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Subject:
Expected/Risk/Required Return
Category: Business and Money Asked by: tylerdurdan-ga List Price: $10.00 |
Posted:
08 Feb 2005 11:01 PST
Expires: 10 Mar 2005 11:01 PST Question ID: 471191 |
Given the following information, answer the questions below: Risk free rate: 5% Market rate: 10% Stock Expected Return Beta(source Quicken.com) IBM 13% 1.48 GE 10 1.07 GM 8 1.20 MMM 7 0.49 a. Create an equal weighted portfolio and determine its expected return, risk and required return. b. Is the portfolio a wise investment? Explain. c. Graph the SML and include an illustration of your answer to part b. d. What is the impact on your recommendation if the market risk premium rose to 7%? |
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Subject:
Re: Expected/Risk/Required Return
Answered By: wonko-ga on 08 Feb 2005 13:51 PST Rated: |
a. An equal weight portfolio will have equal amounts of each of the four securities. Therefore, the portfolio's expected return and beta can be calculated by simply determining the average of those measures. Expected return: (13+10+8+7)/4 = 9.5% Beta: (1.48 +1.07 +1.2 +0.49)/4 = 1.06 We use the Capital Asset Pricing Model to calculate the portfolio's required rate of return. r = beta (rm -rf) +rf = 1.06 (10-5) + 5 = 10.3% b. The portfolio would not be a wise investment because its expected rate of return is less than the required rate of return necessary to offset its risk relative to simply holding the market portfolio with sufficient leverage through borrowing to achieve a beta of 1.06. c. "Capital Asset Pricing Model (CAPM)" Prentice-Hall, Inc. (2000) http://www.prenhall.com/divisions/bp/app/cfldemo/RR/CAPM.html demonstrates how to graph the Security Market Line (SML). d. (rm -rf) is the market risk premium. If it rises to 7%, then the portfolio's required rate of return is 1.06 (7) + 5 = 12.42%. The portfolio's expected rate of return is even farther away from the required rate of return, so it is even more unattractive in this scenario than it was before. Investing in the portfolio does not adequately compensate the investor for the additional risk associated with a beta of 1.06 relative to that of a leveraged investment in the market portfolio. Sincerely, Wonko |
tylerdurdan-ga
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Thanks for the help, you saved my life. The link was awesome. |
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