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Given below are the betas of a well-diversified portfolio on factor portfolios from a three-factor model and the risk premium on each of these factor

Given below are the betas of a well-diversified portfolio on factor portfolios from a three-factor model and the risk premium on each of these factor portfolios. If the expected return on this portfolio is 12% based on your forecasts and the risk-free rate is 5%, determine whether an arbitrage opportunity exists and quantitatively outline the strategy you would use to expropriate it over a 1,000,000 trade.

F1 F2 F3
Rp .05 .04 .03
BETA -.50 1.50 1.00

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