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 12, Problem 20QP
Blume’s Formula [LO1] Over a 40-year period an asset had an arithmetic return of 10.4 percent and a geometric return of 8.8 percent. Using Blume’s formula, what is your best estimate of the future annual returns over 5 years? 10 years? 20 years?
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(3) Today you have paid $275 for an investment that pays $100 in one year, $500 in two years,and $X in 4 years. Assuming the market interest rate is 100% and the net present value of theinvestment is zero, what must be true about X?(a) X is greater than $2,500(b) X is greater than or equal to $2,000 but less than $2,500(c) X is greater than or equal to $1,500 but less than $2,000(d) X is greater than $1,200 but less than $1,500(e) X is less than or equal to $1,200
Present value (LO9-4)
4. You will receive $6,800 three years from now. The discount rate is 10 percent.
a. What is the value of your investment two years from now? Multiply $6,800 × (1/1.10) or divide by 1.10 (one year’s discount rate at 10 percent).
b. What is the value of your investment one year from now? Multiply your answer to part a by (1/1.10).
c. What is the value of your investment today? Multiply your answer to part b by (1/1.10).
d. Use the formula PV = FV x 1 / (1+i)^n to find the present value of $6,600 received three years from now at 10 percent interest.
Solve ASAPQ # 2 : What is the present value of $1000 received in 8 years if the current opportunity rate of return is 7% ?
Chapter 12 Solutions
Fundamentals of Corporate Finance
Ch. 12.1 - Prob. 12.1ACQCh. 12.1 - Why are unrealized capital gains or losses...Ch. 12.1 - What is the difference between a dollar return and...Ch. 12.2 - Prob. 12.2ACQCh. 12.2 - Why doesnt everyone just buy small stocks as...Ch. 12.2 - What was the smallest return observed over the 88...Ch. 12.2 - About how many times did large-company stocks...Ch. 12.2 - What was the longest winning streak (years without...Ch. 12.2 - How often did the T-bill portfolio have a negative...Ch. 12.3 - Prob. 12.3ACQ
Ch. 12.3 - What was the real (as opposed to nominal) risk...Ch. 12.3 - Prob. 12.3CCQCh. 12.3 - What is the first lesson from capital market...Ch. 12.4 - In words, how do we calculate a variance? A...Ch. 12.4 - With a normal distribution, what is the...Ch. 12.4 - Prob. 12.4CCQCh. 12.4 - What is the second lesson from capital market...Ch. 12.5 - Prob. 12.5ACQCh. 12.5 - Prob. 12.5BCQCh. 12.6 - What is an efficient market?Ch. 12.6 - Prob. 12.6BCQCh. 12 - Chase Bank pays an annual dividend of 1.05 per...Ch. 12 - The risk premium is computed as the excess return...Ch. 12 - Prob. 12.4CTFCh. 12 - Prob. 12.5CTFCh. 12 - Prob. 12.6CTFCh. 12 - Investment Selection [LO4] Given that Fannie Mae...Ch. 12 - Prob. 2CRCTCh. 12 - Risk and Return [LO2, 3] We have seen that over...Ch. 12 - Market Efficiency Implications [LO4] Explain why a...Ch. 12 - Efficient Markets Hypothesis [LO4] A stock market...Ch. 12 - Semistrong Efficiency [LO4] If a market is...Ch. 12 - Efficient Markets Hypothesis [LO4] What are the...Ch. 12 - Stocks versus Gambling [LO4] Critically evaluate...Ch. 12 - Efficient Markets Hypothesis [LO4] Several...Ch. 12 - Efficient Markets Hypothesis [LO4] For each of the...Ch. 12 - Calculating Returns [LO1] Suppose a stock had an...Ch. 12 - Calculating Yields [LO1] In Problem 1, what was...Ch. 12 - Prob. 3QPCh. 12 - Prob. 4QPCh. 12 - Nominal versus Real Returns [LO2] What was the...Ch. 12 - Bond Returns [LO2] What is the historical real...Ch. 12 - Prob. 7QPCh. 12 - Risk Premiums [LO2, 3] Refer to Table 12.1 in the...Ch. 12 - Calculating Returns and Variability [LO1] Youve...Ch. 12 - Calculating Real Returns and Risk Premiums [LO1]...Ch. 12 - Calculating Real Rates [LO1] Given the information...Ch. 12 - Prob. 12QPCh. 12 - Prob. 13QPCh. 12 - Calculating Returns and Variability [LO1] You find...Ch. 12 - Arithmetic and Geometric Returns [LO1] A stock has...Ch. 12 - Arithmetic and Geometric Returns [LO1] A stock has...Ch. 12 - Using Return Distributions [LO3] Suppose the...Ch. 12 - Prob. 18QPCh. 12 - Distributions [LO3] In Problem 18, what is the...Ch. 12 - Blumes Formula [LO1] Over a 40-year period an...Ch. 12 - Prob. 21QPCh. 12 - Calculating Returns [LO2, 3] Refer to Table 12.1...Ch. 12 - Using Probability Distributions [LO3] Suppose the...Ch. 12 - Using Probability Distributions [LO3] Suppose the...Ch. 12 - Prob. 1MCh. 12 - Prob. 2MCh. 12 - Prob. 3MCh. 12 - Prob. 4MCh. 12 - A measure of risk-adjusted performance that is...Ch. 12 - Prob. 6M
