Portfolio a has a beta of 1.0 and an expected return of 22%. portfolio b has a beta of 2.0 and an expected return of 17%. the risk-free rate of return is 2%. is there an opportunity for arbitrage: ( explain your answer)

Yes, there is an opportunity.

Explanation:

Beta is an indicator of the risk of any portfolio.  The higher beta, the greater the risk. Therefore, the expected return of that portfolio should be higher.

Portfolio B has a higher Beta than portfolio A, but a lower expected return, so we say that the portfolio B is more expensive than it's value. So, there is an opportunity for arbitrage. You should sell the protfolio B and buy the portfolio A, and win the difference between both operations, with no risk.

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