EXPECTED RETURNS Stocks A and B have the following probability distributions of expected future returns: Probability 0.1 0.2 0.4 0.2 0.1 A (10%) 2 12 20 38 (35%) 0 20 25 45 a. Calculate the expected rate of return, f, for Stock B (= 12%). A b. Calculate the standard deviation of expected returns, a, for Stock A (a = 20.35%). Now calculate the coefficient of variation for Stock B. Is it possible that most investors will regard Stock B as being less risky than Stock A? Explain. c. Assume the risk-free rate is 2.5%. What are the Sharpe ratios for Stocks A and B? Are these calculations consistent with the information obtained from the coefficient of variation calculations in part b? Explain.

EXPECTED RETURNS Stocks A and B have the following probability distributions of expected future returns: Probability 0.1 0.2 0.4 0.2 0.1 A (10%) 2 12 20 38 (35%) 0 20 25 45 a. Calculate the expected rate of return, f, for Stock B (= 12%). A b. Calculate the standard deviation of expected returns, a, for Stock A (a = 20.35%). Now calculate the coefficient of variation for Stock B. Is it possible that most investors will regard Stock B as being less risky than Stock A? Explain. c. Assume the risk-free rate is 2.5%. What are the Sharpe ratios for Stocks A and B? Are these calculations consistent with the information obtained from the coefficient of variation calculations in part b? Explain.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Given the following excess return index model regression results Ra*= -0.059616 + 0.957478Rm* where; \sigma M = 0.80226720, the return on the market portfolio is 0.085306, and the risk-free rate is 0.018302. Note Ra* and Rm* are excess returns. Calculate the actual return for Stock A. Round to 4 decimals, and present answer as a decimal (.08, not 8%) Answer: 0.0228
Assume the CAPM holds and consider stock X, which has a return variance of 0.09 and a correlation of 0.75 with the market portfolio. The market portfolio's Sharpe ratio is 0.30 and the the risk-free rate is 5%. (a) What is Stock X's expected return? (b) What proportion of Stock X's return volatility (i.e. standard deviation) is priced by the market? Explain why this number is less than 1.
A stock's returns have the following distribution: Demand for theCompany's Products Probability of thisDemand Occurring Rate of Return ifthis Demand Occurs Weak 0.1 (28%) Below average 0.1 (10) Average 0.4 12 Above average 0.3 22 Strong 0.1 55 1.0 Assume the risk-free rate is 3%. Calculate the stock's expected return, standard deviation, coefficient of variation, and Sharpe ratio. Do not round intermediate calculations. Round your answers to two decimal places. Stock's expected return: % Standard deviation: % Coefficient of variation: Sharpe ratio:
Suppose you inherit $100,000 at age 25 and immediately invested in a growth fund who’s annual rate of return average is 13%. Five years later, you transfer all proceeds from the scrubs fun into a long-term IRA that pays an average annual rate of 8%. Immediately you start making additional contributions of $7000 per year to the same IRA. Assuming continuous interest, steady interest rates, and a perfect record of making annualcontributions, how much is this IRA worth when you reach the age of 65? The formula that will need to be used is A = P e^r*t + D/r (e^r*t - 1). Hint: use the continuous interest formula to find the accumulated amount for the first five years, which is then the annual investment, P, into the IRA.
Consider the following probability distribution for stocks A and B: State Probability Return on Stock A Return on Stock B 1 0.10 10% 8% 2 0.20 13% 7% 3 0.20 12% 6% 4 0.30 14% 9% 5 0.20 15% 8% The coefficient of correlation between A and B is:
We know the following expected returns for stocks A and B, given the different states of the economy: State(s) Probability E(rA,s) E(rB,s) Recession 0.1-0.06 0.04 Normal 0.5 0.09 0.07 Expansion 0.4 0.17 0.11 What is the standard deviation of returns for stock B?
Stock A and B have the following probability distributions of expected future returns: Probability A B 0.1 (20%) (46%) 0.2 7 0 0.4 15 15 0.2 23 30 0.1 47 50 What is the expected rate of return for Stock A? What is the standard deviation of returns for Stock B?
Stocks A and B have the following probability distributions of expected future returns: Probability 0.1 (15%) (31%) 0.1 5 0 0.6 15 18 0.1 0.1 22 31 30 49 a. Calculate the expected rate of return, B, for Stock B (A = 13.30%.) Do not round intermediate calculations. Round your answer to two decimal places. % b. Calculate the standard deviation of expected returns, GA, for Stock A (σ = 19.42%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. Is it possible that most investors might regard Stock B as being less risky than Stock A? I. If Stock B is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense. II. If Stock B is more highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be less risky in…
Stocks A and B have the following probability distributions of expected future returns: Probability A B 0.1 (7 %) (26 %) 0.1 3 0 0.5 14 22 0.2 20 26 0.1 36 50 Calculate the expected rate of return, , for Stock B ( = 14.20%.) Do not round intermediate calculations. Round your answer to two decimal places. % Calculate the standard deviation of expected returns, σA, for Stock A (σB = 18.68%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. Is it possible that most investors might regard Stock B as being less risky than Stock A? If Stock B is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense. If Stock B is more highly correlated with the market than A, then it might have a higher…
A stock's returns have the following distribution: Demand for theCompany's Products Probability of thisDemand Occurring Rate of Return ifthis Demand Occurs Weak 0.1 (22%) Below average 0.2 (13) Average 0.3 17 Above average 0.3 39 Strong 0.1 64 1.0 Assume the risk-free rate is 2%. Calculate the stock's expected return, standard deviation, coefficient of variation, and Sharpe ratio. Do not round intermediate calculations. Round your answers to two decimal places. Stock's expected return: % Standard deviation: % Coefficient of variation: Sharpe ratio:
Stock A has a correlation with the market of 0.53. Assuming that the standard deviation of returns for Stock A is 24.0% and that the standard deviation of returns for the market is 10.0%, what is beta for stock A? A 1.31 B. 1.27 C. 0.17 D. 0.22
A stock's returns have the following distribution: Probability Rate of Return 0.1 -2% 0.2 -10% 0.4 10 % 0.2 20 % 0.1 30% Calculate the stock's a) expected return, b) standard deviation, and c) coefficient of variation.

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