A financial institution plans to offer a security that pays off a dollar amount equal to S

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A financial institution plans to offer a security that pays off a dollar amount equal to S2T at time T.

(a) Use risk-neutral valuation to calculate the price of the security at time  in terms of the stock price, S, at time t and other variables.

(b) Confirm that your price satisfies the differential equation (15.16).

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