Consider a world with only two risky assets, A and B, and a risk-free asset. Stock A has 200 shares outstanding, a price per share of $3.00, an expected return of 16% and a volatility of 30%. Stock B has 300 shares outstanding, a price per share of $4.00, an expected return of 10% and a volatility of 15%. The correlation coefficient ρAB = 0.4. Assume CAPM holds. (a) What is expected return of the market portfolio? (b) What is volatility of the market portfolio? (c) What is the beta of each stock?

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter3: Risk And Return: Part Ii
Section: Chapter Questions
Problem 3P: Two-Asset Portfolio Stock A has an expected return of 12% and a standard deviation of 40%. Stock B...
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Consider a world with only two risky assets, A and B, and a risk-free asset. Stock A
has 200 shares outstanding, a price per share of $3.00, an expected return of 16% and
a volatility of 30%. Stock B has 300 shares outstanding, a price per share of $4.00, an
expected return of 10% and a volatility of 15%. The correlation coefficient ρAB = 0.4.
Assume CAPM holds.
(a) What is expected return of the market portfolio?
(b) What is volatility of the market portfolio?
(c) What is the beta of each stock?
(d) What is the risk-free rate?

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