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Problem 7-12

Suppose that three stocks (A, B, and C) and two common risk factors (1 and 2) have the following relationship:

E(R_A) = (1.1)₁ + (0.8)₂

E(R_B) = (0.6)₁ + (0.5)₂

E(R_C) = (0.1)₁ + (0.2)₂

1. If ₁ = 2% and ₂ = 3%, what are the prices expected next year for each of the stocks? Assume that all three stocks currently sell for $20 and will not pay dividend in the next year. Do not round intermediate calculations. Round your answers to the nearest cent.

   Expected price for Stock A: $

   Expected price for Stock B: $

   Expected price for Stock C: $

2. Suppose that you know that next year the prices for Stocks A, B, and C will actually be $42.37, $45.34, and $40.78. Assume that you can use the proceeds from any necessary short sale. Determine the riskless, arbitrage investment to take advantage of these mispriced securities.

   In order to create a riskless arbitrage investment, an investor would -Select-short 1 share of A and 1 share of C, and buy 2 shares of B.short 1 share of A and 1 share of B, and buy 2 shares of C.short 1 share of C and 1 share of B, and buy 2 shares of A.short 2 shares of A and buy 1 share of B and 1 share of C.short 2 shares of B and buy 1 share of A and 1 share of C.Item 4 a riskless arbitrage investment.

   What is the profit from your investment? Round your answer to the nearest cent.

   $