Calculate the present value of receiving $$2,300$ per year, with certainty, for the next $20$ years. Infer rates for the missing years using linear interpolation.Rate $($EAR $\%)$: $1$ year $-2\mathrm{.}06,2$ years $-2\mathrm{.}38,3$ years $-2\mathrm{.}79,5$ years $-3\mathrm{.}31,7$ years $-3\mathrm{.}85,10$ years $-4\mathrm{.}31,20$ years $-4\mathrm{.}99$