BUS 350 Principles of finace Chapter 12 smartbook
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Which one of these is not one of the four basic financial statements?
Statement of ratios
What does a balance sheet do?
reports a firm's assets, liabilities, and equity at a particular point in time
What is the balance sheet identity formula?
Assets = Liabilities + Equity
Rank these assets in order of liquidity with the most liquid asset listed first.
1. Cash
2. Accounts Receivable
3. Inventory
4. Plant and equipment
Which of these examples best defines a liquid asset?
Mia sold 100 shares of stock today at the going market price.
A financial statement provides an Blank______-based picture of a firm's financial condition.
accounting
Which of these assets have useful lives exceeding one year and are classified as fixed assets?
Machinery
Land
Building
Which one of these statements correctly applies to a balance sheet?
A balance sheet shows what a firm owns, what it owes, and what it is worth.
Which one of these correctly defines the balance sheet identity?
Equity = Assets - Liabilities
A current asset is an asset that does which one of the following?
A current asset provides liquidity and a low rate of return.
A firm has fixed assets of $28,000, long-term debt of $12,000, current liabilities of $4,000, current assets
of $5,000 and equity of $17,000. What is the total of the assets side of the balance sheet of the firm?
$33,000
Total assets = Current assets + Fixed assets = $5,000 = $28,000 = $33,000
What is the definition of liquidity?
Liquidity is the ease of conversion of an asset into cash at a fair value.
Which of these assets are generally converted into cash within one year?
Accounts receivable
Inventory
What is the definition of a current asset?
A current asset is an asset that can be converted into cash within one year.
Which one of these is a current asset?
cash
account receivable
What is the definition of a marketable security?
A marketable security is a short-term, low-rate investment security.
A fixed asset is an asset that is defined as having a useful life in excess of which one of these time
periods?
One year
Which one of these is an intangible long-term asset?
Trademark
How is net plant and equipment calculated?
Net plant and equipment is equal to gross plant and equipment less accumulated depreciation
Which of these characteristics apply to a marketable security?
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Provides a low rate of return
Convertible to cash within one year or less
Which one of these reports the amount of money a firm owes its creditors within the next year?
Current liabilities
How is the fixed nature of an asset determined?
A fixed nature of an asset is determined by its useful life.
What is the definition of liabilities?
Liabilities are funds provided by lenders to a firm.
Which of these are fixed assets?
land owned by a retail outlet,
sewing machines owned by a clothing manufacturer
Buster's owns a machine which cost $110,000 initially. The latest financial statement shows depreciation
expense of $22,000 and accumulated depreciation of $77,000. What is the book value of the firm's net
plant and equipment?
$33,000
Reason:
$110,000 - $77,000 = $33,000
What is the definition of current liabilities?
Current liabilities are obligations of the firm that are due within one year.
Which of these are equity accounts?
Preferred stock
Retained earnings
Common stock
Which one of these actions meets the definition of a liability?
Corner Bank loans $100,000 to the Corner Bakery for two years.
Which one of these is a current liability?
6-month note payable
What is the definition of long-term debt?
Long-term debt is defined as the obligations of the firm that are due in more than one year.
Which one of these accounts is a long-term debt?
5-year bonds
Current liabilities are debts of a firm that must be paid within what time frame?
One year
Which of these questions can be answered by monitoring a firm's balance sheets for last year and this
year?
Is the firm more or less liquid than last year?
Did the firm issue additional shares of stock this year?
Which of these definitions of stockholders' equity is correct?
Stockholders' equity is defined as the funds provided by the firm's preferred and common stock owners.
Which of these accounts are current liabilities?
Accounts payable
Notes payable
Accrued wages
Long-term debt is defined as the obligations of the firm that are due after what period of time?
One year
Which of these accounts are long-term debts?
15-year mortgage
10-year bonds
What is the definition of preferred stock?
Preferred stock is a hybrid security that has characteristics of both long-term debt and common stock.
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Which one of these questions can be answered by monitoring a firm's balance sheets?
Level of net working capital
Stockholders' equity can be defined by which one of these formulas?
Stockholders' equity = Assets - Liabilities
True or false: Both common stock and paid in surplus represent a fundamental ownership claim in either
a private or a public company.
True
Which one of these formulas correctly defines retained earnings?
Total net earnings for all years - Total dividends paid for all years
Which of these characteristics apply to the definition of preferred stock?
Fixed periodic payments
Ownership interest in the firm
Which type of depreciation offers the greatest tax deferral benefit in the early years of an asset's life?
MACRS depreciation
Which of these accounts are included in net working capital?
Notes payable
Inventory
Cash
Accounts payable
Accounts receivable
What is the definition of common stock and paid in surplus?
Common stock and paid in surplus represent the fundamental ownership claim in a public or private
company.
What is the definition of retained earnings?
Retained earnings is the cumulative earnings a firm has reinvested rather than paid out as dividends.
Which account is the least liquid of the current asset accounts?
Inventory
Which one of these statements correctly applies to straight-line depreciation?
Straight-line depreciation is commonly used when compiling financial statements.
True or false: Net working capital is a measure of a firm's ability to pay its bills within a year.
True
Balance sheets list assets in declining order of liquidity. Which of these orders best illustrates this?
Cash, accounts receivable, inventory, plant and equipment
Which one of these relationships regarding liquidity is correct?
As the liquidity of assets increases, both the firm's probability of financial distress and its profits on those
assets decrease.
What is the definition of net working capital?
Net working capital is the difference between a firm's current assets and current liabilities.
Which one of the following best illustrates a highly liquid asset?
Sale of a $100 asset by tomorrow at a price of $100.
How can financial leverage be defined?
Financial leverage is the degree to which a firm finances its total assets with debt securities.
True or false: An increase in the financial leverage of a firm reduces both the firm's profits and its losses.
False
How is the capital structure of a firm defined?
Capital structure is the amount of debt versus equity financing held on the balance sheet.
Which relationship of liquidity is correct?
The liquidity of an asset is inversely related to the profitability of that asset.
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How is the book value of land defined?
The book value of land is its historical cost, or the amount paid for that land.
Which one of these assets is considered to be the most liquid?
Accounts receivable
How is financial leverage defined?
Financial leverage is the extent to which debt securities are used by a firm.
Which sentence best illustrates the definition of market value?
If the Cookie Palace sells its oven today, it could receive a price of $89,000.
A change in financial leverage does which one of the following?
A decrease in financial leverage decreases the risks faced by the firm.
Which one of these comparisons fits the definition of capital structure?
The capital structure of a firm compares the total debt to the total equity.
Which statement correctly defines the book value of a firm's assets as shown in the gross plant and
equipment account?
The book value of a firm's assets in the gross plant and equipment account is the total amount the firm
paid for those assets.
Which one of these is the best explanation of the market value per share (MVPS)?
MVPS is the current price at which a share of common stock sells in the open market.
D.O. Co. has a total of $6,500 in total assets and $4,200 in fixed assets on its balance sheet. The fixed
assets were just appraised at $4,700. The firm feels it can liquidate its current assets for 96 percent of
their book value. What is the book and market value of the firm's assets?
The book value is $6,500 and the market value is $6,908.
How is the market value of an asset defined?
The market value of an asset is the amount the firm would receive if it sold the asset.
Book value per share (BVPS) is based on which one of the following?
BVPS is based on the equity of a firm that is attributable to the common shareholders.
What is the definition of an income statement?
An income statement reports total revenues and expenses over a specific period of time.
Which one of these terms is the price at which one share of common stock can currently be sold?
Market value per share
Jed's balance sheet lists cash of $300, accounts receivable of $700, inventory of $1,200, and fixed assets
of $2,800. The inventory can be sold for 95 percent of its costs while 98 percent of the receivables can be
collected. The fixed assets can be sold for $2,700. What are the book and market values of the firm's
assets?
The book value is $5,000 and the market value is $4,826.
Reason:
Book value = $300 + $700 + $1,200 + $2,800 = $5,000
Market value = $300 + (0.98 × $700) + (0.95 × $1,200) + $2,700 = $4,826
When computing book value per share (BVPS) which of these balance sheet values is used as the total
book value?
Common stock + Paid in surplus + Retained earnings
Which of the following calculations are made on the income statement?
Net sales minus the cost of goods sold equals gross profit.
Income from operations minus interest expense equals income before taxes.
Income before income taxes minus income taxes equals net income.
Gross profit minus selling, general, and administrative expenses equals income from operations.
An income statement is best defined by which one of these statements?
An income statement reflects the total revenues that a firm earns over a period of time and the total
expenses incurred to generate those sales.
A firm has sales of $8,900, depreciation of $200, cost of goods sold of $3,700, other operating expenses
of $4,200, and interest of $600. What is the firm's EBIT?
$800
Reason:
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EBIT = Sales - Cost of goods sold - Depreciation - Other operating expenses = $8,900 - $3,700 - $200 -
$4,200 = $800
A firm has net income of $2,200, depreciation of $500, taxes of $600, other operating expenses of $800,
interest of $200, and sales of $5,900. What is the value of EBT?
$2,800
Reason:
EBT = Net income + Taxes = $2,200 + $600 = $2,800
A firm has sales of $2,800, depreciation of $200, earnings before interest and taxes (EBIT) of $900, and
other operating expenses of $400. What is the gross profit?
$1,500
Reason:
Gross profit = EBIT + Other operating expenses + Depreciation = $900 + $400 + $200 = $1,500
Rearrange the following accounts or captions in the order in which they appear on the income
statement: 1. Income from operations 2. Income taxes 3. Cost of goods sold 4. Gross profit
3, 4, 1, 2
Which one of these formulas is a correct computation of EBIT?
EBIT = Gross profits - Depreciation - Other operating expenses
A firm has EBIT of $700, depreciation of $100, taxes of $200, and interest of $300. What is the net
income?
$200
Reason:
Net income = EBIT - Interest - Taxes = $700 - $300 - $200 = $200
Which one of these formulas correctly computes the value of EBT?
EBT = Net income + Taxes
How is gross profit defined?
Gross Profit = Net Sales - Cost of Goods Sold
Les' Market has net sales of $1,300, depreciation of $100, cost of goods sold of $600, and other
operating expenses of $200. What is the gross profit amount?
$700
Reason:
Gross profit = Sales - Cost of goods sold = $1,300 - $600 = $700
What is the definition of EBIT?
EBIT is the earnings before interest and taxes.
How can EBT be defined?
EBT is earnings before taxes, also referred to as taxable income.
A firm has gross profits of $3,200, depreciation of $300, dividends of $200, interest of $500, and addition
to retained earnings of $400, What is the net income?
$600
Reason:
Net income = Dividends paid + Addition to retained earnings = $200 + $400 = $600
A firm has total assets of $439,000, current assets of $49,000, total equity of $283,000 and long-term
debt of $107,000. How do you compute net working capital (NWC)?
NWC = $49,000 - ($439,000 - $107,000 - $283,000)
Gross profit is equal to net sales minus cost of goods sold. How else can gross profit be defined?
Gross profit = EBIT + Other operating expenses + Depreciation
Which one of these defines net income?
Net income is the amount of profit a firm can either distribute as dividends or reinvest in the firm
Which one of these correctly defines EBIT?
EBIT is the earnings a firm generates prior to paying interest to its creditors or income taxes to the
government.
Which one of these statements is a correct interpretation of an income statement?
Earnings per share = Net income available to common stockholders / Total shares of common stock
outstanding
What is the definition of EBT?
EBT is the taxable income of a firm.
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Dalton Bros. has 5,000 shares of common stock outstanding, earnings before taxes of $3,000, preferred
dividends of $1,000, common dividends of $500, and taxes of $900. What is the earnings per share (EPS)
amount?
$0.22
Reason:
EPS = Income available to common stockholders/Total shares outstanding = ($3,000 - $900 -
$1,000)/5,000 = $0.22
___ holders have first claim to the cash flows of the firm.
Debt
A firm has total assets of $358,000 and fixed assets of $220,000. Current liabilities are $77,000 and long-
term debt is $289,000. How do you compute net working capital (NWC)?
NWC = ($358,000 - $220,000) - $77,000
What is the definition of net income?
Net income is the aftertax profit or loss earned over a specified period of time.
What is the definition of an average tax rate?
The average tax rate is the percentage of each dollar of taxable income that the firm pays in taxes.
Another name for the bottom line of an income statement is
net income
Which one of these formulas will correctly compute the earnings per share (EPS)?
EPS = Net income available to common stockholders/Total shares of common stock outstanding
Which party has a residual claim to a firm's cash flows?
Stockholders
Which of one of these statements best illustrates the definition of a marginal tax rate?
Antonio will pay $0.28 more in taxes if his taxable income increases by $1, or 28 percent.
Which one of these formulas best defines an average tax rate?
Average tax rate = Tax liability/Taxable income
John owed $10,000 in taxes on taxable income of $40,000. If John earns an additional $1,000, he will pay
an additional $280. Therefore:
his average tax rate is about 25%
True or false: All interest payments and dividends are deducted from operating income when the firm
calculates taxable income.
False
What is the definition of a marginal tax rate?
The marginal tax rate is the amount of additional taxes a firm must pay out for every additional dollar of
taxable income it earns.
If Mary owes the IRS $5,000 for her income taxes and is in the 15% marginal tax bracket, what would be
her average tax rate if she had taxable income of $41,667?
About 12%
Which of these reduce the taxable income of a corporation?
Interest expense
The Keyser Corporation owns 1,000 shares of Mountain Top Industries. How are the dividends paid by
Mountain Top to Keyser treated for federal tax purposes?
Thirty percent of the dividend income received is taxable, the other seventy percent is tax-exempt.
What is the basic reason why debt financing affects the income available to asset funders?
Interest is a tax-deductible expense.
Delta's has operating income of $128,000 and a 35 percent tax rate and is all-equity financed. Sigma's
has operating income of $128,000, a 35 percent tax rate, and has $15,000 in interest expense since it is
partially debt-financed. What is the difference in the income available for asset funders between these
two firms?
$5,250
Reason:
Asset funders includes both bondholders and stockholders so the difference = Tax savings on interest =
0.35($15,000) = $5,250
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Which of these statements regarding the federal taxation of interest income earned by a corporation
is(are) correct?
Interest earned on a bond issued by a city is tax-exempt.
Interest earned on a corporate bond is taxable.
Which one of these best explains how debt financing affects the income available to a firm's asset
funders?
Debt increases the income available to asset funders by an amount equal to the interest on the debt
times the tax rate.
Dexter's has operating income of $82,000 and a 30 percent tax rate and is all-equity financed. Brown's
has operating income of $82,000, a 30 percent tax rate, and has $5,000 in interest expense since it is
partially debt-financed. What is the difference in the income available for asset funders between these
two firms?
1,500
Reason:
Asset funders includes both bondholders and stockholders so the difference = Tax savings on interest =
0.30($5,000) = $1,500.
The statement of cash ___ is a financial statement that provides a reconciliation of the opening and ___
total of cash and ___ ___.
Blank 1: flows
Blank 2: closing
Blank 3: cash
Blank 4: equivalent
Which one of these statements related to the recording of financial statement items based on GAAP is
(are) correct?
Expenses related to the production of a product are recorded on the income statement when that
product is sold, not when the expenses are paid.
Which one of these accounts is a noncash expense?
amortization
Depreciation
A statement of cash flows reflects a net cash flow from operating activities of -$89 million, a net cash
flow from investing activities of $42 million, and a net cash flow from financing activities of $28 million.
What can you determine from this information?
The firm sold long-term assets, issued securities, and reduced its cash holdings in order to finance its
operations.
A financial statement that provides a reconciliation of the opening and closing total of cash and cash
equivalent balances is referred to as:
the statement of cash flows
Explain why following GAAP to record sales on an income statement may differ from the cash flows
generated by those sales.
