Question: Consider a 2-factor model. The risk free rate is rf=1%. There are two factors, f1 and f2, with respective factor risk prices of 1=5%, 2=7%.

Consider a 2-factor model. The risk free rate is rf=1%. There are two factors, f1 and f2, with respective factor risk prices of 1=5%, 2=7%. Consider two risky assets, with loadings given in the following table

Loadings

factor 1

factor 2

Asset 1

1.4

2.3

Asset 2

2.9

0.7

Construct a portfolio of the two risky assets and the risk-free asset (the sum of portfolio weights is 1) with zero loading on the first factor, and a loading of 1 on the second factor. Assume that the APT relation holds exactly for the two risky assets in this problem. What is the expected return on this portfolio?

(a) Weight on asset 1: %

(b) Weight on asset 2: %

(c) Weight on the risk-free asset: %

(d) Expected return of this portfolio: %

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