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 stdev of 30%. Stock B has 300 shares outstanding, a price per share of $4.00, an expected return of 10%, and a stdev of 15%. The correlation coefficient PAB = 0.4. a) What is the (market) beta of each stock? b) Assume that the risk-free interest rate on margins (i.e., borrowing cost) is 0. I have $100. I decide to invest $200 in Stock A, and borrow the rest. What is the beta of my portfolio?

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter2: Risk And Return: Part I
Section: Chapter Questions
Problem 3Q: Security A has an expected return of 7%, a standard deviation of returns of 35%, a correlation...
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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 stdev of
30%. Stock B has 300 shares outstanding, a price per share of $4.00, an expected return of
10%, and a stdev of 15%. The correlation coefficient PAB = 0.4.
a) What is the (market) beta of each stock?
b) Assume that the risk-free interest rate on margins (i.e., borrowing cost) is 0. I have
$100. I decide to invest $200 in Stock A, and borrow the rest. What is the beta of my
portfolio?
Transcribed Image Text: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 stdev of 30%. Stock B has 300 shares outstanding, a price per share of $4.00, an expected return of 10%, and a stdev of 15%. The correlation coefficient PAB = 0.4. a) What is the (market) beta of each stock? b) Assume that the risk-free interest rate on margins (i.e., borrowing cost) is 0. I have $100. I decide to invest $200 in Stock A, and borrow the rest. What is the beta of my portfolio?
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