Reference no: EM131140450

An investor is said to take a position in a "collar" if he buys the assets, buys an out-of-the-money put option on the asset, and sells an out-of-money call option on the asset. The two options should have the same time to expiration. Suppose Marie wishes to purchase a collar on Hollywood, Inc., a non-dividend-paying common stock, with six months until expiration. She would like the put to have a strike price of $50 and the call to have a strike price of $120.00. The current price of Hollywood's stock is $80 per share. Marie can borrow and lend at the continuously compounded risk-free rate of 10 percent per annum, and the annual variance of Hollywood's continuously compounded returns is 0.25. Use the Black-Scholes model to calculate the total cost of the collar that Marie is interested in buying