An investment bank offers a derivative whose payoff at maturity T is given by S 2 T

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An investment bank offers a derivative whose payoff at maturity T is given by S 2T , where ST is the price of the underlying asset, a non-dividendpaying stock share with a price following a GBM. Find the price of the derivative at time 0. Check the correctness of your result by verifying that it satisfies the BSM partial differential equation.

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