Financial Accounting · Lease Accounting

Minimum Lease Payments, Residual Value and Implicit Rate

Updated 10 October 2026 · Fact-checked

Minimum lease payments are the payments the lessee must make over the lease term, plus any residual value guaranteed to the lessor. Add the unguaranteed residual value to get gross investment. The implicit rate discounts both to the asset's fair value. Gross investment less that present value is unearned finance income; the present value is net investment.

Understand Lease Payments, Residual Value and Implicit Rate

AS 19 uses a small set of defined terms. Most lease questions test whether you can sort the cash flows into the right bucket. Once the buckets are right, the arithmetic is short.

Residual value is the estimated fair value of the leased asset at the end of the lease term. Part of it may be guaranteed. For the lessee, the guaranteed part is what the lessee, or someone on the lessee's behalf, guarantees. The guarantee is the maximum amount that could become payable. For the lessor, the guaranteed part is what the lessee or an independent, financially capable third party guarantees. The rest is the unguaranteed residual value (URV): residual value minus guaranteed residual value.

Minimum lease payments (MLP) are the payments over the lease term that the lessee is, or can be required, to make. They exclude contingent rent, costs for services, and taxes paid by and reimbursed to the lessor. Then add the guaranteed residual value. For the lessee, add the residual value guaranteed by or on behalf of the lessee. For the lessor, add the residual value guaranteed by the lessee or by a capable independent third party. If the lessee has a purchase option that is reasonably certain to be exercised at inception because the price is expected to be sufficiently lower than fair value, MLP include the payment needed to exercise it.

The lessor's gross investment is MLP (lessor's view) plus any unguaranteed residual value. The interest rate implicit in the lease is the discount rate that makes the present value of MLP (lessor's view) plus URV equal to the fair value of the asset at inception. Unearned finance income is gross investment minus that present value. Net investment is gross investment minus unearned finance income.

The lessee's side is different. At inception the lessee records an asset and a liability at the fair value of the asset. But if fair value is higher than the present value of the lessee's MLP, it records the present value instead. The discount rate is the implicit rate if practicable to determine; if not, the lessee's incremental borrowing rate. Lease payments are then split between finance charge and reduction of the liability, so that the finance charge is a constant periodic rate on the remaining balance.

Key rules to remember

Minimum lease payments (lessee): MLP = lease payments over the lease term (excluding contingent rent, service costs, reimbursed taxes) + residual value guaranteed by or on behalf of the lessee; If a purchase option is reasonably certain to be exercised, include the exercise price instead of a residual value.
Minimum lease payments (lessor): MLP = lease payments over the lease term (same exclusions) + residual value guaranteed by the lessee or by a financially capable independent third party; The lessor's MLP can be larger than the lessee's because a third-party guarantee counts for the lessor only.
Unguaranteed residual value: URV = residual value − guaranteed residual value; Residual value is the estimated fair value of the asset at the end of the lease term.
Gross investment in the lease: Gross investment = MLP (lessor) + URV; It is a total of undiscounted amounts.
Interest rate implicit in the lease: PV of (MLP (lessor) + URV) at the implicit rate = fair value of the asset at inception; Find it by trial and error, then interpolation. The result is usually approximate.
Unearned finance income: Unearned finance income = Gross investment − PV of (MLP (lessor) + URV) at the implicit rate; Because that PV equals fair value at inception, unearned income is gross investment − fair value (ignoring initial direct costs).
Net investment in the lease: Net investment = Gross investment − Unearned finance income; At inception it equals the PV of MLP plus URV at the implicit rate.
Lessee's initial recognition: Asset and liability = lower of (fair value, PV of lessee's MLP); Discount at the implicit rate if practicable to determine; otherwise at the lessee's incremental borrowing rate.

How to solve Lease Payments, Residual Value and Implicit Rate questions

Use this order for any question on lease payments, residual value and implicit rate. Decide whose books you are working in before you add anything.

1Note the party (lessee or lessor), the lease term, the payment amounts and dates (start or end of year), and the fair value at inception.
2Strip out contingent rent, service costs and taxes reimbursed to the lessor. They are not part of MLP.
3Split the residual value into guaranteed and unguaranteed parts. Check who gave the guarantee: lessee, a party on the lessee's behalf, or an independent third party.
4Build MLP for the right party: payments plus the guaranteed residual value that counts for that party. If a purchase option is reasonably certain, add the exercise price.
5For the lessor, gross investment = MLP + URV. Unearned finance income = gross investment − fair value (since the discounted figure equals fair value at the implicit rate).
6If the rate is needed, try two rates, find the PVs of MLP + URV, and interpolate until the PV is close to fair value.
7For the lessee, compute PV of MLP at the implicit rate (or the incremental borrowing rate if the implicit rate is not known) and compare it with fair value. Record the lower.
8State net investment, or the opening liability, and show a short working so that step marks are earned.

Quickest way: Table of cash flows, then one subtraction

When to use it: Use when the fair value and the implicit rate are both given, or when only unearned income or net investment is asked.

Write the cash flows in a row: each rent, then the guaranteed residual value, then URV in a separate column.
Add rents + guaranteed value = MLP. Add URV to get gross investment.
If fair value is given and the implicit rate is the one that equates PV to fair value, do not discount at all. Unearned income = gross investment − fair value. Net investment = fair value.
For the lessee, discount only if the question gives a rate or discount factors. Compare with fair value and take the lower.
Check once: net investment + unearned income must return to gross investment.

