Present value of annuities

You won a lottery that will make equal payments of $$1,000$ at the end of each year for the next five years. If the annual interest rate stays constant at $6\%,$ what is the value of these payments in today's dollars? Round your answer to the nearest whole dollar.

$$3,580$

$$4,465$

$$4,212$

$$5,265$

You found out that now you are going to receive payments of $$6,500$ for the next $15$ years. You will receive these payments at the beginning of each year. The annual interest rate will remain constant at $15\%.$ What is the present value of these payments? Round your answer to the nearest whole dollar.

$$34,967$

$$38,008$

$$59,007$

$$43,709$