Bundle: Fundamentals of Financial Management, Concise Edition, Loose-leaf Version, 9th + Aplia, 1 term Printed Access Card
9th Edition
ISBN: 9781337089241
Author: Eugene F. Brigham, Joel F. Houston
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 5, Problem 18P
a.
Summary Introduction
To calculate:
Present value of cash flow:
It is also called as discounted value. It defines that amount of money that invested at a given rate of interest will increases the amount of future cash flow at that particular time in future.
a.
Expert Solution
Explanation of Solution
Calculation of present value of cash flow stream at 5% discounting rate
| Year | Discounting Rate | Cash Flows | Present value of cash flows | ||
| Stream A | Stream B |
Stream A (B×C) |
Stream B (B×D) | ||
| A | B | C | D | E | F |
| 0 | 1.000000 | 0 | 0 | 0 | 0 |
| 1 | 0.952381 | 150 | 250 | 142.8572 | 238.0953 |
| 2 | 0.907029 | 450 | 450 | 408.1631 | 408.1631 |
| 3 | 0.863838 | 450 | 450 | 388.7271 | 388.7271 |
| 4 | 0.822702 | 450 | 450 | 370.2159 | 370.2159 |
| 5 | 0.783526 | 250 | 150 | 195.8815 | 117.5289 |
| Present value for Stream A and Stream B | 1505.845 | 1522.73 | |||
Table (1)
Working Note to calculate discounting rate
Formula to calculate discounting rate for year 1
Formula to calculate discounting rate for year 2
Formula to calculate discounting rate for year 3
Formula to calculate discounting rate for year 4
Formula to calculate discounting rate for year 5
Conclusion
Present value for Stream A and Stream B is $1,505.84 and $1,522.73, respectively.
b.
Summary Introduction
To calculate: Present value of cash flow stream at 0% discounting rate.
Present value of cash flow:
It is also called as discounted value. It defines that amount of money that invested at a given rate of interest will increases the amount of future cash flow at that particular time in future.
b.
Expert Solution
Explanation of Solution
Calculation of present value of cash flow stream at 0% discounting rate
| Year | Discounting Rate | Cash Flows | Present value of cash flows | ||
| Stream A | Stream B |
Stream A
|
Stream B
| ||
| A | B | C | D | E | F |
| 0 | 1.000000 | 0 | 0 | 0 | 0 |
| 1 | 1.000000 | 150 | 250 | 150 | 250 |
| 2 | 1.000000 | 450 | 450 | 450 | 450 |
| 3 | 1.000000 | 450 | 450 |
450 |
450 |
| 4 | 1.000000 | 450 | 450 | 450 | 450 |
| 5 | 1.000000 | 250 | 150 | 250 | 150 |
| Present value for Stream A and Stream B | 1,750 | 1,750 | |||
Table (2)
Working Note to calculate discounting rate
Formula to calculate discounting rate for year 1
Formula to calculate discounting rate for year 2
Formula to calculate discounting rate for year 3
Formula to calculate discounting rate for year 4
Formula to calculate discounting rate for year 5
Conclusion
Present value for Stream A and Stream B is $1,750 and $1,750 respectively.
Want to see more full solutions like this?
Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
Larry Davis borrows $80,000 at 14 percent interest toward the purchase of a home. His mortgage is for 25 years.
a. How much will his annual payments be? (Although home payments are usually on a monthly basis, we shall do our analysis on an annual basis for ease of computation. We will get a reasonably accurate answer.)
b. How much interest will he pay over the life of the loan?
c. How much should be willing to pay to get out of a 14 percent mortgage and into a 10 percent mortgage with 25 years remaining on the mortgage? Assume current interest rates are 10 percent. Carefully consider the time value of money. Disregard taxes.
You are chairperson of the investment fund for the local closet. You are asked to set up a fund of semiannual payments to be compounded semiannually to accumulate a sum of $250,000 after nine years at a 10 percent annual rate (18 payments). The first payment into the fund is to take place six months from today, and the last payment is to take place at the end of the ninth year. Determine how much the semiannual payment should be. (a) On the day, after the sixth payment is made (the beginning of the fourth year), the interest rate goes up to a 12 percent annual rate, and you can earn a 12 percent annual rate on funds that have been accumulated as well as all future payments into the funds. Interest is to be compounded semiannually on all funds. Determine how much the revised semiannual payments should be after this rate change (there are 12 payments and compounding dates). The next payment will be in the middle of the fourth year.
