Question
Assume that you are in the two-factor exact APT world. There are two portfolios (portfolio 1 and portfolio 2) which have loadings on the two
Assume that you are in the two-factor exact APT world. There are two portfolios (portfolio 1 and portfolio 2) which have loadings on the two factors as follows:
Loadings | factor 1 | factor 2 |
---|---|---|
portfolio 1 | 1.5 | 0.55 |
portfolio 2 | 1.41 | -1.1 |
The expected return on portfolio 1 is 8.04% and the expected return on portfolio 2 is 14.09%. The risk-free rate is 2.1%.
There is a new portfolio just formed (portfolio 3). It has loadings of 3 and 1.5 on factor 1 and 2, respectively. The expected return on this portfolio is 10%. Is this consistent with APT? If it is consistent with the APT fill the boxes below with zeros. If not, construct an arbitrage strategy that generates $100 today for sure and costs nothing in the future.
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