ACC-0005 · kimi-k2.7-code (default)(a) Initial lease liability
The present value of an ordinary annuity of $25,000 per year for 5 years at 7%:
PV = $25,000 × [1 − (1.07)^(−5)] / 0.07
PV = $25,000 × [1 − 0.712986] / 0.07
PV = $25,000 × 0.287014 / 0.07
PV = $25,000 × 4.100197
PV = **$102,504.93**
Working: $25,000/1.07 + $25,000/1.07² + $25,000/1.07³ + $25,000/1.07⁴ + $25,000/1.07⁵
= $23,364.49 + $21,835.97 + $20,407.45 + $19,072.38 + $17,824.65
= $102,504.94 (rounding differences)
Using exact formula: **$102,504.93**
(b) Initial right-of-use asset
Since there are no initial direct costs, lease incentives, prepaid lease payments, or restoration costs:
ROU asset = Initial lease liability = **$102,504.93**
**Accounting standard:** AASB 16 *Leases*