If your Uncle borrows $60,000 from the bank at 10 percent interest over the seven-year life of the loan, what equal annual payments must be made to discharge the loan, plus pay the bank its required rate of interest? How much of his first payment will be applied to interest? To principal? How much of his second payment will be applied to each?
Chapter 5 Solutions
Bundle: Fundamentals of Financial Management, Concise Edition, Loose-leaf Version, 9th + Aplia, 1 term Printed Access Card
Ch. 5 - Prob. 1QCh. 5 - Explain whether the following statement is true or...Ch. 5 - If a firms earnings per share grew from 1 to 2...Ch. 5 - Would you rather have a savings account that pays...Ch. 5 - Prob. 5QCh. 5 - Prob. 6QCh. 5 - Banks and other lenders are required to disclose a...Ch. 5 - Prob. 8QCh. 5 - Prob. 1PCh. 5 - PRESENT VALUE What is the present value of a...
Ch. 5 - FINDING THE REQUIRED INTEREST RATE Your parents...Ch. 5 - Prob. 4PCh. 5 - TIME TO REACH A FINANCIAL GOAL You have 33,556.25...Ch. 5 - Prob. 6PCh. 5 - PRESENT AND FUTURE VALUES OF A CASH FLOW STREAM An...Ch. 5 - LOAN AMORTIZATION AND EAR You want to buy a car,...Ch. 5 - Prob. 9PCh. 5 - PRESENT AND FUTURE VALUES FOR DIFFERENT INTEREST...Ch. 5 - GROWTH RATES Sawyer Corporations 2015 sales were 5...Ch. 5 - EFFECTIVE RATE OF INTEREST Find the interest rates...Ch. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - PRESENT VALUE OF AN ANNUITY Find the present...Ch. 5 - Prob. 16PCh. 5 - EFFECTIVE INTEREST RATE You borrow 230,000; the...Ch. 5 - Prob. 18PCh. 5 - FUTURE VALUE OF AN ANNUITY Your client is 26 years...Ch. 5 - Prob. 20PCh. 5 - EVALUATING LUMP SUMS AND ANNUITIES Kristina just...Ch. 5 - LOAN AMORTIZATION Jan sold her house on December...Ch. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - PV AND LOAN ELIGIBILITY You have saved 4,000 for a...Ch. 5 - EFFECTIVE VERSUS NOMINAL INTEREST RATES Bank A...Ch. 5 - NOMINAL INTEREST RATE AND EXTENDING CREDIT As a...Ch. 5 - BUILDING CREDIT COST INTO PRICES Your firm sells...Ch. 5 - Prob. 30PCh. 5 - REQUIRED LUMP SUM PAYMENT Starting next year, you...Ch. 5 - REACHING A FINANCIAL GOAL Six years from today you...Ch. 5 - FV OF UNEVEN CASH FLOW You want to buy a house...Ch. 5 - AMORTIZATION SCHEDULE a. Set up an amortization...Ch. 5 - AMORTIZATION SCHEDULE WITH A BALLOON PAYMENT You...Ch. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - REQUIRED ANNUITY PAYMENTS A father is now planning...Ch. 5 - Prob. 41SPCh. 5 - Prob. 42IC
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.Similar questions
- Q1: You are an analyst in charge of valuing common stocks. You have been asked to value two stocks. The first stock NEWER Inc. just paid a dividend of $6.00. The dividend is expected to increase by 60%, 45%, 30% and 15% per year, respectively, in the next four years. Thereafter, the dividend will increase by 4% per year in perpetuity. Calculate NEWER’s expected dividend for t = 1, 2, 3, 4 and 5.The required rate of return for NEWER stock is 14% compounded annually.What is NEWER’s stock price?The second stock is OLDER Inc. OLDER Inc. will pay its first dividend of $10.00 three (3) years from today. The dividend will increase by 30% per year for the following four (4) years after its first dividend payment. Thereafter, the dividend will increase by 3% per year in perpetuity. Calculate OLDER’s expected dividend for t = 1, 2, 3, 4, 5, 6, 7 and 8.The required rate of return for OLDER stock is 16% compounded annually.What is OLDER’s stock price?Now assume that both stocks have a required…arrow_forwardQ1: Blossom is 30 years old. She plans on retiring in 25 years, at the age of 55. She believes she will live until she is 105. In order to live comfortably, she needs a substantial retirement income. She wants to receive a weekly income of $5,000 during retirement. The payments will be made at the beginning of each week during her retirement. Also, Blossom has pledged to make an annual donation to her favorite charity during her retirement. The payments will be made at the end of each year. There will be a total of 50 annual payments to the charity. The first annual payment will be for $20,000. Blossom wants the annual payments to increase by 3% per year. The payments will end when she dies. In addition, she would like to establish a scholarship at Toronto Metropolitan University. The first payment would be $80,000 and would be made 3 years after she retires. Thereafter, the scholarship payments will be made every year. She wants the payments to continue after her death, therefore…arrow_forwardQ1: Blossom is 30 years old. She plans on retiring in 