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 44 dollars per share. Over 5 months the price will either go up by 13.5 percent or down by -6.5 percent. The risk-free rate of interest is 7.0 percent continuously compounded. What is the delta of a put option with strike price 45 and maturity of 5 months? -0.56136 -0.11364 -0.43864 0.43864 0.56136A 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?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 $8.93Consider 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.
- 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?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).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 delta of a call option with strike price 95 and maturity 6 months? Answer should be to 4 decimal places.