1. Black-Scholes Model
Use the Black-Scholes model to find the price for a call option with the following inputs: (1) current stock price is $28, (2) strike price is $35, (3) time to expiration is 2 months, (4) annualized risk-free rate is 6%, and (5) variance of stock return is 0.31. Round your answer to the nearest cent. In your calculations round normal distribution values to 4 decimal places.
2. Binomial Model
The current price of a stock is $18. In 1 year, the price will be either $27 or $16. The annual risk-free rate is 3%. 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.) Round your answer to the nearest cent. Assume 365-day year. Do not round your intermediate calculations.
3. Binomial Model
The current price of a stock is $16. In 6 months, the price will be either $18 or $12. The annual risk-free rate is 3%. Find the price of a call option on the stock that has a strike price of $14 and that expires in 6 months. (Hint: Use daily compounding.) Round your answer to the nearest cent. Assume a 365-day year. Do not round your intermediate calculations.