The portfolio manager of a tax$-$exempt fund is considering investing $$500,000$ in a debt instrument that pays an annual interest rate of $5\mathrm{.}7\%$ for four years. At the end of four years, the portfolio manager plans to reinvest the proceeds for three more years and expects that for the three$-$year period, an annual interest rate of $7\mathrm{.}2\%$ can be earned. What is the future value of this investment?

A$)$ $$968,872\mathrm{.}47$

B$)$ $$568,872\mathrm{.}47$

C$)$ $$768,872\mathrm{.}47$

D$)$ $$1,368,872\mathrm{.}47$

B

C

D

$$ A