What is the alpha of Portfolio Z?

Please answer in decimal form, not percent.

For questions 8-12

Create a strategy that takes advantage of the mispricing that exists. Create your strategy your strategy so that it goes either long or short $1 invested in Portfolio Z.

8. Following on from the above: with a strategy that goes either long or short $1 in Portfolio Z, what should the amount invested in Portfolio Z be? (use + for long and - for short)

9.Following on from the above: with a strategy that goes either long or short $1 in Portfolio Z, what should the amount invested in the risk-free asset be? (use + for long and - for short)

10. Following on from the above: with a strategy that goes either long or short $1 in Portfolio Z, what should the amount invested in Factor Portfolio P be? (use + for long and - for short)

11.Following on from the above: with a strategy that goes either long or short $1 in Portfolio Z, what should the amount invested in Factor Portfolio Q be? (use + for long and - for short)

12.What is the arbitrage return (in %) per dollar bought/sold of Portfolio Z.

Please answer in decimal form, not percent.

(Big HINT: Follow slides 21-25 in this week's lecture). Assume that you are using a two-factor APT model, with factors P and Q, to find the fair (model-) expected return on a well-diversified portfolio Z that has an actual expected return of 20%. Portfolio Z's factor loadings (i.e., Z's betas on each of the two factors) and the factors' risk premiums are shown in the table below. Portfolios for factors P and Q are tradable (i.e., you can take long or short positions in them). Assume that the factor loading of P on Q is 0 (and the factor loading of Q on Pis also, by extension, 0 too). The risk-free rate is 4%. Factor Z's factor loading (Beta) Factor Risk Premium P 1.5 12.0% Q 0.6 -3% There is an arbitrage opportunity