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 4QP
Summary Introduction
To calculate:The investment value for the payments of 40 years, 70 years, and forever
Introduction:
The present value of the cash flows in the future with a particular discount rate is the present value of
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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?
Question 6
An investment offers GH¢ 2,250 per year for 15 years, with the first payment occurring one year from now. If the required return is 10 percent, what is the value of the investment? What would the value be if the payments occurred for 40 years? For 75 years? Forever?
How much would you be willing to pay today for an investment that would return P1,250 each year for the next 10 years, assuming a discount rate of 12 percent? A. P4,062.75B. P5,062.75C. P6,062.75D. P7,062.75E. None of the above
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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- 2. Find the future value of OMR10,000 invested now after five years if the annual interest rate is 8 percent. a. What would be the future value if the interest rate is a simple interest rate? b. What would be the future value if the interest rate is a compound interest rate?arrow_forward3.12 Suppose the spot rates of interest for investment horizons of 1 to 5 years are 4%, and for 6 to 10 years are 5%. (b) Calculate the present value of an annuity-immediate of $100 over 10 years.arrow_forward5. Present value of annuities and annuity payments The present value of an annuity is the sum of the discounted value of all future cash flows. You have the opportunity to invest in several annuities. Which of the following 10-year annuities has the greatest present value (PV)? Assume that all annuities earn the same positive interest rate. An annuity that pays $500 at the end of every six months An annuity that pays $1,000 at the beginning of each year An annuity that pays $1,000 at the end of each year An annuity that pays $500 at the beginning of every six months You bought an annuity selling at $17,390.08 today that promises to make equal payments at the beginning of each year for the next eight years (N). If the annuity’s appropriate interest rate (I) remains at 5.00% during this time, then the value of the annual annuity payment (PMT) is . You just won the lottery. Congratulations! The jackpot is $60,000,000, paid in eight…arrow_forward
- 4. If you invest $12,000.00 today, how much will you have in the future under each of the following independent scenarios: 10 years at 9% 8 years at 12% 14 years at 15% 24 years at 10% Present Value (PV) Rate Time (Years) Future Value (FV) A $12,000.00 9% 10 ? B $12,000.00 12% 8 ? C $12,000.00 15% 14 ? D $12,000.00 10% 24 ? PLEASE NOTE: All dollar amounts will be with "$" and commas as needed and rounded to two decimal places (i.e. $12,345.67). Use the future value of $1 table in the Appendix B PV FV Tables Appendix B PV FV Tablesand verify that your answers above are correct: PV Rate Time (Years) FV Factor (from Table) Future Value (FV) A $12,000.00 9% 10 ? ? B $12,000.00 12% 8 ? ? C $12,000.00 15% 14 ? ? D $12,000.00 10% 24 ? ? PLEASE NOTE: All FV Factors will be rounded to three decimal places (i.e. 1.234). All dollar amounts will be with "$" and commas as needed and rounded to two decimal places (i.e. $12,345.67).arrow_forward8. How much would you invest today in order to receive $30,000 in each of the following independent scenarios: 10 years at 9% 8 years at 12% 14 years at 15% 24 years at 10% complete the following table: Present Value (PV) Rate Time (Years) Future Value (FV) A ? 9% 10 $30,000.00 B ? 12% 8 $30,000.00 C ? 15% 14 $30,000.00 D ? 10% 24 $30,000.00 PLEASE NOTE: All dollar amounts will be with "$" and commas as needed and rounded to two decimal places (i.e. $12,345.67). Use the present value of $1 table in the verify that your answers above are correct: Future Value (FV) Rate Time (Years) FV Factor (from Table) Present Value (PV) A $30,000.00 9% 10 ? ? B $30,000.00 12% 8 ? ? C $30,000.00 15% 14 ? ? D $30,000.00 10% 24 ? ? PLEASE NOTE: All PV Factors will be rounded to three decimal places (i.e. 1.234). All dollar amounts will be with "$" and commas as needed and rounded to two decimal places (i.e. $12,345.67).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_forward
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