The current price of a nondividend-paying stock is S(0) = 100. The price of the stock at

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The current price of a nondividend-paying stock is S(0) = 100. The price of the stock at the end of one year, S(1), is either 90 or 120. The continuously compounded risk-free interest rate is 10%.

Consider a derivative security that pays [S(1)]2 at the end of one year.

(a) Determine the replicating portfolio for the derivative, i.e., find B and ∆.

(b) Calculate the current price of the derivative.

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