You have borrowed $$5000$ from a friend. He has told you that the loan is interest free for $2$ years, and then $1\%$ per month after that. You plan to repay the entire loan in one lump sum payment in $4$ years time. How much will you have to repay?

Group of answer choices

$$6397\mathrm{.}50$

$$6840\mathrm{.}29$

$$7090\mathrm{.}42$

$$6096\mathrm{.}40$

$$6348\mathrm{.}67$