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 21QP
Summary Introduction
To determine: The future annual returns over five years.
Introduction:
Arithmetic average return refers to the
Person B’s formula helps in deriving a return forecast by combining both the arithmetic and geometric averages. Person B’s formula states that the investors should use a combination of arithmetic and geometric average return for
Summary Introduction
To determine: The future annual returns over twenty years.
Summary Introduction
To determine: The future annual returns over thirty years.
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Check out a sample textbook solutionStudents have asked these similar questions
Consider the rate of return of stocks ABC and XYZ.
Year
rABC
rXYZ
1
22
%
34
%
2
12
12
3
14
18
4
7
0
5
1
−8
1. If you were equally likely to earn a return of 22%, 12%, 14%, 7%, or 1%, in each year (these are the five annual returns for stock ABC), what would be your expected rate of return? (Do not round intermediate calculations.)
2. What if the five possible outcomes were those of stock XYZ?
3. Given your answers to (d) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting future performance?
A. Arithmetic
B. Geometric
10.4 Obtain at least 5 years’ worth of daily or weekly stock price data for a stock of your choice.
a. Compute annual volatility using all the data.
b.Compute annual volatility for each calendar year in your data. How does
volatility vary over time?
c.Compute annual volatility for the first and second half of each year in your
data. How much variation is there in your estimate?
how do I do these in excel?
3. a. Suppose a stock pays currently pays a $10 dividend each year and that the dividend is expected to grow at 3% each year. Suppose that the risk-adjusted discount rate for that stock is 8%. According to fundamental analysis stock prices are the present value of expected future dividends (discounted at the risk-adjusted discount rate). What should the current price of this stock be? Hint: a=(1+g)/(1+i) where g is the growth rate in dividends and i is the discount rate for stocks. Use the formula in 2. but let ?? → ∞.
b. For the stock in part a, what is the expected rate of return for that stock.
c. Suppose that market participants think the stock has become riskier and raise the discount rate for the stock to 10%. What is the new stock price value? What is the expected rate of return for this stock?
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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- Now assume that the stock is currently selling at $30.29. What is its expected rate of return?arrow_forward9. A common stock offers dividend of $2 next period and its price is $30 next period. Suppose that the covariance of this stock and market is 24, market average return is 18% and market standard deviation is 4%, and the risk-free interest rate is 5%. What is proper discount rate for this stock? What is the value of this stock today? Now assume that investors will hold this stock into the indefinite future. The growth rate of dividends is 8%. Stockholders’ desired discount rate is 15%. What is the implied fair price of this stock?arrow_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_forward
- Suppose that your estimates of the possible one-year returns from investing in the common stock of the AYZ Corporation were as follows: Probability of occurrence 0.15 0.25 0.3 0.15 0.15 Possible return -10% 5% 20% 35% 50% What are the expected return? Calculate the standard deviation?arrow_forwardYou'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_forwardYou build a binomial model with one period and assert that over the course of a year, the stock price will either rise by a factor of 1.5 or fall by a factor of 2/3. What is your implicit assumption about the volatility of the stock’s rate of return over the next year?arrow_forward
- 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.)arrow_forwardA. If a stock costs $55 one month and drops to $45 the next month, what is the expected stock price the next month, if we assume the stock follows a random walk? B. Explain both technical and fundamental analysis and what form of the efficient market hypothesis corresponds to each.arrow_forwardThe following table is an analyst's best guess for the likelihood of various states of the economy next year and the corresponding return on the stock of EFG Corp. State of the Expected Return Economy Probability (%) Ideal 0.2 20.0 Good 0.4 15.0 Fair 0.3 8.0 Poor 0.1 -10.0 What is the expected percentage rate of return on EFG Corp. stock? Group of answer choices 3.4 10.4 10.8 11.4 not enough informationarrow_forward
- 5. Risk Premium (S7.1) Suppose that in year 2030, investors become much more willing than before to bear risk. As a result, they require a return of 8% to invest in common stocks rather than the 10% that they had required in the past. This shift in risk aversion causes a 15% change in the value of the market portfolio. a. Do stock prices rise by 15% or fall? b. If you now use past returns to estimate the expected risk premium, will the inclusion of data for 2030 cause you to underestimate or overestimate the return that investors required in the past? c. Will the inclusion of data for 2030 cause you to underestimate or overestimate the return that investors require in the future?arrow_forwardConsider a stock currently trading at $10, with expected annual return of 15% and annual volatility of 0.2. Under our standard assumption about the evolution of stock prices, what is the probability that the price of the stock in one years time will be below $9?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
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