Derek will deposit $427.00 per year into an account starting today and ending in year 23.00. The account that earns 11.00%. How much will be in the account 23.0 years from today?

Derek has the opportunity to buy a money machine today. The money machine will pay Derek $34,669.00 exactly 14.00 years from today. Assuming that Derek believes the appropriate discount rate is 12.00%, how much is he willing to pay for this money machine?