This is the most technical part of the OBR process. If you leave Exposure Override blank, Lease Rater calculates the present value (PV) of your lease payments automatically. Here's how it works:
The Challenge: Circular Dependency
To calculate the OBR, we need to know the lease exposure (PV). But to calculate PV, we need to discount future payments using... the OBR. Classic circular reference!
The Solution: Iterative Convergence
Lease Rater solves the two together by iterating:
- Pass 1: discount the lease payments at the term-matched SONIA base rate to get a first present value, then score the OBR using that figure as the exposure.
- Pass 2 onwards: re-discount the payments at the rate the previous pass produced, and re-score the OBR on the new present value.
- Convergence: the loop stops when the rate stops moving, meaning a change of less than 0.05 of a basis point between passes. The test is on the rate alone.
- Safety limit: a maximum of 8 passes. In practice it settles in 2 or 3.
- Where it cannot settle: the exposure pillar scores the present value into bands, so occasionally a band boundary sits between two candidate rates and the calculation alternates between them rather than settling. Where that happens the report says so, and the lower of the two rates is used, which gives the higher lease liability. This affects well under one per cent of calculations. The two candidate rates sit around a tenth of a percentage point apart, which on a short lease is a difference in the liability of roughly 0.1 per cent.
- Final step: the lease liability is then discounted at the final rate, the one printed on the report. So the rate and the liability shown to you always belong together, and re-performing the calculation from the reported rate reproduces the reported liability.
How the payments are discounted
The OBR is a nominal annual rate compounded monthly, so every contractual payment is discounted from the month in which it falls:
PV = Σ payment ÷ (1 + OBR ÷ 12)^m
Where:
payment = the amount contractually due on that date
m = the number of months from commencement to that payment, so m = 0 for a payment in advance in the first month
For monthly leases this is the ordinary annuity most people would write down. For quarterly leases it matters that the same monthly basis is used, because a quarter compounds as (1 + OBR ÷ 12)³ and not as 1 + OBR ÷ 4. Discounting a quarterly lease at a quarter of the annual rate assumes less interest than the amortisation schedule actually charges, and the liability then fails to reach zero by the end of the lease. Lease Rater uses one convention in both places.
Payments in advance are discounted from the start of their period and payments in arrears from the end, which is the only difference between the two profiles.
Practical Example
Scenario: 5-year property lease, £60,000 a year, quarterly in advance, for a company with £5m revenue, £750k EBITDA, £600k EBIT, £60k interest, £2m debt, £300k cash and £1.5m tangible net worth in food and beverage manufacturing, ten years trading, unrated, borrowing against a debenture. The undiscounted total is £300,000.
This is a real run of the calculator, not an illustration:
- Pass 1: discounted at the 5-year SONIA base of 4.7249% → present value £268,834 → OBR scores at 8.6778%.
- Pass 2: re-discounted at 8.6778% → present value £246,210 → OBR scores at 8.6778% again, so the rate has stopped moving and the loop ends.
- Final OBR: 8.6778%, with a sensitivity range of 7.18% to 10.18%.
- Lease liability: £246,209.56, which is the present value at 8.6778%. Discounting £300,000 of payments at the reported rate gives the reported liability, which is the check an auditor is most likely to perform.
The security position is stated because it matters: the same company borrowing against a fixed charge over a specific asset prices at 6.9528%, and unsecured at 9.8928%. The example above is the middle of those three.
Important Rules for PV Calculation
DO:
- ✅ Use ex-VAT rent amounts. VAT is not part of the lease liability.
- ✅ Set payment timing (advance/arrears) correctly. This affects PV by ~1-2% of rent.
- ✅ Use annual rent figure consistently (don't mix monthly and annual).
DON'T:
- ❌ Subtract rent deposits from PV. Deposits are handled separately in the Security/Structure pillar (they reduce risk, not exposure).
- ❌ Add the NEW lease's PV to "Total Debt" field. Use existing debt only. The new lease liability will be recognised when you adopt FRS 102 (2026), but for OBR calculation purposes, it's the exposure we're measuring, not existing debt.
- ❌ Include VAT in rent figures. This inflates the exposure and gives an incorrect OBR.
When Convergence Might Take Longer
- Very long leases (15+ years): Higher sensitivity between rate and PV.
- Balloon payments: Back-loaded cash flows make PV more rate-sensitive.
- Edge cases: Near min/max spread thresholds, where the minimum depends on the security type (convergence has diminishing effect).
In these cases the loop may take more passes before the rate settles, run to the eight-pass limit, or reach the band boundary described above. The result is still reported and auditable in each case: the report states which of these happened.