You have $$21,500$ in cash. You can deposit it today in a mutual fund earning $6\%$ interest, compounded quarterly. Or$,$ you can wait, enjoy some of it$,$ and invest $$20,000$ in your classmate's start$-$up business in $2$ years. Your classmate is promising you a return of $10\mathrm{.}5\%$ APR on your investment. Whichever investment you choose, you will need to cash in at the end of $10$ years from today. Assume your classmate is trustworthy $($so no worries $-$ you trust you will get your $10\mathrm{.}5\%)$ and both investments carry the same risk! Which one will you choose? $($Please do not base your answer on how much fun you will have spending that $$1,500$ over those $2$ years! That $$1,500$ is gone. It should NOT factor into your answer.$)$NOTES:$1.$ Please provide your calculator inputs and output for both options $($Mutual Fund and Classmate$).$ Even ifyou use the formulas instead of the calculator, please still provide the inputs$/$output as follows: N $=,$ I$/$Y$=($as $\%),$ PV $=,$ PMT $=,$ FV $=...$ Remember, your CY and PY calculator values should be set to $1\mathrm{.}2.$ Please enter ALL numbers as POSITIVE numbers even though you would need to enter a number as negative in your calculagor!