$1.$ You plan the following withdrawals from your bank account : $$500$ next year, $$1,000$ the following year and $$2,000$ the year after that.

If you can earn an annual rate of return of $8\%,$ what one$-$time deposit would you need to support the indicated withdrawals? $2.$ If the withdrawals in Question $1$ were deposits instead and you could earn $8\%$ per year, what would your balance be immediately after your last deposit?