question archive Table 5

Table 5

Subject:ManagementPrice: Bought3

Table 5.11 shows data on the returns over five 1-year periods for six mutual funds. A

firm’s portfolio managers will assume that one of these scenarios will accurately reflect

the investing climate over the next 12 months. The probabilities of each of the scenarios

occurring are 0.1, 0.3, 0.1, 0.1, and 0.4 for years 1 to 5, respectively.

a. Develop a portfolio model for investors who are willing to risk a portfolio with a

return no lower than 2%.

b. Solve the model in part (a) and recommend a portfolio allocation for the investor with

this risk tolerance.

c. Modify the portfolio model in part (a) and solve it to develop a portfolio for an investor

with a risk tolerance of 0%.

d. Is the expected return higher for investors following the portfolio recommendations

in part (c) as compared to the returns for the portfolio in part (b)? If so, do you believe

the returns are enough higher to justify investing in that portfolio?

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