Iris is discounting the amount of $$10,000$ that she wants in $3$ years to find the one lump$-$sum amount that she needs to invest today in an account with $7\mathrm{.}8\%$ annual interest rate. Which formula below should she apply to calculate the deposit amount that is needed today?

$($:$PV=10,{000}^3\}$

$PV=10,{000}^{**}(1+\mathrm{.}078{)}^3$