2. In a market in which the Arbitrage Pricing Theory (APT) model holds, the expected return is given by E[Ri] = 20 + ßi,1λ₁ + ßi,2λ₂+, ..., +ßi,nλn a) Assume that risk-free rate in this economy is 0.02. Consider a two-factor model, n = 2 and two well diversified portfolios P₁ and P2 with the following features: P₁ Expected returns: E(R₁) 0.18 P2 0.05 Sensitivity to factor 1: Bi,1 0.2 0.1 Sensitivity to factor 2: ẞi,2 0.7 0.3 Find the risk premiums for each factor.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.7P
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2. In a market in which the Arbitrage Pricing Theory (APT) model holds, the expected
return is given by
E[Ri] = λ0 + ẞi,1λ1 + Bi,2λ2+, ..., +ßi,nλn
a) Assume that risk-free rate in this economy is 0.02. Consider a two-factor model, n = 2
and two well diversified portfolios P₁ and P2 with the following features:
P₁
Expected returns: E(R₁)
0.18
P2
0.05
Sensitivity to factor 1: ẞi,1
0.2
0.1
Sensitivity to factor 2: ẞi,2
0.7
0.3
Find the risk premiums for each factor.
Transcribed Image Text:2. In a market in which the Arbitrage Pricing Theory (APT) model holds, the expected return is given by E[Ri] = λ0 + ẞi,1λ1 + Bi,2λ2+, ..., +ßi,nλn a) Assume that risk-free rate in this economy is 0.02. Consider a two-factor model, n = 2 and two well diversified portfolios P₁ and P2 with the following features: P₁ Expected returns: E(R₁) 0.18 P2 0.05 Sensitivity to factor 1: ẞi,1 0.2 0.1 Sensitivity to factor 2: ẞi,2 0.7 0.3 Find the risk premiums for each factor.
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