Suppose you think AppX stock is going to appreciate substantially in value in the next year. Say the stock$$s current price, S$0,$ is $$50,$ and a call option expiring in one year has an exercise price, X$,$ of $$50$ and is selling at a price, C$,$ of $$9.$ With $$18,900$ to invest, you are considering three alternatives.

a$.$ Invest all $$18,900$ in the stock, buying $378$ shares.

b$.$ Invest all $$18,900$ in $2,100$ options $(21$ contracts$).$

c$.$ Buy $100$ options $($one contract$)$ for $$900,$ and invest the remaining $$18,000$ in a money market fund paying $6\%$ in interest over $6$ months $(12\%$ per year$).$

What is your rate of return for each alternative for the following four stock prices in $6$ months? $($Leave no cells blank $-$ be certain to enter $"0"$ wherever required. Negative amounts should be indicated by a minus sign. Round the "Percentage return of your portfolio $($Bills $+100$ options$)"$ answers to $2$ decimal places.$)$

The total value of your portfolio in six months for each of the following stock prices is:

The percentage return of your portfolio in six months for each of the following stock prices is: