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Choosing One Portfolio. The following table shows your predictions of the future

ID: 2383142 • Letter: C

Question

Choosing One Portfolio. The following table shows your predictions of the future returns on three mutual funds. Treasury Bills currently earn 4%. To invest all your wealth, you are limited to choosing a portfolio of only one of these three funds along with T-Bills. You are risk averse and able to borrow and short-sell. Which one of the three risky funds do you choose to invest in. Simple calculations or a graph may be helpful to illustrate your choices.

Compare Fund A to Fund B. Which do you prefer? Explain.

T-Bills Fund A Fund B Fund C E[rp] 4% 16% 16% 10% p 25% 20% 12% p .90 1.00 0.60

Explanation / Answer

E[rp] SD CV Fund A 16 25 1.56 Fund B 16 20 1.25 Fund C 10 12 1.20 Beause of Coefficient of Variation of Fund B is lesser than Fund A, and Fund B have highest Beta, we must choose Fund B. Fund A is more volatile, i.e. riski than Fund B.

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