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2. Consider a quadratic put payoff A(S) = (K S2)+, with fixed strike K > 0. Derive an analytic expression for the early-exercise boundary

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2. Consider a quadratic put payoff A(S) = (K S2)+, with fixed strike K > 0. Derive an analytic expression for the early-exercise boundary value S* as well the perpetual American pricing function V(S) for this payoff. Express your answer in terms of the spot S and the parameters K, r, q, and .

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