A pension fund manager must meet the following future liability

payments at the end of each of the next four years. If the manager's

investment will generate an annual interest rate of $6\mathrm{.}50\%,$ how much

must be invested to satisfy the liability stream $?$

Year $1$: $$200,000$

Year $2$: $$400,000$

Year $3$: $$600,000$

Year $4$: $$800,000$

Year $5$: $$1,000,000$