1.- Suppose that a two-factor model, where the factors are the market return (Fa

Question

1.- Suppose that a two-factor model, where the factors are the market return (Factor 1) and the growth rate of industrial production (Factor 2), correctly describes the return generating processes of all assets and the corresponding two-factor APT correctly prices three well-diversified portfolios, A, B, and C. 4 Portfolio Expected Return., Sensitivitto Factor Sensitivityto Factore 15%- 20% 0° a. What are )the risk premiums of the two factors and ii) the risk-free rate?4 (4 marks)* b. Another well-diversified portfolio D has sensitivities 0 and 1 to factor 1 and factor 2, respectively. What is the APT-consistent expected return on Portfolio D? (2 marks)- C-Suppose that Portfolio D's expected return is 12%. Given your answers above, design an arbitrage strategy involving Portfolios A, B, C, and D. (Hint: an arbitrage strategy requires no initial investment, has no risk and yet generates a positive return.)* (4 marks)e

Explanation / Answer

return=riskfreerate+riskpremiumfactor1*sensiitvityfactor1+riskpremiumfactor2*sensitivityfactor2
1.
Hence,
15%=riskfree+1*riskpremiumfactor1+0
20%=riskfree+1*riskpremiumfactor1+1*riskpremiumfactor2
6%=riskfreerate+0+0
Hence,
riskfreerate=6%
riskpremiumfactor1=9%
riskpremiumfactor2=5%

2.
returns on D=6%+0*9%+1*5%=11%

3.
As porfolio D's expected return is more than 11%,
buy portfolio D sell C,B and buy A

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