1. what is the value today of a money machine that will pay $2031 per year for 17 years? asuume first payment is made one year today and interest rate is 14%

2. derek will deposit $4906 per year for 12 years into an account that earns 15%. assuming first deposit is made 6 years from today how much will be in the account in 33 years?

3. what is the value today of receiving $2178 ped year forever? first payment made next year and discount rate 11%