# New York University STAT-UB STAT-UB C20.0015 A stock now sells at a price of \$25 per share. The distribution of…

New York University STAT-UB STAT-UB C20.0015 A stock now sells at a price of \$25 per share. The distribution of…

A stock now sells at a price of \$25 per share. The distribution of the price of the stock one year from now is believed to be as follows:

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New York University STAT-UB STAT-UB C20.0015 A stock now sells at a price of \$25 per share. The distribution of…
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f(x) =24000/x^4. x>=20

a)  What is the probability that the stock price will exceed \$25 per share one year from now?

b)  Find the mean and median of this distribution.

c)  Find the 87.5 percentile of this distribution.

d)  Let W = X – 25 IF X ≥ 25

= 0 IF X < 25
Compute E(W). What is the financial interpretation of W?

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