The current price of a non-dividend paying stock is $60. Use a two-step tree to valuean American put option on the stock with a strike price of $66 that expires in 2 years.Each step is 12 months, the risk free rate is 5% per annum, and the volatility is 30%.Which of the following is the closest to the option price?O $8.91O $11.41O $9.91O $12.41

American Put option gives right to sell the underlying at any point of time till expiry, at a given…

Answered: The current price of a non-dividend…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Consider an American Put option with time to expiry of 5 months and a strike price of 82. The current price of the underlying stock is 80. Divide the time to expiry into five 1-month intervals. In each interval, the stock price can either rise by 6, or fall by 6, with unknown probability. The risk-free rate is 4.2% per annum, continuously compounded. Use Binomial Model. What is the value of the option. Please provide necessary calculations.
When the non-dividend paying stock price is $20, the strike price is $20, the risk-free rate is 6% per year with continuous compounding, the volatility is 30% and the time to maturity is 3 months which of the following is the price of a European call option on the stock? 19.7N(0.175)-20N (0.025) 19.7N(0.025)-20N (0.175) 20N(0.175)-19.7N(0.025) O 20N(0.025)-19.7N(0.175)
7) Consider a European call option on a -dividend-paying stock where the stock price is $40, the strıke price is $40, the risk-free rate is 4% per annum, the volatility is 30% per annum, and the time to maturity is six months. A dividend of $1 is expected in 3 months' time a. Calculate u, d̟ and p for a two-step tree b. Value the option using a two-step tree. c. Value the option with 5 time steps using DerivaGem software.
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Assume a stock price is P120, and in next year, it will either rise by 10 percent or fall by 20 percent. The risk-free interest rate is 6%. A call option on this stock has an exercise price of P130. What is the chance that the stock price will rise? a. 93% b. 87% c. 50% d. 94%
V4. Using a two-step binomial tree, calculate the value of an American call option where the underlying stock pays a dividend of $1 per share just before the option’s expiration. The stock is trading at $22, the strike is $20, the risk-free rate is 4%. The option is outstanding for another two years (each step in the binomial tree is one year long). The stock is expected to rise or fall 10% in each one-year period prior to expiry. Can you please explain/show in Excel including formulas.
Consider a call option on one share of BP with a strike price of $70 and exercise time 1 quarter (3 months). Suppose the current stock price for BP is S(0) = $65 per share. Suppose further that A(0) = $100, A(1) = $102 and two possible prices for S(1) are S $74 with probability 0.5, S(1) = $66 with probability 0.5. Evaluate the expected returns E(Ks) and E(Kc) for the stock and the option.
What is the price of an American CALL option that is expected to pay a dividend of $2 in three months with the following parameters? s0 = $40d = $2 in 3 monthsk = $43 r = 10%sigma = 20%T = 0.5 years (required precision 0.01 +/- 0.01)
When the non-dividend paying stock price is $20, the strike price is $20, the risk-free rate is 5%, the volatility is 20% and the time to maturity is 3 months which of the following is the price of a European put option on the stock? N(.) denotes standard normal distribution values. O 20N(-0.1)-20N(-0.2) 20N(-0.2)-20N(-0.1) O 19.7N(-0.2)-20N(-0.1) O None of these O 19.7N(-0.1)-20N (-0.2)
The current price of a non-dividend paying stock is $30. Use a two-step tree to value a European put option on the stock with a strike price of $32 that expires in 6 months. Each step is 3 months, the risk free rate is 896, and u = 1.1 and d = 0.9. O $2.24 $2.44 $2.64 $2.84
A stock currently has a price of 45.00 and pays no dividends. One year from now, there is a 50% (risk-neutral) probability that the price of the stock will be 30.00 and 50% that it will be greater than 40.00. The risk-free rate is 4%. Calculate the price of a one-year European call option with an exercise price of 40.00. Possible Answer A 4.81 B 6.35 9.81 D 10.00 E 1135
A stock price is currently 40 and has a volatility of 10% and a dividend yield of 2%. the risk-free rate is 7%. what is the value of an american six-month put option with a strike price of 42 using a two-step tree? a. $1.85 b. $1.96 c. $2.36 d. $2.75

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