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 76QP
Calculating Growing
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4.13 Calculating Annuity Present Value An investment offers $5,200 per year for 15 years, with the first payment occurring one year from now. If the required return is 7 percent, what is the value of the investment? What would the value be if the payments occurred for 40 years? For 75 years? Forever?
2
a) Suppose you receive $10,000 and have an opportunity to earn a real rate of return of 10% (assume known and constant forever). Using the definition of income proposed by John Hicks, what is your annual sustainable income? In other words, what amount can you spend every year forever?
b) What is the present value of an annual payment of $10,000 forever, assuming a 5% real discount rate?
$9,523.80
$200,000
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Going back to the jeep problem, in 10 years, you'd like to have 200,000 to buy that jeepney but you only have 111,670. At what rate must your money be compounded annually for it to grow to 200,000 in 10 years?
Future value solving for N
Let's assume that the price of a new jeep will always be 200,000. You only have 77,520. How many years will it take for your initial investment to grow 200,000 if it is invested at 9% compounded annually?
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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- 11. You buy a new piece of equipment for $11,778, and you receive a cash inflow of $2,000 per year for 10 years. What is the internal rate of return?arrow_forwardQuestion 8 Suppose a 65-year-old is contemplating retirement, expects to live for another 20 years, has a GHȼ1 million nest egg, expects the investments to earn a nominal annual rate of 6%, expects inflation to average 3% per year, and wants to withdraw a constant real amount annually over the next 20 years so as to maintain a constant standard of living. If the first withdrawal is to be made today, what is the amount of that initial withdrawal?arrow_forward8 [Question text] You are considering to invest in a savings plan. The plan offers a rate of return of 8 percent per year. The plan requires you to save RM1,500, RM1,250, and RM6,400 at the end of each year for the next three years, respectively, how much do you need to save today? Select one: A. RM7,541 B. RM7,203 C. RM8,449 D. RM11,623arrow_forward
- QUESTION ONE We sometimes need to find out how long it will take a sum of money (or anything else to grow to some specified amount. For example, if a company's sales are growing at a rate of 20% per year, how long will it take sales to double? If you want an investment to double in 3 years, what interest rate must it earn? What is the difference between an ordinary annuity and an annuity due?arrow_forward11. How long does it take for your money to grow to ten times its original value if the interest rate of 6% per year? use excelarrow_forwardQuestion 2B You need to save aside $320,000 for your retirement plan 10 years from now. You have a saving of $120,000 and is consider to put exactly an equal amount of money into Sustainable Investment Fund at the end of each month for 10 years to get 200 000 you still short of now. The fund is offering a rate of return 10.5 % per year, compounding monthly. Required: Calculate the monthly payment you need to contribute into Sustainable Investment Fund to get $200,000 after 10 years? If you change to contribute $1,000/month to that fund at the beginning of each month, how much money you would have in your account after 10 years? You are offered an investment that will pay $24 000 for the first year and then it will increase 4% each year. What is present value of this investment if the rate of return 13.5% applies?arrow_forward
- 5. Solve the following two independent scenarios: A. How much must be invested now to receive $30,000 for 10 years if the first $30,000 is received one year from now and the rate is 8%? Future Value PV FV Tables Factor Present Value ? ? ? PLEASE NOTE: All FV Factors will be rounded to three decimal places (i.e. 1.234). All dollar amounts will be with "$" and commas as needed and rounded to whole dollars (i.e. $12,345). Using the appropriate EXCEL spreadsheet, the answer = ? PLEASE NOTE: The dollar amount will be with "$" and commas as needed and rounded to two decimal places (i.e. $12,345.67). B. Project A costs $5,000 and will generate annual after-tax net cash inflows of $1,800 for five years. What is the NPV using 8% as the discount rate? Future Value PV FV Tables Factor Net Present Value ? ? ? PLEASE NOTE: All FV Factors will be rounded to three decimal places (i.e. 1.234). All dollar amounts will be with "$" and commas as needed and rounded to whole dollars (i.e.…arrow_forward8. How much do you need to save at the end of each year to receive 100 million in 10 years? The interest rate is 10%arrow_forwardJUST NEED SUBPARTS D AND E You are trying to decide how much to save for retirement. Assume you plan to save $4,000 per year with the first investment made one year from now. You think you can earn 7.0% per year on your investments and you plan to retire in 29 years, immediately after making your last $4,000 investment. a. How much will you have in your retirement account on the day you retire? b. If, instead of investing $4,000 per year, you wanted to make one lump-sum investment today for your retirement that will result in the same retirement saving, how much would that lump sum need to be? c. If you hope to live for 28 years in retirement, how much can you withdraw every year in retirement (starting one year after retirement) so that you will just exhaust your savings with the 28th withdrawal (assume your savings will continue to earn 7.0% in retirement)? d. If, instead, you decide to withdraw $70,000 per year in retirement (again with the first withdrawal one…arrow_forward
- 5) Suppose you will need $12,000 in 3 years. How much must you invest per month in order to have $12,000 if money earns an annual rate 6% compounded monthly? Use excelarrow_forward6. You decide you want to start investing for your retirement and you want to have $650,000. If you save $100 a month in an account that averages a 10% annual rate of return, will you have enough money in 25 years? (Hint: this formula was introduced in Section 1)arrow_forwardQ10. We want to have $100,000 in 10 years for a Wedding. If we can make an investment paying 6% compounded quarterly, what single deposit made now will produce this future value? What is the name of the Table that we would use? 11. For the above problem: What Row would we be in? 12. For the above problem What Column would we be in? 13. What is the “factor” for this problem? 14. What is the answer to this problem?arrow_forward
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