IBM stock currently sells for 49 dollars per share. Over 12 months the price will either go by 11.5 percent or down by -7.0 percent. The risk-free rate of interest is 4.5 percent continuously compounded. What is the value of a call option with strike price 51 and maturity 12 months?
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- IBM stock currently sells for 49 dollars per share. Over 12 months the price will either go by 11.5 percent or down by -7.0 percent. The risk-free rate of interest is 4.5 percent continuously compounded. What is the value of a put option with strike price 51 and maturity 12 months?IBM stock currently sells for 49 dollars per share. Over 12 months the price will either go by 11.5 percent or down by -7.0 percent. The risk-free rate of interest is 4.5 percent continuously compounded. What is the delta of a put option with strike price 51 and maturity 12 months?A stock is currently trading at $42. Over the next 3 periods, it is expected to go up by 10% or down by 10%. Assume that the risk-free rate of interest is 6% per annum. a. What is the value of a three-month American call option with an exercise price of $40? b. What is the value of a three-month American put option with an exercise price of $46?
- IBM stock currently sells for 84 dollars per share. Over 8 months the price will either go up by 7.5 percent or down by -3.0 percent. The risk-free rate of interest is 4.5 percent continuously compounded. A call option with strike price 83 and maturity of 8 months has a delta of 0.82766. What is the value of this call option? 0.62579 O2.6708 O4.0788 2.9324 O4.3788A stock is currently selling for $55 per share. A call option with an exercise price of $65 sells for $3.85 and expires in six months. If the risk-free rate of interest is 3.5 percent per year, compounded continuously, what is the price of a put option with the same exercise price?A stock price is currently $10. Over each of the next two three - month periods it is expected to go up by 10 percent or down by 10 percent. The risk - free interest rate is 6.184 percent per annum,the interest rate is a simple interest rate(use continuous compounding to get proper rf). The strike price is $10. Calculate the call option price and the put option price.
- The price of a stock is currently $20. Over each of the next two three-month periods, the stock can go up by 10% or down by 10%. The risk free interest rate is 12% per annum with continuous compounding. (a) What is the current value of a six-month European put option with a strike price of $22? (b) What is the current value of a six-month American put option with a strike price of $22?The stock price is currently $30. Each month for the next two months it is expected to increase by 8% or reduce by 10%. The risk-free interest rate is 5%. Use a two-step tree to calculate the value of a derivative that pays off [max(30 — St； 0)]2, where St is the stock price in two months? If the derivative is American-style, should it be exercised early?Suppose the stock price is $20 today. In the next six months it will either fall by 50 percent or rise by 50 percent. What is the current value of a call option with an exercise price of $15 and expiration of one year? The six-month risk-free interest rate is 10 percent (periodic rate). Use the two-stage binomial method. $7.86 $2.14 $8.23 $8.93
- Consider a European call option on a stock with current price $100 and volatility 25%. The stock pays a $1 dividend in 1 month. Assume that the strike price is $100 and the time to expiration is 3 months. The risk free rate is 5%. Calculate the price of the the call option.IBM stock currently sells for 100 dollars per share. The implied volatility equals 20.0. The risk-free rate of interest is 4.0 percent continuously compounded. What is the value of a call option with strike price 95 and maturity 6 months? Answer should be to the nearest cent (2 decimal places).A stock price is currently $100. Over each of the next two three-month periods it is expected to increase by 10% or fall by 10%. Consider a six-month European put option with a strike price of $95. The risk-free interest rate is 8% per annum, compounded continuously. What is the value of the option if it is American?