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Assume both X and Y are well-diversified portfolios and the risk-free rate is 8%. The expected returns and factor betas (one factor) are: Portfolio Expected

Assume both X and Y are well-diversified portfolios and the risk-free rate is 8%. The expected returns and factor betas (one factor) are:

Portfolio Expected Return Beta

X 16% 1.0

Y 12% 0.25

a. Is there an arbitrage opportunity? If so, what is the trade and the payoff?

b. Suppose short selling were prohibited. Would there still be an arbitrage?

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