Question

In: Finance

A stock is currently selling for $50. The stock price could go up by 10 percent...

A stock is currently selling for $50. The stock price could go up by 10 percent or fall by 5 percent each month. The monthly risk-free interest rate is 1 percent. Calculate the price of an American put option on the stock with an exercise price of $55 and a maturity of two months. (Use the two-stage binomial method.)

A. $5.10

B. $3.96

C. $4.78

D. $1.19

Why is it A

Solutions

Expert Solution

where interest rate = monthly rate*12 = 1*12 = 12%

Time period t in years = 1/no. of months in a year = 1/12 = 0.08333


Related Solutions

Consider a stock which is currently selling at $4.5. The stock price will either go up...
Consider a stock which is currently selling at $4.5. The stock price will either go up to $5 + x with probability 0.5 or go down to $5 − x with probability 0.5 one period later. The one-period riskless rate of interest is 5%. a) What are the market prices of at-the-money put options that expire at the end of the period when x is set equal to $0.5, $1, $1.5, $2, and $2.5, respectively? b) Plot the one-period put...
Consider a stock which is currently selling at $4.5. The stock price will either go up...
Consider a stock which is currently selling at $4.5. The stock price will either go up to $5 + x with probability 0.5 or go down to $5 − x with probability 0.5 one period later. The one-period riskless rate of interest is 5%. (a) What are the market prices of at-the-money call options that expire at the end of the period when x is set equal to $0.5, $1, $1.5, $2, and $2.5, respectively?
A stock priced at 50 can go up or down by 10 percent over two periods....
A stock priced at 50 can go up or down by 10 percent over two periods. The risk-free rate is 4 percent. Which of the following is the correct price of an American put with an exercise price of 50? (10 points)
Suppose a stock currently trades at a price of 150. The stock price can go up...
Suppose a stock currently trades at a price of 150. The stock price can go up 33% or down 15%.The risk free rate is 4.5% 1. use a one period binomial model to calculate the price of a put option with exercise price of 150. 2. Suppose the put price is currently 14, show how to execute an arbitrage transaxtion that will earn more than the risk free rate . use 10,000 put options. 3. Suppose the put price is...
A stock price is currently $50. A stock price is currently $50. Over each of the...
A stock price is currently $50. A stock price is currently $50. Over each of the next two three-month periods it is expected to go up by 6% or down by 5%. The risk-free interest rate is 5% per annum with continuous compounding. Use two-period binomial models to value the six-month options on this stock. Remember to show detailed calculations of the option value at each node. (a) What is the value of a six-month European call option with a...
A stock price is currently $50. A stock price is currently $50. Over each of the...
A stock price is currently $50. A stock price is currently $50. Over each of the next two three-month periods it is expected to go up by 6% or down by 5%. The risk-free interest rate is 5% per annum with continuous compounding. Use two-period binomial models to value the six-month options on this stock. Remember to show detailed calculations of the option value at each node. (a) What is the value of a six-month European call option with a...
Consider a stock currently trading at 25 that can go up or down by 15 percent...
Consider a stock currently trading at 25 that can go up or down by 15 percent per period. The risk-free rate is 10 percent. Use one-period binomial model. a. Determine the two possible stock prices for the next period. b. Determine the intrinsic values at expiration of a European call with an exercise price of 25. c. Find the value of the option today. d. Construct a hedge by combining a position in stock with a position in the call....
Consider a stock currently trading at 25 that can go up or down by 15 percent...
Consider a stock currently trading at 25 that can go up or down by 15 percent per period. The risk-free rate is 10 percent. Use one-period binomial model. A. Determine the two possible stock prices for the next period. B. Determine the intrinsic values at expiration of a European call with an exercise price of 25. C. Find the value of the option today. D. Construct a hedge by combining a position in stock with a position in the call....
The stock price is currently $50. The stock price annual up-move factor is 1.15. The risk-free...
The stock price is currently $50. The stock price annual up-move factor is 1.15. The risk-free rate is 3.9%. What is the value of a 1-year European call option with an exercise price of $52. $ 3.21 $ 2.38 $ 2.73 $ 1.95
A stock price is $100 now. In one month it can go 10% up or down....
A stock price is $100 now. In one month it can go 10% up or down. In the second month it can go 10% up or down. The annual interest rate is 10% with continuous compounding. Use risk-­‐free portfolios to determine the value of: (do not use probabilities) a) A two-­‐month European call with strike price 100 b) A two-­‐month European call with strike price 104
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT