MOS3310 MIDTERM
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MOS3310 MIDTERM
CHAPTER 1
1-3
What is a firm’s fundamental, or intrinsic, value? What might cause a firm’s intrinsic value
to be different than its actual market value?
Intrinsic value of a company is an estimate of the actual value of the company while the
actual market value of the firm is the current value of the firm based on its stock price.
Therefore, there are chances that the market value is lower or higher than the intrinsic value
because intrinsic value is just an estimation of the value of the firm.
1-4
The president of Eastern Semiconductor Corporation (ESC) made this statement in the company’s
annual report: “ESC’s primary goal is to increase the value of our common shareholders’
equity.” Later in the report, the following
announcements were made:
a.
The company contributed $1.5 million to the symphony orchestra in Toronto, Ontario,
its headquarters’ city.
b.
The company is spending $500 million to open a new plant and expand operations in
China. No profits will be produced by the Chinese operation for 4 years, so earnings will
be depressed during this period versus what they would have been had the decision not
been made to expand in that market.
Discuss how ESC’s shareholders might view each of these actions, and how the
actions
might affect the share price.
a.
Shareholders would not like this as it would decrease money that they could have used to increase
the shareholder value especially to the shareholders who do not live in the headquarter city.
Ultimately all shareholders are interested in actions that would maximize share price which this
action does not.
b.
As long as the analysis is accurate the shareholders should have a positive reaction to the decision
and the share price should increase in the future.
1-5
Edmund Enterprises recently made a large investment to upgrade its technology. While
these improvements won’t have much of an impact on performance in the short run, they
are expected to reduce future costs significantly. What impact will this investment have on
Edmund Enterprises’ earnings per share this year? What impact might this investment have
on the company’s intrinsic value and share price?
The investment made for the upgrade would decline the earnings per share this year as the investment
would not have impact on the performance in the short run. However, this investment would increase the
intrinsic value for the company as it gives a positive image for the future to investors. This would most
definitely increase the share price for the future as the company is expected to save costs. When the
investors have a positive perception for the future the demand for shares would increase which in turn
would increase the price.
1-6
Describe the different ways in which capital can be transferred from suppliers of capital to
those who are demanding capital.
Direct transfers business sells its stocks or bonds directly to savers.
Transfers also make go through investment bank that underwrites the issue.
Transfers can also be made through a financial intermediary.
1-7
What are financial intermediaries, and what economic functions do they perform?
Institutions or groups known as financial intermediaries serve as a link between lenders and
borrowers. They offer a variety of services, including as collecting deposits, disbursing loans,
handling payments, distributing credit and debit cards, and offering investment guidance.
By controlling the movement of money between lenders and borrowers, they also help to
promote financial stability. Financial intermediaries reduce risk by combining funds from
numerous sources and distributing funds to those in need.
1-8
Suppose the population of Area Y is relatively young while that of Area O is relatively old,
but everything else about the two areas is equal.
a.
Would interest rates likely be the same or different in the two areas? Explain.
b.
Would a trend toward nationwide branching by banks and trust companies, and the
development of nationwide diversified financial corporations, affect your answer to part a?
(a)
Area Y has a relatively young population and therefore their savings would be less and
the demand for loan would be high. This would lead to an increase interest rate.
Whereas area O has a relative old population and hence would have less loan demand
and more savings as they are less consumption oriented. This would lead to lower rate
of interest.
(b)
Nationwide branching would surely affect the answer given above, as through
nationwide branching, funds would flow from Area O to Area Y where the demand of
funds is high from a place where supply is high. This would increase interest rate of area
o and decrease the rate of area Y until the rates become roughly equal.
1-9
Suppose a new government was elected in Ottawa and its first order of business was to take
away the independence of the Bank of Canada and to force the BoC to greatly expand the
money supply. What effect would this have on the level of interest rates immediately after
announcement?
If the government takes away the independence of the Bank of Canada and forces it to greatly
expand the money supply, the level of interest rates will likely increase immediately after the
announcement. This is because an increase in the money supply leads to inflation, which
reduces the purchasing power of money.
As a result, lenders will demand a higher interest rate to compensate for the expected loss in
purchasing power of the money they lend
.
1-10
Is an initial public offering an example of a primary or a secondary market transaction?
initial public offering (IPO) is an example of a primary market transaction.
1-11
Identify and briefly compare the two primary stock exchanges in Canada today.
The two primary stock exchanges in Canada are the Toronto Stock Exchange (TSX) and the
Canadian Securities Exchange (CSE). The TSX is the larger and more established of the two,
with over 1,500 companies listed and a market capitalization of over $3 trillion. The CSE is a
smaller exchange, with a focus on smaller and emerging companies, as well as companies in
the cannabis and mining sectors.
The CSE also has a more streamlined listing process and lower listing fees than the TSX.
MINI CASE
Assume that you recently graduated and have just reported to work as an investment advisor
at the brokerage firm of Balik and Kiefer Inc. One of the firm’s clients is Sergei Turganev, a
professional hockey player who has just come to Canada from Russia. Turganev is a highly
ranked hockey player who would like to start a company to produce and market apparel
with his signature. He also expects to invest substantial amounts of money through Balik and
Kiefer. Turganev is very bright, and he would like to understand in general terms what will
happen to his money. Your boss has developed the following set of questions that you must
answer to explain the Canadian financial system to Turganev.
a.
Why is corporate finance important to all managers?
b.
What are the organizational forms a company might have as it evolves from a start-up
to a major corporation? List the advantages and disadvantages of each form.
c.
How do corporations go public and continue to grow? What are agency problems? What
is corporate governance?
d.
What should be the primary objective of managers?
(1) Do firms have any responsibilities to society at large?
(2) Is share price maximization good or bad for society?
(3) Should firms behave ethically?
e.
What three aspects of cash flows affect the value of any investment?
f.
What are free cash flows?
g.
What is the weighted average cost of capital?
h.
How do free cash flows and the weighted average cost of capital interact to determine a
firm’s value?
i.
Who are the providers (savers) and users (borrowers) of capital? How is capital transferred
between savers and borrowers?
j.
What do we call the price that a borrower must pay for debt capital? What is the price of
equity capital? What are the four most fundamental factors that affect the cost of money,
or the general level of interest rates, in the economy?
k.
What are some economic conditions (including international aspects) that affect the cost
of money?
l.
What are financial securities? Describe some financial instruments.
m.
List some financial institutions.
n.
What are some different types of markets?
a.
It provides managers the ability to identify and select strategies and projects. Also, it
allows for managers to forecast funding requirements for their company and creates the
ability to plan strategies for acquiring funds.
b.
The three main forms of business organization are (1) sole proprietorships, (2)
partnerships, (3) corporations.
Advantages and disadvantages Q 10-2
c.
A company goes public when it sells stock to the public in an initial public as the firm
grows, it might issue additional stock or debt.
An agency problem occurs when the managers of the firm act in their own self-interests
and not in the interests of the shareholders.
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Corporate governance is the system by which companies are directed and controlled.
Boards of directors are responsible for the governance of their companies.
d.
The corporation’s primary goal is stockholder wealth maximi
zation, which translates to
maximizing the price of the firm’s common stock.
(1)
Firms have an ethical responsibility to provide a safe working environment, to avoid
polluting the air or water, and to produce safe products. However, the most
significant cost-increasing actions will have to be put on a mandatory rather than a
voluntary basis to ensure that the burden falls uniformly on all businesses.
(2)
The same actions that maximize stock prices also benefit society. Stock price maximization
requires efficient, low-cost operations that produce high-quality goods and services at the
lowest possible cost. Stock price maximization requires the development of products and
services that consumers want and need, so the profit motive leads to new technology, to new
products, and to new jobs. Also, stock price maximization necessitates efficient and courteous
service, adequate stocks of merchandise, and well-located business establishments--factors
that are all necessary to make sales, which are necessary for profits.
(3)
Yes. Results of a recent study indicate that the executives of most major firms in the
United States believe that firms do try to maintain high ethical standards in all of their
business dealings. Furthermore, most executives believe that there is a positive
correlation between ethics and long-run profitability. Conflicts often arise between
profits and ethics. Companies must deal with these conflicts on a regular basis, and
a failure to handle the situation properly can lead to huge product liability suits and
even to bankruptcy. There is no room for unethical behavior in the business world.
e.
1. Amount of expected cash flows.
2. Timing of the cash flow stream.
3. Risk of the cash flows.
f.
free cash flows are the cash flows available for distribution to all investors (stockholders
and creditors) after paying expenses (including taxes) and making the necessary
investments to support growth. Three factors determine cash flows: (1) current level and
growth rates of sales; (2) operating expenses; and (3) capital expenses.
g.
The weighted average cost of capital (WACC) is the average rate of return required by
all of the company’s investors (stockholders and creditors). It is affected by the firm’s
capital structure, interest rates, the firm’s risk, and the market’s
overall attitude toward
risk.
h.
A firm’s value is the sum of all future expected free cash flows, converted into today’s
dollars.
…
Value of firm formula.
i.
Households are net savers. Non-financial corporations are net borrowers. Governments are net
borrowers. Non-financial corporations (i.e., financial intermediaries) are slightly net borrowers,
but they are almost breakeven. Capital is transferred through: (1) direct transfer (e.g., corporation
issues commercial paper to insurance company); (2) an investment banking house (e.g., IPO,
seasoned equity offering, or debt placement); (3) a financial intermediary (e.g., individual
deposits money in bank, bank makes commercial loan to a company)
.
j.
Cost of equity = Required return = dividend yield + capital gain
Four factors affect the cost of money:
Production opportunities
Time preferences for consumption
Risk
Expected inflation
k.
Economic conditions affect the cost of money:
Federal Reserve policies
Budget deficits/surpluses
Level of business activity (recession or boom)
International trade deficits/surpluses
International conditions affect the cost of money:
- Country risk. Depends on the country's economic, political, and social environment.
- Exchange rate risk. Non-dollar denominated investment's value depends on what
happens to exchange rate. Exchange rates affected by:
-International trade deficits/surpluses
-Relative inflation and interest rates
l.
Financial securities are assets or instruments with an economic value that people can
buy, sell, and trade. The most common types of financial security are stocks, bonds,
mutual funds, and ETF shares.
Some of the financial instruments are - Corporate bonds
which can be traded on an exchange and are issued by companies to raise funds for the
capital expenditure requirements of the companies. Similarly, companies can also issue
stock or equity which are also traded in the exchange, and they are also used to fund
expansion plans of the company. Stocks or equity carries greater risk than bonds and
hence need greater return expectations.
m.
Investment banks
Commercial banks
Trust companies
Credit unions
Life insurance companies
Mutual funds
Pension funds
Hedge funds
Private equity funds
n.
A market is a method of exchanging one asset (usually cash) for another asset. Some
types of markets are physical assets vs. financial assets; spot versus future markets;
money versus capital markets; primary versus secondary markets.
CHAPTER 2
2-1
An investor recently purchased a corporate bond that yields 7.68%. The investor is in the 25% federal-plus-state
tax bracket. What is the bond’s after
-tax yield to the investor?
In the given case, the investor has purchased a corporate bond on which the required rate of return (also known as
the market rate of interest) is 7.68%. Also, the federal plus state tax rate applicable to the investor is 25%.
