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QUESTION TWO (15 MARKS) Consider the following simplified APT model: Factor Expected Risk Premium Market 6.4% Interest Rate -0.6% Yield Spread 5.1% Factor Risk Exposures

QUESTION TWO (15 MARKS)

  1. Consider the following simplified APT model:

Factor

Expected Risk Premium

Market

6.4%

Interest Rate

-0.6%

Yield Spread

5.1%

Factor Risk Exposures

Market

Interest Rate

Yield Spread

Stock

Stock(b1)

(b2)

(b3)

P

1.0

-2.0

-0.2

P2

1.2

0

0.3

P3

0.3

0.5

1.0

  1. Calculate the expected return for the above stocks. Assume risk free rate is 5%. Consider a portfolio with equal investments in stocks P, P2 and P3 (3 Marks)
  2. What are the factor risk exposures for the portfolio? (2 marks)
  3. What is the portfolios expected return? (2 marks)

  1. A project has the following forecasted cash flows:

Cash Flows

C0

C1

C2

C3

(100)

40

60

50

The estimated project beta is 1.5. the market return rm is 16%, and the risk-free rate r f is 7%.

  1. Estimate the opportunity cost of capital and the projects PV (using the same rate to discount each cashflow). (2 Marks)
  2. What are the certainty- equivalent cash flow to the expected cash flow in each year? (2 Marks)
  3. What is the ratio of the certainty-equivalent cash flow to the expected cash flow in each year? (2 Marks)
  4. Explain why this ration declines. (2 Marks)

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