Consider the following stock return scenarios for three stocks: Economy Up Average Down Stock Stock A B 8% 5% 0% 2% 3% 4% Stock C 12% 0% -5% If each state of the economy is equally likely, calculate the expected return and population standard deviation for a portfolio invested entirely in Stock A. Which stock should be added to the portfolio to reduce risk?

Consider the following stock return scenarios for three stocks: Economy Up Average Down Stock Stock A B 8% 5% 0% 2% 3% 4% Stock C 12% 0% -5% If each state of the economy is equally likely, calculate the expected return and population standard deviation for a portfolio invested entirely in Stock A. Which stock should be added to the portfolio to reduce risk?

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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Similar questions

Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 2.60% + 0.90RM + eA RB = -2.00% + 1.20RM + eB OM = 26%; R-squarea = 0.21; R-squareg = 0.12 Assume you create portfolio P with investment proportions of 0.70 in A and 0.30 in B.
Give typing answer with explanation and conclusion the expected return on stock A is 11.35%. the expected return on stock B is 8.7%. assuming CAPM holds, if the beta of stock A is higher than the beta of stock B by 0.17, what should the risk premium be?
Suppose 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?
You are facing three stock investment alternatives, Stock A, Stock B and Stock C. Given the following information, please indicate which stock is (are) overvalued, which stock is (are) undervalued, and which stock is (are) correctly priced based on the required returns calculation using the Capital Asset Pricing Model (CAPM or Security Market Line=SML). The risk free rate is 3% and the risk premium for the market index return is 5%. Please Show Work Expected Stocks Returns BETA A 14% 1.2 B 8% 0.67 C 20% 2.5
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:
Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is foundto be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the requiredreturn on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (A) to beta of B(B). d) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to payreturns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standarddeviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also hasstandard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whetherasset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i (??) =???????, where ??,?? are standard deviations of asset i and marketportfolio, ??? is the correlation between asset i and the market portfolio)Question 2. Foreign exchange marketsStatoil, the national…
Stock A has an expected return of 13.52 percent. Stock B has an expected return of 9.24 percent. Assuming the Capital Asset Pricing Model holds, and Stock A's beta is greater than Stock B's beta by 0.32, what is the expected market risk premium (in percent)? Answer to two decimals
You have the following data on three stocks: Stock Standard Deviation Beta A 20% 0.59 B 10% 0.61 C 12% 1.29 If you are a strict risk minimizer, you would choose Stock ____ if it is to be held in isolation and Stock ____ if it is to be held as part of a well-diversified portfolio. Group of answer choices A; A. A; B. C; A. B; A.
Consider the following simplified APT model: Factor Expected Risk Premium Market 6.4% Interest Rate -0.6% Yield Spread 5.1% Factor Risk Exposures Market Interest Rate Yield Spread Stock Stock(b1) (b2) (b3) P 1.0 -2.0 -0.2 P2 1.2 0 0.3 P3 0.3 0.5 1.0 Required: 1. Calculate the expected return for the above stocks. Assume risk free rate is 5%. Consider a portfolio with equal investments in stocks P, P2 and P3 2.What are the factor risk exposures for the portfolio? 3.What is the portfolio’s expected return?
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA - 2.60 + 0.90RM + CA Rg- -2.00 + 1.20RM + eg OM- 26, R-equarea 0.21; R-squaren 0.12 Assume you create portfolio Pwith investment proportions of 0.70 in A and 0.30 in B. a. What is the standard deviation of the portfollo? (Do not round your intermediate calculations. Round your answer to 2 decimal places.) Standard deviation b. What is the beta of your portfolio? (Do not round your intermediate calculations. Round your answer to 2 decimal places.) Portfolio beta c. What is the firm-specific variance of your portfolio? (Do not round your intermediate calculations. Round your answer to 4 decimal places.) Firm-specific
What is the required return for each stock? What is required return for stock B? Scenario Probability Stock A Stock B Market Risk-free rate Bust 0.25 -0.15 -0.05 Normal 0.55 0.2 0.1 Boom 0.2 0.4 0.3 Beta 1.2 0.9 Expected return 0.13 0.05
b) You are given the following information about Stock X and the market: The annual effective risk-frec rate is 5%. The expected return and volatility for Stock X and the market are shown in the table below: Expected Return Volatility Stock X 5% 40% Market 8% 25% The correlation between the returns of stock X and the market is -0.25. Assume the Capital Asset Pricing Model holds. Calculate the required return for Stock X and determine if the investor should invest in Stock X.

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