Tax-adjusted scenario return
rₜ = positive scenario return − entered annual tax dragThe simplified drag applies only to positive returns in general or other taxable accounts and cannot reduce a positive return below zero.
Investment Growth · Methodology
Illustrate how contributions, return uncertainty, fees, simplified tax drag and inflation could shape an investment, then test whether a target is reached across several scenarios.
Return to calculatorIncluded
Outside this method
Calculation
rₜ = positive scenario return − entered annual tax dragThe simplified drag applies only to positive returns in general or other taxable accounts and cannot reduce a positive return below zero.
a = [(1 + tax-adjusted return) × (1 − annual fee)]^(1/12)The effective annual return and percentage fee are converted into one geometrically consistent monthly factor.
Bₘ = Bₘ₋₁ × a + contributionₘ × (1 − contribution charge) − fixed monthly feeContributions enter at month end and can step up once at the start of each modelled year.
Real value = nominal value ÷ (1 + inflation)^yearsThis converts the future-pound balance into estimated current purchasing power.
Gross no-charge value − tax-adjusted no-fee valueThis isolates the modelled reduction associated with the user-entered return drag.
Tax-adjusted no-fee value − final after-fee valueThis includes the entered charges and the compound growth those amounts no longer earn.
Solve real central value(monthly contribution) = real targetA bounded bisection search finds the starting monthly contribution under all other entered assumptions.
Timing convention
Returns, the simplified tax drag and percentage fees compound monthly. Contributions enter at month end and increase once a year when selected. The optional market fall replaces the central return throughout one selected modelled year. Initial charges are deducted at the start and the exit charge at the final point.
Limitations
Reference tests
| Case | Inputs | Expected result |
|---|---|---|
| Lump-sum compounding | £10,000; 5% return; 10 years | £16,288.95 |
| Monthly contributions | £100 monthly; 5% effective return; 12 months | £1,227.26 |
| Ongoing fee drag | £100,000; 5% return; 1% fee; 10 years | £147,314.31 after fees |
| Tax-drag approximation | £10,000; 5% return; 1 percentage-point tax drag; no fees; 10 years | Uses a 4% annual return and ends at £14,802.44 |
| Today-money value | £100,000 future value; 2% inflation; 20 years | Approximately £67,297 in today’s money |
| Target already funded | Opening balance alone reaches the real target under the central assumptions | Required monthly contribution is £0 |
Evidence