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Assume the risk-free bond B t and the (non-dividend paying) stock S t follow the dynamics of the Black & Scholes model (with interest rate

Assume the risk-free bond Bt and the (non-dividend paying) stock St follow the dynamics of the Black & Scholes model (with interest rate r, stock drift and volatility ).

(a)Is St loge(St3) the price at time t of a European option?

(b)Find the price at time 0 of a European option that pays ST loge(ST3) at maturity T.

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