The Bond’s after Tax yield to the investor can be calculated as follows:
2-2
Little Books Inc. recently reported $3.5 million of net income. Its EBIT was $7 million, and its tax rate was 30%.
What was its interest expense?
(EBIT-interest expense)(1-tax rate)=net income
(7,000,000-interest expense)(1-0.3)=3,500,000
(7,000,000-interest expense)=(3,500,000/0.7)
(7,000,000-interest expense)=5,000,000
interest expense=7,000,000-5,000,000
=$2,000,000
2-3
Pearson Brothers recently reported an EBITDA of $7.5 million and net income of $1.8 million. It had $2.0 million of
interest expense, and its corporate tax rate was 40%. What was its charge for depreciation and amortization?
Company P provide the following information where
Earnings before interest, tax, depreciation and amortization (EBITDA) is $7.5million
Net Income is $1.8million, Interest Expense is $2million and tax rate, (t) is 0.40. It is require calculating
depreciation and amortization expenses.
Let earning before tax (EBT)
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Therefore depreciation and amortization expenses is $2.5 million
2-4
Kendall Corners Inc. recently reported net income of $3.1 million and depreciation of $250,000. What was its net cash
flow? Assume it had no amortization expense.
Net Income is $3,100,000
Depreciation expenses $500,000
Calculate the Net cash flow amount:
Depreciation is typically the largest non-cash item, so net cash flow is often expressed as net income plus
depreciation.
Net Cash flow amount is
$3,600,000
2-5
In its most recent financial statements, Newhouse Inc. reported $50 million of net income and $810 million of retained
earnings. The previous retained earnings were $780 million. How much in dividends was paid to shareholders during the
year?
Given:
Net Income = $ 50,000,000
Retained Earnings = $ 810,000,000
Previous Retained Earnings = $ 780,000,000
The net Income of the company is divided into two accounts, namely:
Retained earnings and
Dividends paid out.
Thus,
Further, we can find out the change in retained earnings as:
Substituting the value for change in retained earnings account to get, dividends paid out to shareholders:
2-6
Based on the following information, what are Ever Green’s cash flows from operations? The
company reported profits
of $18,000 and claimed amortization of $4,000, while accounts receivable increased by $4,000, inventories decreased by
$8,000, and accounts payable increased by $4,000.
CHAPTER 3
3-1
Grey Brothers has a DSO of 27 days. The company’s average daily sales are $35,000. What is the level of its accounts
receivable? Assume there are 365 days in a year.
Days sales outstanding = (Receivables / Average sales per day) = (Receivables / (Annual sales / 365))
27 = (Receivables / 35000)
AR =$945,000
3-2
Vigo Vacations has an equity multiplier of 2.5.
The company’s assets are financed with some combination of long
-
term debt and common equity. What is the company’s debt ratio?
Therefore, the debt ratio is
3-3
A company’s stock price is $12 per share, and it has $7 million in total a
ssets. Its balance sheet shows $1 million in
current liabilities, $2.5 million in long-term debt, and $3.5 million in common equity. It has 500,000 common shares
outstanding. What is the company’s market/book ratio?
Net Book Value = Total Assets
–
Total Liabilities
=
7 million - (1 million + 2.5 million)
= 7 million-3.5 million =
3.5 million
Net Book Value per share
= 3.5 million/500000
= 7
market/book ratio = Share price/Net Book Value per share
=
12/7
M/B = 1.71
3-4
A company has an EPS of $1.50, a cash flow per share of $3.00, and a price/cash flow ratio of
8.0 times. What is its P/E ratio?
therefore P/E ratio=16
3-5
Davison Truck Repairs has sales of $3,500,000 and cost of goods sold of $2,800,000. The company
believes it is possible to delay payment by 6 days and not offend its suppliers. Will the
company’s accounts payable
increase or decrease, and by how much if it takes on average 6 days longer to pay its bills?
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Change in AP = $46,026
CHAPTER4
4-2
What is an opportunity cost rate? How is this rate used in discounted cash flow analysis, and
where is it shown on a timeline? Is the opportunity cost rate a single number that is used in
all situations?
Opportunity cost rate is the required return that an Investor Could have earned on an alternative
Investment with the same risk.
In discounted cash flow analysis, it is represented by the symbol "i
”,
It is shown on top of the
time line.
Opportunity rate is not same for all Projects i.e., it is not a single rate, it depends on the
riskiness of the Investment Project also On various factors like Inflation, length of the project
a.
If you deposit $10,000 in a bank account that pays 10% interest annually, how much
will be in your account after 5 years?
Future value = Present value*(1+r)^n
r = Interest rate
n = Number of periods
Future value after 5 Years = 10000*(1+10%)^5 =
16,105.10
b.
What is the present value of a security that will pay $5,000 in 20 years if
securities of equal risk pay 7% annually?
Using the same above formula Now we have to calculate Present value
5000 = Present value*(1+7%)^20
Present value =
1292.10
c.
What is the future value of a 7%, 5-year ordinary annuity that pays $300 each
year? If this were an annuity due, what would its future value be?
Future value of annuity = P*[(1+r)^n - 1 / r ]
P = Periodical payment = 300
r = Interest rate = 7%
n = Number of periods = 5
Future value = 300*[(1+7%)^5 - 1 / 7%] =
1725.22
In case of annuity due,
Future value = P*[(1+r)^n - 1 / r ]*(1+r)
= 1725.22*(1+7%) =
1846
4-3
An annuity is defined as a series of payments of a fixed amount for a specific number of periods.
Thus, $100 a year for 10 years is an annuity, but $100 in Year 1, $200 in Year 2, and$400 in Years 3
through 10 does not constitute an annuity. However, the second series contains an annuity. Is this
statement true or false?
An annuity is the series of equal payment made at the fixed interval of time period. So, the
important feature of annuity is:
• Equal payment.