GAAP requires the revenue from a sale be recorded at the time of sale, which may not coincide with the
cash flow from the sale.
Which of these statements regarding the federal taxation of interest income earned by a corporation
is(are) correct? Select all that apply.
Interest earned on a corporate bond is taxable.
Interest earned on a bond issued by a city is tax-exempt.
Which of these is (are) a source of cash?
Decrease in inventory
Increase in long-term debt
The statement of cash flows separates cash flows into which of the following categories?
Cash flow from financing activities.
Cash flow from investing activities.
Net change in cash and marketable securities
Cash flow from operating activities.
Which of these statements is correct concerning the structure of a statement of cash flows?
An increase in accounts payable is an addition to the cash flows from operating activities.
A decrease in fixed assets is an addition to the cash flows from investing activities.
Which one of the following is a use of cash?
Increase in a fixed asset
Which one of these is a subtraction from the cash flows from operating activities?
Decrease in accrued wages and taxes
True or false: A decrease in a long-term asset account balance is a cash flow from investing activity.
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True
Interest payments on long-term debt are found in what section of the Statement of Cash Flows?
Cash flows from operating activities
Which one of these is an addition to the cash flows from investing activities?
Decrease in other long-term assets
Which one of these is an addition to the cash flows from operating activities?
Decrease in accounts receivable
Which one of these is a cash flow from an investing activity?
Increase/decrease in fixed assets
Which of these statements is correct concerning the structure of a statement of cash flows?
A decrease in fixed assets is an addition to the cash flows from investing activities.
An increase in accounts payable is an addition to the cash flows from operating activities.
Which one of these is a cash flow from a financing activity?
Decrease in loans payable
Which one of these is a subtraction from the cash flows from investing activities?
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Increase in a fixed asset
Which of these are additions to the cash flows from financing activities?
Increase in long-term debt
Increase in common stock
Which of the following is not a cash flow from operating activities?
payments of dividends to stockholders
Which of these are cash flows from financing activities?
Decrease in long-term debt
Increase in common stock
Preferred stock dividend
True or false: The cash flows directly resulting from a firm's sales and production activities are classified
as cash flows from investing activities.
False
Reason:
The cash flows directly resulting from a firm's sales and production activities are classified as cash flows
from operations.
Which one of these is a subtraction from the cash flows from financing activities?
Buying back common stock
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Which section of the statement of cash flows is most directly related to net income?
cash flows from operating activities
Which one of these is classified as a cash flow from operating activities?
Decrease in accounts payable
What is the definition of cash flows from operations?
Cash flow from operations is defined as the cash flows that are the direct result of the production and
sale of the firm's products.
True or false: Cash flows that result from debt and equity financing transactions are cash flows from
financing activities.
True
The section of the statement of cash flows that is most directly related to net income from the income
statement is cash flows from ___ activities.
Blank 1: operating
True or false: The cash flows that result from debt and equity financing transactions are cash flows from
financing activities.
True
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Which of these are added or subtracted from net income to compute the net cash flows from operating
activities?
Decrease in accrued wages and taxes
Depreciation
Increase in inventory
A statement of cash flows for the year ending December 31, 2012 shows a net change in cash and
marketable securities of $20. How can this $20 change be defined?
Cash and marketable securities were $20 more on December 31, 2012 than they were on December 31,
2011.
Which one of these is the definition of cash flows from investing activities?
Cash flow from investing activities is defined as the cash flows associated with the purchase or sale of
fixed or other long-term assets.
Kettles, Inc., paid $50,000 in preferred dividends and $100,000 in common dividends this year. There are
25,000 shares of preferred stock and 40,000 shares of common stock outstanding. What is the amount
of the dividends per share (DPS)?
2.50
Reason:
Dividends per share = Common stock dividends/Number of shares of common stock outstanding =
$100,000/40,000 = $2.50
Cash flows from financing activities are defined as the cash flows resulting from which one of the
following?
Debt and equity financing transactions
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A firm has EBIT of $600, depreciation of $200, and a tax rate of 34 percent. What is the operating cash
flow?
596
Reason:
OCF = EBIT(1 - Tax rate) + Depreciation = $600(1 - 0.34) + $200 = $596
A firm has a negative free cash flow and a negative operating cash flow. What does this indicate?
The firm is experiencing operating or managerial problems.
Which one of these correctly defines the net change in cash and marketable securities as it is used on
the statement of cash flows?
The net change in cash and marketable securities is the sum of the cash flows from operations, investing
activities, and financing activities.
The statement of retained earnings reconciles the dividends paid and the change in retained earnings to
which one of these?
Net income
Which one of these formulas will correctly compute dividends per share (DPS)?
DPS = Common stock dividends paid/Number of shares of common stock outstanding
A firm has an operating cash flow of $600, a net change in gross fixed assets of $100, and a change in net
operating working capital of $50. What is the firm's free cash flow (FCF)?
$450
Reason:
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IOC = Change in gross fixed assets + Change in net operating working capital. FCF = OCF - IOC = $600 -
($100 + $50) = $450.
A firm with positive operating cash flow but negative free cash flow may be
investing heavily in operating capital
Assume net income is $32, cash dividends paid are $20, and the ending retained earnings balance is $44.
What is the change in retained earnings for the period?
12
Reason:
Change in retained earnings = Net income - Cash dividends paid = $32 - $20 = $12
Which one of these formulas depicts the definition of the statement of retained earnings?
Net income = Dividends paid + Change in retained earnings
A statement of retained earnings showed a beginning retained earnings balance of $24 and an ending
balance of $22. Net income was positive. What do you know given this information?
Cash dividends paid exceeded net income.
Which of these actions fits the definition of earnings management?
A major sale to a customer was purposely delayed one day so it would be recorded in a later accounting
period.
The Sarbanes-Oxley Act of 2002 requires senior management of a firm to do which one of these?
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Certify the financial statements are accurate and representative of the firm's earnings
What is the definition of a statement of cash flows?
A statement of cash flows is a financial statement that shows the firm's cash flows over a period of time.
Earnings management is the process of controlling which of these for a firm?
Profits
Which of these is a requirement of the Sarbanes-Oxley Act of 2002?
A corporate board's audit committee must have considerable experience with GAAP.
Which one of these is the best definition of a statement of cash flows?
A statement of cash flows summarizes the sources and uses of cash by type of cash flow.
True or false: Net working capital is a measure of a firm's ability to pay its bills within a year.
True
What is pro forma analysis?
Estimation of future project cash flows using only the relevant parts of the financial statements
What is an incremental cash flow?
A cash flow that either increases or decreases when a new project is implemented
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Which one of these represents an opportunity cost?
Assigning a current employee to a new project
Should opportunity costs be included in or excluded from project analysis? Why?
Included; The firm must forego using the resource in any other way, thereby incurring a cost.
What is the definition of net working capital?
Net working capital is the difference between a firm's current assets and current liabilities.
What is a sunk cost?
A previously incurred cost that cannot be recovered
In pro forma analysis, what determines whether or not an account on the balance sheet or income
statement is relevant to a project?
If the project causes an account value to change, then it is relevant.
How can you determine if a cash flow is incremental to a project? Select all that apply.
The cash flow will disappear when the project ceases.
The cash flow occurs only if a new project is implemented.
The cash flow changes only when a new project is implemented.
Which of these represent opportunity costs? Select all that apply.
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Using a piece of company equipment that has been sitting idle for two years in a new project.
Building a new building on a vacant lot owned by the firm.
Using a current employee who is about to be laid off to run a project on a day by day basis.
Opportunity costs are costs incurred when resources owned or employed by a firm have which one
these characteristics?
Multiple uses
How can a sunk cost be recovered?
Sunk costs cannot be recovered.
What is pro forma analysis?
Estimation of future project cash flows using only the relevant parts of the financial statements
Why are sunk costs excluded from project analysis?
The costs have been incurred and cannot be recouped with or without the project.
What is an incremental cash flow?
A cash flow that either increases or decreases when a new project is implemented
Leo's currently sells $5,000 of wood toys and $2,000 of metal toys. Leo's wants to begin selling plastic
toys. If it does, the expected sales are $7,500 of wood toys, $2,500 of metal toys, and $3,500 of plastic
toys. What is the value of the complementary effect of the plastic toys?
$3,000.
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Reason: Complementary effect = ($7,500 - $5,000) + ($2,500 - $2,000) = $3,000
Which one of these represents an opportunity cost?
Assigning a current employee to a new project
Which of these is the best description of the substitution effect?
Any decrease in the level of sales, costs, or necessary assets of a firm's current operations that is caused
by the implementation of a new project.
Reason: This answer defines a complementary effect. Substitute effects are decreases in current sales or
costs caused by a new project.
Should opportunity costs be included in or excluded from project analysis? Why?
Included; The firm must forego using the resource in any other way, thereby incurring a cost.
What is a sunk cost?
A previously incurred cost that cannot be recovered.
Which of these illustrates a complementary effect? Select all that apply.
A new product increases the sales of one of the firm's existing products.
A new product increases traffic flow thereby increasing the revenue generated by a firm's existing
products.
Mike's Garage spent $1,000 last week to repair its parking lot. No matter what Mike does, he cannot
recoup this expense for his business. What type of cost is this?
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Sunk cost
What is a financing cost?
Interest and dividends paid as a result of external financing
Krista's Place sells $15,000 of art work and $12,000 of craft supplies. If Krista's add home accessories, the
projected sales become $12,000 of art work, $9,000 of craft supplies, and $13,000 of home accessories.
What is the substitution effect of the home accessories?
-$6,000.
Reason: Substitution effect = ($12,000 -$15,000) + ($9,000 - $12,000) = -$6,000
How is a complementary effect defined?
Any increase in the current level of sales, costs, or necessary assets of a firm's existing operations caused
by a new project
What is an opportunity cost?
The value of the next best alternative use of a resource owned or employed by a firm
Which one of these is an example of the substitution effect?
Current employee costs are lowered due to the automation processes implemented by a new project
Which of these are financing costs? Select all that apply.
Bond interest
Stock dividend
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Leo's currently sells $5,000 of wood toys and $2,000 of metal toys. Leo's wants to begin selling plastic
toys. If it does, the expected sales are $7,500 of wood toys, $2,500 of metal toys, and $3,500 of plastic
toys. What is the value of the complementary effect of the plastic toys?
$3,000.
Reason: Complementary effect = ($7,500 - $5,000) + ($2,500 - $2,000) = $3,000
Which of these is the best description of the substitution effect?
Any decrease in the level of sales, costs, or necessary assets of a firm's current operations that is caused
by the implementation of a new project
Opportunity costs are costs incurred when resources owned or employed by a firm have which one
these characteristics?
Multiple uses
How is bond interest included in the analysis of a new project?
Bond interest is included in the computation of a bond's yield to maturity, which is the pretax cost of
debt used to compute a project's WACC
Which of these illustrates a complementary effect? Select all that apply.
A new product increases the sales of one of the firm's existing products.
A new product increases traffic flow thereby increasing the revenue generated by a firm's existing
products.
Why are financing costs excluded from project cash flows?
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Financing costs are included in the required return used to discount project cash flows.
What is a financing cost?
Interest and dividends paid as a result of external financing
What are the key differences between the free cash flows of a firm and those of a project? Select all that
apply.
Firm free cash flows are actual values while project free cash flows are estimates.
Krista's Place sells $15,000 of art work and $12,000 of craft supplies. If Krista's add home accessories, the
projected sales become $12,000 of art work, $9,000 of craft supplies, and $13,000 of home accessories.
What is the substitution effect of the home accessories?
-$6,000.
Reason: Substitution effect = ($12,000 -$15,000) + ($9,000 - $12,000) = -$6,000
What types of costs are included in an asset's depreciable basis? Select all that apply.
Installation and testing costs
Sales tax and freight charges
Purchase price of the asset
How is a complementary effect defined?
Any increase in the current level of sales, costs, or necessary assets of a firm's existing operations caused
by a new project
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Which one of these computes the amount of annual depreciation using the straight-line method? Ignore
the half-year convention.
(Depreciable basis - Ending book value)/Life of asset
How are the dividends paid on stock included in the analysis of a new project?
Financing costs, such as dividends, are considered in the component costs of capital when a project's
WACC is calculated.
True or false: Since financing costs are included in project WACC, which are used to discount project cash
flows, we need to count them as expenses on the project
False
Free cash flows for which one of the following are affected by estimation error?
Project free cash flows only
McGinty's purchased a new machine for $318,000, paid $19,000 in sales tax, and $7,500 in delivery
charges. The firm paid $3,400 to have the machine calibrated once it was set in place. The machine
requires $5,600 of annual maintenance. What is the depreciable basis of the machine?
Multiple choice question.
$340,400
$347,900.
Reason: Depreciable basis = $318,000 + $19,000 + $7,500 + $3,400 = $347,900
A new asset costs $28,000 including all sales taxes and other installation costs. The asset is to be
depreciated to an ending book value of $5,000 over the asset's 5-year life. The asset is expected to be
sold for $7,800 at the end of the five years. How is the annual depreciation computed?
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($28,000 - $5,000)/5
How can straight-line depreciation be defined? Ignore the half-year convention.
Total amount to be depreciated spread evenly over an asset's life
How is bond interest included in the analysis of a new project?
Bond interest is included in the computation of a bond's yield to maturity, which is the pretax cost of
debt used to compute a project's WACC
Why are financing costs excluded from project cash flows?
Financing costs are included in the required return used to discount project cash flows.
What are the key differences between the free cash flows of a firm and those of a project? Select all that
apply.
Firm free cash flows are actual values while project free cash flows are estimates.
A firm purchased a new machine costing $28,000 including sales tax. It also paid $2,000 for delivery and
installation. The machine has a life of 6 years and an expected ending book value of $5,000. How is the
depreciation computed using the straight-line method? Ignore the half-year convention.
($28,000 + $2,000 - $5,000)/6
Which one of these computes the amount of annual depreciation using the straight-line method? Ignore
the half-year convention.
(Depreciable basis - Ending book value)/Life of asset
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The Foster House purchased a machine costing $10,000 and paid $600 in sales tax. Shipping and
installation cost $1,400. The machine has a 5-year life after which it should have a book value of $5,000
and a market value of $4,000. What is the annual, straight-line depreciation, ignoring the half year
convention?
$1,400.
Reason: Depreciation = ($10,000 + $600 + $1,400 - $5,000)/5 = $1,400
True or false: Since financing costs are included in project WACC, which are used to discount project cash
flows, we need to count them as expenses on the project
False
Free cash flows for which one of the following are affected by estimation error?
Project free cash flows only.
Reason: Project free cash flows are affected by estimation errors because the cash flows are estimates.
Firm free cash flows are actual values.
A new asset costs $28,000 including all sales taxes and other installation costs. The asset is to be
depreciated to an ending book value of $5,000 over the asset's 5-year life. The asset is expected to be
sold for $7,800 at the end of the five years. How is the annual depreciation computed?
($28,000 - $5,000)/5
How can straight-line depreciation be defined? Ignore the half-year convention.
Total amount to be depreciated spread evenly over an asset's life.
Reason: Depreciation = (Depreciable basis - Ending book value)/Life of asset
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The values for the first year of a project are: Expected sales of 280 units, a selling price of $46, fixed costs
of $3,100, depreciation of $1,100, variable cost per unit of $28, and a tax rate of 35 percent. What is the
OCF?
$1,646.
Reason: OCF = {[280($46 - $28)] - $3,100 - $1,100}(1 - 0.35) + $1,100 = $1,646
Ty's purchased a machine costing $11,000 and paid $660 in sales tax. Shipping and installation cost
$1,500. The machine has a 3-year life after which it should have a book value of $3,500 and a market
value of $5,000. What is the annual, straight-line depreciation, ignoring the half year convention?
