Question

Let S = $65, r = 3% (continuously compounded), d = 5%, s = 30%, T...

Let S = $65, r = 3% (continuously compounded), d = 5%, s = 30%, T = 2. In this situation, the appropriate values of u and d are 1.32313 and 0.72615, respectively. Using a 2-step binomial tree, calculate the value of a $55-strike European call option.

Answers: a.

$14.416

b.

$14.291

c.

$13.458

d.

$13.868

e.

$14.519

Homework Answers

Answer #1

here , S0 = current stock price

Su = stock price after 1 year if stock price increases

Sd = stock price after 1 year if stock price decreases

Suu = stock price after 2 years if stock price increases

Sdd = stock price after 2 years if stock price decreases

Sud = stock price after 2 years if stock price after 1 year increases and in the 2nd year it decreases

fu = value of option after 1 year if stock price increases

fd = value of option after 1 year if stock price decreases

fuu = value of option after 2 years if stock price increases

fdd = value of option after 2 years if stock price decreases in both years

fud = value of option after 2 years if stock price increases after 1st year and decreases after 2nd year

f = value of option today

hence the correct option is c) 13.458

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
post all the steps Let S = $45, r = 7% (continuously compounded), d = 1%,...
post all the steps Let S = $45, r = 7% (continuously compounded), d = 1%, s = 25%, T = 2. In this situation, the appropriate values of u and dare 1.36343 and 0.82696, respectively. Using a 2-step binomial tree, calculate the value of a $50-strike European put option. a. $6.702 b. $6.076 c. $5.282 d. $5.227 e. $5.666
Let S = $75, r = 8% (continuously compounded), d = 5%, s = 40%, T...
Let S = $75, r = 8% (continuously compounded), d = 5%, s = 40%, T = 2. In this situation, the appropriate values of u and d are 1.53726 and 0.69073, respectively. Using a 2-step binomial tree, calculate the value of an $80-strike American put option? Correct answer is 15.656. Can you show steps how to solve it without excel? Thank you!
1a) Let S = $50, K = $55, r = 8% (continuously compounded), T = 0.25,...
1a) Let S = $50, K = $55, r = 8% (continuously compounded), T = 0.25, and d = 0. Let u = 1.25, d = 0.7, and n = 1. What are D and B for a European put? Answers: a. D = –0.5055; B = 48.6981 b. D = –0.6640; B = 34.3515 c. D = –0.9695; B = 48.6535 d. D = –0.7273; B = 44.5545 e. D = –0.5607; B = 48.2080 1b) Let S =...
Let S = $70, K = $65, r = 6% (continuously compounded), d = 1%, s...
Let S = $70, K = $65, r = 6% (continuously compounded), d = 1%, s = 30%, and T = 2. What are the appropriate values of u and d to build a 3-period binomial stock price tree? (Use the formulas from the main part of the chapter and lecture notes, not the alternative formulas in the appendix.) EDIT: This question does not need anymore information, everything I have written is all that was provided. Please do not answer...
Let S = $65, s = 43%, r = 5.5%, and d = 2.5% (continuously compounded)....
Let S = $65, s = 43%, r = 5.5%, and d = 2.5% (continuously compounded). Compute the Black-Scholes price for a $70-strike European call option with 3 months until expiration. Correct answer is $3.77 How do you solve with steps? No excel please.
Let S = $64, s = 45%, r = 5%, and d = 2.5% (continuously compounded)....
Let S = $64, s = 45%, r = 5%, and d = 2.5% (continuously compounded). Compute the Black-Scholes price for a $60-strike European put option with 9 months until expiration. Correct answer is $7.02 What are the steps to solve it? No excel please.
Let S = $58, s = 29%, r = 6%, and d = 3% (continuously compounded)....
Let S = $58, s = 29%, r = 6%, and d = 3% (continuously compounded). Compute the Black-Scholes price for a $50-strike European put option with 9 months until expiration. Answer= $1.92 Please show all the work to get that answer. Thanks
A stock index is currently 1,500. ITs volatility is 18% per annum. The continuously compounded risk-free...
A stock index is currently 1,500. ITs volatility is 18% per annum. The continuously compounded risk-free rate is 4% per annum for all maturities. (1) Calculate values for u,d, and p when a six-month time step is used. (2) Calculate the value a 12-month American put option with a strike price of 1,480 given by a two-step binomial tree.
For A 6-month European call option on a stock, you are given: (1) The stock price...
For A 6-month European call option on a stock, you are given: (1) The stock price is 150. (2) The strike price is 130. (3) u=1.3u=1.3 and d=0.7d=0.7. (4) The continuously compounded risk-free rate is 6%. (5) There are no dividends. The option is modeled with a 2-period binomial tree. Determine the option premium.
A stock index is currently 1,500. Its volatility is 18%. The risk-free rate is 4% per...
A stock index is currently 1,500. Its volatility is 18%. The risk-free rate is 4% per annum for all maturities and the dividend yield on the index is 2.5% (both continuously compounded). Calculate values for u, d, and p when a 6-month time step is used. What is value of a 12-month European put option with a strike price of 1,480 given by a two-step binomial tree? In the question above, what is the value of a 12-month American put...