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- 8. If the concern is for the value that existing money will have next year, the formula for the intertemporal value of money can be expressed as follows: Next Year's Value = Present Value (1 + r). For example, if the interest rate is 10% and the present value is $100, the $100 will increase to $110 at the end of a year. a. Using this algebraic expression, show the formula for the present value of future income and calculate what $200 received next year is worth now. b. What is the present value of $100 received 2 years from now?arrow_forwardwhat is the maximum amount you would be willing to pay for an investment opportunity that you expect to bring you $1,100 in one year, 2,420 in 2 years and $3000 per year for the following 5 years given that you require a return of 10% on investment with similar level of risks? 1. 12,398 2. 17,000 3. 14,372 4. 18,520 5. 11,372arrow_forwardTwenty years ago, you invested 16,612.70. If you earned a compound annual rate of return of 6.30%, how much is your investment worth today? Question 3 options: 62,745.76 51,482.69 54,218.18 60,328.54 56,377.46arrow_forward
- 4. Present value Finding a present value is the reverse of finding a future value. is the process of calculating the present value of a cash flow or a series of cash flows to be received in the future. Which of the following investments that pay will $19,000 in 14 years will have a higher price today? The security that earns an interest rate of 7.00%. The security that earns an interest rate of 10.50%. Eric wants to invest in government securities that promise to pay $1,000 at maturity. The opportunity cost (interest rate) of holding the security is 9.60%. Assuming that both investments have equal risk and Eric’s investment time horizon is flexible, which of the following investment options will exhibit the lower price? An investment that matures in five years An investment that matures in six years Which of the following is true about present value calculations? Other things remaining equal, the present value of a…arrow_forward17. Grim Smith plans to invest ¥12 million today. The rate of return has been estimated at 8 percent per year. What is the future value of this investment 11 years from now? use excelarrow_forward7. An investment is expected to produce the cash flows of $15,000, $13,000, and $18,000 at the end of the next three years. If the required rate of return is 17.5%, the present value of this investment is closest to: A. $31,223. B. $32,648. C. $33,277. 8. Given an 8.5% discount rate, an asset that generates cash flows of $100 in Year 1, -$200 in Year 2, $-100 in Year 3, and is then sold for $1,500 at the end of Year 4, has a present value of: A. $906.35. B. $926.35. C. $1,024.22. Please provide an accurate answer.arrow_forward
- 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 abovearrow_forwardQ14. Without an abandonment option, a project is worth $15 million today. Suppose the value of the project is either $20 million one year from today (if product demand is high) or $10 million (if product demand is low). It is possible to sell off the project for $14 million if product demand is poor. Calculate the value of the abandonment option if the discount rate is 5 percent per year (in million, for illustration, if the answer is $21,553,100, then you should answer 21.5531)arrow_forwardHow much would $1 growing at 5% per year be worth after 100 years? What wouldthe FV be if the growth rate were 10%? ($131.50, $13,780.61)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_forward11) What is the rate of return on an investment of $124,090 if the company expects to receive $10,000 per year for the next 30 years?arrow_forward
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