# CAPM, Expected Return, Risk and Return

CAPM and EXPECTED RETURN: The following table shows betas for several companies. How do I calculate each stock's expected rate of return using the CAPM. Assuming the risk-free rate of interest is 5 percent. Using a 9 percent risk premium for the market portfolio.

Company BETA

Cisco 2.03

CitiGroup 1.36

Merck .40

Walt Disney .84

Can you help me with the meaning of CAPM and BETA? and if there are more abbreviations and formulas can you help me with what it means. THANKS

Can you help me with the following problem it is a True or false

RISK AND RETURN: Can you help me explain or qualify as necessary.

a. The expected rate of return on an investment with a beta of 2 is twice as high as the expected rate of return of the market portfolio.

b.The contribution of a stock to the risk of a diversified portfolio depends on the market risk of the stock.

c. If a stock's expected rate of return plots below the security market line, it is underprices.

d. A diversified portfolio with a beta of 2 is twice as volatile as the market portfolio.

e. An undiversified portfolio with a beta of 2 is twice as volatile as the market portfolio.

Can you help me with the meaning to abbreviations and formulas if used. Thank you, your help is GREATLY appreciated

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#### Solution Summary

The solution answers two questions: 1) calculates each stock's expected rate of return using the CAPM, given beta, risk free rate and market risk premium 2) answers True/False questions on risk and return

Expected return and Standard Deviation of a portfolio, CAPM

The following four questions need to be addressed with regards to each problem.

1. What financial concept or principle is the problem asking you to solve?

2. In the context of the problem, what are some business decisions that a manager would be able to make after solving the problem?

3. Is there any additional information missing from the problem that would enhance the decision making process?

4. Without showing mathematical equations, explain in writing how you would solve the problem.

PROBLEM 1

Suppose the expected returns and standard deviations of stocks A and B are E(RA)= 0.17, E(RB) = 0.27, StdDevA = 0.12, and StdDevB = 0.21, respectively.

a. Calculate the expected return and standard deviation of a portfolio that is composed of 35% A and 65% B when the correlation between the returns on A and B is 0.06.

b. Calculate the standard deviation of a portfolio that is composed of 35% A and 65% B when the correlation coefficient between the returns on A and B is -0.6.

c. How does the correlation between the returns on A and B affect the standard deviation?

PROBLEM 2

Suppose the expected return on the market portfolio is 14.7 percent and the risk-free rate is 4.9 percent. Morrow Inc. stock has a beta of 1.3. Assume the capital-asset-pricing model holds.

a. What is the expected return on Morrow's stock?

b. If the risk-free rate decreases to 4 percent, what is the expected return on Morrow's stock?

PROBLEM 3

A portfolio that combines the risk-free asset and the market portfolio has an expected return of 22 percent and a standard deviation of 5 percent. The risk-free rate is 4.9 percent, and the expected return on the market portfolio is 19 percent. Assume the capital-asset-pricing model holds.

What expected rate of return would a security earn if it had a 0.6 correlation with the market portfolio and a standard deviation of 3 percent?

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