15.

The current stock price is $80. After six months, it either goes up by a factor u = 1.20 or it goes down by a factor d = 0.80. The continuously compounded risk-free rate is 6% per year. Consider an exotic option whose payoff after six months is given by the stock price S(T) squared less the strike price (K = $7,500) if it has a positive value, zero otherwise, that is: max[S(T)² 7,500, 0]. What is the price of the exotic option?

a.

$930

b.

$940

c.

$960

d.

$920

e.

$950