Portfolio Theory with a Riskless Asset 2. Suppose that a fund that tracks the S&P has mean E(Rm) = 16% and standard deviation σM = 10%, and suppose that the T-bill rate Rf = 8%. Answer the following questions about efficient portfolios: 1 (a) What is the expected return and standard deviation of a portfolio that is totally invested in the risk-free asset? (b) What is the expected return and standard deviation of a portfolio that has 50% of its wealth in the risk-free asset and 50% in the S&P? (c) What is the expected return and standard deviation of a portfolio that has 125% of its wealth in the S&P, financed by borrowing 25% of its wealth at the risk-free rate? (d) What are the weights for investing in the risk-free asset and the S&P that produce a standard deviation for the entire portfolio that is twice the standard deviation of the S&P? What is the expected return on that 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
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Portfolio Theory with a Riskless Asset
2. Suppose that a fund that tracks the S&P has mean E(Rm) = 16% and standard
deviation σM = 10%, and suppose that the T-bill rate Rf = 8%. Answer the following
questions about efficient portfolios:
1
(a) What is the expected return and standard deviation of a portfolio that is totally
invested in the risk-free asset?
(b) What is the expected return and standard deviation of a portfolio that has 50%
of its wealth in the risk-free asset and 50% in the S&P?
(c) What is the expected return and standard deviation of a portfolio that has 125%
of its wealth in the S&P, financed by borrowing 25% of its wealth at the risk-free
rate?
(d) What are the weights for investing in the risk-free asset and the S&P that produce
a standard deviation for the entire portfolio that is twice the standard deviation
of the S&P? What is the expected return on that portfolio?
Transcribed Image Text:Portfolio Theory with a Riskless Asset 2. Suppose that a fund that tracks the S&P has mean E(Rm) = 16% and standard deviation σM = 10%, and suppose that the T-bill rate Rf = 8%. Answer the following questions about efficient portfolios: 1 (a) What is the expected return and standard deviation of a portfolio that is totally invested in the risk-free asset? (b) What is the expected return and standard deviation of a portfolio that has 50% of its wealth in the risk-free asset and 50% in the S&P? (c) What is the expected return and standard deviation of a portfolio that has 125% of its wealth in the S&P, financed by borrowing 25% of its wealth at the risk-free rate? (d) What are the weights for investing in the risk-free asset and the S&P that produce a standard deviation for the entire portfolio that is twice the standard deviation of the S&P? What is the expected return on that portfolio?
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