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Risk & Portfolio Question

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You have decided to invest all your wealth in two mutual funds: A and B. Their returns and risks are as follows:

• the mean returns are rA = 15% and rB= 11%
• the covariance matrix is

rA rB
rA 0.04 0.025
rB 0.025 0.032

You want your total portfolio to yield a return of 12%. What proportions of your wealth should you invest in A and B? What is the standard deviation of the return on your portfolio?

(question is also included in the attached document below)

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Solution Summary

Using the mutual funds example, risk and return are found.

Solution Preview

First of all let x be the proportion of B. The expected portfolio return is:
11x + 15(1-x) = 12,

which gives x ...

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