Question $10(1$ point$)$

You are in negotiations to make a $7-$year loan of $$25,000$ to DeVille Corporation. To repay you, DeVille will pay $$2,500$ at the end of Year $1,$ $$5,000$ at the end of Year $2,$ and $$7,500$ at the end of Year $3,$ plus a fixed but currently unspecified cash flow, X$,$ at the end of each year from Year $4$ through Year $7.$ You are confident the payments will be made, since DeVille is essentially riskless. You regard $8\%$ as an appropriate rate of return on a low risk but illiquid $7$ year loan. What cash flow must the investment provide at the end of each of the final $4$ years, that is$,$ what is $x?$

$$4,271\mathrm{.}67$

$$4,496\mathrm{.}49$

$$4,733\mathrm{.}15$

$$4,969\mathrm{.}81$

$$5,218\mathrm{.}30$