Fundamentals of Corporate Finance
11th Edition
ISBN: 9780077861704
Author: Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Bradford D Jordan Professor
Publisher: McGraw-Hill Education
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Chapter 6, Problem 3QP
Summary Introduction
To calculate: The
Introduction:
The future value of cash flow is the accumulated value including interest after a specified period. It is utilized to take effective decision at present or to assess the investment potentiality.
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3. Future Value and Multipie Cash Flows. Rally, Inc., has identified an
investment project with the following cash flows. If the discount rate is 8 percent,
what is the future value of these cash flows in Year 4? What is the future value at a
discount rate of 11 percent? At 24 percent?
13
Year
Cash Flow
1
$ 700
900
3
1,400
2,000
4
Comparing Investment Criteria [L01,2,3,5,7] Consider the following two mutually exclusive projects:
Year Cash Flow (A) Cash Flow (B)
0 -$300,000 -$40,000
1 20,000 19,000
2 50,000 12,000
3 50,000 18,000
4 390,000 10,500
Whichever project you choose, if any, you require a 15 per cent return on your investment.
a. If you apply the payback criterion, which will you choose? Why?
b. If you apply the discounted payback criterion, which investment will you choose? Why?
c. If you apply the NPV criterion, which investment will you choose? Why?
d. If you apply the IRR criterion, which investment will you choose? Why?
e. If you apply the profitability index criterion, which investment will you choose? Why?
f. Based on your answers in (a) through (e), which project will you finally choose? Why?
Please explain your calculations and conclusions
Year Cashflow Interest rate 11%
0 (294,000)
1 106,448
2 97,628
3 88,808
4 127,518
Calculate the Project's NPV, IRR, MIRR, and payback. Do these indicators suggest that the project should be accepted? Explain
Chapter 6 Solutions
Fundamentals of Corporate Finance
Ch. 6.1 - Prob. 6.1ACQCh. 6.1 - Prob. 6.1BCQCh. 6.1 - Unless we are explicitly told otherwise, what do...Ch. 6.2 - In general, what is the present value of an...Ch. 6.2 - In general, what is the present value of a...Ch. 6.3 - If an interest rate is given as 12 percent...Ch. 6.3 - What is an APR? What is an EAR? Are they the same...Ch. 6.3 - Prob. 6.3CCQCh. 6.3 - What does continuous compounding mean?Ch. 6.4 - What is a pure discount loan? An interest-only...
Ch. 6.4 - What does it mean to amortize a loan?Ch. 6.4 - Prob. 6.4CCQCh. 6 - Two years ago, you opened an investment account...Ch. 6 - A stream of equal payments that occur at the...Ch. 6 - Your credit card charges interest of 1.2 percent...Ch. 6 - What type of loan is repaid in a single lump sum?Ch. 6 - Annuity Factors [LO1] There are four pieces to an...Ch. 6 - Prob. 2CRCTCh. 6 - Prob. 3CRCTCh. 6 - Present Value [LO1] What do you think about the...Ch. 6 - Prob. 5CRCTCh. 6 - Prob. 6CRCTCh. 6 - APR and EAR [LO4] Should lending laws be changed...Ch. 6 - Prob. 8CRCTCh. 6 - Prob. 9CRCTCh. 6 - Prob. 10CRCTCh. 6 - Prob. 11CRCTCh. 6 - Prob. 12CRCTCh. 6 - Prob. 1QPCh. 6 - Prob. 2QPCh. 6 - Prob. 3QPCh. 6 - Prob. 4QPCh. 6 - Calculating Annuity Cash Flows [LO1] If you put up...Ch. 6 - Calculating Annuity Values [LO1] Your company will...Ch. 6 - Calculating Annuity Values [LO1] If you deposit...Ch. 6 - Calculating Annuity Values [LO1] You want to have...Ch. 6 - Prob. 9QPCh. 6 - Calculating Perpetuity Values [LO1] The Maybe Pay...Ch. 6 - Prob. 11QPCh. 6 - Prob. 12QPCh. 6 - Calculating APR [LO4] Find the APR, or stated...Ch. 6 - Calculating EAR [LO4] First National Bank charges...Ch. 6 - Prob. 15QPCh. 6 - Prob. 16QPCh. 6 - Prob. 17QPCh. 6 - Calculating Present Values [LO1] An investment...Ch. 6 - EAR versus APR [LO4] Big Doms Pawn Shop charges an...Ch. 6 - Prob. 20QPCh. 6 - Calculating Number of Periods [LO3] One of your...Ch. 6 - Calculating EAR [LO4] Friendlys Quick Loans, Inc.,...Ch. 6 - Prob. 23QPCh. 6 - Calculating Annuity Future Values [LO1] You are...Ch. 6 - Calculating Annuity Future Values [LO1] In the...Ch. 6 - Prob. 26QPCh. 6 - Prob. 27QPCh. 6 - Prob. 28QPCh. 6 - Simple Interest versus Compound Interest [LO4]...Ch. 6 - Prob. 30QPCh. 6 - Prob. 31QPCh. 6 - Prob. 32QPCh. 6 - Calculating Future Values [LO1] You have an...Ch. 6 - Calculating Annuity Payments [LO1] You want to be...Ch. 6 - Prob. 35QPCh. 6 - Prob. 36QPCh. 6 - Prob. 37QPCh. 6 - Growing Annuity [LO1] Your job pays you only once...Ch. 6 - Prob. 39QPCh. 6 - Calculating the Number of Payments [LO2] Youre...Ch. 6 - Prob. 41QPCh. 6 - Prob. 42QPCh. 6 - Prob. 43QPCh. 6 - Prob. 44QPCh. 6 - Prob. 45QPCh. 6 - Prob. 46QPCh. 6 - Prob. 47QPCh. 6 - Prob. 48QPCh. 6 - Prob. 49QPCh. 6 - Calculating Present Value of a Perpetuity [LO1]...Ch. 6 - Prob. 51QPCh. 6 - Prob. 52QPCh. 6 - Calculating Annuities Due [LO1] Suppose you are...Ch. 6 - Prob. 54QPCh. 6 - Prob. 55QPCh. 6 - Prob. 56QPCh. 6 - Prob. 57QPCh. 6 - Prob. 58QPCh. 6 - Prob. 59QPCh. 6 - Prob. 60QPCh. 6 - Calculating Annuity Values [LO1] You are serving...Ch. 6 - Prob. 62QPCh. 6 - Calculating EAR with Points [LO4] The interest...Ch. 6 - Prob. 64QPCh. 6 - Prob. 65QPCh. 6 - Prob. 66QPCh. 6 - Prob. 67QPCh. 6 - Calculating Annuity Payments [LO1] This is a...Ch. 6 - Prob. 69QPCh. 6 - Prob. 70QPCh. 6 - Prob. 71QPCh. 6 - Calculating Interest Rates [LO4] A financial...Ch. 6 - Prob. 73QPCh. 6 - Prob. 74QPCh. 6 - Ordinary Annuities and Annuities Due [LO1] As...Ch. 6 - Calculating Growing Annuities [LO1] You have 40...Ch. 6 - Prob. 77QPCh. 6 - Prob. 78QPCh. 6 - Prob. 79QPCh. 6 - Prob. 80QPCh. 6 - Prob. 1MCh. 6 - Prob. 2MCh. 6 - Prob. 3MCh. 6 - Prob. 4MCh. 6 - Prob. 5MCh. 6 - Prob. 6M
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- 56 Fuente, Incorporated, has identified an Investment project with the following cash flows. Year Cash Flow 1 2 3 4 $625 950 1.125 1,400 a.If the discount rate is 9 percent, what is the future value of these cash flows in year 4? Future value at 9% b.What is the future value at a discount rate of 18 percent? Future value at 18% c.What is the future value at discount rate of 27 percent? Future value at 27%arrow_forward4. Calculating Discounted Payback [LO3] An investment project has annual cash inflows of $2,800, $3,700, $5,100, and $4,300, for the next four years, respectively. The discount rate is 11 percent. What is the discounted payback period for these cash flows if the initial cost is $5,200? What if the initial cost is $6,40o? What if it is $10,400?arrow_forward17: Consider the following 2 mutually exclusive projects: Year Cash flow A Cash Flow B 0 -291000 -41600 1 37000 20000 2 55000 17600 3 55000 17200 4 366000 14000 Whichever project you choose, if any, you require a return of 11% on your investment. If you apply the payback criterion, which investment will you choose? Why? If you apply the discounted payback criterion, which investment will you choose? Why? If you apply the NPV criterion, which investment will you choose? Why? If you apply the IRR criterion, which investment will you choose? Why? If you apply the profitability index criterion, which investment will you choose? Why? Based on your answers in parts A through E, which project will you finally choose? Why?arrow_forward
- Consider the following two projects: Cash flows Project A Project B C0�0 −$ 240 −$ 240 C1�1 100 123 C2�2 100 123 C3�3 100 123 C4�4 100 a. If the opportunity cost of capital is 8%, which of these two projects would you accept (A, B, or both)? b. Suppose that you can choose only one of these two projects. Which would you choose? The discount rate is still 8%. c. Which one would you choose if the cost of capital is 16%? d. What is the payback period of each project? e. Is the project with the shortest payback period also the one with the highest NPV? f. What are the internal rates of return on the two projects? g. Does the IRR rule in this case give the same answer as NPV? h. If the opportunity cost of capital is 8%, what is the profitability index for each project? i. Is the project with the highest profitability index also the one with the highest NPV? j. Which measure should you use to choose between the projects?arrow_forwardYou are considering two projects with the following cash flows: Project X Project Y Year 1 $7,000 $5,000 Year 2 6,000 4,000 Year 3 4,000 3,000 Year 4 1,000 6,000 Which of the following statements are true concerning these two projects? I. Both projects have the same future value at the end of year 4, given a positive rate of return. II. Project X has a higher present value than Project Y, given a positive discount rate. III. Both projects have the same future value given a zero rate of return. IV. Project Y has a higher present value than Project X, given a positive discount rate. Multiple choice options: II only I and III only II and III only II and IV only I, III, and IV onlyarrow_forwardConsider cash flows Year 0: -6900 Y1: 1700 Y2: 2900 Y3: 2900 Y4: 3500 What is the profitability index for this project if the return is 10%arrow_forward
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- 20 Suppose your firm is considering two mutually exclusive, required projects with the cash flows shown below. The required rate of return on projects of both of their risk class is 11 percent, and that the maximum allowable payback and discounted payback statistic for the projects are 2 and 3 years, respectively. 0 2 1 -38,000 28,000 48,000 -48,000 28,000 38,000 Time Project A Cash Flow Project B Cash Flow Use the NPV decision rule to evaluate these projects; which one(s) should be accepted or rejected? 19,000 68,000arrow_forward2. Calculating Payback [LO2] An investment project provides cash inflows of $745 per year for eight years. What is the project payback period if the initial cost is $1,700? What if the initial cost is $3,30o? What if it is $6,100?arrow_forwardA project has the following cash flows: Year Cash Flows 0 $ 128,200 12 1 2 3 4 49,400 63,800 51,600 28,100 The required return is 8.7 percent. What is the profitability index for this project? Multiple Choice 1.142 1.003 .803 1.038arrow_forward
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