My question: for question c, How do i create a portfolio with a beta of 0 using factors?

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.

Portfolio	Expected Return	Sensitivity to Factor 1	Sensitivity to Factor 2
A	15%	1	0
B	20%	1	1
C	5%	0	0

D

10%

0

1

What are i) the risk premiums of the two factors and ii) the risk-free rate?

(4 marks)

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)

Suppose that Portfolio Ds expected return is 8%. 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)

(Total for Question: 10 marks)