1. Scenario Technical Specifications
A corporation enters into a non-cancellable 4-year equipment lease on 1 January 2026.
- Annual lease payments: $50,000 due in advance on 1 January each year.
- The interest rate implicit in the lease is not readily determinable.
- The lessee’s incremental borrowing rate (IBR) is 10% per annum.
- The lease contains no residual value guarantees or renewal options.
2. Present Value Allocation Mechanics
Because the first payment of $50,000 occurs immediately on 1 January 2026, it is not discounted. The remaining three payments of $50,000 occur on 1 January 2027, 2028, and 2029.
\(\text{Present\ Value\ of\ Payments}=\$50,000+\frac{\$50,000}{(1+0.10)^{1}}+\frac{\$50,000}{(1+0.10)^{2}}+\frac{\$50,000}{(1+0.10)^{3}}\)
\(\text{Present\ Value\ of\ Payments}=\$50,000+\$45,454.55+\$41,322.31+\$37,565.74=\$174,342.60\)
- Initial Commencement Entry (1 January 2026):
- Debit: ROU Asset = $174,342.60
- Credit: Lease Liability = $174,342.60
- Immediate Payment Entry (1 January 2026):
- Debit: Lease Liability = $50,000.00
- Credit: Cash = $50,000.00
- Remaining Net Liability Balance on 1 January 2026: $124,342.60
3. Subsequent Amortization and Interest Accrual Schedule
At the end of Year 1 (31 December 2026), the lessee must accrue interest on the outstanding liability balance and calculate depreciation on the ROU asset:
- Interest Expense Accrual:
Interest Expense = 124342.60 × 10% = 12434.26- Debit: Interest Expense = $12,434.26
- Credit: Lease Liability = $12,434.26
- Depreciation Expense Accrual:
Depreciation Expense = Initial ROU Asset Value / Lease Term = 174342.60 / 4 Years = 43585.65- Debit: Depreciation Expense = $43,585.65
- Credit: Accumulated Depreciation (ROU Asset) = $43,585.65
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