Question

In: Finance

Annie receives an annuity of $45,000, payable once every 3 years for the next 21 years....

Annie receives an annuity of $45,000, payable once every 3 years for the next 21 years. The first payment occurs exactly 3 years from today. The required rate of return is 5%. Calculate the present value of this annuity. (Round to 2 decimals)

Solutions

Expert Solution

present value of this annuity is $183,014.08
Statement showing Cash flows
Particulars Time PVf 5% Amount PV
Cash inflows                      3.00                  0.8638            45,000.00            38,872.69
Cash inflows                      6.00                  0.7462            45,000.00            33,579.69
Cash inflows                      9.00                  0.6446            45,000.00            29,007.40
Cash inflows                    12.00                  0.5568            45,000.00            25,057.68
Cash inflows                    15.00                  0.4810            45,000.00            21,645.77
Cash inflows                    18.00                  0.4155            45,000.00            18,698.43
Cash inflows                    21.00                  0.3589            45,000.00            16,152.41
PV of Cash Inflows =PVCI         183,014.08

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