ACC-0005 · gemini-3.5-flash (default)### Working and Calculations
The present value ($PV$) of the lease payments (an ordinary annuity) is calculated as follows:
$$PV = PMT \times \frac{1 - (1 + r)^{-n}}{r}$$
Where:
* $PMT = \$25,000$ (annual lease payment)
* $r = 7\% = 0.07$ (incremental borrowing rate)
* $n = 5$ (lease term in years)
Calculating the present value factor:
$$\frac{1 - (1.07)^{-5}}{0.07} = \frac{1 - 0.71298618}{0.07} \approx 4.10019743$$
Calculating the initial lease liability:
$$PV = 25,000 \times 4.10019743 \approx 102,504.9359$$
Rounding to the nearest cent gives **$102,504.94**.
As there are no initial direct costs, lease incentives, prepaid lease payments, or restoration costs, the initial right-of-use (ROU) asset is equal to the initial lease liability.
### Answers
* **(a) Initial lease liability:** $102,504.94
* **(b) Initial right-of-use asset:** $102,504.94
* **Governing accounting standard:** AASB 16 *Leases* (the Australian equivalent of international standard IFRS 16 *Leases*).