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1. Given the following probability distribution and stock return information: Economy State Probability (p) Stock A Return Stock B Return Good 0.3 15% 10% Normal

1. Given the following probability distribution and stock return information:

Economy State

Probability (p)

Stock A Return

Stock B Return

Good

0.3

15%

10%

Normal

0.6

5%

8%

Bad

0.1

-3%

-20%

A) Calculate expected return rates E(r) for stock A and stock B;

B) Calculate standard deviations for stock A and stock B;

C) Calculate the coefficients of variation for stock A and stock B;

D) If risk free rate is 2%, calculate the Sharpe Ratios for stock A and stock B.

E) What stock is a better investment opportunity?

2. If you have $10,000 to invest and you put $4,000 in stock A and $6,000 in stock B (the two stocks listed in Question 1), then what is the expected return rate of your portfolio (entire investment of $10,000)?.

3. The risk free rate is 2%. The expected return rate of the market portfolio is 8%. If stock C has a beta 1.5 and stock D has a beta 0.8, what are the expected return rates of stock C and stock D?

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