A stock is currently trading at £65. Interest rates are 3% per year continuously compounded. Use the Black & Scholes formula to compute the price of a put option on the stock with strike price £60, maturity 3 months and implied volatility 55%. Please show all your calculations step by step.
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Question:
A stock is currently trading at £65. Interest rates are 3% per year continuously compounded. Use the Black & Scholes formula to compute the price of a put option on the stock with strike price £60, maturity 3 months and implied volatility 55%. Please show all your calculations step by step.
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- A stock is currently trading at £65. Interest rates are 3% per year continuously compounded. Use the Black & Scholes formula to compute the price of a put option on the stock with strike price £60, maturity 3 months and implied volatility 55%. Please show all your calculations step by step.Use the Black-Scholes formula to find the value of the put option using the next data: Stock price: $5.03 Time to expiration: 176 days (365 days in a year) The volatility of a stock return: 65% per year Strike price: $5 Risk-free interest rate: 1% per yearUse the Black-Scholes formula for the following stock: Time to expiration 6 months Standard deviation 42% per year Exercise price $44 Stock price $43 Annual interest rate 2% Dividend 0 Calculate the value of a call option. (Round to 2 decimal places.) Value of a call option ?
- You are given the following information concerning options on a particular stock: Stock price= Exercise price= Risk-free rate= Maturity= Standard deviation= $83 Intrinsic value=$ $80 6% per year, compounded continuously 6 months 47% per year (a)What is the intrinsic value of the call option? (Please keep two digits after the decimal point.) (b)What is the time premium of the call option? (Please keep two digits after the decimal point.) Time premium of the call option=$Find the implied volatility (to 2 decimals, for example, �=8.23% ) of a Put option with a time to expiration of 11 months and a price of $6.13 The stock is currently trading at $47. The riskless rate is 2% per annum, and the strike/exercise price of the option is $50. Hint: compute the Put price using the same formula as in exercise 4 , as a function of the volatility �. Then use Solver to change the volatility cell in order to obtain a price of $6.13 \table[[�1=,-0.0614997,,So =,47],[�2=,,4,�=,50],[,,,�=,2%The current price of a stock is $18. In 1 year, the price will be either $28 or $15. The annual risk-free rate is 3%. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the question below. X Open spreadsheet Find the price of a call option on the stock that has a strike price is of $23 and that expires in 1 year. (Hint: Use daily compounding.) Assume 365-day year. Do not round intermediate calculations. Round your answer to the nearest cent. $
- Consider the following information on a particular stock: Stock price = $89 Exercise price = $85 Risk-free rate = 3% per year, compounded continuously Maturity = 8 months Standard deviation = 59% per year 1. What is the delta of a call option? 2. What is the delta of a put option?A stock currently trades at $40, and the volatility of its return is 10%. The continuously compounded rate of interest is 12%. Consider a call option struck at $45, with 75 days to expiration (recall that there are 251 trading days in one year). a) What is the price of the option (rounded to the nearest cent)? Answer = $ . b) What is the option's delta (rounded to four decimal places)? Answer = . c) Use your answer from (b) to estimate the value of the option tomorrow, assuming the stock is trading at $40.95 at that time? Answer = $ . d) What is the exact value of the option tomorrow, assuming the stock is trading at $40.95 at that time? Answer = $ . [Note: Use software to compute the values of the normal CDF, not the table.]Use the Black-Scholes formula for the following stock: Time to expiration Standard deviation Exercise price Stock price Annual interest rate Dividend 6 months 43% per year $58 $57 2% 0 Calculate the value of a call option. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Value of a call option
- Assume that you have shorted a call option on Intuit stock with a strike price of $40. The option will expire in exactly three months' time. a. If the stock is trading at $55 in three months, what will you owe? b. If the stock is trading at $35 in three months, what will you owe? c. Draw a payoff diagram showing the amount you owe at expiration as a function of the stock price at expiration. a. If the stock is trading at $55 in three months, what will you owe? If the stock is trading at $55 in three months, you will owe $ (Round to the nearest dollar.)Use the Black-Scholes formula for the following stock: Time to expiration 6 months Standard deviation 52% per year Exercise price $53 Stock price $51 Annual interest rate 2% Dividend 0 Calculate the value of a put option. (Round to 2 decimal places). Value of a put optionThe current price of a stock is $20. In 1 year, the price will be either $28 or $15. The annual risk-free rate is 7%. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the question below. Find the price of a call option on the stock that has a strike price is of $25 and that expires in 1 year. (Hint: Use daily compounding.) Assume 365-day year. Do not round intermediate calculations. Round your answer to the nearest cent.
