Consider the stock price under the Black-Scholes assumption, i.e. St = So exp ((r-120) t t+oW where r denotes the interest rate. Consider an option with payoff 2 ST 8%)* K h (Sr) = (log where T is the time of maturity and K is a constant. Compute the Greeks of this option. Decide whether V (t, x) = exp(-r (T-t)) 1) [(108 ( 7 ) + (x 210) (T 1) + 0 (T-1)] is the Black-Scholes price of the option at time t assuming that St = r. Present your arguments.