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5. The following represents the probability distribution for the rates of return for next month: Probability Portfolio P Market M 1/6 -20% -5% 1/6 -5%

5. The following represents the probability distribution for the rates of return for next month:

Probability Portfolio "P" Market "M"
1/6 -20% -5%
1/6 -5% 5%
1/2 10% 0%
1/6 50% 10%

Compute by hand (and show your work) for the following questions.

a. (5 points) Find the risks (standard deviations) and rewards (expected rates of return) of P and of M (do each one separately).

b. (4 points) Find the covariance of M and P

c. (1 point) Find the market beta of P.

d. (1 point) If you were to hold a portfolio with one quarter of your funds invested in P and the rest invested in M, what would be the beta of this portfolio?

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