How tQuestion $9$ You plan to make a series of deposits in an individual retirement account. You will deposit $$1,000$ today, $$2,000$ in two years, and $$2,000$ in five years. If you withdraw $$1,500$ in three years and $$1,000$ in seven years, assuming no withdrawal penalties and an interest rate of $7$ percent,

a$)$ What is the present value of these cash flows?

b$)$ How much will you have after eight years?