Suppose you think AppX stock is going to appreciate substantially in value in the next year. Say the stock$$s current price, S$0,$ is $$120,$ and a call option expiring in one year has an exercise price, X$,$ of $$120$ and is selling at a price, C$0,$ of $$5.$ With $$12,000$ to invest, you are considering three alternatives.

Invest all $$12,000$ in the stock, buying $100$ shares.

Invest all $$12,000$ in $2,400$ options $(5$ contracts$).$

Buy $100$ options $($one contract$)$ for $$500,$ and invest the remaining $$11,500$ in a money market fund paying $5\%$ annual interest.

What is your rate of return for each alternative for the following four stock prices in one year?