• Fixed time period.
The payment of
a year for 10 years is an annuity because there is equal payment
of
for 10 years. In the second case, the payment for the first series is made in the
following manner:
•
in first year.
•
in second year.
•
in third year and onwards.
The payment in such a manner does not constitute annuity because there is no equal payment
for fixed interval of time period. When the payment is made in the following manner in the
second series it will constitute annuity as there will be equal amount of payments for first and
second years and from third year onwards.
4-4
If a firm’s earnings per share grew from $1 to $2 over a 10
-year period, the total growth would be
100%, but the annual growth rate would be less than 10%. True or false? Explain.
By using the financial calculator and input
Solving for I/YR,
i
would be
Therefore, the Interest rate is 7.18%
The given statement is true. This is done due to the compounding effects--growth on
growth. In compounding effects
—
growth, the amount is increases by the added value of
the previous year principal as well as interest.
4-5
Would you rather have a savings account that pays 5% interest compounded semiannually or one that
pays 5% interest compounded daily? Explain.
Effective annual rate = (1+(APR/m)) ^m - 1
APR = Nominal rate
m = Number of Compounding periods
Higher the Number of Compounding periods higher the Effective rate
we should select the Investment that gives highest Effective annual rate
So, you should select the
account that pays 5% interest compounded daily (Because m =
365 compared to 2 for semi-annual)
CR-1
Assume that 1 year from now, you will deposit $5,000 into a savings account that pays 4%.
a. If the bank compounds interest annually, how much will you have in your account
4 years from now?
b. What would your balance 4 years from now be if the bank used quarterly compounding
rather than annual compounding?
c. Suppose you deposited the $5,000 in four payments of $1,250 each at Year 1, Year 2, Year
3, and Year 4. How much would you have in your account at Year 4, based on 4% annual
compounding?
d. Suppose you deposited four equal payments in your account at Year 1, Year 2, Year 3,
and Year 4. Assuming an 4% interest rate, how large would each of your payments have
to be for you to obtain the same ending balance as you calculated in part a?
CR-2
Assume that 4 years from now you will need $1,000. Your bank compounds interest at an
8% annual rate.
a. How much must you deposit 1 year from now to have a balance of $1,000 four years from now?
b. If you want to make equal payments at Years 1 through 4 to accumulate the $1,000, how
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large must each of the four payments be?
c. If your father were to offer either to make the payments calculated in part b ($221.92) or
to give you a lump sum of $750 one year from now, which would you choose?
d. If you have only $750 one year from now, what interest rate, compounded annually,
would you have to earn to have the necessary $1,000 four years from now?
e. Suppose you can deposit only $186.29 each at Years 1 through 4, but you still need
$1,000 at Year 4. What interest rate, with annual compounding, must you seek out to
achieve your goal?
f. To help you reach your $1,000 goal, your father offers to give you $400 one year from
now. You will get a part-time job and make six additional payments of equal amounts
each 6 months thereafter. If all of this money is deposited in a bank that pays 8%, compounded
semiannually, how large must each of the six payments be?
g. What is the effective annual rate being paid by the bank in part f?
CR-3
Bank A pays 8% interest, compounded quarterly, on its money market account. The managers
of Bank B want its money market account to equal
Bank A’s effective annual rate, but interest
is to be compounded on a monthly basis. What nominal, or quoted, rate must Bank B set?
4-1
How much money will you have in your bank account in 5 years if it pays 4% annually and
you start with the following amounts. (Hint: If you are using a financial calculator, you can
enter the known values and then press the appropriate key to find the unknown variable.
Then, without clearing the TVM register, you can “override” the variable that changes by
simply entering a new value for it and then pressing the key for the unknown variable to
obtain the second answer. This procedure can be used in parts b through d, and in many
other situations, to see how changes in input variables affect the output variable.)
a.
$5,000.
c. $15,000.
b. $10,000.
d. $20,000.
Using calc
a. $6,083.27
b. $12,166.53
c. $18,249.80
d. $24,333.06
4-2
What is the present value of a security that will pay the amounts shown below in 20 years?
Securities of equal risk pay 7% annually.
a. $20,000. c. $40,000.
b. $30,000. d. $50,000.
Using calc
a.$5168.38
b.$7752.57
c.$10336.76
d.$12920.95
4-3
Your parents will retire in 18 years, and they think they will need $1,000,000 at retirement.
What annual interest rate must they earn to reach their goal, based on the starting amounts
shown below? Assume they don’t save any additional funds.
a. $50,000. c. $200,000.
b. $100,000. d. $300,000.
Using calc
a. 18.11%
b. 13.65%
c. 9.35%
d. 6.92%
4-4
If you deposit money in an account today, how long will it take to triple your money based
on the annual interest rates below?
a. 2.5%.
c. 7%.
b. 4%.
d. 10%.
Using calc
a.44.49
b.28.01
c.16.24
d.11.53
4-5
You have $42,180.53 in a brokerage account, and you plan to deposit an additional $5,000 at the end of every future
year until your account totals $250,000. You expect to earn 12% annually on the account. How many years will it take to
reach your goal?
Using calc
N = 11 years
4-6
What is the future value of a 9%, 5-year ordinary annuity that pays $300 each year? If this
were an annuity due, what would be its future value?
Using calc
FV=1795.41
FVdue=1795.41(1.09)=1957.00
4-7
An investment will pay $100 at the end of each of the next 3 years, $200 at the end of Year 4, $300 at the end of Year
5, and $500 at the end of Year 6. If other investments of equal risk earn 8% annually, what is its present value? Its future
value?
Using calc do each ind then add
PV = $923.98
FV = $1,466.24
4-8
You want to buy a car, and a local bank will lend you $20,000. The loan would be fully amortized over 5 years (60
months), and the nominal interest rate would be 12%, with interest paid monthly. What would be the monthly loan
payment? What would be the loan’s EAR?
