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Assume both Portfolio Manager X & Y know with absolute certainty that one period from now, Sector 1 will return 20%, Sector 2 will return

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Assume both Portfolio Manager X & Y know with absolute certainty that one period from now, Sector 1 will return 20%, Sector 2 will return -10%, and the SP500 will return 8%. Both PM X & Y use the SP500 as a benchmark, want to maximize return on equity, and pay no taxes. Portfolio X is long only with $200M of equity to invest in either Sector 1 or Sector 2. Portfolio Y only has $100M of equity to invest in either sector, but can also short $100M of either sector and reinvest the proceeds. One period from now, which of the following statements is most likely TRUE: a) PM X will outperform the benchmark by 12% and PM Y will outperform the benchmark by 42% b) PM X will outperform the benchmark by 12% and PM Y will outperform the benchmark by 32% c) PM X will outperform the benchmark by 12% and PM Y will outperform the benchmark by 30% d) PM X will outperform the benchmark by 12% and PM Y will outperform the benchmark by 22% e) PM X and PM Y will both realize the same capital gain (in $s), but realize different ROES

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