Worked-example setupScope and assumptions
- The $60,000 target is one deterministic cash flow at month 36.
- The supplied 0.4 percent monthly periodic rate remains constant for 36 equal periods.
- Period
- Valuation at month 0; target at month 36
- Units
- USD at stated dates and decimal rate per month
- Rounding
- Use full precision through the inverse check; display currency to cents.
The target is $60,000 at month 36. The controlled monthly rate is 0.004 and
the horizon is 36 monthly periods.
Discount to month 0
PV = $60,000 / (1.004)^36
= $51,968.189786…
= $51,968.19 displayed
The answer is not a recommended deposit. It is the month-zero equivalent under the supplied deterministic assumptions.
Reverse the operation
$51,968.189786… × (1.004)^36 = $60,000
The recomputation returns the target without a material difference because the same rate, period count, dates, and full precision were retained. If a student first rounds the deposit to cents, a tiny difference is expected; it should be identified as display rounding, not hidden.
For accounting use, an applicable standard must supply the measurement scope and assumptions. For finance use, the decision process must justify the rate and address risk and excluded cash flows. This example establishes neither.
Verified calculation · time value analysis
The curriculum loader recomputed this example before it entered the site build. Expand any structured input to inspect the stated facts.
- single sums
- 1 field
Inspect data
{
"equipment_fund": {
"future_value": null,
"periodic_rate": 0.004,
"periods": 36,
"present_value": 51968.18978641926
}
}Recomputed result
| Measure | Value |
|---|---|
| discount factor | 0.8661 |
| future value | 60,000 |
| inverse difference | 0 |
| reconstructed present value | 51,968.1898 |