$3,220.
Reason: Depreciation = ($11,000 + $660 + $1,500 - $3,500)/3 = $3,220
Why are financing costs excluded from project cash flows?
Financing costs are included in the required return used to discount project cash flows.
Suppose a project has an EBIT of -$1,500. If the tax rate is 21%, what are the computed taxes?
Negative $315
What are the key differences between the free cash flows of a firm and those of a project? Select all that
apply.
Firm free cash flows are actual values while project free cash flows are estimates.
A firm purchased a new machine costing $28,000 including sales tax. It also paid $2,000 for delivery and
installation. The machine has a life of 6 years and an expected ending book value of $5,000. How is the
depreciation computed using the straight-line method? Ignore the half-year convention.
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($28,000 + $2,000 - $5,000)/6
Values for the first year of a project are projected as: Sales = $1,800, Depreciation = $300, Fixed costs =
$450, Variable costs = $620, Tax rate = 34 percent. What is the OCF?
$583.80.
Reason: OCF = ($1,800 - $620 - $450 - $300)(1 - 0.34) + $300 = $583.80
Manor's purchases some equipment in preparation for a new project. Which of these are time zero cash
flows for that project? Select all that apply.
Shipping costs to have the equipment delivered
Installation and initial testing costs
Purchase price of the equipment
How are taxes computed when a project's EBIT is negative?
The tax rate is multiplied by EBIT producing a tax credit.
Free cash flows for which one of the following are affected by estimation error?
Project free cash flows only
What types of activities related to a project's fixed assets can create a cash flow for the final year of a
project? Select all that apply.
Trading in the project's equipment on new equipment for other projects.
Scrapping equipment that has a positive book value but no market value.
Selling the project's equipment.
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A new asset costs $28,000 including all sales taxes and other installation costs. The asset is to be
depreciated to an ending book value of $5,000 over the asset's 5-year life. The asset is expected to be
sold for $7,800 at the end of the five years. How is the annual depreciation computed?
($28,000 - $5,000)/5
The values for the first year of a project are: Expected sales of 280 units, a selling price of $46, fixed costs
of $3,100, depreciation of $1,100, variable cost per unit of $28, and a tax rate of 35 percent. What is the
OCF?
$1,646.
Reason: OCF = {[280($46 - $28)] - $3,100 - $1,100}(1 - 0.35) + $1,100 = $1,646
How is the gain or loss on a sale of equipment determined?
Market value - Book value
Which one of these represents a time zero project cash flow?
Purchase of new equipment to start a project
Suppose a project has an EBIT of -$1,500. If the tax rate is 21%, what are the computed taxes?
Negative $315
In 4 years, an existing machine will have a zero book value and a market value of $4,200. A new machine
costing $26,400 can replace this machine, lower variable costs by $8,200 a year, and have a market value
of $13,300 and a zero book value in 4 years. The incremental depreciation is $5,300. The tax rate is 35%.
What is the operating cash flow for year 4?
$7,185.
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Reason: OCF = ($8,200 - $5,300)(1 - 0.35) + $5,300 = $7,185
What two conditions must exist for equipment to have no effect on a project's final cash flows? Select
two. Assume there are no disposal costs.
Zero market value
Zero book value
A firm purchased a new machine costing $28,000 including sales tax. It also paid $2,000 for delivery and
installation. The machine has a life of 6 years and an expected ending book value of $5,000. How is the
depreciation computed using the straight-line method? Ignore the half-year convention.
($28,000 + $2,000 - $5,000)/6
A firm purchased equipment at a total cost of $287,000, which was depreciated straight-line over seven
years. After five years, the equipment was sold for $98,900. What is the ATCF at a tax rate of 34 percent?
$93,154.
Reason: Book value = $287,000 - (5/7 × $287,000) = $82,000; ATCF = $82,000 + ($98,900 - $82,000)(1 -
0.34) = $93,154
Which one of these explains the after-tax cash flow formula for the sale of an asset?
The cash flow equals the book value plus the after-tax value of any gain or loss on the sale.
Manor's purchases some equipment in preparation for a new project. Which of these are time zero cash
flows for that project? Select all that apply.
Purchase price of the equipment
Installation and initial testing costs
Shipping costs to have the equipment delivered
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In four years, an existing machine will have a zero book value and a market value of $4,200. A new
machine costing $26,400 can replace this machine, lower variable costs by $8,200 a year, and have a
market value of $13,300 and a zero book value in 4 years. The incremental depreciation is $5,300. The
tax rate is 35 percent. What is the free cash flow for year 4?
$13,100.
Reason: OCF = ($8,200 - $5,300)(1 - 0.35) + $5,300 = $7,185; FCF = $7,185 + $13,300(1 - 0.35) - $4,200(1 -
0.35) = $13,100
What types of activities related to a project's fixed assets can create a cash flow for the final year of a
project? Select all that apply.
Scrapping equipment that has a positive book value but no market value
Trading in the project's equipment on new equipment for other projects
Selling the project's equipment
A project has a 3-year life and annual sales projections of $120,000, $160,000 and $190,000 for years 1
to 3, respectively. The project requires net working capital (NWC) equal to 5 percent of the next year's
sales. How is this requirement handled in project analysis? Select all that apply.
A cash inflow of (0.05 × $190,000) occurs in year 3.
A cash outflow of [0.05 × ($160,000 - $120,000)] is recorded in year 1.
A cash outflow of (0.05 × $120,000) is recorded at time zero.
A firm purchased equipment at a total cost of $300,000, which was depreciated straight-line over six
years. After six years, the equipment was sold for $100,000. What is the ATCF at a tax rate of 21%?
$79,000.
Reason: Book value = $300,000 - (6/6 × $300,000) = $0; ATCF = $0 + ($100,000 - $0)(1 - 0.21) = $79,000
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How is the gain or loss on a sale of equipment determined?
Market value - Book value
A project requires $21,000 of net working capital (NWC) over its 4-year life. Which one of these is
correct?
There is no cash flow for NWC in years 1 to 3.
Which one of these represents a time zero project cash flow?
Purchase of new equipment to start a project
A new project requires $24,000 of equipment which will be depreciated straight-line to zero over the
project's 4-year life. The project requires $2,400 of NWC, the annual OCF is $16,000, and the tax rate is
35 percent. The equipment's market value at the end of year 4 is $5,000. What cash flows occur in year
4? Select all that apply.
$5,000 × (1 - 0.35)
$2,400
In 4 years, an existing machine will have a zero book value and a market value of $4,200. A new machine
costing $26,400 can replace this machine, lower variable costs by $8,200 a year, and have a market value
of $13,300 and a zero book value in 4 years. The incremental depreciation is $5,300. The tax rate is 35%.
What is the operating cash flow for year 4?
$7,185.
Reason: OCF = ($8,200 - $5,300)(1 - 0.35) + $5,300 = $7,185
If you add all the cash flows related to net working capital (NWC) over a project's life, what sum must
you obtain if your cash flows are correct?
Zero.
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Reason: Over the life of a project, the NWC cash flows must sum to zero as NWC is returned to its pre-
project level when a project ends.
A firm purchased equipment at a total cost of $287,000, which was depreciated straight-line over seven
years. After five years, the equipment was sold for $98,900. What is the ATCF at a tax rate of 34 percent?
$93,154.
Reason: Book value = $287,000 - (5/7 × $287,000) = $82,000; ATCF = $82,000 + ($98,900 - $82,000)(1 -
0.34) = $93,154
A project has projected annual sales of $96,000, $112,000 and $136,000 for years 1 to 3, respectively.
The project requires net working capital (NWC) equal to 6 percent of the following year's sales. Which of
these are correct cash flows for this project?
Cash outflow of $1,440 in year 2.
Reason: Year 2 cash outflow = 0.06 × ($136,000 - $112,000) = $1,440
A project has a 3-year life and requires equipment costing $34,000. The OCF is estimated at $16,000
annually. NWC of $3,500 is required over the project's life. What cash flows occur at time zero? Select all
that apply.
-$34,000
-$3,500
In four years, an existing machine will have a zero book value and a market value of $4,200. A new
machine costing $26,400 can replace this machine, lower variable costs by $8,200 a year, and have a
market value of $13,300 and a zero book value in 4 years. The incremental depreciation is $5,300. The
tax rate is 35 percent. What is the free cash flow for year 4?
$13,100.
Reason: OCF = ($8,200 - $5,300)(1 - 0.35) + $5,300 = $7,185; FCF = $7,185 + $13,300(1 - 0.35) - $4,200(1 -
0.35) = $13,100
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A project requires $15,000 of net working capital throughout its 5-year life. How is this requirement
handled in project analysis? Select all that apply.
$15,000 is a cash inflow in year 5.
$15,000 is a cash outflow at time zero.
A firm purchased equipment at a total cost of $300,000, which was depreciated straight-line over six
years. After six years, the equipment was sold for $100,000. What is the ATCF at a tax rate of 21%?
$79,000.
Reason: Book value = $300,000 - (6/6 × $300,000) = $0; ATCF = $0 + ($100,000 - $0)(1 - 0.21) = $79,000
A project has a 2-year life, net income of $14,500 a year, and a tax rate of 34 percent. The project
requires $6,000 of equipment which will be depreciated straight-line over 3 years, and have a market
value of $2,500 at the end of year 2. The NWC requirement is $1,500. What is the total cash flow for year
2?
$20,330.
Reason: OCF = $14,500 + ($6,000/3) = $16,500; Book value at the end of year 2 = $6,000/3 = $2,000;
ATCF = $2,000 + ($2,500 - $2,000)(1 - 0.34) = $2,330; Year 2 cash flow = $16,500 + $1,500 + $2,330 =
$20,330
A project requires $21,000 of net working capital (NWC) over its 4-year life. Which one of these is
correct?
There is no cash flow for NWC in years 1 to 3.
A new project requires $24,000 of equipment which will be depreciated straight-line to zero over the
project's 4-year life. The project requires $2,400 of NWC, the annual OCF is $16,000, and the tax rate is
35 percent. The equipment's market value at the end of year 4 is $5,000. What cash flows occur in year
4? Select all that apply.
$5,000 × (1 - 0.35)
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$2,400
In 4 years, an existing machine will have a zero book value and a market value of $4,200. A new machine
costing $26,400 can replace this machine, lower variable costs by $8,200 a year, and have a market value
of $13,300 and a zero book value in 4 years. The incremental depreciation is $5,300. The tax rate is 35%.
What is the operating cash flow for year 4?
$7,185.
Reason: OCF = ($8,200 - $5,300)(1 - 0.35) + $5,300 = $7,185
If you add all the cash flows related to net working capital (NWC) over a project's life, what sum must
you obtain if your cash flows are correct?
Zero
The half-year convention is based on which of these assumptions?
All assets placed in service during a given period were placed in service at the mid-point of the period
A project has a 3-year life, net income of $10,000 a year, and a tax rate of 21%. The project requires
$9,000 of equipment which will be depreciated straight-line over 3 years, and have a market value of
$3,000 at the end of year 3. The NWC requirement is $1,500 which is returned at the end of year 3.
What is the total cash flow for year 3?
$16,871.
Reason: OCF = $10,000 + ($9,000/3) = $13,000; Book value at the end of year 3 = $0 ATCF = $0 + ($3,000
- $0)(1 - 0.21) = $2,371 Year 2 cash flow = $13,000 + $1,500 + $2,371 = $16,871
A project has projected annual sales of $96,000, $112,000 and $136,000 for years 1 to 3, respectively.
The project requires net working capital (NWC) equal to 6 percent of the following year's sales. Which of
these are correct cash flows for this project?
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Cash outflow of $1,440 in year 2.
Reason: Year 2 cash outflow = 0.06 × ($136,000 - $112,000) = $1,440
An asset has a 3-year life and a depreciable basis of $16,400. What is the depreciation in year 4 given
straight-line depreciation with half-year convention. The depreciation table percentages are 16.67,
33.33, 33.33, and 16.67 percent for years 1 to 4, respectively.
$2,733.88.
Reason: Depreciation Year 4 = 0.1667 × $16,400 = $2,733.88
A project has a 3-year life and requires equipment costing $34,000. The OCF is estimated at $16,000
annually. NWC of $3,500 is required over the project's life. What cash flows occur at time zero? Select all
that apply.
-$34,000
-$3,500
What is the double-declining balance (DDB) method of depreciation?
The depreciation rate is 200 percent of the straight-line rate with the rate applied to the current book
value.
In four years, an existing machine will have a zero book value and a market value of $4,200. A new
machine costing $26,400 can replace this machine, lower variable costs by $8,200 a year, and have a
market value of $13,300 and a zero book value in 4 years. The incremental depreciation is $5,300. The
tax rate is 35 percent. What is the free cash flow for year 4?
$13,100.
Reason: OCF = ($8,200 - $5,300)(1 - 0.35) + $5,300 = $7,185; FCF = $7,185 + $13,300(1 - 0.35) - $4,200(1 -
0.35) = $13,100
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Which one of these is a feature of MACRS depreciation?
Depreciation commences with an accelerated method and later switches to a straight-line method.
Over how many tax years will a 3-year asset be depreciated given the half-year convention?
4 years
A project has a 2-year life, net income of $14,500 a year, and a tax rate of 34 percent. The project
requires $6,000 of equipment which will be depreciated straight-line over 3 years, and have a market
value of $2,500 at the end of year 2. The NWC requirement is $1,500. What is the total cash flow for year
2?
$20,330.
Reason: OCF = $14,500 + ($6,000/3) = $16,500; Book value at the end of year 2 = $6,000/3 = $2,000;
ATCF = $2,000 + ($2,500 - $2,000)(1 - 0.34) = $2,330; Year 2 cash flow = $16,500 + $1,500 + $2,330 =
$20,330
An asset has an initial cost of $43,000 and is classified as 3- year MACRS property. The MACRS
percentages are 33.33, 44.45, 14.81, and 7.41 percent for years 1 through 4, respectively. What is the
depreciation for year 3?
$6,368.30.
Reason: Depreciation Year 3 = 0.1481 × $43,000 = $6,368.30
An asset has a 4-year life and a depreciable basis of $12,000. What is the first year's depreciation given
the straight-line method with half-year convention? The depreciation table percentages are 12.5, 25, 25,
25, and 12.5 for years 1 through 5, respectively.
$1,500.
Reason: Depreciation Year 1 = 0.125 × $12,000 = $1,500
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What does accelerated depreciation indicate?
Depreciation in the first half of an asset's life is greater.
Why would a firm prefer to use MACRS rather than straight-line depreciation for tax purposes?
The tax deduction from depreciation is greater in the early years.
The half-year convention is based on which of these assumptions?
All assets placed in service during a given period were placed in service at the mid-point of the period.
How do Section 179 deductions aid small businesses?
Section 179 allows eligible property, up to stated limits, to be fully expensed in the year of purchase.
An asset cost $52,000, has a 5-year MACRS life, and a current book value of $41,600. The MACRS
percentages for years 1 to 6 are 20, 32, 19.2, 11.52, 11.52, and 5.76 percent, respectively. What is the
depreciation for year 2?
$16,640.
Reason: Depreciation Year 2 = 0.32 × $52,000 = $16,640
An asset has a 3-year life and a depreciable basis of $16,400. What is the depreciation in year 4 given
straight-line depreciation with half-year convention. The depreciation table percentages are 16.67,
33.33, 33.33, and 16.67 percent for years 1 to 4, respectively.
$2,733.88.
Reason: Depreciation Year 4 = 0.1667 × $16,400 = $2,733.88
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Which of these are properties eligible for a Section 179 deduction? Select all that apply.
Machinery purchased by a firm
Most storage facilities built by a firm
What is the double-declining balance (DDB) method of depreciation?
The depreciation rate is 200 percent of the straight-line rate with the rate applied to the current book
value.
An asset is 5-year MACRS property and has an initial cost of $64,200. The MACRS percentages are: 20,
32, 19.2, 11.52, 11.52, and 5.76 percent for years 1 to 6, respectively. What is the book value at the end
of year 4?
$11,093.76.
Reason: Book value4 = $64,200 × (1 - 0.2 - 0.32 - 0.192 - 0.1152) = $11,093.76
Which of these correctly apply to MACRS depreciation? Select all that apply.
All of the MACRS percentages found in the IRS tables are applied to an asset's initial depreciable basis.
MACRS uses DDB for 3- to 10-year property and then switches to SL when SL produces a higher
depreciation value.
MACRS tables are provided by the IRS.
Which one of these represents a limit placed on Section 179 deductions?
Taxable income from the active conduct of the firm
An asset has an initial cost of $43,000 and is classified as 3- year MACRS property. The MACRS
percentages are 33.33, 44.45, 14.81, and 7.41 percent for years 1 through 4, respectively. What is the
depreciation for year 3?
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$6,368.30.
Reason: Depreciation Year 3 = 0.1481 × $43,000 = $6,368.30
Which one of these is property eligible for a Section 179 deduction?
A cow barn that you build on your farm
According to the time value of money, what increases if an asset it depreciated as quickly as possible?
Present Value of the Income Tax Shield
An asset has a depreciable basis of $13,200 and qualifies as 3-year MACRS property. The MACRS
percentages are: 16.67, 33.33, 33.33. and 16.67 percent for years 1 to 4, respectively. What is the year 3
ending book value?
$2,200.44.
Reason: Book value3 = $13,200 × (1 - 0.1667 - 0.3333 - 0.3333) = $2,200.44
Which one of these is a feature of MACRS depreciation?
Depreciation commences with an accelerated method and later switches to a straight-line method.
A firm has an existing asset with a book value of $6,600 and annual depreciation of $2,200. Assume this
asset is replaced with a new asset costing $15,400. The new asset will be depreciated straight-line over
its 5-year life. What is the incremental depreciation for year 4?
$880
Reason: The existing asset will be fully depreciated in year 3 so there is no foregone depreciation in year
4.
Depreciation4 = $15,400/5 = $3,080
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How do Section 179 deductions aid small businesses?
Section 179 allows eligible property, up to stated limits, to be fully expensed in the year of purchase.
How can a replacement problem be defined?
Buying a new asset which will be used in place of an existing asset that is still usable
An asset cost $52,000, has a 5-year MACRS life, and a current book value of $41,600. The MACRS
percentages for years 1 to 6 are 20, 32, 19.2, 11.52, 11.52, and 5.76 percent, respectively. What is the
depreciation for year 2?
$16,640.
Reason: Depreciation Year 2 = 0.32 × $52,000 = $16,640
An asset with a remaining book value of $138 is sold for $96. How is the after-tax cash flow (ATCF)
computed if the tax rate is 35 percent?
ATCF = $138 + ($96 - $138)(1 - 0.35)
Assume a firm has a tax rate of 34 percent which remains stable from year to year. Which type of
depreciation should the firm use when computing its taxes?
MACRS with half-year convention
An asset is 5-year MACRS property and has an initial cost of $64,200. The MACRS percentages are: 20,
32, 19.2, 11.52, 11.52, and 5.76 percent for years 1 to 6, respectively. What is the book value at the end
of year 4?
$11,093.76.
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Reason: Book value4 = $64,200 × (1 - 0.2 - 0.32 - 0.192 - 0.1152) = $11,093.76
What typifies a cost-cutting project?
No revenue is generated by the project.
A firm has an existing asset with a book value of $6,600 and annual depreciation of $2,200. Assume this
asset is replaced with a new asset costing $15,400. The new asset will be depreciated straight-line over
its 5-year life. What is the incremental depreciation for year 2?
$880.
Reason: Depreciation2 = ($15,400/5) - $2,200 = $880
Which of these are cash flows that apply to a replacement problem? Select all that apply.
Cost of new asset
ATCF of an existing asset at its normal life-end
Depreciation lost if existing asset is sold
New equipment was purchased for a project at a total cost of $210,000 and was depreciated straight-line
over five years. The equipment was sold at the end of three years for $68,000. How is the ATCF
computed using a tax rate of 34 percent?
Book value = $210,000 - (3/5 × $210,000); ATCF = Book value + ($68,000 - Book value)(1 - 0.34)
According to the time value of money, what increases if an asset it depreciated as quickly as possible?
Present Value of the Income Tax Shield
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A cost-cutting project is least apt to affect which one of these?
Revenue
A firm has an existing asset with a book value of $6,600 and annual depreciation of $2,200. Assume this
asset is replaced with a new asset costing $15,400. The new asset will be depreciated straight-line over
its 5-year life. What is the incremental depreciation for year 4?
$3,080.
Reason: The existing asset will be fully depreciated in year 3 so there is no foregone depreciation in year
4.
Depreciation4 = $15,400/5 = $3,080
How can a replacement problem be defined?
Buying a new asset which will be used in place of an existing asset that is still usable
A new machine will cost $820,000 and will replace an existing machine. The new machine will reduce
variable costs by $170,000 per year. The incremental depreciation is $38,000 and the tax rate is 34
percent. What is the year 2 OCF?
$125,120.
Reason: EBIT = $170,000 - $38,000 = $132,000; OCF = $132,000(1 - 0.34) + $38,000 = $125,120
An asset with a remaining book value of $138 is sold for $96. How is the after-tax cash flow (ATCF)
computed if the tax rate is 35 percent?
ATCF = $138 + ($96 - $138)(1 - 0.35)
Assume a firm has a tax rate of 34 percent which remains stable from year to year. Which type of
depreciation should the firm use when computing its taxes?
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MACRS with half-year convention
Which of these conditions generally occur in situations where equivalent annual cost (EAC) applies as the
method of decision making? Select all that apply.
Both assets may produce the same level of sales.
Two assets can be used for the same purpose
What typifies a cost-cutting project?
No revenue is generated by the project.
In essence, the EAC process makes a decision based on which one of these?
Perpetuity payment amount
A firm has an existing asset with a book value of $6,600 and annual depreciation of $2,200. Assume this
asset is replaced with a new asset costing $15,400. The new asset will be depreciated straight-line over
its 5-year life. What is the incremental depreciation for year 2?
$880.
Reason: Depreciation2 = ($15,400/5) - $2,200 = $880
What is the second step of the EAC process?
Find the annuity payment that has the same present value as the sum of the present values of a project's
cash flows
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A machine costing $79,000 will replace an old machine and lower annual variable costs by $15,500 over
its 5-year life. The new machine will be depreciated using MACRS with rates of 33.33, 44.45, 14.81, and
7.41 percent for years 1 to 4, respectively. The old machine has a current book value of $39,600 and
depreciation of $13,200. What is the incremental depreciation for year 3?
-$1,500.10.
Reason: Incremental depreciation3 = ($79,000 × 0.1481) - $13,200 = -$1,500.10
New equipment was purchased for a project at a total cost of $210,000 and was depreciated straight-line
over five years. The equipment was sold at the end of three years for $68,000. How is the ATCF
computed using a tax rate of 34 percent?
Book value = $210,000 - (3/5 × $210,000); ATCF = Book value + ($68,000 - Book value)(1 - 0.34)
An asset has a 4-year life and a sum of present values (NPV) of cash flows of -$46,900. The discount rate
is 12 percent. How is the equivalent annuity payment, or EAC, computed?
N = 4, I = 12, PV = 46,900, FV = 0, CPT PMT
Which one of these is a key assumption in situations where EAC is used as the decision method?
Whenever the chosen asset wears out, it will be replaced with an identical asset.
Which question is the basis for determining which one of a set of alternative assets with differing lives is
preferable?
Which asset will produce the least negative EAC?
What is the first step in the EAC process?
Find the sum of the present values of the cash flows for one iteration of each project
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A machine costs $112,000, has a 2-year life and annual after-tax net expenses of $31,400. What is the
EAC at rate of 14 percent?
-$99,416.45.
Reason: NPV = -$112,000 - $31,400/1.14 - $31,400/1.142 = -$163,705.14; N = 2, I = 14, PV = 163,705.14,
FV = 0, CPT PMT; PMT = -99,416.45
A new machine will cost $820,000 and will replace an existing machine. The new machine will reduce
variable costs by $170,000 per year. The incremental depreciation is $38,000 and the tax rate is 34
percent. What is the year 2 OCF?
$125,120.
Reason: EBIT = $170,000 - $38,000 = $132,000; OCF = $132,000(1 - 0.34) + $38,000 = $125,120
A machine has an initial cost of $32,000 and annual after-tax net expenses of $2,600. The life of the
machine is three years, after which the machine will be worthless. The discount rate is 13 percent. How
is the sum of the present values (NPV) of the machine's cash flows calculated?
NPV = -$32,000 - $2,600/1.13 - $2,600/1.132 - $2,600/1.133
Which of these conditions generally occur in situations where equivalent annual cost (EAC) applies as the
method of decision making? Select all that apply.
Two assets can be used for the same purpose
Both assets may produce the same level of sales.
In essence, the EAC process makes a decision based on which one of these?
Perpetuity payment amount
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A new asset costs $47,000, has a 3-year life, and annual after-tax net expenses of $3,700. What is the
EAC at a discount rate of 11 percent?
-$22,933.01.
Reason: NPV = -$47,000 - $3,700/1.11 - $3,700/1.112 - $3,700/1.113 = -$56,041.74; N = 3, I = 11, PV =
56,041.74, FV = 0, CPT PMT; PMT = -22,933.01
A machine costing $79,000 will replace an old machine and lower annual variable costs by $15,500 over
its 5-year life. The new machine will be depreciated using MACRS with rates of 33.33, 44.45, 14.81, and
7.41 percent for years 1 to 4, respectively. The old machine has a current book value of $39,600 and
depreciation of $13,200. What is the incremental depreciation for year 3?
-$1,500.10
Reason: Incremental depreciation3 = ($79,000 × 0.1481) - $13,200 = -$1,500.10
You are comparing Machine A with a 3-year life and an EAC of -$21,407 and Machine B with a 4-year life
and an EAC of -$22,013, Which machine, if either, should be accepted according to the EAC decision
criteria?
Accept Machine A
An asset has a 4-year life and a sum of present values (NPV) of cash flows of -$46,900. The discount rate
is 12 percent. How is the equivalent annuity payment, or EAC, computed?
N = 4, I = 12, PV = 46,900, FV = 0, CPT PMT
Assume the initial costs of a project, CF0, are $38,000 and the weighted average flotation cost, fA, is 6.7
percent. How is the flotation-adjusted CF0 computed?
$38,000/(1 - 0.067)
Reason: Adjusted CF0 = $38,000/(1 - 0.067)
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Which one of these is a key assumption in situations where EAC is used as the decision method?
Whenever the chosen asset wears out, it will be replaced with an identical asset.
A firm has a target capital structure of 60 percent equity and 40 percent debt. The flotation cost of
equity is 13 percent while it is 9 percent for debt. The initial cost of a project is $468,000. What is the
flotation-adjusted cash flow for time zero?
$528,217.
Reason: fA = (0.6 × 0.13) + (0.4 × 0.09) = 0.114
Adjusted CF0 = $468,000/(1 - 0.114) = $528,217
Which question is the basis for determining which one of a set of alternative assets with differing lives is
preferable?
Which asset will produce the least negative EAC?
How is free cash flow defined?
Cash flow available for distribution to a firm's investors
A machine costs $112,000, has a 2-year life and annual after-tax net expenses of $31,400. What is the
EAC at rate of 14 percent?
-$99,416.45.
Reason: NPV = -$112,000 - $31,400/1.14 - $31,400/1.142 = -$163,705.14; N = 2, I = 14, PV = 163,705.14,
FV = 0, CPT PMT; PMT = -99,416.45
You are comparing Machine A with a 7-year life and an EAC of -$20,050 and Machine B with a 2-year life
and an EAC of -$22,000. Which machine, if either, should be accepted according to the EAC decision
criteria?
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Accept Machine A
Why are a firm's target capital structure values used in computing the average flotation cost?
The firm will issue securities in these percentages over the long term.
A firm has a target capital structure of 50 percent equity, 10 percent preferred, and 40 percent debt.
Their respective flotation costs are 12 percent, 10 percent, and 7 percent. What is the weighted average
flotation cost?
9.80 percent.
Reason: fA = (0.5 × 0.12) + (0.1 × 0.10) + (0.4 × 0.07) = 0.0980 = 9.80%
Which of these correctly define free cash flow?
FCF = [EBIT(1 - Tax rate) + Depreciation] - [Change in gross fixed assets + Change in net operating working
capital]
FCF = OCF - Investment in operating capital
A new asset costs $47,000, has a 3-year life, and annual after-tax net expenses of $3,700. What is the
EAC at a discount rate of 11 percent?
-$22,933.01.
Reason: NPV = -$47,000 - $3,700/1.11 - $3,700/1.112 - $3,700/1.113 = -$56,041.74; N = 3, I = 11, PV =
56,041.74, FV = 0, CPT PMT; PMT = -22,933.01
You are comparing Machine A with a 3-year life and an EAC of -$21,407 and Machine B with a 4-year life
and an EAC of -$22,013, Which machine, if either, should be accepted according to the EAC decision
criteria?
Accept machine A
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What is the first step in the process of adjusting the initial investment for flotation costs?
Compute the weighted average flotation cost using the target capital weights
A firm has a target capital structure of 60 percent equity and 40 percent debt. The flotation cost of
equity is 13 percent while it is 9 percent for debt. The initial cost of a project is $468,000. What is the
flotation-adjusted cash flow for time zero?
$528,217.
Reason: fA = (0.6 × 0.13) + (0.4 × 0.09) = 0.114
Adjusted CF0 = $468,000/(1 - 0.114) = $528,217
How is free cash flow defined?
Cash flow available for distribution to a firm's investors
Assume the initial costs of a project, CF0, are $38,000 and the weighted average flotation cost, fA, is 6.7
percent. How is the flotation-adjusted CF0 computed?
$38,000/(1 - 0.067)
Reason: Adjusted CF0 = $38,000/(1 - 0.067)
A firm has a target capital structure of 50 percent equity, 10 percent preferred, and 40 percent debt.
Their respective flotation costs are 12 percent, 10 percent, and 7 percent. What is the weighted average
flotation cost?
9.80 percent.
Reason: fA = (0.5 × 0.12) + (0.1 × 0.10) + (0.4 × 0.07) = 0.0980 = 9.80%
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True or false: Net working capital is a measure of a firm's ability to pay its bills within a year.
True
What is pro forma analysis?
Estimation of future project cash flows using only the relevant parts of the financial statements
What is an incremental cash flow?
A cash flow that either increases or decreases when a new project is implemented
Which one of these represents an opportunity cost?
Assigning a current employee to a new project
Should opportunity costs be included in or excluded from project analysis? Why?
Included; The firm must forego using the resource in any other way, thereby incurring a cost.
What is the definition of net working capital?
Net working capital is the difference between a firm's current assets and current liabilities.
What is a sunk cost?
A previously incurred cost that cannot be recovered
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In pro forma analysis, what determines whether or not an account on the balance sheet or income
statement is relevant to a project?
If the project causes an account value to change, then it is relevant.
How can you determine if a cash flow is incremental to a project? Select all that apply.
