You have $$21,500$ in cash. You can deposit it today in a mutual fund earning $6\%$ interest, compounded quarterly. Or$.$ vou can wait, enio some of it$.$ and invest S$20\mathrm{.}000$ in vour classmate's start$-$up business in $2$ years. Your classmate is promising you a return of $10\mathrm{.}5\%$ APR on your investment. Whichever investment you choose, you will need to cash in at the end of $10$ ears from today. Assume your classmate is trustworthy $($so no wornes $-$ you trust you will get your $10\mathrm{.}5\%)$ and both investments carry the same risk! Which one will you choose? $($Please do not base your answer on how much fun you will have spending that $$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 calculator!Option $1.$ Mutual FundINS$40$I$/$Y $=($as percent, e$.$g$.10\mathrm{.}25$ for $10\mathrm{.}25\%)1\mathrm{.}5$ v $\%$PV $=21500$PMT $=0$ vFV $=39000\mathrm{.}47$Option $2.$ ClassmateN$=8$ vI$/$Y $=($as percent, e$.$g$.10\mathrm{.}25$ for $10\mathrm{.}25\%)10\mathrm{.}5$ ~ $\%$PV $=200000\backslash$times PMT $=$FV $=42964\mathrm{.}82\backslash$times A Kaan Alaman at Chapm$30$