25 years, at the age of 55. She believes she will live until she is 105. In order to live comfortably, she needs a substantial retirement income. She wants to receive a weekly income of $5,000 during retirement. The payments will be made at the beginning of each week during her retirement. Also, Blossom has pledged to make an annual donation to her favorite charity during her retirement. The payments will be made at the end of each year. There will be a total of 50 annual payments to the charity. The first annual payment will be for $20,000. Blossom wants the annual payments to increase by 3% per year. The payments will end when she dies. In addition, she would like to establish a scholarship at Toronto Metropolitan University. The first payment would be $80,000 and would be made 3 years after she retires. Thereafter, the scholarship payments will be made every year. She wants the payments to continue after her death, therefore…arrow_forward
- Jerome Moore invests in a stock that will pay dividends of $2.00 at the end of the first year; $2.20 at the end of the second year; and $2.40 at the end of the third year. also, he believes that at the end of the third year he will be able to sell the stock for $33. what is the present value of all future benefits if a discount rate of 11 percent is applied?arrow_forwardQ1: You are an analyst in charge of valuing common stocks. You have been asked to value two stocks. The first stock NEWER Inc. just paid a dividend of $6.00. The dividend is expected to increase by 60%, 45%, 30% and 15% per year, respectively, in the next four years. Thereafter, the dividend will increase by 4% per year in perpetuity. Calculate NEWER’s expected dividend for t = 1, 2, 3, 4 and 5.The required rate of return for NEWER stock is 14% compounded annually.What is NEWER’s stock price?The second stock is OLDER Inc. OLDER Inc. will pay its first dividend of $10.00 three (3) years from today. The dividend will increase by 30% per year for the following four (4) years after its first dividend payment. Thereafter, the dividend will increase by 3% per year in perpetuity. Calculate OLDER’s expected dividend for t = 1, 2, 3, 4, 5, 6, 7 and 8.The required rate of return for OLDER stock is 16% compounded annually.What is OLDER’s stock price?Now assume that both stocks have a required…arrow_forwardQ1: You are an analyst in charge of valuing common stocks. You have been asked to value two stocks. The first stock NEWER Inc. just paid a dividend of $6.00. The dividend is expected to increase by 60%, 45%, 30% and 15% per year, respectively, in the next four years. Thereafter, the dividend will increase by 4% per year in perpetuity. Calculate NEWER’s expected dividend for t = 1, 2, 3, 4 and 5.The required rate of return for NEWER stock is 14% compounded annually.What is NEWER’s stock price?The second stock is OLDER Inc. OLDER Inc. will pay its first dividend of $10.00 three (3) years from today. The dividend will increase by 30% per year for the following four (4) years after its first dividend payment. Thereafter, the dividend will increase by 3% per year in perpetuity. Calculate OLDER’s expected dividend for t = 1, 2, 3, 4, 5, 6, 7 and 8.The required rate of return for OLDER stock is 16% compounded annually.What is OLDER’s stock price?Now assume that both stocks have a required…arrow_forward
- Q1: Blossom is 30 years old. She plans on retiring in 25 years, at the age of 55. She believes she will live until she is 105. In order to live comfortably, she needs a substantial retirement income. She wants to receive a weekly income of $5,000 during retirement. The payments will be made at the beginning of each week during her retirement. Also, Blossom has pledged to make an annual donation to her favorite charity during her retirement. The payments will be made at the end of each year. There will be a total of 50 annual payments to the charity. The first annual payment will be for $20,000. Blossom wants the annual payments to increase by 3% per year. The payments will end when she dies. In addition, she would like to establish a scholarship at Toronto Metropolitan University. The first payment would be $80,000 and would be made 3 years after she retires. Thereafter, the scholarship payments will be made every year. She wants the payments to continue after her death, therefore…arrow_forwardTrue and False 1. There are no more than two separate phases to decision making and problem solving. 2. Every manager always has complete control over all inputs and factors. 3. Opportunity cost is only considered by accountants as a way to calculate profits 4. Standard error is always used to evaluate the overall strength of the regression model 5. The t-Stat is used in a similar way as the P-valued is used 6. The P-value is used as R-square is used. 7. R-square is used to evaluate the overall strength of the model. 8. Defining the problem is one of the last things that a manager considers Interpreting Regression Printouts (very brief answers) R² = .859 Intercept T N = 51 Coefficients 13.9 F= 306.5 Standard Error .139 SER=.1036 t Stat P value 99.8 0 .275 .0157 17.5 0 The above table examines the relationship between the nunber, of poor central city households in the U.S. and changes in the costs of college tuition from 1967 to 2019. 9. What is the direction of this relationship? 10.…arrow_forwardCARS Auto Co. Ltd – Alpha Branch Unadjusted Trial Balance December 31, 2024 A/C NAME TRIAL BALANCE DR CR cash 240,000 Accounts receivables 120,000 supplies 41,100 Lease hold improvement 200,000 Accumulated depreciation – Lease hold improvement 80,000 Furniture and fixtures 800,000 Accumulated depreciation - furniture and fixtures 380,000 Accounts payable 30,000 Salary payable Unearned service revenue 44,100 Cars, capital 649,000 Cars, withdrawal 165,100 Service revenue 450,000 Salary expense 48,400 Supplies expense Rent expense Depreciation expense – leasehold improvement Depreciation expense – furniture and fixtures Advertising expense 18,500 1,633,100 1,633,100 Data presented for the adjusting entries include the following: Rent expense of $160,000…arrow_forward
- Scenario: Jim played football for a famous club but, due to a long term injury and on medical advice, he retired from the game in January 2007. The club, grateful for Jim’s contribution to their success over the years, held a testimonial match in Jim’s honour. Jim received €150,000 from this testimonial match and he decided to open a shop selling sporting goods with the proceeds. On 1 May 2007, Jim opened a business bank account into which he paid the €150,000. In the first year of trading, he undertook the following transactions: 2 May 2007: Jim signed a five year lease on a shop in the town centre and paid €50,000 to cover the lease for the whole five years 3 May 2007: Jim paid shop fitters €10,000 for shelves and racking and for the electronic till in which to record sales. Jim expects these assets will also have a useful life of 5 years. He hired a part time assistant at a cost of €250 per month paid monthly by cheque from the business bank account. While his main business is to…arrow_forwardHelp with questions 7-24arrow_forwardCARS Auto Co. Ltd – Alpha Branch Unadjusted Trial Balance December 31, 2024 Data presented for the adjusting entries include the following: Rent expense of $160,000 paid for the year was debited to CARS withdrawal account because of an oversight on the part of the Data Entry Clerk and this remained unadjusted as at year end. The company paid $24,330 on account for a credit purchase made earlier in the year but this entry was not recorded at year end. Supplies on hand at year end, $1,100. Depreciation on Leasehold improvement, $20,000. Depreciation on Furniture and Fixtures, $80,000. Salaries owed but not yet paid, $64,450. Accrued service revenue, $65,420. $44,000 of the unearned service revenue has been earned. Requirements: Explain why adjusting entries are required. Prepare the adjusting journal entries at December 31st, 2024. Open the ledger accounts in T-account form with their unadjusted balances then post the adjusting entries to the affected accounts, then balance off each…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Accounting Volume 2AccountingISBN:9781947172609Author:OpenStaxPublisher:OpenStax College
Managerial Accounting: The Cornerstone of Busines...AccountingISBN:9781337115773Author:Maryanne M. Mowen, Don R. Hansen, Dan L. HeitgerPublisher:Cengage Learning
EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENT
Intermediate Financial Management (MindTap Course...FinanceISBN:9781337395083Author:Eugene F. Brigham, Phillip R. DavesPublisher:Cengage Learning
Principles of Accounting Volume 2
Accounting
ISBN:9781947172609
Author:OpenStax
Publisher:OpenStax College
Managerial Accounting: The Cornerstone of Busines...
Accounting
ISBN:9781337115773
Author:Maryanne M. Mowen, Don R. Hansen, Dan L. Heitger
Publisher:Cengage Learning
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:9781337514835
Author:MOYER
Publisher:CENGAGE LEARNING - CONSIGNMENT
Intermediate Financial Management (MindTap Course...
Finance
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Cengage Learning