In: Finance
1.The current price of a stock is $21. In 1 year, the price will be either $27 or $15. The annual risk-free rate is 6%. 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.
2.The current price of a stock is $15. In 6 months, the price will be either $20 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 $13 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.
Sol:
Calculation of price of call option:
2. Higher price = $20
Lower price =$ 12
Current price = $ 15
Strike price = $13
Risk free rate = 0.03