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1.A payment schedule requires 20 payments of $10,000, the first payment to be made 15 years from today. Assuming a discount rate of 10%, what is the

1.                A payment schedule requires 20 payments of $10,000, the first payment to be made 15 years from today. Assuming a discount rate of 10%, what

              is the present value of this series of payments?                                                                                                      

1b.                Assume the payment schedule in problem 1 changes as follows:

.  the payment 17 years from today is waived, and

.  a payment of $20,000 is made 18 years from today.

Assuming a discount rate of 10%, what is the present value of this series

             of payments?                                                                 

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