Assume the Black-Scholes framework. For t 0, let S(t) be the time-t price of a nondividend-paying

Question:

Assume the Black-Scholes framework. For t ≥ 0, let S(t) be the time-t price of a nondividend-paying stock. You are given:

(i) S(0) = 180.

(ii) The stock’s volatility is 20%.

(iii) The continuously compounded expected rate of return on the stock is 8%.

(iv) The continuously compounded risk-free interest rate is 5%.

Consider a 1-year European partial cash-or-nothing option on the stock. The option’s payoff is 

1000, if S(0.5) > 200 and S(1) > 1.5S(0.5), if S(0.5) < 200 and S(1) > 1.55(0.5), otherwise. Payoff = 500, 0,

Calculate the time-0 price of this option.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  answer-question
Question Posted: