A 1-year American put option on a stock is modeled with a 2-period binomial tree. Given that
A 1-year American put option on a stock is modeled with a 2-period binomial tree. Given that the price of the stock is 100, the strike price is 105. σ = 0.4. The continuously compounded risk-free rate is 6%. The stock pays no dividends.Determine the risk-neutral probability and the put premium
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A 1-year American put option on a stock is modeled with a 2-period binomial tree. Given that
A 1-year European call option is modeled with a 1-period binomial tree with u = 1.2, d = 0.7.
A 1-year European call option is modeled with a 1-period binomial tree with u = 1.2, d = 0.7. The stock price is 50. The strike price is 55. The stock pays no dividends. The call premium is 3.10. σ = 0.25.Determine the risk-free rate
Find the fair value of an European call option and an American put option using the...
Find the fair value of an European call option and an American put option using the incoherent and coherent binomial option tree if the underlying asset pays dividend of 4 PLN in one and half month. The initial stock price is 60 PLN, the strike price of 58 PLN is expiring at the end of the third month, the continuously compounded risk-free interest rate is 10% per annum, and the stock volatility is 20%.
Consider a European put option on the stock of XYZ, with a strike price of $30...
Consider a European put option on the stock of XYZ, with a strike price of $30 and two months to expiration. The stock pays continuous dividends at the annual continuously com- pounded yield rate of 5%. The annual continuously compounded risk free interst rate is 11%. The stock currently trades for $23 per share. Suppose that in two months, the stock will trade for either $18 per share or $29 per share. Use the one-period binomial option pricing to find...
Consider an American put option on a nondividend paying stock when the stock price is $70,...
Consider an American put option on a nondividend paying stock when the stock price is $70, the strike price is $76, the risk-free rate is 4%, the volatility is 20%, and the time to maturity is six months. Using a binomial tree model with 5 time steps, answer the following questions: a. What is the value of the option? Attach the screenshot of the tree
A 9-month American put option on a non-dividend-paying stock has a strike price of $49. The...
A 9-month American put option on a non-dividend-paying stock has a strike price of $49. The stock price is $50, the risk-free rate is 5% per annum, and the volatility is 30% per annum. Use a three-step binomial tree to calculate the option price.
For a 3-month European put option on a stock: (1) The stock's price is 41. (ii)...
For a 3-month European put option on a stock: (1) The stock's price is 41. (ii) The strike price is 45. (iii) The annual volatility of a prepaid forward on the stock is 0.25. (iv) The stock pays a dividend of 2 at the end of one month. (v) The continuously compounded risk-free interest rate is 0.05. Determine the Black-Scholes premium for the option.
The current price of a continuous-dividend-paying stock is $100 per share. Its volatility is given to...
The current price of a continuous-dividend-paying stock is $100 per share. Its volatility is given to be 0.30 and its dividend yield is 0.03. The continuously-compounded, risk-free interest rate equals 0.06. Consider a $95-strike European put option on the above stock with three months to expiration. Using a one-period forward binomial tree, find the price of this put option. (a) $3.97 (b) $4.38 (c) $4.70 (d) $4.97 (e) None of the above.
The current price of a continuous-dividend-paying stock is $100 per share. Its volatility is given to...
The current price of a continuous-dividend-paying stock is $100 per share. Its volatility is given to be 0.30 and its dividend yield is 0.03. The continuously-compounded, risk-free interest rate equals 0.06. Consider a $95-strike European put option on the above stock with three months to expiration. Using a one-period forward binomial tree, find the price of this put option. (a) $3.97 (b) $4.38 (c) $4.70 (d) $4.97 (e) None of the above.
GS stock is currently worth $56. Every year, it can increase by 30% or decrease by...
GS stock is currently worth $56. Every year, it can increase by 30% or decrease by 10%. The stock pays no dividends, and the annual continuously-compounded risk-free interest rate is 4%. Using a two-period binomial option pricing model, find the price today of one two-year European put option on the stock with a strike price of $120.
Problem 9. You are interested in pricing European and American put options on a stock using...
Problem 9. You are interested in pricing European and American put options on a stock using a four-period binomial model with notation and set-up as in Chapter 10 of the text. So = 30, u = 1.15, d= 0.78, h = 1,= 0, and r = 0.04 The European and American put options expire at the end of the 4th period and each has a strike price of 25. As in the text, r as a continuously compounded interest rate....
Consider a European put option on the stock of XYZ, with a strike price of $30 and two months to expiration. The stock pays continuous dividends at the annual continuously com- pounded yield rate of 5%. The annual continuously compounded risk free interst rate is 11%. The stock currently trades for $23 per share. Suppose that in two months, the stock will trade for either $18 per share or $29 per share. Use the one-period binomial option pricing to find...
A 9-month American put option on a non-dividend-paying stock has a strike price of $49. The stock price is $50, the risk-free rate is 5% per annum, and the volatility is 30% per annum. Use a three-step binomial tree to calculate the option price.
For a 3-month European put option on a stock: (1) The stock's price is 41. (ii) The strike price is 45. (iii) The annual volatility of a prepaid forward on the stock is 0.25. (iv) The stock pays a dividend of 2 at the end of one month. (v) The continuously compounded risk-free interest rate is 0.05. Determine the Black-Scholes premium for the option.
Problem 9. You are interested in pricing European and American put options on a stock using a four-period binomial model with notation and set-up as in Chapter 10 of the text. So = 30, u = 1.15, d= 0.78, h = 1,= 0, and r = 0.04 The European and American put options expire at the end of the 4th period and each has a strike price of 25. As in the text, r as a continuously compounded interest rate....
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