The cash flow will disappear when the project ceases.
The cash flow occurs only if a new project is implemented.
The cash flow changes only when a new project is implemented.
Which of these represent opportunity costs? Select all that apply.
Using a piece of company equipment that has been sitting idle for two years in a new project.
Building a new building on a vacant lot owned by the firm.
Using a current employee who is about to be laid off to run a project on a day by day basis.
Opportunity costs are costs incurred when resources owned or employed by a firm have which one
these characteristics?
Multiple uses
How can a sunk cost be recovered?
Sunk costs cannot be recovered.
What is pro forma analysis?
Estimation of future project cash flows using only the relevant parts of the financial statements
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Why are sunk costs excluded from project analysis?
The costs have been incurred and cannot be recouped with or without the project.
What is an incremental cash flow?
A cash flow that either increases or decreases when a new project is implemented
Leo's currently sells $5,000 of wood toys and $2,000 of metal toys. Leo's wants to begin selling plastic
toys. If it does, the expected sales are $7,500 of wood toys, $2,500 of metal toys, and $3,500 of plastic
toys. What is the value of the complementary effect of the plastic toys?
$3,000.
Reason: Complementary effect = ($7,500 - $5,000) + ($2,500 - $2,000) = $3,000
Which one of these represents an opportunity cost?
Assigning a current employee to a new project
Which of these is the best description of the substitution effect?
Any decrease in the level of sales, costs, or necessary assets of a firm's current operations that is caused
by the implementation of a new project.
Reason: This answer defines a complementary effect. Substitute effects are decreases in current sales or
costs caused by a new project.
Should opportunity costs be included in or excluded from project analysis? Why?
Included; The firm must forego using the resource in any other way, thereby incurring a cost.
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What is a sunk cost?
A previously incurred cost that cannot be recovered.
Which of these illustrates a complementary effect? Select all that apply.
A new product increases the sales of one of the firm's existing products.
A new product increases traffic flow thereby increasing the revenue generated by a firm's existing
products.
Mike's Garage spent $1,000 last week to repair its parking lot. No matter what Mike does, he cannot
recoup this expense for his business. What type of cost is this?
Sunk cost
What is a financing cost?
Interest and dividends paid as a result of external financing
Krista's Place sells $15,000 of art work and $12,000 of craft supplies. If Krista's add home accessories, the
projected sales become $12,000 of art work, $9,000 of craft supplies, and $13,000 of home accessories.
What is the substitution effect of the home accessories?
-$6,000.
Reason: Substitution effect = ($12,000 -$15,000) + ($9,000 - $12,000) = -$6,000
How is a complementary effect defined?
Any increase in the current level of sales, costs, or necessary assets of a firm's existing operations caused
by a new project
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What is an opportunity cost?
The value of the next best alternative use of a resource owned or employed by a firm
Which one of these is an example of the substitution effect?
Current employee costs are lowered due to the automation processes implemented by a new project
Which of these are financing costs? Select all that apply.
Bond interest
Stock dividend
Leo's currently sells $5,000 of wood toys and $2,000 of metal toys. Leo's wants to begin selling plastic
toys. If it does, the expected sales are $7,500 of wood toys, $2,500 of metal toys, and $3,500 of plastic
toys. What is the value of the complementary effect of the plastic toys?
$3,000.
Reason: Complementary effect = ($7,500 - $5,000) + ($2,500 - $2,000) = $3,000
Which of these is the best description of the substitution effect?
Any decrease in the level of sales, costs, or necessary assets of a firm's current operations that is caused
by the implementation of a new project
Opportunity costs are costs incurred when resources owned or employed by a firm have which one
these characteristics?
Multiple uses
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How is bond interest included in the analysis of a new project?
Bond interest is included in the computation of a bond's yield to maturity, which is the pretax cost of
debt used to compute a project's WACC
Which of these illustrates a complementary effect? Select all that apply.
A new product increases the sales of one of the firm's existing products.
A new product increases traffic flow thereby increasing the revenue generated by a firm's existing
products.
Why are financing costs excluded from project cash flows?
Financing costs are included in the required return used to discount project cash flows.
What is a financing cost?
Interest and dividends paid as a result of external financing
What are the key differences between the free cash flows of a firm and those of a project? Select all that
apply.
Firm free cash flows are actual values while project free cash flows are estimates.
Krista's Place sells $15,000 of art work and $12,000 of craft supplies. If Krista's add home accessories, the
projected sales become $12,000 of art work, $9,000 of craft supplies, and $13,000 of home accessories.
What is the substitution effect of the home accessories?
-$6,000.
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Reason: Substitution effect = ($12,000 -$15,000) + ($9,000 - $12,000) = -$6,000
What types of costs are included in an asset's depreciable basis? Select all that apply.
Installation and testing costs
Sales tax and freight charges
Purchase price of the asset
How is a complementary effect defined?
Any increase in the current level of sales, costs, or necessary assets of a firm's existing operations caused
by a new project
Which one of these computes the amount of annual depreciation using the straight-line method? Ignore
the half-year convention.
(Depreciable basis - Ending book value)/Life of asset
How are the dividends paid on stock included in the analysis of a new project?
Financing costs, such as dividends, are considered in the component costs of capital when a project's
WACC is calculated.
True or false: Since financing costs are included in project WACC, which are used to discount project cash
flows, we need to count them as expenses on the project
False
Free cash flows for which one of the following are affected by estimation error?
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Project free cash flows only
McGinty's purchased a new machine for $318,000, paid $19,000 in sales tax, and $7,500 in delivery
charges. The firm paid $3,400 to have the machine calibrated once it was set in place. The machine
requires $5,600 of annual maintenance. What is the depreciable basis of the machine?
Multiple choice question.
$347,900.
Reason: Depreciable basis = $318,000 + $19,000 + $7,500 + $3,400 = $347,900
A new asset costs $28,000 including all sales taxes and other installation costs. The asset is to be
depreciated to an ending book value of $5,000 over the asset's 5-year life. The asset is expected to be
sold for $7,800 at the end of the five years. How is the annual depreciation computed?
($28,000 - $5,000)/5
How can straight-line depreciation be defined? Ignore the half-year convention.
Total amount to be depreciated spread evenly over an asset's life
How is bond interest included in the analysis of a new project?
Bond interest is included in the computation of a bond's yield to maturity, which is the pretax cost of
debt used to compute a project's WACC
Why are financing costs excluded from project cash flows?
Financing costs are included in the required return used to discount project cash flows.
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What are the key differences between the free cash flows of a firm and those of a project? Select all that
apply.
Firm free cash flows are actual values while project free cash flows are estimates.
A firm purchased a new machine costing $28,000 including sales tax. It also paid $2,000 for delivery and
installation. The machine has a life of 6 years and an expected ending book value of $5,000. How is the
depreciation computed using the straight-line method? Ignore the half-year convention.
($28,000 + $2,000 - $5,000)/6
Which one of these computes the amount of annual depreciation using the straight-line method? Ignore
the half-year convention.
(Depreciable basis - Ending book value)/Life of asset
The Foster House purchased a machine costing $10,000 and paid $600 in sales tax. Shipping and
installation cost $1,400. The machine has a 5-year life after which it should have a book value of $5,000
and a market value of $4,000. What is the annual, straight-line depreciation, ignoring the half year
convention?
$1,400.
Reason: Depreciation = ($10,000 + $600 + $1,400 - $5,000)/5 = $1,400
True or false: Since financing costs are included in project WACC, which are used to discount project cash
flows, we need to count them as expenses on the project
False
Free cash flows for which one of the following are affected by estimation error?
Project free cash flows only.
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Reason: Project free cash flows are affected by estimation errors because the cash flows are estimates.
Firm free cash flows are actual values.
A new asset costs $28,000 including all sales taxes and other installation costs. The asset is to be
depreciated to an ending book value of $5,000 over the asset's 5-year life. The asset is expected to be
sold for $7,800 at the end of the five years. How is the annual depreciation computed?
($28,000 - $5,000)/5
How can straight-line depreciation be defined? Ignore the half-year convention.
Total amount to be depreciated spread evenly over an asset's life.
Reason: Depreciation = (Depreciable basis - Ending book value)/Life of asset
The values for the first year of a project are: Expected sales of 280 units, a selling price of $46, fixed costs
of $3,100, depreciation of $1,100, variable cost per unit of $28, and a tax rate of 35 percent. What is the
OCF?
$1,646.
Reason: OCF = {[280($46 - $28)] - $3,100 - $1,100}(1 - 0.35) + $1,100 = $1,646
Ty's purchased a machine costing $11,000 and paid $660 in sales tax. Shipping and installation cost
$1,500. The machine has a 3-year life after which it should have a book value of $3,500 and a market
value of $5,000. What is the annual, straight-line depreciation, ignoring the half year convention?
$3,220.
Reason: Depreciation = ($11,000 + $660 + $1,500 - $3,500)/3 = $3,220
Why are financing costs excluded from project cash flows?
Financing costs are included in the required return used to discount project cash flows.
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Suppose a project has an EBIT of -$1,500. If the tax rate is 21%, what are the computed taxes?
Negative $315
What are the key differences between the free cash flows of a firm and those of a project? Select all that
apply.
Firm free cash flows are actual values while project free cash flows are estimates.
A firm purchased a new machine costing $28,000 including sales tax. It also paid $2,000 for delivery and
installation. The machine has a life of 6 years and an expected ending book value of $5,000. How is the
depreciation computed using the straight-line method? Ignore the half-year convention.
($28,000 + $2,000 - $5,000)/6
Values for the first year of a project are projected as: Sales = $1,800, Depreciation = $300, Fixed costs =
$450, Variable costs = $620, Tax rate = 34 percent. What is the OCF?
$583.80.
Reason: OCF = ($1,800 - $620 - $450 - $300)(1 - 0.34) + $300 = $583.80
Manor's purchases some equipment in preparation for a new project. Which of these are time zero cash
flows for that project? Select all that apply.
Shipping costs to have the equipment delivered
Installation and initial testing costs
Purchase price of the equipment
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How are taxes computed when a project's EBIT is negative?
The tax rate is multiplied by EBIT producing a tax credit.
Free cash flows for which one of the following are affected by estimation error?
Project free cash flows only
What types of activities related to a project's fixed assets can create a cash flow for the final year of a
project? Select all that apply.
Trading in the project's equipment on new equipment for other projects.
Scrapping equipment that has a positive book value but no market value.
Selling the project's equipment.
A new asset costs $28,000 including all sales taxes and other installation costs. The asset is to be
depreciated to an ending book value of $5,000 over the asset's 5-year life. The asset is expected to be
sold for $7,800 at the end of the five years. How is the annual depreciation computed?
($28,000 - $5,000)/5
The values for the first year of a project are: Expected sales of 280 units, a selling price of $46, fixed costs
of $3,100, depreciation of $1,100, variable cost per unit of $28, and a tax rate of 35 percent. What is the
OCF?
$1,646.
Reason: OCF = {[280($46 - $28)] - $3,100 - $1,100}(1 - 0.35) + $1,100 = $1,646
How is the gain or loss on a sale of equipment determined?
Market value - Book value
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Which one of these represents a time zero project cash flow?
Purchase of new equipment to start a project
Suppose a project has an EBIT of -$1,500. If the tax rate is 21%, what are the computed taxes?
Negative $315
In 4 years, an existing machine will have a zero book value and a market value of $4,200. A new machine
costing $26,400 can replace this machine, lower variable costs by $8,200 a year, and have a market value
of $13,300 and a zero book value in 4 years. The incremental depreciation is $5,300. The tax rate is 35%.
What is the operating cash flow for year 4?
$7,185.
Reason: OCF = ($8,200 - $5,300)(1 - 0.35) + $5,300 = $7,185
What two conditions must exist for equipment to have no effect on a project's final cash flows? Select
two. Assume there are no disposal costs.
Zero market value
Zero book value
A firm purchased a new machine costing $28,000 including sales tax. It also paid $2,000 for delivery and
installation. The machine has a life of 6 years and an expected ending book value of $5,000. How is the
depreciation computed using the straight-line method? Ignore the half-year convention.
($28,000 + $2,000 - $5,000)/6
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A firm purchased equipment at a total cost of $287,000, which was depreciated straight-line over seven
years. After five years, the equipment was sold for $98,900. What is the ATCF at a tax rate of 34 percent?
$93,154.
Reason: Book value = $287,000 - (5/7 × $287,000) = $82,000; ATCF = $82,000 + ($98,900 - $82,000)(1 -
0.34) = $93,154
Which one of these explains the after-tax cash flow formula for the sale of an asset?
The cash flow equals the book value plus the after-tax value of any gain or loss on the sale.
Manor's purchases some equipment in preparation for a new project. Which of these are time zero cash
flows for that project? Select all that apply.
Purchase price of the equipment
Installation and initial testing costs
Shipping costs to have the equipment delivered
In four years, an existing machine will have a zero book value and a market value of $4,200. A new
machine costing $26,400 can replace this machine, lower variable costs by $8,200 a year, and have a
market value of $13,300 and a zero book value in 4 years. The incremental depreciation is $5,300. The
tax rate is 35 percent. What is the free cash flow for year 4?
$13,100.
Reason: OCF = ($8,200 - $5,300)(1 - 0.35) + $5,300 = $7,185; FCF = $7,185 + $13,300(1 - 0.35) - $4,200(1 -
0.35) = $13,100
What types of activities related to a project's fixed assets can create a cash flow for the final year of a
project? Select all that apply.
Scrapping equipment that has a positive book value but no market value
Trading in the project's equipment on new equipment for other projects
Selling the project's equipment
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A project has a 3-year life and annual sales projections of $120,000, $160,000 and $190,000 for years 1
to 3, respectively. The project requires net working capital (NWC) equal to 5 percent of the next year's
sales. How is this requirement handled in project analysis? Select all that apply.
A cash inflow of (0.05 × $190,000) occurs in year 3.
A cash outflow of [0.05 × ($160,000 - $120,000)] is recorded in year 1.
A cash outflow of (0.05 × $120,000) is recorded at time zero.
A firm purchased equipment at a total cost of $300,000, which was depreciated straight-line over six
years. After six years, the equipment was sold for $100,000. What is the ATCF at a tax rate of 21%?
$79,000.
Reason: Book value = $300,000 - (6/6 × $300,000) = $0; ATCF = $0 + ($100,000 - $0)(1 - 0.21) = $79,000
How is the gain or loss on a sale of equipment determined?
Market value - Book value
A project requires $21,000 of net working capital (NWC) over its 4-year life. Which one of these is
correct?
There is no cash flow for NWC in years 1 to 3.
Which one of these represents a time zero project cash flow?
Purchase of new equipment to start a project
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A new project requires $24,000 of equipment which will be depreciated straight-line to zero over the
project's 4-year life. The project requires $2,400 of NWC, the annual OCF is $16,000, and the tax rate is
35 percent. The equipment's market value at the end of year 4 is $5,000. What cash flows occur in year
4? Select all that apply.
$5,000 × (1 - 0.35)
$2,400
In 4 years, an existing machine will have a zero book value and a market value of $4,200. A new machine
costing $26,400 can replace this machine, lower variable costs by $8,200 a year, and have a market value
of $13,300 and a zero book value in 4 years. The incremental depreciation is $5,300. The tax rate is 35%.
What is the operating cash flow for year 4?
$7,185.
Reason: OCF = ($8,200 - $5,300)(1 - 0.35) + $5,300 = $7,185
If you add all the cash flows related to net working capital (NWC) over a project's life, what sum must
you obtain if your cash flows are correct?
Zero.
Reason: Over the life of a project, the NWC cash flows must sum to zero as NWC is returned to its pre-
project level when a project ends.
A firm purchased equipment at a total cost of $287,000, which was depreciated straight-line over seven
years. After five years, the equipment was sold for $98,900. What is the ATCF at a tax rate of 34 percent?
$93,154.
Reason: Book value = $287,000 - (5/7 × $287,000) = $82,000; ATCF = $82,000 + ($98,900 - $82,000)(1 -
0.34) = $93,154
A project has projected annual sales of $96,000, $112,000 and $136,000 for years 1 to 3, respectively.
The project requires net working capital (NWC) equal to 6 percent of the following year's sales. Which of
these are correct cash flows for this project?
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Cash outflow of $1,440 in year 2.
Reason: Year 2 cash outflow = 0.06 × ($136,000 - $112,000) = $1,440
A project has a 3-year life and requires equipment costing $34,000. The OCF is estimated at $16,000
annually. NWC of $3,500 is required over the project's life. What cash flows occur at time zero? Select all
that apply.
-$34,000
-$3,500
In four years, an existing machine will have a zero book value and a market value of $4,200. A new
machine costing $26,400 can replace this machine, lower variable costs by $8,200 a year, and have a
market value of $13,300 and a zero book value in 4 years. The incremental depreciation is $5,300. The
tax rate is 35 percent. What is the free cash flow for year 4?
$13,100.
Reason: OCF = ($8,200 - $5,300)(1 - 0.35) + $5,300 = $7,185; FCF = $7,185 + $13,300(1 - 0.35) - $4,200(1 -
0.35) = $13,100
A project requires $15,000 of net working capital throughout its 5-year life. How is this requirement
handled in project analysis? Select all that apply.
$15,000 is a cash inflow in year 5.
$15,000 is a cash outflow at time zero.
A firm purchased equipment at a total cost of $300,000, which was depreciated straight-line over six
years. After six years, the equipment was sold for $100,000. What is the ATCF at a tax rate of 21%?
$79,000.
Reason: Book value = $300,000 - (6/6 × $300,000) = $0; ATCF = $0 + ($100,000 - $0)(1 - 0.21) = $79,000
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A project has a 2-year life, net income of $14,500 a year, and a tax rate of 34 percent. The project
requires $6,000 of equipment which will be depreciated straight-line over 3 years, and have a market
value of $2,500 at the end of year 2. The NWC requirement is $1,500. What is the total cash flow for year
2?
$20,330.
Reason: OCF = $14,500 + ($6,000/3) = $16,500; Book value at the end of year 2 = $6,000/3 = $2,000;
ATCF = $2,000 + ($2,500 - $2,000)(1 - 0.34) = $2,330; Year 2 cash flow = $16,500 + $1,500 + $2,330 =
$20,330
A project requires $21,000 of net working capital (NWC) over its 4-year life. Which one of these is
correct?
There is no cash flow for NWC in years 1 to 3.
A new project requires $24,000 of equipment which will be depreciated straight-line to zero over the
project's 4-year life. The project requires $2,400 of NWC, the annual OCF is $16,000, and the tax rate is
35 percent. The equipment's market value at the end of year 4 is $5,000. What cash flows occur in year
4? Select all that apply.
$5,000 × (1 - 0.35)
$2,400
In 4 years, an existing machine will have a zero book value and a market value of $4,200. A new machine
costing $26,400 can replace this machine, lower variable costs by $8,200 a year, and have a market value
of $13,300 and a zero book value in 4 years. The incremental depreciation is $5,300. The tax rate is 35%.
What is the operating cash flow for year 4?
$7,185.
Reason: OCF = ($8,200 - $5,300)(1 - 0.35) + $5,300 = $7,185
If you add all the cash flows related to net working capital (NWC) over a project's life, what sum must
you obtain if your cash flows are correct?
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Zero
The half-year convention is based on which of these assumptions?
All assets placed in service during a given period were placed in service at the mid-point of the period
A project has a 3-year life, net income of $10,000 a year, and a tax rate of 21%. The project requires
$9,000 of equipment which will be depreciated straight-line over 3 years, and have a market value of
$3,000 at the end of year 3. The NWC requirement is $1,500 which is returned at the end of year 3.
What is the total cash flow for year 3?
$16,871.
Reason: OCF = $10,000 + ($9,000/3) = $13,000; Book value at the end of year 3 = $0 ATCF = $0 + ($3,000
- $0)(1 - 0.21) = $2,371 Year 2 cash flow = $13,000 + $1,500 + $2,371 = $16,871
A project has projected annual sales of $96,000, $112,000 and $136,000 for years 1 to 3, respectively.
The project requires net working capital (NWC) equal to 6 percent of the following year's sales. Which of
these are correct cash flows for this project?
Cash outflow of $1,440 in year 2.
Reason: Year 2 cash outflow = 0.06 × ($136,000 - $112,000) = $1,440
An asset has a 3-year life and a depreciable basis of $16,400. What is the depreciation in year 4 given
straight-line depreciation with half-year convention. The depreciation table percentages are 16.67,
33.33, 33.33, and 16.67 percent for years 1 to 4, respectively.
$2,733.88.
Reason: Depreciation Year 4 = 0.1667 × $16,400 = $2,733.88
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A project has a 3-year life and requires equipment costing $34,000. The OCF is estimated at $16,000
annually. NWC of $3,500 is required over the project's life. What cash flows occur at time zero? Select all
that apply.
-$34,000
-$3,500
What is the double-declining balance (DDB) method of depreciation?
The depreciation rate is 200 percent of the straight-line rate with the rate applied to the current book
value.
In four years, an existing machine will have a zero book value and a market value of $4,200. A new
machine costing $26,400 can replace this machine, lower variable costs by $8,200 a year, and have a
market value of $13,300 and a zero book value in 4 years. The incremental depreciation is $5,300. The
tax rate is 35 percent. What is the free cash flow for year 4?
$13,100.
Reason: OCF = ($8,200 - $5,300)(1 - 0.35) + $5,300 = $7,185; FCF = $7,185 + $13,300(1 - 0.35) - $4,200(1 -
0.35) = $13,100
Which one of these is a feature of MACRS depreciation?
Depreciation commences with an accelerated method and later switches to a straight-line method.
Over how many tax years will a 3-year asset be depreciated given the half-year convention?
4 years
A project has a 2-year life, net income of $14,500 a year, and a tax rate of 34 percent. The project
requires $6,000 of equipment which will be depreciated straight-line over 3 years, and have a market
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value of $2,500 at the end of year 2. The NWC requirement is $1,500. What is the total cash flow for year
2?
$20,330.
Reason: OCF = $14,500 + ($6,000/3) = $16,500; Book value at the end of year 2 = $6,000/3 = $2,000;
ATCF = $2,000 + ($2,500 - $2,000)(1 - 0.34) = $2,330; Year 2 cash flow = $16,500 + $1,500 + $2,330 =
$20,330
An asset has an initial cost of $43,000 and is classified as 3- year MACRS property. The MACRS
percentages are 33.33, 44.45, 14.81, and 7.41 percent for years 1 through 4, respectively. What is the
depreciation for year 3?
$6,368.30.
Reason: Depreciation Year 3 = 0.1481 × $43,000 = $6,368.30
An asset has a 4-year life and a depreciable basis of $12,000. What is the first year's depreciation given
the straight-line method with half-year convention? The depreciation table percentages are 12.5, 25, 25,
25, and 12.5 for years 1 through 5, respectively.
$1,500.
Reason: Depreciation Year 1 = 0.125 × $12,000 = $1,500
What does accelerated depreciation indicate?
Depreciation in the first half of an asset's life is greater.
Why would a firm prefer to use MACRS rather than straight-line depreciation for tax purposes?
The tax deduction from depreciation is greater in the early years.
The half-year convention is based on which of these assumptions?
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All assets placed in service during a given period were placed in service at the mid-point of the period.
How do Section 179 deductions aid small businesses?
Section 179 allows eligible property, up to stated limits, to be fully expensed in the year of purchase.
An asset cost $52,000, has a 5-year MACRS life, and a current book value of $41,600. The MACRS
percentages for years 1 to 6 are 20, 32, 19.2, 11.52, 11.52, and 5.76 percent, respectively. What is the
depreciation for year 2?
$16,640.
Reason: Depreciation Year 2 = 0.32 × $52,000 = $16,640
An asset has a 3-year life and a depreciable basis of $16,400. What is the depreciation in year 4 given
straight-line depreciation with half-year convention. The depreciation table percentages are 16.67,
33.33, 33.33, and 16.67 percent for years 1 to 4, respectively.
$2,733.88.
Reason: Depreciation Year 4 = 0.1667 × $16,400 = $2,733.88
Which of these are properties eligible for a Section 179 deduction? Select all that apply.
Machinery purchased by a firm
Most storage facilities built by a firm
What is the double-declining balance (DDB) method of depreciation?
The depreciation rate is 200 percent of the straight-line rate with the rate applied to the current book
value.
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An asset is 5-year MACRS property and has an initial cost of $64,200. The MACRS percentages are: 20,
32, 19.2, 11.52, 11.52, and 5.76 percent for years 1 to 6, respectively. What is the book value at the end
of year 4?
$11,093.76.
Reason: Book value4 = $64,200 × (1 - 0.2 - 0.32 - 0.192 - 0.1152) = $11,093.76
Which of these correctly apply to MACRS depreciation? Select all that apply.
All of the MACRS percentages found in the IRS tables are applied to an asset's initial depreciable basis.
MACRS uses DDB for 3- to 10-year property and then switches to SL when SL produces a higher
depreciation value.
MACRS tables are provided by the IRS.
Which one of these represents a limit placed on Section 179 deductions?
Taxable income from the active conduct of the firm
An asset has an initial cost of $43,000 and is classified as 3- year MACRS property. The MACRS
percentages are 33.33, 44.45, 14.81, and 7.41 percent for years 1 through 4, respectively. What is the
depreciation for year 3?
$6,368.30.
Reason: Depreciation Year 3 = 0.1481 × $43,000 = $6,368.30
Which one of these is property eligible for a Section 179 deduction?
A cow barn that you build on your farm
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According to the time value of money, what increases if an asset it depreciated as quickly as possible?
Present Value of the Income Tax Shield
An asset has a depreciable basis of $13,200 and qualifies as 3-year MACRS property. The MACRS
percentages are: 16.67, 33.33, 33.33. and 16.67 percent for years 1 to 4, respectively. What is the year 3
ending book value?
$2,200.44.
Reason: Book value3 = $13,200 × (1 - 0.1667 - 0.3333 - 0.3333) = $2,200.44
Which one of these is a feature of MACRS depreciation?
Depreciation commences with an accelerated method and later switches to a straight-line method.
A firm has an existing asset with a book value of $6,600 and annual depreciation of $2,200. Assume this
asset is replaced with a new asset costing $15,400. The new asset will be depreciated straight-line over
its 5-year life. What is the incremental depreciation for year 4?
$3,080.
Reason: The existing asset will be fully depreciated in year 3 so there is no foregone depreciation in year
4.
Depreciation4 = $15,400/5 = $3,080
How do Section 179 deductions aid small businesses?
Section 179 allows eligible property, up to stated limits, to be fully expensed in the year of purchase.
How can a replacement problem be defined?
Buying a new asset which will be used in place of an existing asset that is still usable
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An asset cost $52,000, has a 5-year MACRS life, and a current book value of $41,600. The MACRS
percentages for years 1 to 6 are 20, 32, 19.2, 11.52, 11.52, and 5.76 percent, respectively. What is the
depreciation for year 2?
$16,640.
Reason: Depreciation Year 2 = 0.32 × $52,000 = $16,640
An asset with a remaining book value of $138 is sold for $96. How is the after-tax cash flow (ATCF)
computed if the tax rate is 35 percent?
ATCF = $138 + ($96 - $138)(1 - 0.35)
Assume a firm has a tax rate of 34 percent which remains stable from year to year. Which type of
depreciation should the firm use when computing its taxes?
MACRS with half-year convention
An asset is 5-year MACRS property and has an initial cost of $64,200. The MACRS percentages are: 20,
32, 19.2, 11.52, 11.52, and 5.76 percent for years 1 to 6, respectively. What is the book value at the end
of year 4?
$11,093.76.
Reason: Book value4 = $64,200 × (1 - 0.2 - 0.32 - 0.192 - 0.1152) = $11,093.76
What typifies a cost-cutting project?
No revenue is generated by the project.
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A firm has an existing asset with a book value of $6,600 and annual depreciation of $2,200. Assume this
asset is replaced with a new asset costing $15,400. The new asset will be depreciated straight-line over
its 5-year life. What is the incremental depreciation for year 2?
$880.
Reason: Depreciation2 = ($15,400/5) - $2,200 = $880
Which of these are cash flows that apply to a replacement problem? Select all that apply.
Cost of new asset
ATCF of an existing asset at its normal life-end
Depreciation lost if existing asset is sold
New equipment was purchased for a project at a total cost of $210,000 and was depreciated straight-line
over five years. The equipment was sold at the end of three years for $68,000. How is the ATCF
computed using a tax rate of 34 percent?
Book value = $210,000 - (3/5 × $210,000); ATCF = Book value + ($68,000 - Book value)(1 - 0.34)
According to the time value of money, what increases if an asset it depreciated as quickly as possible?
Present Value of the Income Tax Shield
A cost-cutting project is least apt to affect which one of these?
Revenue
A firm has an existing asset with a book value of $6,600 and annual depreciation of $2,200. Assume this
asset is replaced with a new asset costing $15,400. The new asset will be depreciated straight-line over
its 5-year life. What is the incremental depreciation for year 4?
$3,080.
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Reason: The existing asset will be fully depreciated in year 3 so there is no foregone depreciation in year
4.
Depreciation4 = $15,400/5 = $3,080
How can a replacement problem be defined?
Buying a new asset which will be used in place of an existing asset that is still usable
A new machine will cost $820,000 and will replace an existing machine. The new machine will reduce
variable costs by $170,000 per year. The incremental depreciation is $38,000 and the tax rate is 34
percent. What is the year 2 OCF?
$125,120.
Reason: EBIT = $170,000 - $38,000 = $132,000; OCF = $132,000(1 - 0.34) + $38,000 = $125,120
An asset with a remaining book value of $138 is sold for $96. How is the after-tax cash flow (ATCF)
computed if the tax rate is 35 percent?
ATCF = $138 + ($96 - $138)(1 - 0.35)
Assume a firm has a tax rate of 34 percent which remains stable from year to year. Which type of
depreciation should the firm use when computing its taxes?
MACRS with half-year convention
Which of these conditions generally occur in situations where equivalent annual cost (EAC) applies as the
method of decision making? Select all that apply.
Both assets may produce the same level of sales.
Two assets can be used for the same purpose
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What typifies a cost-cutting project?
No revenue is generated by the project.
In essence, the EAC process makes a decision based on which one of these?
Perpetuity payment amount
A firm has an existing asset with a book value of $6,600 and annual depreciation of $2,200. Assume this
asset is replaced with a new asset costing $15,400. The new asset will be depreciated straight-line over
its 5-year life. What is the incremental depreciation for year 2?
$880.
Reason: Depreciation2 = ($15,400/5) - $2,200 = $880
What is the second step of the EAC process?
Find the annuity payment that has the same present value as the sum of the present values of a project's
cash flows
A machine costing $79,000 will replace an old machine and lower annual variable costs by $15,500 over
its 5-year life. The new machine will be depreciated using MACRS with rates of 33.33, 44.45, 14.81, and
7.41 percent for years 1 to 4, respectively. The old machine has a current book value of $39,600 and
depreciation of $13,200. What is the incremental depreciation for year 3?
-$1,500.10.
