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You survey a client and you conclude that she can tolerate a standard deviation T of at most 14% . You can allocate your clients

You survey a client and you conclude that she can tolerate a standard deviation T of at most 14%. You can allocate your clients wealth into a corporate bond fund, a common stock fund, and a U.S. T-Bills (risk -free), with the following means and standard deviations:

Expected Return Standard Deviation

Bond Fund(B)

14% 18%
Common Stock(S) 19% 33%
U.S. T-Bill (rf) 10%

a) Find the weights your client should allocate into the bond fund (wB), the common stock fund (wS), and into the risk-free asset (wf). (Remember that wB+wS+wf = 1).

b) Finally, find the return of the portfolio that you found in e). Verify that the standard deviation of the risky portfolio is exactly 15%.

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