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 23QP
Using Probability Distributions [LO3] Suppose the returns on large-company stocks are
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Suppose you have predicted the following returns for stocks C (Your Company) and T (Your Competitor) in three possible states of nature. What are the expected returns?
State
Probability
C
T
Boom
0.2
0.13
0.30
Normal
0.5
0.12
0.17
Recession
0.3
0.04
0.02
Consider 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.
You are comparing Stock A to Stock B. Given the following information, what is the difference in the expected returns of these two securities?
State of Economy
Probability of State of Economy
Rate of Return if State Occurs
Stock A
Stock B
Normal
.75
.13
.16
Recession
.25
−.05
−.21
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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- ________ is a model for determining the price of a stock, based on a future series of dividends that grow at a constant rate.arrow_forwardb. Consider the following information about three stocks: Probability of State of i. ii. iii. iv. State of Economy V. Boom Recession Economy 0.40 0.60 From the information given, you are required to answer the following questions. Compute the Standard Deviation for each stock. Compute the Coefficient Variation for each stock. Based on your computation in part (i) and (ii), which stock is riskier? Explain your answer. Rate of Return if State Occurs Stock Hang Stock Hang Jebat 7% 13% Tuah 28% (5%) Stock Hang Kasturi 15% 3% Assume that you have RM14,000 invested in Stock Hang Jebat whose beta is 1.5, RM19,000 invested in Stock Hang Kasturi whose beta is 2.5 and RM17,000 invested in Stock Hang Tuah whose beta is 1.6. Determine what is the beta of this portfolio. Based on your answer in part (iv), compute the required rate of return for this portfolio, given that the market rate of return is 13% and risk-free rate is 5%.arrow_forward(1) Write out a formula that can be used to value any dividend-paying stock, regardless of its dividend pattern. (2) What is a constant growth stock? How are constant growth stocks valued? (3) What happens if a company has a constant gL that exceeds its rs? Will many stocks have expected growth greater than the required rate of return in the short run (i.e., for the next few years)? In the long run (i.e., forever)?arrow_forward
- Q3) Consider the following two companies and their forecasted returns for the upcoming year: (picture) A. What is the standard deviation of the returns on each company's stock (Company A, and B) (write all formulas). B. Of these two stocks, which is riskier? Justify your answerarrow_forwardYou 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?arrow_forwardConsider the following information about Stocks X and Y: State of Economy Probability of State Stock X Returns Stock Y Returns Recession 0.15 0.11 -0.25 Steady 0.55 0.18 0.11 Boom 0.30 0.08 0.31 The market risk premium is 7.5 percent, and the risk-free rate is 4 percent. Which stock has the most systematic risk? Which one has the most unsystematic risk? Which stock is “riskier”? Explain.arrow_forward
- What is the standard deviation of the returns on a stock given the following information? Could you please show the work? State of Economy Probability of state of Economy Rate of return if state occurs Boom 0.3000 0.1500 Normal 0.6500 0.1200 Recession 0.0500 0.0600 Average 0.3333 0.1100arrow_forwardSuppose you have predicted the following returns for stock C in three possible states of nature. What is the expected return of stock C? State Probability Return Boom 0.3 0.15 Normal 0.5 0.10 Recession 0.2 0.02arrow_forwardRemember, the expected value of a probability distribution is a statistical measure of the average (mean) value expected to occur during all possible circumstances. To compute an asset's expected return under a range of possible circumstances (or states of nature), multiply the anticipated return expected to result during each state of nature by its probability of occurrence. Consider the following case: Aaron owns a two-stock portfolio that invests in Blue Liama Mining Company (BLM) and Hungry Whale Energy (HWE). Three-quarters of Aaron's portfolio value consists of BLM's shares, and the balance consists of HWE's shares. Each stock's expected return for the next year will depend on forecasted market conditions. The expected returns from the stocks in different market conditions are detailed in the following table: Market Condition Probability of Occurrence 20% 35% 45% Strong Normal Weak Blue Llama Mining Hungry Whale Energy, 10% 14% 6% -8% 8% -10% Calculate expected returns for the…arrow_forward
- Exploring Finance: Betas and Stock Volatility. Betas: Stock Volatility Conceptual Overview: Explore how stock volatility relates to the beta coefficient b risk measure. The tendency of a stock to move with the market is measured by its beta coefficient, b. When first loaded, the graph shows the line for an average stock, which necessarily matches the market return. In a year when the market returns 10%, the average stock returns 10%. And in a year when the market goes down -10%, the average stock goes down -10% also. The slope of the line for the average stock is b = 1.0. A more volatile stock would change more extremely. Drag the line vertically so that it has a slope of b = 2.0. For this more volatile stock, in a year when the market returned 20%, the volatile stock did better with a 30% return, and when the market lost -10%, the volatile stock lost big with a -30% change. Now drag the line so that it has a slope of b = 0.5. This stock is less volatile than the average stock and…arrow_forwardIntro We know the following expected returns for stocks A and B, given different states of the economy: State (s) Probability E(rA.s) E(rB,s) -0.1 0.04 0.08 0.05 0.13 0.07 Recession 0.2 Normal 0.5 Expansion 0.3 Part 1 What is the expected return for stock A? 3+ decimals Submitarrow_forwardAn 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_forward
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