You will receive $$5,000$ a year in real terms for the next $6$ years. Each payment will be received at the end of the period with the first payment occurring one year from today. The relevant nominal discount rate is $9\mathrm{.}625$ percent and the inflation rate is $2\mathrm{.}3$ percent. What are your winnings worth today in real dollars?

Group of answer choices

$$20,781\mathrm{.}4$

$$19,367\mathrm{.}3$

$$19,137\mathrm{.}2$

$$20,413\mathrm{.}5$

$$23,715\mathrm{.}50$