A payment schedule requires 25 annual payments of $20,000, the first payment to be made 10 years from today. Using a discount rate of 8%, what is the present value of this series of payments?

2. Assume the payment schedule in problem 1 changes as follows: . the payment 15 years from today is waived, and . a payment of $30,000 is made 18 years from today. The other payments are unchanged. Using a discount rate of 10%, what is the present value of this series of payments?