Consider a stock worth K12.50 that can go up or down by 15% per period. Assume a period process of one. The risk-free rate is 10%. Find the value of the call option today with the strike price of K11.50.
Value of call option can be stated as
Strike Price / Growth Rate - Risk free rate
= 11.5 k / (0.15 - 0.1) = 230
Consider a stock worth K12.50 that can go up or down by 15% per period. Assume...
Consider a binomial world in which the current stock price of 80 can either go up by 10 percent or down by 8 percent. The risk-free rate is 4 percent. Assume a two-period world. Answer the following: What is the value of the call if the stock goes up, then down? What is the hedge ratio if the stock goes down one period? What is the current value of the call?
Consider a binomial world in which the current stock price of 80 can either go up by 10 percent or down by 8 percent. The risk-free rate is 4 percent. Assume a one-period world. Answer questions 12 through 15 about a call with an exercise price of 80.What is the current value of the call?2 period (please show your work ) a. 8.00 b. 7.30 c. 11.13 d. 0.619 e. none of the above
A stock selling at $50 will either go up 20% or go down 10% each month for the next 3 months. The risk-free rate is 12% per annum with continuous compounding. Assume that a European put option is available for a strike price of $55 and a maturity of 3 months. a. Use a 3-step binomial model to calculate the price of the put option.
The current price of Estelle Corporation stock is $25. Its stock price will either go up by 20% or go down by 20% in one year. The stock pays no dividends. The one-year risk-free interest rate is 6%. Using the binomial model, calculate the price of a one-year call option on Estelle stock with a strike price of $25. The price of a one-year call option on Estelle stock with a strike price of $25 is $ (Round to the...
price of a non-dividend-paying stock is currently $40. periods it will go up by 5% or down with continuous com- 1. (30 points) The Over each of the next two four-month by 3%: The risk free interest rate is 3% per annum pounding. Consider an eight-month option on the stock, with a strike price of $41. a) (5 points) What is the rick-neutral probability (P- 1-p)? b) (10 points) What is the price of the option if it is a...
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.
JP Morgan’s stock price is currently $100. Over the next year it is expected to go up by 20% or down by 10%. The risk-free interest rate is 8% per annum with continuous compounding. The expected rate of return on JP Morgan is 15% per annum with continuous compounding. What is the expected rate of return on a one-year European call option with a strike price of $100?
Consider ABC stock is currently selling at $90. Assume that next period the stock price will be either $117 or $80. Assume also that there is a call option with exercise price of $92 and risk free interest rate is 4%. i. Show the evolution of both ABC stock price and call option written on it. ii. Find the no arbitrage value of the call option using BOP. iii. Suppose the call option currently is trading at $16 in the...
The current price of Estelle Corporation stock is $ 25.00. In each of the next two years, this stock price will either go up by 23 % or go down by 23 %. The stock pays no dividends. The one-year risk-free interest rate is 5.3 % and will remain constant. Using the Binomial Model, calculate the price of a one-year put option on Estelle stock with a strike price of $ 25.00.
1. A stock price is currently $100. Over each of the next two six-month periods it is expected to go up by 10% or down by 10%. The risk-free rate is 8% per annum with continuous compounding. (a) What is the value of a one-year European call option with a strike price of $100? (b) What is the value of a one year European put option with a strike price of $100? (c) What is the value of a one-year...