Common mistakes in Lease Payments, Residual Value and Implicit Rate

Adding the whole residual value to MLP
The word 'residual' is read as one amount, so the unguaranteed part is not separated.
Fix: Only the guaranteed part goes into MLP. The unguaranteed part is added later, to get gross investment (lessor only).
Using the same MLP for lessee and lessor
Students forget that a guarantee from an independent third party counts only for the lessor.
Fix: Prepare MLP separately. For the lessee, include only residual value guaranteed by or on behalf of the lessee.
Including contingent rent, maintenance or reimbursed taxes in MLP
All amounts paid to the lessor look like lease payments.
Fix: Exclude contingent rent, costs for services and taxes reimbursed to the lessor before you total the payments.
Always recording the lessee's asset at fair value
The rule 'record at fair value' is remembered without its exception.
Fix: Compare fair value with the PV of the lessee's MLP. If fair value is higher, record the PV.
Treating gross investment as a present value
Gross and net investment are used loosely.
Fix: Gross investment is undiscounted: MLP + URV. Net investment is gross investment less unearned finance income, so it is the discounted amount.
Using the lessee's incremental borrowing rate when the implicit rate is known
Both rates look like 'the interest rate'.
Fix: Use the implicit rate if practicable to determine. Fall back to the incremental borrowing rate only when it is not.

Worked examples

Example 1

Mehta Leasing Ltd leases a machine to Rao Industries for 3 years. Annual rent is ₹1,00,000, payable at the end of each year. Rao also pays ₹5,000 a year towards maintenance to the lessor. Rao guarantees a residual value of ₹17,000 at the end of year 3. Mehta estimates the residual value at ₹20,000. The fair value of the machine at inception is ₹2,35,500. Compute the lessor's minimum lease payments, gross investment, unearned finance income and net investment.

Show the solution

Maintenance of ₹5,000 a year is a cost for services. Exclude it from MLP.
Rent over the term = 3 × ₹1,00,000 = ₹3,00,000.
Guaranteed residual value = ₹17,000 (guaranteed by the lessee, so it counts for the lessor).
MLP (lessor) = ₹3,00,000 + ₹17,000 = ₹3,17,000.
URV = residual value − guaranteed = ₹20,000 − ₹17,000 = ₹3,000.
Gross investment = ₹3,17,000 + ₹3,000 = ₹3,20,000.
At the implicit rate, PV of (MLP + URV) equals fair value ₹2,35,500. So unearned finance income = ₹3,20,000 − ₹2,35,500 = ₹84,500.
Net investment = ₹3,20,000 − ₹84,500 = ₹2,35,500.

Answer: MLP ₹3,17,000; gross investment ₹3,20,000; unearned finance income ₹84,500; net investment ₹2,35,500.

Example 2

Sharma Traders takes equipment on lease for 2 years. Rent is ₹1,00,000 at the end of each year. It also pays ₹4,000 a year as contingent rent. Sharma guarantees a residual value of ₹10,000 at the end of year 2. The fair value of the equipment at inception is ₹1,80,000. The implicit rate is not practicable to determine, so Sharma's incremental borrowing rate of 10% is used. Find the amount at which Sharma records the asset and the liability.

Show the solution

Contingent rent of ₹4,000 a year is excluded from MLP.
Lessee's MLP: rent ₹1,00,000 in year 1, and ₹1,00,000 + ₹10,000 guaranteed residual value = ₹1,10,000 in year 2.
Discount at 10%: year 1 = ₹1,00,000 ÷ 1.10 = ₹90,909.
Year 2 = ₹1,10,000 ÷ (1.10)² = ₹1,10,000 ÷ 1.21 = ₹90,909.
PV of MLP = ₹90,909 + ₹90,909 = ₹1,81,818 (rounded).
Fair value ₹1,80,000 is lower than PV of MLP ₹1,81,818. The rule is to record the lower of the two.
Asset and liability are recorded at ₹1,80,000.

Answer: Sharma records the asset and the liability at ₹1,80,000, the fair value, because it is lower than the PV of MLP (₹1,81,818).

Exam tips

In the MCQ section, most traps are about what to include in MLP. Check the party, the guarantee-giver and any contingent rent or service cost before you calculate.
If fair value and the implicit rate are given, skip discounting for the lessor. Unearned finance income = gross investment − fair value.
Write the two-column layout: payments, then residual value (guaranteed and unguaranteed). It earns step marks even if the final figure slips.
For the lessee, always write the comparison line: 'Fair value ₹X vs PV of MLP ₹Y, lower recorded.' Examiners look for it.
Remember that an upward revision of the estimated residual value is not made; only a reduction in URV is recognised.

Practice questions from Lease Accounting

Lease Payments, Residual Value and Implicit Rate: frequently asked questions

What is included in minimum lease payments under AS 19?

MLP are the payments the lessee is, or can be required, to make over the lease term, excluding contingent rent, costs for services and reimbursed taxes. Add the guaranteed residual value that counts for the party concerned. If a purchase option is reasonably certain to be exercised, add the price needed to exercise it.

What is the difference between guaranteed and unguaranteed residual value?

Guaranteed residual value is the part of the residual value that the lessee, someone on its behalf, or (for the lessor) a capable independent third party guarantees. Unguaranteed residual value is the residual value minus the guaranteed part. Only the guaranteed part enters MLP.

How do I calculate the interest rate implicit in the lease?

It is the rate at which the present value of MLP (lessor's view) plus unguaranteed residual value equals the fair value of the asset at inception. Try a rate, compute the PV, and adjust until it matches fair value, using interpolation between two trial rates. The answer is usually approximate.

How do gross investment, net investment and unearned finance income link?

Gross investment is MLP plus unguaranteed residual value. Unearned finance income is gross investment minus the present value of those amounts at the implicit rate. Net investment is gross investment minus unearned finance income.

What happens if the estimated unguaranteed residual value changes?

The lessor reviews it regularly. If it falls, the income allocation over the remaining lease term is revised and any reduction on amounts already accrued is recognised immediately. An upward adjustment is not made.