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(Please answer all with equations used and work shown!) 1. A: The stocks of Apple and Amazon have the following expected returns: State of Economy

(Please answer all with equations used and work shown!)

1. A: The stocks of Apple and Amazon have the following expected returns:

State of Economy

Probability of State of Economy

Apple's Return if State Occurs

Amazon's Return if State Occurs

Recession

55%

-9%

-12%

Normal

30%

8%

11%

Boom

15%

17%

14%

Which company's stock is riskier, based on standard deviation? (20 points)

B: If you have 120 shares of Apple's common stock ($171.05 per share) and 90 shares of Amazon's common stock ($1162.35 per share) in your portfolio, what is the expected return on your portfolio? (15 points)

2. Stock Y has a beta of 1.30 and an expected return of 15.3%. Stock Z has a beta of 0.70 and an expected return of 9.3%. If the risk-free rate is 5.5% and the market risk premium is 6.8%, are these stocks correctly priced? (15 points)

3. You have one million USD and want to create a portfolio equally as risky as the market. Given this information, fill in the rest of the following table: (15 points)

Asset

Investment

Beta

Stock A

$195,000

0.90

Stock B

$340,000

1.15

Stock C

?

1.29

Risk-free asset

?

?

4. Suppose you observe the following situation:

Security

Beta

Expected Return

Pete Corp.

1.15

12.90%

Repete Co.

0.84

10.20%

Assume the two securities are correctly priced. Based on CAPM, what is the expected return on the market? What is the risk-free rate? (15 points)

5. Explain the CAPM. [hint: we need to discuss systematic and unsystematic risks, diversification, assumptions CAPM makes, SML line, the model, things CAPM can't explain, etc. Everything should be linked with the development of the CAPM ] (20 points)

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