1. Black Scholes PDE: In a market in which the Black Scholes assumptions are satisfiel, an asset makes the terminal payoff f(S(T)) = S(T)", n> 1, where S(T) is the value of the underlying stock at time T. The asset's value if the stock price reaches zero is P(0,t) = 0. (a) Show that the price of this power asset at ( 1, where S(T) is the value of the underlying stock at time T. The asset's value if the stock price reaches zero is P(0,t) = 0. (a) Show that the price of this power asset at (