Dorothy Taylor just learned that she received an inheritance from her grandmother. The inheritance provides for Dorothy to receive $$4900$ per year at the end of the year for each of the next $4$ years. Assuming a discount rate of $9\%,$ what is the value of this inheritance to Dorothy today?

$\backslash$table$[[$Type of Cash Flow,Periods,Interest Rate,Factor$],[$PV of $$1,4,9\%,0\mathrm{.}7084],[$FV of $$1,4,9\%,1\mathrm{.}4116],[$PV ordinary annuity,$4,9\%,3\mathrm{.}2397],[$FV ordinary annuity,$4,9\%,4\mathrm{.}5731],[$PV annuity due,$4,9\%,3\mathrm{.}5313]]$

$$12403$

$$17303$

$$22408$

$$15875$