Question

In: Finance

Consider a binomial tree problem for an American option. A stock price is currently $50. Over...

Consider a binomial tree problem for an American option.

A stock price is currently $50. Over each of the next two 3-month periods it is expected to go up by 7% or down by 6%. The risk-free interest rate is 5% per annum with continuous compounding. What is the value of a 6-month American put option with a strike price of $51?

Solutions

Expert Solution


Related Solutions

Consider the following case of a binomial option pricing. A stock is currently trading at $50....
Consider the following case of a binomial option pricing. A stock is currently trading at $50. Next period the stock price can go up to Smax or down to Smin.The call option with the exercise price of $50 is currently trading at $9.14. The risk-free rate is 7.5% and the hedge ratio is 5/7. Calculate numerical values of Smax and Smin.
Use a 2-step binomial tree to price an american style put option when the current stock...
Use a 2-step binomial tree to price an american style put option when the current stock price is $50 and the stock price will move up or down by 20 percent at each time(that is, the ending stock price are $72,$48, and $32). The strike price on the option is $52 and the risk-free interest rate is 5 percent per step. Please report your answer to two decimal places.
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 which is currently selling for $50. Construct a two-step binomial tree, 1-month and...
Consider a stock which is currently selling for $50. Construct a two-step binomial tree, 1-month and 2-months respectively for each of the two steps. The stock market volatility is 30%, the rate of interest is assumed to be 5% and the exercise price is $52. (i) Calculate the price of an American Put. (ii) Provide a graphical illustration to demonstrate how the put price and the put payoff change with respect to changes in the stock price. (iii) Put all...
Consider a stock which is currently selling for $50. Construct a two-step binomial tree, 1-month and...
Consider a stock which is currently selling for $50. Construct a two-step binomial tree, 1-month and 2-months respectively for each of the two steps. The stock market volatility is 30%, the rate of interest is assumed to be 5% and the exercise price is $52. (i) Calculate the price of an American Put. (ii) Provide a graphical illustration to demonstrate how the put price and the put payoff change with respect to changes in the stock price. (iii) Put all...
Calculate three step Binomial tree call option price please. Stock price = 124.2862, Strike price =...
Calculate three step Binomial tree call option price please. Stock price = 124.2862, Strike price = 120, Volatility = 20%, Interest rate= 0.15%, Days to expiration = 247 days / 365 days Thank you so much
The current price of a non-dividend paying stock is $50. Use a two-step binomial tree to...
The current price of a non-dividend paying stock is $50. Use a two-step binomial tree to value a European call option on the stock with a strike price of $52 that expires in 6 months, so each step is 3 months, the risk free rate is 4% per annum with continuous compounding. What is the option price when u = 1.1 and d = 0.9
The current price of a non-dividend paying stock is $50. Use a two-step binomial tree to...
The current price of a non-dividend paying stock is $50. Use a two-step binomial tree to value a European call option on the stock with a strike price of $52 that expires in 6 months, so each step is 3 months, the risk free rate is 4% per annum with continuous compounding. What is the option price when u = 1.1 and d = 0.9? Please enter your answer rounded to two decimal places (and no dollar sign).
Consider a one-step binomial tree on stock with a current price of $200 that can go...
Consider a one-step binomial tree on stock with a current price of $200 that can go either up to $230 or down to $170 in 2 years. The stock does not pay dividend. Continuously compounding interest rate is 5%. Use the tree to compute the value of a 2-year $210-strike European call option on the stock. Answer in four decimal place.
Consider a two-period binomial model in which a stock trades currently at $44. The stock price...
Consider a two-period binomial model in which a stock trades currently at $44. The stock price can go up 6% or down 6% each period. The risk free rate is 2% per period. A) Calculate the price of a call option expiring in two periods with an exercise price of $45. B) Calculate the price of a put option expiring in two periods with an exercise price of $45.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT