What is the value today of a money machine that will pay $6,227.00 per year for 28.00 years? Assume the first payment is made today and that there are 28.0 total payments. The interest rate is 6.00%.

Derek will deposit $3,425.00 per year for 24.00 years into an account that earns 14.00%. The first deposit is made next year. How much will be in the account 24.0 years from today?

Derek will deposit $1,807.00 per year for 26.00 years into an account that earns 18.00%, The first deposit is made next year. How much will be in the account 39.00 years from today?

Derek will deposit $2,211.00 per year for 22.00 years into an account that earns 8.00%. The first deposit is made today. How much will be in the account 22.0 years from today? Note that he makes 22.0 total deposits.

Derek will deposit $2,706.00 per year into an account starting today and ending in year 25.00. The account that earns 10.00%. How much will be in the account 25.0 years from today?

Derek has the opportunity to buy a money machine today. The money machine will pay Derek $21,866.00 exactly 14.00 years from today. Assuming that Derek believes the appropriate discount rate is 9.00%, how much is he willing to pay for this money machine?