Here, loan amount is for 60 months. So the monthly coupon rate would be the 1% payable monthly. So,
the monthly loan payment of an annuity will be calculated by using the PVA formula as follows:
Therefore the month loan payment would be
Now the EAR is calculated as follows:
Therefore the EAR is
4-9
Find the following values, using the equations, and then work the problems using a financial calculator to check your
answers. Disregard rounding differences.
a. An initial $9,500 compounded for 1 year at 7%. FV
b. An initial $9,500 compounded for 2 years at 7%. FV
c. The present value of $9,500 due in 1 year at a discount rate of 7%. PV
d. The present value of $9,500 due in 2 years at a discount rate of 7%.
PV
Using calc
a. $10,165
b.$10,876.55
c. $8,878.50
d. $8,297.67
4-10
Use equations and a financial calculator to find the following values.
a. An initial $500 compounded for 10 years at 6%
b. An initial $500 compounded for 10 years at 12%.
c. The present value of $500 due in 10 years at a 6% discount rate.
d. The present value of $500 due in 10 years at a 12% discount rate.
Using cala
a.895.42
b.155292
c.279.20
d.160.99
4-11
To the closest year, how long will it take $200 to double if it is deposited and earns the following Rates:
a.7%.
c.18%.
b.10%.
d.100%.
using calc
a. N =10.24 b. N = 7.27
c. N = 4.19
d. N = 1.00
4-12
Find the future value of the following annuities. The first payment in these annuities is made at the end of Year 1; that
is, they are ordinary annuities. [Note: you can leave values in the TVM register, switch to “BEG,” press FV, and find the
FV of the annuity due.]
a. $600 per year for 10 years at 8%.
b. $300 per year for 5 years at 4%.
c. $600 per year for 5 years at 0%.
d. Now rework part a assuming that payments are made at the beginning of each year;
that is, they are annuities due.
Using calc
a.$8691.94
b.$1624.90
c.$3000
d.$9387.29
4-13
Find the present value of the following ordinary annuities:
a. $400 per year for 10 years at 10%.
b. $200 per year for 5 years at 5%.
c. $400 per year for 5 years at 0%.
d. Now rework parts a, b, and c assuming that payments are made at the beginning of
each year; that is, they are annuities due.
a. $2,457.83
b. $865.90.
c. $2,000.00.
d. (1) $2,703.61. (2) $909.19.
(3) $2,000.00
4-14
a
. Find the present values of the following cash flow streams. The appropriate interest rate is 14%. (Hint: It is fairly
easy to work this problem dealing with the individual cash flows. However, if you have a financial calculator, read the
section of the manual that describes how to enter cash flows such as the ones in this problem. This will take a little time,
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but the investment will pay huge dividends throughout the course. Note, if you do work with the cash flow register, then
you must enter CF
0
5 0.)
Year.
Cash Stream A
Cash Stream B
1
$800
$100
2
300
300
3
300
300
4
300
300
5
100
800
b.
What is the value of each cash flow stream at a 0% interest rate?
Using calc
Calculate each then add
4-15
Find the interest rates, or rates of return, on each of the following:
a. You borrow $700 and promise to pay back $749 at the end of 1 year.
b. You lend $700 and receive a promise to be paid $749 at the end of 1 year.
c. You borrow $85,000 and promise to pay back $201,229 at the end of 10 years.
d. You borrow $9,000 and promise to make payments of $2,684.80 per year for 5 years.
Using calc
a. 7%.
b. 7%.
c. 9%.
d. 15%
4-16
Find the amount to which $2,000 will grow under each of the following conditions:
a. 8% compounded annually for 5 years.
b. 8% compounded semiannually for 5 years.
c. 8% compounded quarterly for 5 years.
d. 8% compounded monthly for 5 years.
Find EFF then
Using calc find FV
4-17
Find the present value of $2,000 due in the future under each of the following conditions:
a. 8% nominal rate, semiannual compounding, discounted back 5 years.
b. 8% nominal rate, quarterly compounding, discounted back 5 years.
c. 8% nominal rate, monthly compounding, discounted back 1 year.
a. $1,351.13.
b. $1,345.94.
c. $1,846.72
4-19
Universal Bank pays 7% interest, compounded annually, on time deposits. Regional Bank pays 6% interest,
compounded quarterly.
a. Based on effective interest rates, in which bank would you prefer to deposit your money?
b. Could your choice of banks be influenced by the fact that you might want to withdraw
your funds during the year as opposed to at the end of the year? In answering this question,
assume that funds must be left on deposit during the entire compounding period
in order for you to receive any interest.
a. Universal, EAR = 7%
Regional, EAR = 6.14%
CHAPTER 5
Operating plan:
It provides detailed implementation guidance to help meet the corporate
objectives. These plans can be developed for any time period but generally, they are developed
for 5-year time. This plan explains who is responsible for each function, when specific tasks are
to be accomplished, sales and profit targets etc.
Financial plan:
It provides details about the financial aspect of an operating plan. It also
provides the details about the current financial condition of the firm, along with the future
financial forecast which includes sales forecast, pro forma financial statements, and external
financing plan.
Sales forecast:
Sales forecast generally starts with the review of past 5 to 10 years data to
forecast the future sales. It generally, focuses on number of units and the dollar sales for the
future period. It is generally represented in graphical form. Sales forecasts are based on the
past and present sales trend. It also includes the economic conditions, industrial growth,
expansion, diversification etc. It is very crucial and important forecast for financial planning.
Pro forma financial statement:
It is similar to the actual financial statement and depicts it if the
assumption under which it is prepared takes place.
