The question is below. I get the answer given the concept of arbitrage, but how would I prove this out mathematically from the data easily?
An analyst determines that a portfolio with a 35% weight in Investment P and a 65% weight in Investment Q will have a standard deviation of returns equal to zero.
- Investment P has an expected return of 8%.
- Investment Q has a standard deviation of returns of 7.1% and a covariance with the market of 0.0029.
- The risk-free rate is 5% and the market risk premium is 7%.
If no arbitrage opportunities are available, the expected rate of return on the combined portfolio is closest to: ANSWER: 5%