is the formula for a geometric average price (asian) put option discretely moni- tored n times, when the stock price pays a (continuously compounded) contin- uous dividend yield d. A. V(0) = exp(-qT)S(0) exp("#1 (1 - 3)(At) + Put price is exp(-rT)KN(-d2) - exp(-1)(O)(-d) (n+1)(2n+1)0 (At) = 12n = B. VO) = exp(-rT)S(0) exp("E? ( - )(At) + (n+1)(2n+1)o? (01 3 (At) price is exp(-rT)KN(-d2) - exp(-qT)VON(-d) n+ 2 (n+1)(2n+1)o? (At) = C. V(0) = exp(-rT)S(0) exp("#1 (r 8 - 3)(At) + price is exp(-rT)KN(-d2) V(0)N(-d) n+ 2 12n 2 = D. V(O) = exp(-q1)S(0) exp("71 (r - 8 - 3)(At) + (n+1)(2n+1)o? (At) price is exp(-rT)KN(-d2) - exp(-qT)VON(-di) E. None is the formula for a geometric average price (asian) put option discretely moni- tored n times, when the stock price pays a (continuously compounded) contin- uous dividend yield d. A. V(0) = exp(-qT)S(0) exp("#1 (1 - 3)(At) + Put price is exp(-rT)KN(-d2) - exp(-1)(O)(-d) (n+1)(2n+1)0 (At) = 12n = B. VO) = exp(-rT)S(0) exp("E? ( - )(At) + (n+1)(2n+1)o? (01 3 (At) price is exp(-rT)KN(-d2) - exp(-qT)VON(-d) n+ 2 (n+1)(2n+1)o? (At) = C. V(0) = exp(-rT)S(0) exp("#1 (r 8 - 3)(At) + price is exp(-rT)KN(-d2) V(0)N(-d) n+ 2 12n 2 = D. V(O) = exp(-q1)S(0) exp("71 (r - 8 - 3)(At) + (n+1)(2n+1)o? (At) price is exp(-rT)KN(-d2) - exp(-qT)VON(-di) E. None