CFIN (with Online, 1 term (6 months) Printed Access Card) (New, Engaging Titles from 4LTR Press)
5th Edition
ISBN: 9781305661653
Author: Scott Besley, Eugene Brigham
Publisher: Cengage Learning
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Chapter 8, Problem 4PROB
Summary Introduction
Expected
Standard deviation is the financial measure of risk and stability on the
Coefficient of variance is a measure used to calculate the total risk per unit of return of an investment.
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Suppose you are an average risk-averse investor who can purchase only one of the following stocks. Which should you purchased? Explain your reasoning.
Investment Expected Return, r Standard Deviation, (r
Stock M 6.0% 4.0%
Stock N 18.0 12.0
Stock O 12.0 7.0
Calculate the coefficients of variation for the following stocks:
Stock
Expected return
Standard deviation of return
1
0.065
0.25
2
0.06
0.17
3
0.14
0.24
What is the coefficient of variation for stock 1?
What is the coefficient of variation for stock 2?
What is the coefficient of variation for stock 3?
f you want to get the best risk-to-reward trade-off, which stock should you buy?
Stock 2
Stock 3
Stock 1
Your client is considering purchasing stocks. The actual return of one o his choices follows here. Assist him by calculating the standard deviation and advise him what the risk is.
Stock 'A' Actual Returns = 6%, 12%, 8%, 10%
0.0164
0.0258
0.0542
0.1072
Chapter 8 Solutions
CFIN (with Online, 1 term (6 months) Printed Access Card) (New, Engaging Titles from 4LTR Press)
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- Suppose that there are many stocks in the security market and that the characteristics of stocks A and B are given as follows: Expected Return 11% 17 Correlation = -1 Stock A B Standard Deviation 6% 9 Suppose that it is possible to borrow at the risk-free rate, rf. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfolio from stocks A and B.) Note: Do not round intermediate calculations. Round your answer to 3 decimal places. Risk-free ratearrow_forwardSuppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, rƒ. The characteristics of two of the stocks are as follows: Stock Expected Return Standard Deviation A 8% 55% B 4% 45% Correlation = −1 Required: a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be formed to create a “synthetic” risk-free asset?) (Round your answer to 2 decimal places.) b. Could the equilibrium rƒ be greater than rate of return?arrow_forward1arrow_forward
- Assume that you are considering investing in two risky assets, namely PKX and XIY, with the following probability distribution. Assume that short selling is allowed. Stock РКХ XIY State of the world Probability Return (%) Return (%) 1 0.25 18 2 0.30 5 -3 3 0.20 12 15 4 0.10 4 12 0.15 6 1 1. Calculate the expected return and risk for each of these assets. Interpret. 2. Consider a portfolio that contains PKX and XIY. Note that XIY comprises 30% of the portfolio. What is the expected return and risk of this portfolio? 3. How will your answer in (2) change if XIY comprises 20% of the portfolio only? Comment on your findings.arrow_forwardSuppose Stock A has B = 1 and an expected return of 11%. Stock B has a B = 1.5. The risk- free rate is 5%. Also consider that the covariance between B and the market is 0.135. Assume the CAPM is true. Answer the following questions: a) Calculate the expected return on share B. b) Find the equation of the Capital Market Line (CML). c) Build a portfolio Q with B = 0 using actions A and B. Indicate weights (interpret your result) and expected return of portfolio Q.arrow_forwardSuppose that there are many stocks in the security market and that the characteristics of stocks A and B are given as follows: Stock Expected Return Standard Deviation A 11 % 7 % B 17 11 Correlation = –1 Suppose that it is possible to borrow at the risk-free rate, rf. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfolio from stocks A and B.) (Do not round intermediate calculations. Round your answer to 3 decimal places.)arrow_forward
- E(FAssume that using the Security Market Line (SML) the required rate of return (RA) on stock A is found to be half of the required return (Rs) on stock B. The risk-free rate (R;) is one-fourth of the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (BA) to beta of B (BB). a oarrow_forwardSuppose that the market can be described by the following three sources of systematic risk with associated risk premiums. Risk Premium Factor Industrial production (I) Interest rates (R) Consumer confidence (C) Required: 8% 4 7 The return on a particular stock is generated according to the following equation: r = 17% +0.9/+0.5R+0.70 C+ e a-1. Find the equilibrium rate of return on this stock using the APT. The T-bill rate is 3%. Note: Do not round intermediate calculations. Round your answer to 1 decimal place. a-2. Is the stock over- or underpriced? a-1. Equilibrium rate of return a-2 Is the stock over- or underpriced? %arrow_forwardSuppose we have the following information: Securit Amount Invested Expected Return Beta Stock A RM1 ,OOO 8% 0.80 Stock B RM2,OOO 12% 0.95 Stock C RM3,OOO 15% 1.10 Stock D RM4,OOO 18% a) Compute the expected return on this portfolio. b) Calculate the beta of the portfolio. c) Does this portfolio have more or less systematic risk than an average asset? Explain.arrow_forward
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