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2. Consider a European put with an exercise (strike) price of 5.00 and with 6 months to maturity. The underlying asset has a volatility of

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2. Consider a European put with an exercise (strike) price of 5.00 and with 6 months to maturity. The underlying asset has a volatility of 30% and the riskless rate is 5% per year. Estimate a numerical upper bound for the asset price S(t) (to nearest 0.01) at which an European put will sell below its intrinsic value of max(E-S(t),0). (Compute P(S,t) and E-S(t) for some values of s(t) below the strike price. Compute P(S, t) to at least 3 decimal places.)

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