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Consider two assets X and Y. Each cost $100 to purchase. After one year, X pays out $140 with probability p and 80 with probability

Consider two assets X and Y. Each cost $100 to purchase. After one year, X pays out $140 with probability p and 80 with probability 1 p. Asset Y pays out $60 with probability p and $200 with probability 1 p.

1) Find the value of p such that the the two assets have identical expected returns.

2) Given this value of p, calculate the standard deviation of the return of these two assets.

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