1. Consider a two-period binomial model for a stock that currently trades at a price of $54. The stock price can go up 20% or down 17% each period, and the risk-free rate is 5%. Calculate the price of a put option expiring in two periods with an exercise price of $60.
(NO EXCEL. PLEASE SHOW YOUR WORK IN DETAIL)
2. Explain how currency futures could be used to hedge your business in Mexico.
3. Consider a call option with an exercise price of $50 on a stock with a price of $52.75 and a volatility of 0.35. The risk-free rate is 4.88%, and the option expires in 9 months. What is the fair value of the call option using the Black-Scholes model?
(NO EXCEL. PLEASE SHOW YOUR WORK IN DETAIL)