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Problem 7-16 Suppose that you have $1 million and the following two opportunities from which to...

Problem 7-16

Suppose that you have $1 million and the following two opportunities from which to construct a portfolio:

  1. Risk-free asset earning 11% per year.

  2. Risky asset with expected return of 26% per year and standard deviation of 34%.

If you construct a portfolio with a standard deviation of 24%, what is its expected rate of return? (Do not round your intermediate calculations. Round your answer to 1 decimal place.)

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Answer #1

Portfolio standard deviation=weight of risky asset*standard deviation of risky asset

Hence,
24%=weight of risky asset*34%
=>weight of risky asset=24%/34%

Portfolio expected return=24%/34%*26%+(1-24%/34%)*11%=21.5882%

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