$3.$ An investor with $$64,000$ to invest feels that NextEra Energy$$s $($NYSE: NEE$)$ stock price

will go up over the next six months. The current stock price is $$64$ and the price of a six$-$

month call option with a strike of $65$ is $$4$ per share. The investor can invest the money in

the stock or in stock option.

a$)$ If the stock price turns out to be $$80$ per share in six months and answer the following

questions.

i$.$ If the investor invests all his money in the stock, how much is his profit?

ii$.$ If the investor invests all his money in the option, how much is his profit?

b$)$ If the stock price turns out to be $$65$ per share in six months, repeat the two questions

in part a$)$ and calculate the loss on the stock and option.

c$)$ How high does the stock price have to rise for the option strategy to be as profitable as

an investment in the stock?