Reason: Incremental depreciation3 = ($79,000 × 0.1481) - $13,200 = -$1,500.10
New equipment was purchased for a project at a total cost of $210,000 and was depreciated straight-line
over five years. The equipment was sold at the end of three years for $68,000. How is the ATCF
computed using a tax rate of 34 percent?
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Book value = $210,000 - (3/5 × $210,000); ATCF = Book value + ($68,000 - Book value)(1 - 0.34)
An asset has a 4-year life and a sum of present values (NPV) of cash flows of -$46,900. The discount rate
is 12 percent. How is the equivalent annuity payment, or EAC, computed?
N = 4, I = 12, PV = 46,900, FV = 0, CPT PMT
Which one of these is a key assumption in situations where EAC is used as the decision method?
Whenever the chosen asset wears out, it will be replaced with an identical asset.
Which question is the basis for determining which one of a set of alternative assets with differing lives is
preferable?
Which asset will produce the least negative EAC?
What is the first step in the EAC process?
Find the sum of the present values of the cash flows for one iteration of each project
A machine costs $112,000, has a 2-year life and annual after-tax net expenses of $31,400. What is the
EAC at rate of 14 percent?
-$99,416.45.
Reason: NPV = -$112,000 - $31,400/1.14 - $31,400/1.142 = -$163,705.14; N = 2, I = 14, PV = 163,705.14,
FV = 0, CPT PMT; PMT = -99,416.45
A new machine will cost $820,000 and will replace an existing machine. The new machine will reduce
variable costs by $170,000 per year. The incremental depreciation is $38,000 and the tax rate is 34
percent. What is the year 2 OCF?
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$125,120.
Reason: EBIT = $170,000 - $38,000 = $132,000; OCF = $132,000(1 - 0.34) + $38,000 = $125,120
A machine has an initial cost of $32,000 and annual after-tax net expenses of $2,600. The life of the
machine is three years, after which the machine will be worthless. The discount rate is 13 percent. How
is the sum of the present values (NPV) of the machine's cash flows calculated?
NPV = -$32,000 - $2,600/1.13 - $2,600/1.132 - $2,600/1.133
Which of these conditions generally occur in situations where equivalent annual cost (EAC) applies as the
method of decision making? Select all that apply.
Two assets can be used for the same purpose
Both assets may produce the same level of sales.
In essence, the EAC process makes a decision based on which one of these?
Perpetuity payment amount
A new asset costs $47,000, has a 3-year life, and annual after-tax net expenses of $3,700. What is the
EAC at a discount rate of 11 percent?
-$22,933.01.
Reason: NPV = -$47,000 - $3,700/1.11 - $3,700/1.112 - $3,700/1.113 = -$56,041.74; N = 3, I = 11, PV =
56,041.74, FV = 0, CPT PMT; PMT = -22,933.01
A machine costing $79,000 will replace an old machine and lower annual variable costs by $15,500 over
its 5-year life. The new machine will be depreciated using MACRS with rates of 33.33, 44.45, 14.81, and
7.41 percent for years 1 to 4, respectively. The old machine has a current book value of $39,600 and
depreciation of $13,200. What is the incremental depreciation for year 3?
-$1,500.10
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Reason: Incremental depreciation3 = ($79,000 × 0.1481) - $13,200 = -$1,500.10
You are comparing Machine A with a 3-year life and an EAC of -$21,407 and Machine B with a 4-year life
and an EAC of -$22,013, Which machine, if either, should be accepted according to the EAC decision
criteria?
Accept Machine A
An asset has a 4-year life and a sum of present values (NPV) of cash flows of -$46,900. The discount rate
is 12 percent. How is the equivalent annuity payment, or EAC, computed?
N = 4, I = 12, PV = 46,900, FV = 0, CPT PMT
Assume the initial costs of a project, CF0, are $38,000 and the weighted average flotation cost, fA, is 6.7
percent. How is the flotation-adjusted CF0 computed?
$38,000/(1 - 0.067)
Reason: Adjusted CF0 = $38,000/(1 - 0.067)
Which one of these is a key assumption in situations where EAC is used as the decision method?
Whenever the chosen asset wears out, it will be replaced with an identical asset.
A firm has a target capital structure of 60 percent equity and 40 percent debt. The flotation cost of
equity is 13 percent while it is 9 percent for debt. The initial cost of a project is $468,000. What is the
flotation-adjusted cash flow for time zero?
$528,217.
Reason: fA = (0.6 × 0.13) + (0.4 × 0.09) = 0.114
Adjusted CF0 = $468,000/(1 - 0.114) = $528,217
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Which question is the basis for determining which one of a set of alternative assets with differing lives is
preferable?
Which asset will produce the least negative EAC?
How is free cash flow defined?
Cash flow available for distribution to a firm's investors
A machine costs $112,000, has a 2-year life and annual after-tax net expenses of $31,400. What is the
EAC at rate of 14 percent?
-$99,416.45.
Reason: NPV = -$112,000 - $31,400/1.14 - $31,400/1.142 = -$163,705.14; N = 2, I = 14, PV = 163,705.14,
FV = 0, CPT PMT; PMT = -99,416.45
You are comparing Machine A with a 7-year life and an EAC of -$20,050 and Machine B with a 2-year life
and an EAC of -$22,000. Which machine, if either, should be accepted according to the EAC decision
criteria?
Accept Machine A
Why are a firm's target capital structure values used in computing the average flotation cost?
The firm will issue securities in these percentages over the long term.
A firm has a target capital structure of 50 percent equity, 10 percent preferred, and 40 percent debt.
Their respective flotation costs are 12 percent, 10 percent, and 7 percent. What is the weighted average
flotation cost?
9.80 percent.
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Reason: fA = (0.5 × 0.12) + (0.1 × 0.10) + (0.4 × 0.07) = 0.0980 = 9.80%
Which of these correctly define free cash flow?
FCF = [EBIT(1 - Tax rate) + Depreciation] - [Change in gross fixed assets + Change in net operating working
capital]
FCF = OCF - Investment in operating capital
A new asset costs $47,000, has a 3-year life, and annual after-tax net expenses of $3,700. What is the
EAC at a discount rate of 11 percent?
-$22,933.01.
Reason: NPV = -$47,000 - $3,700/1.11 - $3,700/1.112 - $3,700/1.113 = -$56,041.74; N = 3, I = 11, PV =
56,041.74, FV = 0, CPT PMT; PMT = -22,933.01
You are comparing Machine A with a 3-year life and an EAC of -$21,407 and Machine B with a 4-year life
and an EAC of -$22,013, Which machine, if either, should be accepted according to the EAC decision
criteria?
Accept machine A
What is the first step in the process of adjusting the initial investment for flotation costs?
Compute the weighted average flotation cost using the target capital weights
A firm has a target capital structure of 60 percent equity and 40 percent debt. The flotation cost of
equity is 13 percent while it is 9 percent for debt. The initial cost of a project is $468,000. What is the
flotation-adjusted cash flow for time zero?
$528,217.
Reason: fA = (0.6 × 0.13) + (0.4 × 0.09) = 0.114
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Adjusted CF0 = $468,000/(1 - 0.114) = $528,217
How is free cash flow defined?
Cash flow available for distribution to a firm's investors
Assume the initial costs of a project, CF0, are $38,000 and the weighted average flotation cost, fA, is 6.7
percent. How is the flotation-adjusted CF0 computed?
$38,000/(1 - 0.067)
Reason: Adjusted CF0 = $38,000/(1 - 0.067)
A firm has a target capital structure of 50 percent equity, 10 percent preferred, and 40 percent debt.
Their respective flotation costs are 12 percent, 10 percent, and 7 percent. What is the weighted average
flotation cost?
9.80 percent.
Reason: fA = (0.5 × 0.12) + (0.1 × 0.10) + (0.4 × 0.07) = 0.0980 = 9.80%
What is pro forma analysis?
Estimation of future project cash flows using only the relevant parts of the financial statements
What is an incremental cash flow?
A cash flow that either increases or decreases when a new project is implemented
Which one of these represents an opportunity cost?
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Assigning a current employee to a new project
What is an opportunity cost?
The value of the next best alternative use of a resource owned or employed by a firm
Why are sunk costs excluded from project analysis?
The costs have been incurred and cannot be recouped with or without the project.
In proforma analysis, what determines whether or not an account on the balance sheet or
income statement is relevant to a project?
If the project causes an account value to change, then it is relevant.
How can you determine if a cash flow is incremental to a project? Select all that apply.
The cash flow changes only when a new project is implemented.
The cash flow will disappear when the project ceases.
The cash flow occurs only if a new project is implemented.
Which of these represent opportunity costs? Select all that apply.
Using a piece of company equipment that has been sitting idle for two years in a new project
Building a new building on a vacant lot owned by the firm
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Using a current employee who is about to be laid off to run a project on a day by day basis
Opportunity costs are costs incurred when resources owned or employed by a firm have which
one these characteristics?
Multiple uses
Mike's Garage spent $1,000 last week to repair its parking lot. No matter what Mike does, he
cannot recoup this expense for his business. What type of cost is this?
Sunk cost
Should opportunity costs be included in or excluded from project analysis? Why?
Included; The firm must forego using the resource in any other way, thereby incurring a cost.
Which one of these is a sunk cost?
Development costs of a new project
What is a sunk cost?
A previously incurred cost than cannot be recovered
Krista's Place sells $15,000 of art work and $12,000 of craft supplies. If Krista's add home
accessories, the projected sales become $12,000 of art work, $9,000 of craft supplies, and $13,000 of
home accessories. What is the substitution effect of the home accessories?
-$6,000
Rationale:
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Substitution effect = ($12,000 -$15,000) + ($9,000 - $12,000) = -$6,000
Which one of these is an example of the substitution effect?
Current employee costs are lowered due to the automation processes implemented by a new
project
How can a sunk cost be recovered?
Sunk costs cannot be recovered.
Leo's currently sells $5,000 of wood toys and $2,000 of metal toys. Leo's wants to begin selling
plastic toys. If it does, the expected sales are $7,500 of wood toys, $2,500 of metal toys, and $3,500 of
plastic toys. What is the value of the complementary effect of the plastic toys?
$3,000
Rationale:
Complementary effect = ($7,500 - $5,000) + ($2,500 - $2,000) = $3,000
Which of these illustrates a complementary effect? Select all that apply.
A new product increases traffic flow thereby increasing the revenue generated by a firm's
existing products
A new product increases the sales of one of the firm's existing products
How is a complementary effect defined?
Any increase in the current level of sales, costs, or necessary assets of a firm's existing operations
caused by a new project
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How are the dividends paid on stock included in the analysis of a new project?
Financing costs, such as dividends, are considered in the component costs of capital when a
project's WACC is calculated.
What is a financing cost?
Interest and dividends paid as a result of external financing
Why are financing costs excluded from project cash flows?
Financing costs are included in the required return used to discount project cash flows.
Which of these is the best description of the substitution effect?
Any decrease in the level of sales, costs, or necessary assets of a firm's current operations that is
caused by the implementation of a new project
How is bond interest included in the analysis of a new project?
Bond interest is included in the computation of a bond's yield to maturity, which is the pretax
cost of debt used to compute a project's WACC
Which of these are financing costs? Select all that apply.
Bond interest
Stock dividend
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True or false: Since financing costs are included in project WACC, which are used to discount
project cash flows, we need to count them as expenses on the project
False
Free cash flows for which one of the following are affected by estimation error?
Project free cash flows only
McGinty's purchased a new machine for $318,000, paid $19,000 in sales tax, and $7,500 in
delivery charges. The firm paid $3,400 to have the machine calibrated once it was set in place. The
machine requires $5,600 of annual maintenance. What is the depreciable basis of the machine?
$347,900
Rationale:
Depreciable basis = $318,000 + $19,000 + $7,500 + $3,400 = $347,900
What are the key differences between the free cash flows of a firm and those of a project? Select
all that apply.
Firm free cash flows are actual values while project free cash flows are estimates.
How can straight-line depreciation be defined? Ignore the half-year convention.
Total amount to be depreciated spread evenly over an asset's life
Ty's purchased a machine costing $11,000 and paid $660 in sales tax. Shipping and installation
cost $1,500. The machine has a 3-year life after which it should have a book value of $3,500 and a
market value of $5,000. What is the annual, straight-line depreciation, ignoring the half year convention?
$3,220
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Rationale:
Depreciation = ($11,000 + $660 + $1,500 - $3,500)/3 = $3,220
What types of costs are included in an asset's depreciable basis? Select all that apply.
Purchase price of the asset
Sales tax and freight charges
Installation and testing costs
A firm purchased a new machine costing $28,000 including sales tax. It also paid $2,000 for
delivery and installation. The machine has a life of 6 years and an expected ending book value of $5,000.
How is the depreciation computed using the straight-line method? Ignore the half-year convention.
($28,000 + $2,000 - $5,000)/6
Which one of these computes the amount of annual depreciation using the straight-line
method? Ignore the half-year convention.
(Depreciable basis - Ending book value)/Life of asset
The Foster House purchased a machine costing $10,000 and paid $600 in sales tax. Shipping and
installation cost $1,400. The machine has a 5-year life after which it should have a book value of $5,000
and a market value of $4,000. What is the annual, straight-line depreciation, ignoring the half year
convention?
$1,600
Rationale:
Depreciation = ($10,000 + $600 + $1,400 - $5,000)/5 = $1,400
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Which one of these is a correct formula for OCF, assuming there is no interest expense?
Net income + Depreciation
Rationale:
OCF = Net income + Depreciation
A new asset costs $28,000 including all sales taxes and other installation costs. The asset is to be
depreciated to an ending book value of $5,000 over the asset's 5-year life. The asset is expected to be
sold for $7,800 at the end of the five years. How is the annual depreciation computed?
($28,000 - $5,000)/5
The values for the first year of a project are: Expected sales of 280 units, a selling price of $46,
fixed costs of $3,100, depreciation of $1,100, variable cost per unit of $28, and a tax rate of 35 percent.
What is the OCF?
$1,646
Rationale:
OCF = {[280($46 - $28)] - $3,100 - $1,100}(1 - 0.35) + $1,100 = $1,646
Suppose a project has an EBIT of -$1,500. If the tax rate is 21%, what are the computed taxes?
Negative $315
Manor's purchases some equipment in preparation for a new project. Which of these are time
zero cash flows for that project? Select all that apply.
Purchase price of the equipment
Shipping costs to have the equipment delivered
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Installation and initial testing costs
What types of activities related to a project's fixed assets can create a cash flow for the final year
of a project? Select all that apply.
Selling the project's equipment
Scrapping equipment that has a positive book value but no market value
Trading in the project's equipment on new equipment for other projects
How is operating cash flow (OCF) defined?
EBIT (1 - Tax rate) + Depreciation
Values for the first year of a project are projected as: Sales = $1,800, Depreciation = $300, Fixed
costs = $450, Variable costs = $620, Tax rate = 34 percent. What is the OCF?
$583.80
Rationale:
OCF = ($1,800 - $620 - $450 - $300)(1 - 0.34) + $300 = $583.30
How are taxes computed when a project's EBIT is negative?
The tax rate is multiplied by EBIT producing a tax credit.
Which one of these represents a time zero project cash flow?
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Purchase of new equipment to start a project
What two conditions must exist for equipment to have no effect on a project's final cash flows?
Select two. Assume there are no disposal costs.
Zero book value
Zero market value
Which one of these explains the after-tax cash flow formula for the sale of an asset?
The cash flow equals the book value plus the after-tax value of any gain or loss on the sale.
Rationale:
ATCF = Book value + (Market value - Book value)(1 - TC).
