Monthly pension path
Pₘ = Pₘ₋₁ × [(1 + return) × (1 − fee)]^(1/12) + contributionₘThe pot receives a smooth net monthly growth factor, then the modelled month-end contribution.
Pension Calculator · Methodology
Project a defined-contribution pension to retirement across three transparent return assumptions, translate the pot into illustrative retirement income and estimate the contribution required for a user-defined target.
Return to calculatorIncluded
Outside this method
Calculation
Pₘ = Pₘ₋₁ × [(1 + return) × (1 − fee)]^(1/12) + contributionₘThe pot receives a smooth net monthly growth factor, then the modelled month-end contribution.
Monthly contribution = salary × (employee % + employer %) ÷ 12The starting contribution rises once each modelled year by the selected contribution-growth assumption.
Real pot = nominal pot ÷ (1 + inflation)^yearsThis expresses the projected future pot in estimated current purchasing power.
Annual private income = real pot × drawdown rateThis is a first-year income illustration, not a guaranteed or personalised sustainable-withdrawal recommendation.
Bridge years × min(target income, State Pension) + (target income − State Pension) ÷ drawdown rateThe first term illustrates replacing the State Pension before it begins; the second capitalises the later private-income gap. Negative gaps are floored at zero.
Solve monthly contribution where central real pot = target real potA bounded binary search finds the starting total monthly pension contribution under the central return, fee, inflation and contribution-growth assumptions.
Timing convention
The current pot is invested at the start. Net growth is applied monthly and contributions enter at month end. Contributions increase at the start of each modelled year. Results are measured at the selected retirement age. The State Pension is added to income only from the entered State Pension age.
Limitations
Reference tests
| Case | Inputs | Expected result |
|---|---|---|
| Pot with no growth | £100,000 current pot; 10 years; 0% return; 0% fee; no contributions; 0% inflation | £100,000 nominal and real pot |
| Contribution-only path | £120,000 salary; 5% employee and 5% employer; 10 years; 0% return, fee, contribution growth and inflation | £120,000 contributed and a £120,000 final pot |
| Income after State Pension | £100,000 real pot; 4% drawdown; £12,548 annual State Pension available at retirement | £4,000 private income and £16,548 combined annual income |
| Required contribution | £0 current pot; 10 years; £12,000 target; 4% drawdown; no State Pension; 0% return, fee, growth and inflation | £300,000 target pot and £2,500 total monthly contribution |
Evidence