We Pay Insurance Company will pay you $$1,600$ each year for $20$ years. You want to earn a minimum interest rate of $1\mathrm{.}05$ percent per year. What is the most you are willing to pay today for these payments?

Choose the answer below that is closest:

$$45,614\mathrm{.}00$

$$86,307\mathrm{.}77$

$$199,046\mathrm{.}85$

$$28,728\mathrm{.}05$