Please calculate the price of a put option that matures in 2 months with a strike price of $58. Assume the risk free rate is 3% /month. 50 Month 1 A. 7.29 B. 1.07 OC.11.3 OD.O 62.5 Month 2 78.125 56.25 40.5
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- A. What is the price of a call option with a strike of $80 and a maturity of 2.5 years? The underlying asset is currently trading at $75. The risk-free rate is 6% and the volatility of the underlying asset is 64% B. What is the price of a put option with an identical strike price? C. Calculate the delta, theta, and vega of the call option. Express theta per month and verga per 1% increase in volatility. D. After 5 months the price has gone up by $10 and the volatility by 10%. Using delta, theta, and vega that you have calculated, what is the total change in value of the option?Assume that K=61, St =65, t = 0.25 (i.e. time to expiry is 3 months), and the risk-free rate is 0.04. The current price of the put option is p = 4. If the price of the call option is 7.17, describe the arbitrage that would be possible, and calculate the profit that would result.Give typing answer with explanation and conclusion A call option has a strike price of $11, and a time to expiration of 0.8 in years. If the stock is trading for $20, N(d1) = 0.5, N(d2) = 0.12, and the risk free rate is 5.40%, what is the value of the call option?
- Consider a put option written on an underlying security that has a current value of $100 and has a volatility of 25% (i.e. .25). The put has a strike price of $100 and expires in 1 year. The risk-free rate is 3% (.03). If the time to expiration is changed from 1 to 2 to 3 years, what happens to the value of vega (the change in the put value given a percentage point change in the volatility – say from 25% to 26%)? (Note: vega is defined in note N16 on page 8; see ). What is the comparison of the change in vega (given a change from 1 to 2 to 3 years to expiration) if the strike price is $105 (relative to if the strike is $100)?Which one of the following offers provides the highest return? Investment Option APR (Annual Percentage Rate) D A B C D 17.50% 18.00% 18.50% 17.00% A C You are indifferent among the options. C and D B Frequency of interest payment (in a year) 12 2 1 48Consider a European Call Option with a strike of 82. The current price of the underlying asset is 80, and the time to expiry is 5 months. The current market price of the option is 6.22. The risk-free rate is 4.1%. (a) Find the implied volatility of the underlying. Provide all necessary calculations.
- Consider the following data for a certain share. Current Price = S0 = Rs. 80 Exercise Price = E = Rs. 90 Standard deviation of continuously compounded annual return = \sigma = 0.5 Expiration period of the call option = 3 months Risk – free interest rate per annum = 6 percent a. What is the value of the call option? Use the normal distribution table. b. What is the value of a put option?What are the prices of a call option and a put option with the following characteristics? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) Stock price = $76 Exercise price = $75 Risk-free rate = 4.50% per year, compounded continuously Maturity = 4 months Standard deviation = 63% per year Call price $ Put price $What are the prices of a call option and a put option with the following characteristics? Stock price = $93 Excerise price = $90 Risk - free rate = 4% per year, compounded continuously Maturity = 5 months Standard deviation = 62% per year
- Consider the following data for a certain share. Current Price = So = Rs. 80 Exercise Price = E = Rs. 90 Standard deviation of continuously compounded annual return = 0 = 0.5 Expiration period of the call option 3 months Risk – free interest rate per annum = 6 percent a. What is the value of the call option? Use the normal distribution table. b. What is the value of a put option?A put option and a call option with an exercise price of $115 and three months to expiration sell for $5.45 and $8.75, respectively. If the risk-free rate is 2.0% per year, compounded continuously, what is the current stock price? $111.13 $121.13 $117.73 $112.40Consider a put option whose underlying asset is a stock index with 6 months to expiration and a strike price of $1000. Suppose the risk-free interest rate for the six months is 2% and that the option’s premium is $74.20. (a) Find the future premium value in six months. (b) What is the buyer’s profit is the index spot price is $1100? (c) What is the buyer’s profit is the index spot price is $900 Only typed answer