a) What are the standard deviations of stocks A and B? b) Suppose we build a portfolio with the following weights: 50% in stock A, 40% in stock B, and 10% in risk- free T-bills. Compute the expected return, standard deviation, beta, and nonsystematic standard deviation of the portfolio

a) What are the standard deviations of stocks A and B? b) Suppose we build a portfolio with the following weights: 50% in stock A, 40% in stock B, and 10% in risk- free T-bills. Compute the expected return, standard deviation, beta, and nonsystematic standard deviation of the 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

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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Concept explainers

Risk and return

Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.

Capital Asset Pricing Model

Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.

Question

Problem 1.
The following are estimates for two stocks.
Firm-Specific
Standard Deviation
25%
40
Stock Expected Return Beta
7%
A
0.90
1.30
B
11
The market index has a standard deviation of 24% and the risk-free rate is 4%.
a) What are the standard deviations of stocks A and B?
b)
Suppose we build a portfolio with the following weights: 50% in stock A, 40% in stock B, and 10% in risk-
free T-bills. Compute the expected return, standard deviation, beta, and nonsystematic standard
deviation of the portfolio

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