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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Question
Chapter 12, Problem 18QP
Summary Introduction
To determine: The probability of getting double the value of investment in one year.
Introduction:
The
Standard deviation refers to the variation in the actual observations from the average. Z-Score helps to know how many numbers of standard deviations is the raw score or outcome away from the average or mean.
Summary Introduction
To determine: The probability of getting triple the value of investment in one year.
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suppose your expectations regarding the stock market are as follows: State of the Economy
Probability HPR Boom 0.2 42% Normal growth 0.6 23 Recession 0.2-17 E(r) = Σss = 1p(s)r(
s) Var(r)=\sigma 2 = Σss = 1p(s)[r(s)-E(r)]2 SD (r)=\sigma = Var(r) ✓ Required: Use
above equations to compute the mean and standard deviation of the HPR on stocks. (Do
not round intermediate calculations. Round your answers to 2 decimal places.)
You are analyzing a stock that has the following returns given the various states of economy.
State of Economy
Probability
Return
Recession
0.12
-7.20
Normal
0.68
6.80
Boom
0.2
15.40
What is the expected return on this stock?
Assume that you are using the Capital Asset Pricing Model (CAPM) to find the expected return for a share of common stock. Your research shows the following:
Beta = βi = 1.54
Risk free rate = Rf = 2.5% per year
Market return = E(RM) = 6.5% per year
Based on this information, answer the following:
A. Based on the beta, how does the stock's risk compare to the market overall? On what do you base your answer?
B. Based on the beta, how would you expect the stock's returns to react to a decrease in returns in the market overall? Why?
C. According to the CAPM and the information given above, what is the expected return E(Ri) for this stock?
D. If the required rate of return on this stock were 7% per year, would you invest? Why or why not?
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
Knowledge Booster
Similar questions
- Assume you are using the dividend growth model to value stocks. If you expect the inflation rate to increase, you should also expect: O A. market value of all stocks to remain constant as the dividend growth will offset the increase in inflation. B. stocks that do not pay dividends to decrease in price while dividend paying stocks maintain a constant price. C. market value of all stocks to decrease, all else equal. ype here to search 10:12 10/18/2 PrtSen Home Endarrow_forwardNow assume that the stock is currently selling at $30.29. What is its expected rate of return?arrow_forwardYou live in a world where three future states are possible: Boom, Normal and Recession. See the probablities of these states in the attched table. Consider a stock which you expected to have the following returns in these states of the economy. State Probability Boom Normal Recession O 6.52% οιοιοι What is the standard deviation of returns on an investment in this stock? 6.37% ○ 4.62% 25% 55% 20% O 7.17% State Expected Return 0.15 0.08 -0.04arrow_forward
- You've estimated the following expected returns for a stock, depending on the strength of the economy: State (s) Probability Expected return Recession 0.1 -0.05 Normal 0.5 0.06 Expansion 0.4 0.11 What is the expected return for the stock? What is the standard deviation of returns for the stock?arrow_forwardSuppose you observe the following situation: Probability of State 0.25 0.45 0.30 State of Economy Recession Normal Irrational exuberance Stock A Stock B % % Rate of Return if State Occurs Stock B Stock A a. Calculate the expected return on each stock. (Round the final answers to 2 decimal places.) Expected Return % -0.12 0.09 0.44 -0.10 0.09 0.24 b. Assuming the capital asset pricing model holds and stock A's beta is greater than stock B's beta by 0.75, what is the expected market risk premium? (Do not round intermediate calculations. Round the final answer to 2 decimal places.) Expected market risk premiumarrow_forwardCould you please show me the solution.arrow_forward
- An analyst has estimated how a particular stock’s return will vary depending on what will happen to the economy. What is the coefficient of variation on the company's stock? OF THEECONOMY PROBABILITY OFSTATE OCCURRING STOCK'S EXPECTEDRATE IF THISSTATE OCCURS Recession Below Average Average Above Average Boom .10 .20 .40 .20 .10 (.60) (.10) .15 .40 .90arrow_forwardSuppose you observe the following situation: Probability of State 0.35 0.40 0.25 State of Economy Recession Normal Irrational exuberance Stock A Stock B Expected Return Rate of Return if State Occurs Stock B % Stock A a. Calculate the expected return on each stock. (Round the final answers to 2 decimal places.) -0.11 0.10 0.45 -0.09 0.10 0.25 b. Assuming the capital asset pricing model holds and stock A's beta is greater than stock B's beta by 0.65, what is the expected market risk premium? (Do not round intermediate calculations. Round the final answer to 2 decimal places.) Expected market risk premiumarrow_forwardConsider the following information: State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Recession 0.30 0.05-0.15 Normal 0.55 0.15 0.15 Boom 0.15 0.20 0.35 Calculate the expected return for the two stocks.arrow_forward
- Suppose your expectations regarding the stock market are as follows: State of the Economy Boom Normal growth Recession Probability 0.3 0.4 0.3 Mean Standard deviation E (r) Σ=1p(s)r(s) Var (r) = o² = Σ³-1 P (s)[r (s) — E (r)]² - SD (r) = o = √Var (r) Required: Use above equations to compute the mean and standard deviation of the HPR on stocks. (Do not round intermediate calculations. Round your answers to 2 decimal places.) 14.00% 23.24% HPR X 2 decimal places required. 44% 14 -16arrow_forwardPlease provide a step-by-step answer with a detailed explanation.arrow_forwardSuppose you observe the following situation: State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Bust 0.22 -0.12 -0.27 Normal 0.48 0.1 0.05 Boom 0.3 0.23 0.28 Assume the capital asset pricing model holds and stock A's beta is greater than stock B's beta by 0.21. What is the expected market risk premium?arrow_forward
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