Suppose you think AppX stock is going to appreciate substantially in value in the next year. Say the stock$$s current price, S$0,$ is $$125,$ and a call option expiring in one year has an exercise price, X$,$ of $$125$ and is selling at a price, C$0,$ of $$8.$ With $$16,000$ to invest, you are considering three alternatives.

Invest all $$16,000$ in the stock, buying $128$ shares.

Invest all $$16,000$ in $2,000$ options $(8$ contracts$).$

Buy $100$ options $($one contract$)$ for $$800,$ and invest the remaining $$15,200$ 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?