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Assume the assumptions of Arbitrage Pricing Theory hold and a three-factor model describes the realized returns. All other risk is diversifiable. Assume that factors
Assume the assumptions of Arbitrage Pricing Theory hold and a three-factor model describes the realized returns. All other risk is diversifiable. Assume that factors are normalized so that E[F] = E[F] = E[F3] The risk-free rate is rf = 2% = 0.02 and you are given the multi-factor representation of three risky assets: TA = 0.05 + 1 + A - B = 0.02 F++B . rc= 0.085-0.5 F + F + 3 + c where risks A, B, C are diversifiable/idiosyncratic. a) Assume the 3-factor Arbitrage Pricing Theory applies. What are the risk-premia for holding factors 1,2,3? b) Assume the 3-factor Arbitrage Pricing Theory applies. What is the expected return of an asset that has loading 0.75 on factor 1, 0.2 on factor 2, and -0.4 on factor 3?
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