Investment Growth · Methodology

How the calculation works

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 calculator

Included

  • Cautious, central and stronger deterministic return scenarios
  • Fixed, inflation-linked or user-increasing monthly contributions
  • Percentage, fixed, contribution, initial and exit fees
  • A user-entered annual tax-drag estimate for taxable accounts
  • Today-money and future-pound values
  • A one-year market-fall sensitivity
  • A target comparison and solved monthly contribution under the central assumptions

Outside this method

  • Return probabilities, confidence intervals or Monte Carlo simulation
  • Investment or asset-allocation recommendations
  • Automatic dividend, Income Tax or Capital Gains Tax calculations
  • ISA and pension eligibility or contribution limits
  • Pension tax relief and tax on withdrawals
  • Withdrawals, rebalancing and changing asset allocation
  • A claim that returns or inflation are smooth or predictable

Calculation

Core formulas

Tax-adjusted scenario return

rₜ = positive scenario return − entered annual tax drag

The simplified drag applies only to positive returns in general or other taxable accounts and cannot reduce a positive return below zero.

Net monthly factor

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.

Month-end balance

Bₘ = Bₘ₋₁ × a + contributionₘ × (1 − contribution charge) − fixed monthly fee

Contributions enter at month end and can step up once at the start of each modelled year.

Today-money value

Real value = nominal value ÷ (1 + inflation)^years

This converts the future-pound balance into estimated current purchasing power.

Tax drag

Gross no-charge value − tax-adjusted no-fee value

This isolates the modelled reduction associated with the user-entered return drag.

Fee drag

Tax-adjusted no-fee value − final after-fee value

This includes the entered charges and the compound growth those amounts no longer earn.

Target contribution

Solve real central value(monthly contribution) = real target

A bounded bisection search finds the starting monthly contribution under all other entered assumptions.

Timing convention

When cash flows occur

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

What the result cannot establish

  • The default rates are generic FCA projection-rate maxima for certain products, not forecasts for a particular portfolio.
  • Constant scenario returns conceal volatility, sequence risk, correlations and changing market conditions.
  • A single tax-drag estimate cannot reproduce allowances, dividend and realised-gain timing, losses or changing tax rates.
  • General inflation may not match the user’s spending pattern.
  • A one-year market fall does not model recovery shapes or repeated losses.
  • The solved target contribution is only as reliable as the central assumptions and ignores affordability and product limits.

Reference tests

Numerical checks

CaseInputsExpected 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 yearsUses a 4% annual return and ends at £14,802.44
Today-money value£100,000 future value; 2% inflation; 20 yearsApproximately £67,297 in today’s money
Target already fundedOpening balance alone reaches the real target under the central assumptionsRequired monthly contribution is £0

Evidence

Sources