In: Accounting
On 12-31-16, Austin entered into an agreement that required Austin to pay a supplier $1,000 every year on 12-31 until 2026. The agreement required Austin to make the first annual payment on 12-31-16. Assume the market rate of interest for Austin is 6%. As of 12-31-16 what was the present value of Austin’s obligation?
Time | Date | Payment | Present Value factor @6% | Present value |
0 | 31-Dec-16 | 1000 | 1.0000 | 1,000.00 |
1 | 31-Dec-17 | 1000 | 0.9434 | 943.40 |
2 | 31-Dec-18 | 1000 | 0.8900 | 890.00 |
3 | 31-Dec-19 | 1000 | 0.8396 | 839.60 |
4 | 31-Dec-20 | 1000 | 0.7921 | 792.10 |
5 | 31-Dec-21 | 1000 | 0.7473 | 747.30 |
6 | 31-Dec-22 | 1000 | 0.7050 | 705.00 |
7 | 31-Dec-23 | 1000 | 0.6651 | 665.10 |
8 | 31-Dec-24 | 1000 | 0.6274 | 627.40 |
9 | 31-Dec-25 | 1000 | 0.5919 | 591.90 |
10 | 31-Dec-26 | 1000 | 0.5584 | 558.40 |
Present value of obligation | 8,360.20 |