Use the Black-Scholes formula for the following stock: Time to expiration 6 months Standard deviation 46% per year Exercise price $48 Stock price $46 Annual interest rate 6% Dividend 0 Calculate the value of a put option. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Value of a put option
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- Put–Call Parity The current price of a stock is $33, and the annual risk-free rate is 6%. A call option with a strike price of $32 and with 1 year until expiration has a current value of $6.56. What is the value of a put option written on the stock with the same exercise price and expiration date as the call option?Binomial Model The current price of a stock is 20. In 1 year, the price will be either 26 or 16. The annual risk-free rate is 5%. Find the price of a call option on the stock that has a strike price of 21 and that expires in 1 year. (Hint: Use daily compounding.)A stock is trading at $80 per share. The stock is expected to have a yearend dividend of $4 per share (D1 = $4), and it is expected to grow at some constant rate, g, throughout time. The stock’s required rate of return is 14% (assume the market is in equilibrium with the required return equal to the expected return). What is your forecast of gL?
- Use 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 ?Use the Black-Scholes formula for the following stock: Time to expiration 6 months Standard deviation 55% per year Exercise price $51 Stock price $50 Annual interest rate 5% Dividend 0 Calculate the value of a call option. Note: Do not round intermediate calculations. Round your answer to 2 decimal places.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 option
- Use the Black-Scholes formula for the following stock: Time to expiration 6 months Standard deviation 60% per year Exercise price $57 Stock price $57 Annual interest rate 3% Dividend 0 Recalculate the value of the call with the following changes: a. Time to expiration 3 months b. Standard deviation 25% per year c. Exercise price $64 d. Stock price $64 e. Interest rate 6% Select each scenario independently. Note: Round your answers to 2 decimal places.Given the following information concerning options on a particular stock: Stock price = $84Exercise price = $65Risk-free rate = 4% per year, compounded continuouslyMaturity = 4 monthsStandard deviation =54% per year. What is the time value of the call option and of the put option?Estimate the "Rho" of the following option. Assume that there are 252 days in a trading year and thus exactly 6-months until expiration means 126 trading days until expiration. The option is a call option. The stock is trading at $1,000. The option has exactly 6-months until expiration. The option strike price is $1,050. The risk-free rate is 3%. The stock pays no dividends. Our best estimate of the stock's volatility is 40% annualized. Group of answer choices $.55 $1.12 $1.78
- Estimate the "Vega" of the following option. Assume that there are 252 days in a trading year and thus exactly 6-months until expiration means 126 trading days until expiration. The option is a call option. The stock is trading at $1,000. The option has exactly 6-months until expiration. The option strike price is $1,050. The risk-free rate is 3%. The stock pays no dividends. Our best estimate of the stock's volatility is 40% annualized. Group of answer choices $.26 $1.12 $2.82 $15.73The 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.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.
