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Consider the following information on the estimated factor loadings for a two-factor APT model for three well-diversified portfolios. Betal Port A Port B Port C

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Consider the following information on the estimated factor loadings for a two-factor APT model for three well-diversified portfolios. Betal Port A Port B Port C 1.5 .5 Beta2 .3 .5 .2 E(r) .19 .13 1.0 .14 The risk-free rate is 1% per annum. Betal is the factor loading on Factor 1 and Beta2 is the factor loading for factor 2; E(r) denotes the expected return. Assume there are no transactions costs and that you can short the portfolios and borrow and lend at the risk-free rate (you can obviously go long in the portfolios too). A. Is there an arbitrage opportunity with these three well-diversified portfolios (and the risk-free rate)? For this question, justify your answer by showing the three are not priced correctly relative to each other. (9 points) Consider the following information on the estimated factor loadings for a two-factor APT model for three well-diversified portfolios. Betal Port A Port B Port C 1.5 .5 Beta2 .3 .5 .2 E(r) .19 .13 1.0 .14 The risk-free rate is 1% per annum. Betal is the factor loading on Factor 1 and Beta2 is the factor loading for factor 2; E(r) denotes the expected return. Assume there are no transactions costs and that you can short the portfolios and borrow and lend at the risk-free rate (you can obviously go long in the portfolios too). A. Is there an arbitrage opportunity with these three well-diversified portfolios (and the risk-free rate)? For this question, justify your answer by showing the three are not priced correctly relative to each other. (9 points)

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