Madeleine has invested money in the kitchen of her caf$.$ She believes the real terminal value of the equipment will be $$40,500$ in $5$ years. What is the nominal pre$-$tax terminal value in $5$ years if the inflation rate is $2\mathrm{.}5\%$ and the risk premium is $1\%?$

Group of answer choices

$$40,000$

$$45,822\mathrm{.}03$

$$40,500$

$$45,256\mathrm{.}33$