In four years, an existing machine will have a zero book value and a market value of $4,200. A
new machine costing $26,400 can replace this machine, lower variable costs by $8,200 a year, and have a
market value of $13,300 and a zero book value in 4 years. The incremental depreciation is $5,300. The
tax rate is 35 percent. What is the free cash flow for year 4?
$13,100
Rationale:
OCF = ($8,200 - $5,300)(1 - 0.35) + $5,300 = $7,185; FCF = $7,185 + $13,300(1 - 0.35) - $4,200(1 -
0.35) = $13,100
A firm purchased equipment at a total cost of $287,000, which was depreciated straight-line
over seven years. After five years, the equipment was sold for $98,900. What is the ATCF at a tax rate of
34 percent?
$93,154
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Rationale:
Book value = $287,000 - (5/7 × $287,000) = $82,000; ATCF = $82,000 + ($98,900 - $82,000)(1 -
0.34) = $93,154
If you add all the cash flows related to net working capital (NWC) over a project's life, what sum
must you obtain if your cash flows are correct?
Zero
How is the gain or loss on a sale of equipment determined?
Market value - Book value
A project has projected annual sales of $96,000, $112,000 and $136,000 for years 1 to 3,
respectively. The project requires net working capital (NWC) equal to 6 percent of the following year's
sales. Which of these are correct cash flows for this project?
Cash outflow of $1,440 in year 2.
Rationale:
Year 2 cash outflow = 0.06 × ($136,000 - $112,000) = $1,440
In 4 years, an existing machine will have a zero book value and a market value of $4,200. A new
machine costing $26,400 can replace this machine, lower variable costs by $8,200 a year, and have a
market value of $13,300 and a zero book value in 4 years. The incremental depreciation is $5,300. The
tax rate is 35%. What is the operating cash flow for year 4?
$7,185
Rationale:
OCF = ($8,200 - $5,300)(1 - 0.35) + $5,300 = $7,185
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A firm purchased equipment at a total cost of $300,000, which was depreciated straight-line
over six years. After six years, the equipment was sold for $100,000. What is the ATCF at a tax rate of
21%?
$79,000
Rationale:
Book value = $300,000 - (6/6 × $300,000) = $0; ATCF = $0 + ($100,000 - $0)(1 - 0.21) = $79,000
A project has a 3-year life and annual sales projections of $120,000, $160,000 and $190,000 for
years 1 to 3, respectively. The project requires net working capital (NWC) equal to 5 percent of the next
year's sales. How is this requirement handled in project analysis? Select all that apply.
A cash outflow of [0.05 × ($160,000 - $120,000)] is recorded in year 1.
A cash inflow of (0.05 × $190,000) occurs in year 3.
A cash outflow of (0.05 × $120,000) is recorded at time zero.
A project requires $21,000 of net working capital (NWC) over its 4-year life. Which one of these
is correct?
There is no cash flow for NWC in years 1 to 3.
Rationale:
There is a $21,000 outflow at time zero and a $21,000 inflow in year 4.
A project requires $15,000 of net working capital throughout its 5-year life. How is this
requirement handled in project analysis? Select all that apply.
$15,000 is a cash inflow in year 5.
$15,000 is a cash outflow at time zero.
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A project has a 3-year life and requires equipment costing $34,000. The OCF is estimated at
$16,000 annually. NWC of $3,500 is required over the project's life. What cash flows occur at time zero?
Select all that apply.
-$3,500
-$34,000
A project has a 3-year life, net income of $10,000 a year, and a tax rate of 21%. The project
requires $9,000 of equipment which will be depreciated straight-line over 3 years, and have a market
value of $3,000 at the end of year 3. The NWC requirement is $1,500 which is returned at the end of
year 3. What is the total cash flow for year 3?
$16,871
Rationale:
OCF = $10,000 + ($9,000/3) = $13,000; Book value at the end of year 3 = $0 ATCF = $0 + ($3,000 -
$0)(1 - 0.21) = $2,371 Year 2 cash flow = $13,000 + $1,500 + $2,371 = $16,871
Over how many tax years will a 3-year asset be depreciated given the half-year convention?
4 years
Rationale:
Given the half-year convention, a 3-year asset will be depreciated over 4 years.
A new project requires $24,000 of equipment which will be depreciated straight-line to zero over
the project's 4-year life. The project requires $2,400 of NWC, the annual OCF is $16,000, and the tax rate
is 35 percent. The equipment's market value at the end of year 4 is $5,000. What cash flows occur in
year 4? Select all that apply.
$5,000 × (1 - 0.35)
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$2,400
An asset has a 3-year life and a depreciable basis of $16,400. What is the depreciation in year 4
given straight-line depreciation with half-year convention. The depreciation table percentages are 16.67,
33.33, 33.33, and 16.67 percent for years 1 to 4, respectively.
$2,733.88
Rationale:
Depreciation Year 4 = 0.1667 × $16,400 = $2,733.88
A project has a 2-year life, net income of $14,500 a year, and a tax rate of 34 percent. The project
requires $6,000 of equipment which will be depreciated straight-line over 3 years, and have a market
value of $2,500 at the end of year 2. The NWC requirement is $1,500. What is the total cash flow for year
2?
$20,330
Rationale:
OCF = $14,500 + ($6,000/3) = $16,500; Book value at the end of year 2 = $6,000/3 = $2,000;
ATCF = $2,000 + ($2,500 - $2,000)(1 - 0.34) = $2,330; Year 2 cash flow = $16,500 + $1,500 + $2,330 =
$20,330
The half-year convention is based on which of these assumptions?
All assets placed in service during a given period were placed in service at the mid-point of the
period.
An asset has a 4-year life and a depreciable basis of $12,000. What is the first year's depreciation
given the straight-line method with half-year convention? The depreciation table percentages are 12.5,
25, 25, 25, and 12.5 for years 1 through 5, respectively.
$1,500
Rationale:
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Depreciation Year 1 = 0.125 × $12,000 = $1,500
What does accelerated depreciation indicate?
Depreciation in the first half of an asset's life is greater than half of the assets value.
Why would a firm prefer to use MACRS rather than straight-line depreciation for tax purposes?
The tax deduction from depreciation is greater in the early years.
Rationale:
The greater the depreciation, the lower the taxes.
An asset cost $52,000, has a 5-year MACRS life, and a current book value of $41,600. The MACRS
percentages for years 1 to 6 are 20, 32, 19.2, 11.52, 11.52, and 5.76 percent, respectively. What is the
depreciation for year 2?
$16,640
Rationale:
Depreciation Year 2 = 0.32 × $52,000 = $16,640
Which one of these represents a limit placed on Section 179 deductions?
Taxable income from the active conduct of the firm
What is the double-declining balance (DDB) method of depreciation?
The depreciation rate is 200 percent of the straight-line rate with the rate applied to the current
book value.
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Which one of these is a feature of MACRS depreciation?
Depreciation commences with an accelerated method and later switches to a straight-line
method.
Which one of these is property eligible for a Section 179 deduction?
A cow barn that you build on your farm
Rationale:
This is a single-purpose agricultural structure, which is eligible.
An asset has an initial cost of $43,000 and is classified as 3- year MACRS property. The MACRS
percentages are 33.33, 44.45, 14.81, and 7.41 percent for years 1 through 4, respectively. What is the
depreciation for year 3?
$6,368.30
Rationale:
Depreciation Year 3 = 0.1481 × $43,000 = $6,368.30
How do Section 179 deductions aid small businesses?
Section 179 allows eligible property, up to stated limits, to be fully expensed in the year of
purchase.
Which of these are properties eligible for a Section 179 deduction? Select all that apply.
Machinery purchased by a firm
Most storage facilities built by a firm
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An asset has a depreciable basis of $13,200 and qualifies as 3-year MACRS property. The MACRS
percentages are: 16.67, 33.33, 33.33. and 16.67 percent for years 1 to 4, respectively. What is the year 3
ending book value?
$2,200.44
Rationale:
Book value3 = $13,200 × (1 - 0.1667 - 0.3333 - 0.3333) = $2,200.44
According to the time value of money, what increases if an asset it depreciated as quickly as
possible?
Present Value of the Income Tax Shield
Which of these correctly apply to MACRS depreciation? Select all that apply.
MACRS tables are provided by the IRS.
MACRS uses DDB for 3- to 10-year property and then switches to SL when SL produces a higher
depreciation value.
All of the MACRS percentages found in the IRS tables are applied to an asset's initial depreciable
basis.
An asset is 5-year MACRS property and has an initial cost of $64,200. The MACRS percentages
are: 20, 32, 19.2, 11.52, 11.52, and 5.76 percent for years 1 to 6, respectively. What is the book value at
the end of year 4?
$11,093.76
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Rationale:
Book value4 = $64,200 × (1 - 0.2 - 0.32 - 0.192 - 0.1152) = $11,093.76
Which of these are cash flows that apply to a replacement problem? Select all that apply.
Cost of new asset
Depreciation lost if existing asset is sold
ATCF of an existing asset at its normal life-end
Assume a firm has a tax rate of 34 percent which remains stable from year to year. Which type of
depreciation should the firm use when computing its taxes?
MACRS with half-year convention
A firm has an existing asset with a book value of $6,600 and annual depreciation of $2,200.
Assume this asset is replaced with a new asset costing $15,400. The new asset will be depreciated
straight-line over its 5-year life. What is the incremental depreciation for year 4?
$3,080
Rationale:
The existing asset will be fully depreciated in year 3 so there is no foregone depreciation in year
4.
Depreciation4 = $15,400/5 = $3,080
An asset with a remaining book value of $138 is sold for $96. How is the after-tax cash flow
(ATCF) computed if the tax rate is 35 percent?
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ATCF = $138 + ($96 - $138)(1 - 0.35)
A new machine will cost $820,000 and will replace an existing machine. The new machine will
reduce variable costs by $170,000 per year. The incremental depreciation is $38,000 and the tax rate is
34 percent. What is the year 2 OCF?
$125,120
Rationale:
EBIT = $170,000 - $38,000 = $132,000; OCF = $132,000(1 - 0.34) + $38,000 = $125,120
How can a replacement problem be defined?
Buying a new asset which will be used in place of an existing asset that is still usable
A firm has an existing asset with a book value of $6,600 and annual depreciation of $2,200.
Assume this asset is replaced with a new asset costing $15,400. The new asset will be depreciated
straight-line over its 5-year life. What is the incremental depreciation for year 2?
$880
Rationale:
Depreciation2 = ($15,400/5) - $2,200 = $880
New equipment was purchased for a project at a total cost of $210,000 and was depreciated
straight-line over five years. The equipment was sold at the end of three years for $68,000. How is the
ATCF computed using a tax rate of 34 percent?
Book value = $210,000 - (3/5 × $210,000); ATCF = Book value + ($68,000 - Book value)(1 - 0.34)
Rationale:
Book value = $210,000 - (3/5 × $210,000); ATCF = Book value + ($68,000 - Book value)(1 - 0.34)
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A machine costing $79,000 will replace an old machine and lower annual variable costs by
$15,500 over its 5-year life. The new machine will be depreciated using MACRS with rates of 33.33,
44.45, 14.81, and 7.41 percent for years 1 to 4, respectively. The old machine has a current book value of
$39,600 and depreciation of $13,200. What is the incremental depreciation for year 3?
-$1,500.10
Rationale:
Incremental depreciation3 = ($79,000 × 0.1481) - $13,200 = -$1,500.10
A cost-cutting project is least apt to affect which one of these?
Revenue
Which one of these is a key assumption in situations where EAC is used as the decision method?
Whenever the chosen asset wears out, it will be replaced with an identical asset.
In essence, the EAC process makes a decision based on which one of these?
Perpetuity payment amount
What typifies a cost-cutting project?
No revenue is generated by the project.
Which of these conditions generally occur in situations where equivalent annual cost (EAC)
applies as the method of decision making? Select all that apply.
Two assets can be used for the same purpose
Both assets may produce the same level of sales.
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What is the first step in the EAC process?
Find the sum of the present values of the cash flows for one iteration of each project
Which question is the basis for determining which one of a set of alternative assets with differing
lives is preferable?
Which asset will produce the least negative EAC?
A machine has an initial cost of $32,000 and annual after-tax net expenses of $2,600. The life of
the machine is three years, after which the machine will be worthless. The discount rate is 13 percent.
How is the sum of the present values (NPV) of the machine's cash flows calculated?
NPV = -$32,000 - $2,600/1.13 - $2,600/1.132 - $2,600/1.133
Rationale:
NPV = -$32,000 - $2,600/1.13 - $2,600/1.132 - $2,600/1.133
You are comparing Machine A with a 3-year life and an EAC of -$21,407 and Machine B with a 4-
year life and an EAC of -$22,013, Which machine, if either, should be accepted according to the EAC
decision criteria?
Accept Machine A
What is the second step of the EAC process?
Find the annuity payment that has the same present value as the sum of the present values of a
project's cash flows
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A new asset costs $47,000, has a 3-year life, and annual after-tax net expenses of $3,700. What
is the EAC at a discount rate of 11 percent?
-$22,933.01
Rationale:
NPV = -$47,000 - $3,700/1.11 - $3,700/1.112 - $3,700/1.113 = -$56,041.74; N = 3, I = 11, PV =
56,041.74, FV = 0, CPT PMT; PMT = -22,933.01
An asset has a 4-year life and a sum of present values (NPV) of cash flows of -$46,900. The
discount rate is 12 percent. How is the equivalent annuity payment, or EAC, computed?
N = 4, I = 12, PV = 46,900, FV = 0, CPT PMT
Rationale:
The PV can be input as either a positive or a negative value when computing the payment.
However, the actual payment amount must be negative since the NPV is negative.
You are comparing Machine C with a 7-year life and an EAC of -$20,050 and Machine D with a 2-
year life and an EAC of -$22,00 Which machine, if either, should be accepted according to the EAC
decision criteria?
Accept Machine A
Rationale:
Machine A has the less negative EAC and should be accepted.
Why are a firm's target capital structure values used in computing the average flotation cost?
The firm will issue securities in these percentages over the long term.
A machine costs $112,000, has a 2-year life and annual after-tax net expenses of $31,400. What
is the EAC at rate of 14 percent?
-$99,416.45
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Rationale:
NPV = -$112,000 - $31,400/1.14 - $31,400/1.142 = -$163,705.14; N = 2, I = 14, PV = 163,705.14,
FV = 0, CPT PMT; PMT = -99,416.45
A firm has a target capital structure of 60 percent equity and 40 percent debt. The flotation cost
of equity is 13 percent while it is 9 percent for debt. The initial cost of a project is $468,000. What is the
flotation-adjusted cash flow for time zero?
$528,217
Rationale:
fA = (0.6 × 0.13) + (0.4 × 0.09) = 0.114
Adjusted CF0 = $468,000/(1 - 0.114) = $528,217
What is the first step in the process of adjusting the initial investment for flotation costs?
Compute the weighted average flotation cost using the target capital weights
Which of these correctly define free cash flow? Select all that apply.
FCF = OCF - Investment in operating capital
FCF = [EBIT(1 - Tax rate) + Depreciation] - [Change in gross fixed assets + Change in net operating
working capital]
A firm has a target capital structure of 50 percent equity, 10 percent preferred, and 40 percent
debt. Their respective flotation costs are 12 percent, 10 percent, and 7 percent. What is the weighted
average flotation cost?
9.80 percent
Rationale:
fA = (0.5 × 0.12) + (0.1 × 0.10) + (0.4 × 0.07) = 0.0980 = 9.80%
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Assume the initial costs of a project, CF0, are $38,000 and the weighted average flotation cost,
fA, is 6.7 percent. How is the flotation-adjusted CF0 computed?
$38,000/(1 - 0.067)
How is free cash flow defined?
Cash flow available for distribution to a firm's investors
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