Problem $3$: Back from the Future

Time$-$travel will be invented in a few decades and your future$-$self pays you a visit to give you some

advice. You meet outside Starbucks, just as you are about to order your favorite venti white m$$ocha$,$

quad shot $(2$ shots on bottom, $2$ on top$),$ almond milk, extra hot, caramel drizzle $($inside the cup$)$

with extra whip cream for $$8\mathrm{.}05.$

Your future$-$self begs you not to order the drink, arguing that you can invest the amount in

the S&P$500$ instead with an annual return of $8\%$ for the next $40$ years. If you do so$,$ how

much money will you have in $40$ years for every coffee you skip?

You skip the coffee for today! Also, your future$-$self informs you that you will attend two LSU

home football game every year, each of which will cost you about $$2,000$ and encourages you

to limit your trips to one per year. How much money would you have in $40$ years if you attend

only one game per year and invest the savings in the S&P$500$ with an annual return of $8\%?$