Forecasted financial statement method:
It actually forecasts the complete set of financial
statements. Under this the AFN formula is used to forecast the financial statement. Accordingly,
sales are forecasted first and all other items supporting the sales are forecasted based on sales.
Both the income statement and balance sheet are forecasted based on sales. Thus, the value of
the various item increases with sales and decrease with sales as they are estimated with the
percentage of sales.
Spontaneously generated funds:
Spontaneous fund are those funds which are generated
automatically with the projected increase in sales. Spontaneous increase in liabilities such as
accounts payable, accruals which are the sources of funds in proportion to the increase in
assets due to the increase in sales is spontaneously generated funds. Increase in spontaneous
liability will lower the need for external financing.
Additional funds’ needs (AFN):
It indicates the requirement of external source of funds in
order to increase the assets of the firm which is essential to support the increase in sales.
Increase in sales requires the firm to increase its asset in order to support its increased level of
sales. But sometime, the requirements are met with the spontaneous liabilities and the retained
earnings of the firm. External sources of fund equals to the balance amount which is required by
the firm and cannot be met through internal sources.
AFN = (A*/S
0
)∆S –
(L*/S
0
)∆S –
M(S
1
)(RR)
Capital intensity ratio: The amount of assets required per dollar of sales is called as the capital
intensity ratio. This ratio has a major effect on capital requirements. Firm having higher assets-
to-sales ratio requires more assets for a given increase in sales, hence a greater need for
external financing.
Lumpy assets:
For a firm to be competitive it must add fixed assets in large, discrete units;
such assets are often referred to as lumpy assets. It has a major effect on the fixed assets to
sales ratio at different sales levels and consequently, on financial requirements.
5-2
Certain liability and net worth items generally increase spontaneously with increases in
sales. Put a tick mark (
P
) by those items that typically increase spontaneously:
Accounts payable
___P___
Mortgage bonds
_______
Notes payable to banks _______ Common stock.
_______
Accrued wages.
___P___
Retained earnings
___P___
Accrued taxes
___P___
5-3
The following equation is sometimes used to forecast financial requirements:
AFN = (A*/S
0
)∆S –
(L*/S
0
)∆S –
M(S
1
)(RR)
What key assumption do we make when using this equation? Under what conditions might this
assumption not hold true?
1. Sales are assumed to grow at the expected percentage rate.
2. Many items in the balance sheet like cash, accounts receivables, accounts payable and
inventory are assumed to increase in the same percentage as the increase in sales.
5-4
Name the five factors that affect a firm’s external financing requirements.
•
Sales growth rate.
•
Capital intensity ratio.
•
Spontaneous liabilities-to-sales ratio.
•
Profit Margin.
•
Payout Ratio.
5-5
What is meant by the term “self
-
supporting growth rate”? How is this rate related to the
AFN equation, and how can that equation be used to calculate the self-supporting growth rate?
Self-supporting growth rate is the increase in sales percentage without the use of external
sources of finance.
Sell-supporting growth with the help of the AFN equation determines the growth rate.
For this, the AFN needs to be taken as zero, the change in sales would be replaced by the
product of growth and sales, and the next year’s sales would be replaced by the product of the
current sales and 1 plus growth.
5-6
Suppose a firm makes the following policy changes. If the change means that external,
nonspontaneous financial requirements (AFN) will increase, indicate this by a (+); indicate a decrease by
a (-); and indicate indeterminate or no effect by a (0). Think in terms of the immediate, short-run effect on
funds requirements.
a. The dividend payout ratio is increased. ___+____
b. The firm decides to pay all suppliers on delivery, rather than after a 30-day delay, to take advantage of
discounts for rapid payment. ___+____
c. The firm begins to sell on credit (previously all sales had been on a cash basis). ___+____
d. The firm’s profit margin is eroded by increased competition;
sales are steady. ___+____
e. The firm sells its manufacturing plants for cash to a contractor and simultaneously signs a contract to
purchase from that contractor goods that the firm formerly produced. ___0___
f. The firm negotiates a new contract with its union that lowers its labour costs without affecting its
output. ___-___
CR-1
The Barnsdale Corporation has the following ratios: A*/S0 =1.6; L*/S0 = 0.4; profit margin =
0.10; and dividend payout ratio = 0.45, or 45%. Sales last year were $100 million. Assuming
that these ratios will remain constant, use the AFN formula to determine the firm’s self
-supporting
growth rate
—
in other words, the maximum growth rate Barnsdale can achieve without having to employ
nonspontaneous external funds.
CR-2
Suppose Barnsdale’s financial consultants (see Problem CR
-1) report (1) that the sales-to inventory
ratio (sales/inventory) is three times versus an industry average of four times and (2) that Barnsdale could
reduce inventories (and this ratio to 4) without affecting sales, the profit margin, or the other asset ratios.
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Under these conditions, use the AFN formula to determine the amount of additional funds Barnsdale
would require during each of the next 2 years. if sales grew at a rate of 20% per year.
CR-2
Holden Lumber’s 2015 financial statements are shown below.
Holden Lumber: Balance Sheet as at December 31, 2015 (Thousands of Dollars)
Cash $ 1,800 Accounts payable $ 7,200
Receivables 10,800 Notes payable 3,472
Inventories 12,600 Accruals 2,520
Total current assets 25,200 Total current liabilities 13,192
Net fixed assets 21,600 Mortgage bonds 5,000
Common stock 2,000
Retained earnings 26,608
Total assets $46,800 Total liabilities and equity $46,800
Holden Lumber: Income Statement for December 31, 2015 (Thousands of Dollars)
Sales $36,000
Operating costs 30,783
Earnings before interest and taxes 5,217
Interest 717
Earnings before taxes 4,500
Taxes (28%) 1,260
Net income $ 3,240
Dividends (60%) $ 1,944
Addition to retained earnings $ 1,296
a. Assume that the company was operating at full capacity in 2015 with regard to all items
except fixed assets, fixed assets in 2015 were being utilized to only 75% of capacity.
By what percentage could 2016 sales increase over 2015 sales without the need for an
increase in fixed assets?
b. Now suppose that 2016 sales increase by 25% over 2015 sales. Use the forecasted financial
statement method to forecast a 12/31/16 balance sheet and 2016 income statement,
assuming that (1) the historical ratios of operating cost/sales, cash/sales, receivables/
sales, inventories/sales, accounts payable/sales, and accruals/sales remain constant;
(2) Holden cannot sell any of its fixed assets; (3) any required financing is done at the end
of 2016 as notes payable; (4) the firm earns no interest on its cash; and (5) the interest rate
on all of its debt is 12%. Holden pays out 60% of its net income as dividends and has a
tax rate of 28%. How much additional external capital will be required? (Hints: Base the
forecasted interest expense on the amount of debt at the beginning of the year, because
any new debt is added at the end of the year; also, use the forecasted income statement
to determine the addition to retained earnings for use in the balance sheet.)
PROBLEMS
5-1
Broussard Skateboard’s sales are expected to increase by 15% from $8 million in 2015 to $9.2 million
in 2016. Its assets totaled $5 million at the end of 2015. Broussard is already at full capacity, so its assets
must grow at the same rate as projected sales. At the end of 2015, current liabilities were $1.4 million,
consisting of $450,000 of accounts payable, $500,000 of notes payable, and $450,000 of accruals. The
after-tax profit margin is forecasted to be 6%, and the forecasted payout ratio is 40%. Use the AFN
equation to forecast Broussard’s additional funds needed for the coming year.
Sales Expected = 9200000
After tax profit margin = 9200000*0.06 = 552000
Dividend payments = 552000*0.4 = 220800
Addition to retained earnings = 552000-220800 = 331200
Increase in assets = 750000
Increase in liabilities = 135000
AFN = Increase in assets - Increase in Liabilities - Addition to Retained Earnings
AFN = 283800+
5-2
Refer to Problem 5-
1. What would be the additional funds needed if the company’s year
-end 2015
assets had been $7 million? Assume that all other numbers6556, including sales, are the same as in
Problem 5-1 and that the company is operating at full capacity. Why is this AFN different from
the one you found in Problem 5-
1? Is the company’s “capital intensity” ratio the same or different?
Additional fund needed is the amount of fund required by the firm to expand its business
operations. A firm can determine additional fund needed by estimating the amount of
new assets necessary to support the forecasted level of sales and then subtracting from
that amount the spontaneous funds that will be generated from operations.
The additional fund needed (AFN) will be calculated by the formula shown below:
Mathematically, this formula can be expressed as follows:
Where:
M = profit margin
= Assets at the beginning
= Liabilities at the beginning
= Change in sales
= New sales
The sale is expected to grow by 15% from $7 million in 2016 to $9.2 million in 2017. It
has total assets of $5 million at the end of the year 2016 while the current liabilities were
$1.4 million out of which accounts payable were $450,000, note payable were $500,000
and accruals were $450,000. Profit margin is 6% and payout ratio is 40%.
Compute, AFN with the help of formula shown below:
Therefore, the additional fund needed will be
Conclusion: It can be observed that the additional fund needed in the previous situation
was $283,800 when the assets were $5 million. But the value of AFN increased with the
increase in amount of assets. The additional fund needed is $583,800 when the assets
are $7million.
5-3
Refer to Problem 5-1. Return to the assumption that the company had $5 million in assets at the end
of 2015, but now assume that the company pays no dividends. Under these assumptions, what would be
the additional funds needed for the coming year? Why is this AFN different from the one you found in
Problem 5-1?
Additional fund needed is the amount of fund required by the firm to expand its business
operations. A firm can determine additional fund needed by estimating the amount of
new assets necessary to support the forecasted level of sales and then subtracting from
that amount the spontaneous funds that will be generated from operations.
The additional fund needed (AFN) will be calculated by the formula shown below:
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Mathematically, this formula can be expressed as follows:
Where:
The sale is expected to grow by 15% from $5 million in 2016 to $9.2 million in 2017. It
has total assets of $5 million at the end of the year 2016 while the current liabilities were
$1.4 million out of which accounts payable were $450,000, note payable were $500,000
and accruals were $450,000. Profit margin is 6% and no dividend has been paid. This
implies that the payout ratio will be zero.
Compute, AFN with the help of formula shown below:
Therefore, the additional fund needed will be
Conclusion:
It can be observed that the additional fund needed in the previous
situation was $283,800 when the payout ratio was 40%. But the value of AFN declined
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with the decrease in payout ratio. The additional fund needed is $63,000 when no
dividends are paid.
5-4
Maggie’s Muffins Inc. generated $5,000,000 in sales during 2015, and its year
-end total assets were
$2,500,000. Also, at year-end 2015, current liabilities were $1,000,000, consisting of $300,000 of notes
[payable, $500,000 of accounts payable, and $200,000 of accruals. Looking ahead to 2016, the company
estimates that its assets must increase at the same rate as sales, its spontaneous liabilities will increase at
the same rate as sales, its profit margin will be 7%, and its payout ratio will be 80%. How large a sales
increase can the company achieve without having to raise funds externally
—
that is, what is its self-
supporting growth rate? pl
Additional Funds Needed (AFN): It is the amount of money required by the company
from external sources to finance the increase in assets required to support its increasing
sales.
Self-Supporting Growth Rate: It is the extreme growth rate a company could realize
without increasing the amount of debt in the capital structure.
AFN is ‘0’ while estimating the self
-supporting growth potential of the company.
The following data has been found by calculations:
Sales
Total Assets
Current Liabilities
Profit Margin (M)
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Payout Ratio
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Therefore, the company can increase sales up to
while operating at its
self-supporting growth potential.
5-5
At year-
end 2015, Wallace Landscaping’s total assets were $2.17 million and its accounts payable
were $560,000. Sales, which in 2015 were $3.5 million, are expected to increase by 35% in 2016. Total
assets and accounts payable are proportional to sales, and that relationship will be maintained. Wallace
typically uses no current liabilities other than accounts payable. Common stock amounted to $625,000 in
2015, and retained earnings were $395,000. Wallace has arranged to sell $195,000 of new common stock
in 2016 to meet some of its financing needs. The remainder of its financing needs will be met by issuing
new long-term debt at the end of 2016. (Because the debt is added at the end of the year, there will be no
additional interest expense due to the new debt.) Its net profit margin on sales is 5%, and 45% of earnings
will be paid out as dividends.
a. What were Wallace’s total long
-term debt and total liabilities in 2015?
b. How much new long-term debt financing will be needed in 2016? (Hint: AFN
–
New stock = New
long-term debt.)
Additional Funds Needed (AFN):
It is the amount of money required by the company
from external sources to finance the increase in assets required to support its increasing
sales. It is financed either by raising long term debt or by issuing equity or both.
This can be simplified in the following equation:
The following information has been derived in 2015 as below:
Total Assets (A
0
*
)
$2.17 million
Sales (S
0
)
$3.50 million
Accounts Payable (L
0
*
)
$560,000
Common Stock
$625,000
Retained Earnings
$395,000
The following information has been derived in 2016 as below:
New Common Stock issued
$195,000
Increase in Sales
35%
Payout Ratio
45%
Profit Margin (M)
5%
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Total Assets and Accounts Payable will increase in same proportion to Sales.
a.
Long-Term Debt (2015):
Therefore, long term debt is
.
Total Liabilities (2015):
Therefore, long term liabilities is
b.
Total Assets to Sales Ratio:
It is calculated by dividing the total assets by
sales.
Spontaneous Liabilities to Sales Ratio:
It is calculated by dividing the value of
Spontaneous Liabilities by Sales.
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Additional Long-Term Financing needed in the Year 2016:
Therefore the company will require additional long term debt finance
of
to achieve 35% increase in sales.
5-6
The Booth Company’s sales are forecast to increase from $1,000 in 2015 to $2,000 in 2016.
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Here is the December 31, 2015, balance sheet:
Cash
$ 100.
Accounts payable
$ 50
Accounts receivable
200
Notes payable
150
Inventories
200
Accruals
50
Net fixed assets
500
Long-term debt
400
Common stock
100
Retained earnings
250
Total assets
$1,000
Total liabilities and equity
$1,000
Booth’s fixed assets were used to only 50% of capacity dur
ing 2015, but its current assets
were at their proper levels. All assets except fixed assets increase at the same rate as sales,
and fixed assets would also increase at the same rate if the current excess capacity did not
exist. Booth’s after
-tax profit margin is forecasted to be 5%, and its payout ratio will be 60%.
What is Booth’s additional funds needed (AFN) for the coming year?
Additional Funds Needed (AFN): It
is an amount required by a firm from outside sources
to finance the rise in assets needed to support its increasing sales.
This can be simplified in the following equation:
Capacity Sales is calculated as the actual sales divided by the percentage of capacity at
which fixed assets were operated.
Target Fixed Assets to Sales Ratio is calculated by dividing the actual fixed assets by
sales at full capacity level.
The payout ratio of the company was 60% and profit margin (
M
) is 5%. The new sales
level (
) is $2,000. The following are the figures shown as below:
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Therefore, additional fund needed is
.
Capacity Sales at existing level of Fixed Assets:
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New Sales level is $2,000, which is within the company’s full capacity level. Therefore,
no additional investment in fixed assets is required and it will remain same for the new
sales level.
Since accounts payable and accruals are both spontaneous liabilities, therefore it will
change in the same manner as the sales change.
Retained Earnings will increase by $40 at new Sales level.
5-7
Based on the information in Problem 5-6, assume that Booth has just completed a review its net
operating working capital policies and found that it can reduce its DSO to 60 and achieve an inventory
turnover of 4.57X without impacting sales or profits, based on a cost of goods sold of $1,600.
a.
Recalculate the additional funds Booth requires to achieve its growth target.
b.
Assume Booth needed $360 in additional funds for Problem 5-6. Using your answer in part a, how
much less will Booth pay in future interest costs, annually, given a 9% interest rate on all additional funds
borrowed?
a.
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Accounts receivable for 2016 = $2,000/365 × 60 = $329.
Inventory = $1,600/4.57 = $350
Capacity sales = Sales/0.5 = $1,000/0.5 = $2,000.
Target FA/S ratio = $500/$2,000 = 0.25.
Target FA = 0.25($2,000) = $500 = Required FA. Since the firm currently has $500 of
fixed assets, no new fixed assets will be required.
Addition to RE = M(S
1
)(1
–
Payout ratio) = 0.05($2,000)(0.4) = $40.
b.
Change in incremental borrowing is $121 ($360
–
$239) and the change in
interest expense is $121 × 0.09 = $10.89 annually.
WHY DOES SHAREHOLDER PREFER DEBT FINANCING?
PT1: Thinking long term
Because as company is taking on more debt, it indicates that there is a huge potential
for growth. Therefore, this will in turn benefit the shareholders.
Why not equity financing? Because as they are pulling money from shareholders, the
power is diluted.
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WHY IS NET WORKING CAPITAL IMPORTANT?
ANSWER: because it lets you know how much cash in hand to run the operation
Hello!
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