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Consider a two-factor model and assume that the factors, F1 and F2, are independent. The factors have the same risk premium of 5%, and volatilities of σF1 = 20% and σF2 = 10%.
Consider two securities, A and B, that have the following dynamics:
Security
Beta1
Beta2
σ??i
A
1
5%
B
0.5
2
20%
where σ??i denotes volatility of idiosyncratic component of asset i = {A, B}
(a) Assuming that both securities are fairly priced, what are their risk premia?
(b) Compute volatility of each security.
(c) What is the correlation between A and B returns?
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