You have won a lottery that promises to pay you $6900 every two years with the payments lasting forever. The first payment will be made to you, 2 years from now. You want to open an account with 10% APR compounded semi-annually in the name of your nephew and direct your winnings to that account in exchange for his car which is worth $32,000 today.
Answer the following questions:
- What is the effective interest rate applicable to the lottery payments.
- What is the present value of the winnings?