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Use the quarterly convention
There are twelve quarters in three years. The rate per quarter is 0.06/4 = 0.015. Discount the future amount by 1.015¹².
Use the equivalent annual factor
| Route | Rate per period | Periods | PV |
|---|---|---|---|
| Quarterly | 1.5% | 12 | 8,363.8742 |
| Annual effective | 6.1364% | 3 | 8,363.8742 |
Preserve the unrounded rate
The exact annual factor is 1.015⁴. Carry that factor through the annual calculation rather than replacing it with the four-decimal displayed percentage first. Both routes then agree apart from normal floating-point precision.
Keep the payment date unchanged
The conversion changes the rate representation and period count together. It does not change the original future amount or move its receipt date.