ACC-0005 · grok-4.5 (medium)**(a) Initial lease liability: $102,504.94**
**(b) Initial right-of-use asset: $102,504.94**
**Accounting standard: AASB 16**
**Working**
The lease liability is measured as the present value of the five end-of-year payments of $25,000 discounted at 7 %:
\[
PV = 25{,}000 \times \frac{1-(1.07)^{-5}}{0.07}
\]
\[
(1.07)^5 = 1.4025517307 \implies (1.07)^{-5} = 0.7129861795
\]
\[
\frac{1-0.7129861795}{0.07} = 4.1001974357
\]
\[
25{,}000 \times 4.1001974357 = 102{,}504.9359 \approx 102{,}504.94
\]
(Equivalently, summing the individual discounted cash flows yields the same rounded result.)
Because there are no initial direct costs, lease incentives, prepaid payments or restoration obligations, the right-of-use asset is recognised at an amount equal to the initial lease liability.
Both measurements are required by AASB 16 *Leases*.