Numbers you can check yourself

Each month: add the interest, then pay in — v = v × (1 + p ÷ 12) + contribution, 12 × n times in all.

Final capital

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Paid in

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Interest

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As with compound interest, except that the value starts at the opening sum and the contribution rises by the step-up at every turn of the year.

Final capital

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Paid in

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Interest

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The same savings plan twice: once at the full return, once at the return less the TER. The difference is what an ETF costs, together with the return that never accrued on it.

Final capital after costs

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Final capital gross

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Costs in total

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Costs as a share of the final capital

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Gross is the invested sum × the dividend yield. The tax on it is worked out by the Kapitalertragsteuer block below, here without the Sparerpauschbetrag.

Net a year

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Net a month

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Gross dividend

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Tax

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Net dividends added up

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This is not tax advice. The results are approximations; your bank's and the tax office's statements are what count.

Each month: v = v × (1 + p ÷ 12) − withdrawal, until nothing is left. After 80 years the plan counts as lasting indefinitely.

The capital lasts

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Withdrawable indefinitely, per month

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Average yearly return = (closing value ÷ opening value)^{1 ÷ n} − 1. The total return is closing value ÷ opening value − 1.

Return a year

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Total return

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German investment income tax, withheld at source. The taxable base is the gain less the Sparerpauschbetrag, the yearly allowance every German taxpayer has on investment income. Without Kirchensteuer the rate is 25 per cent of that base; with Kirchensteuer it is the reduced rate 25 % ÷ (1 + church tax rate). The Solidaritätszuschlag, a surcharge on the tax itself, is 5.5 per cent of the Abgeltungsteuer.

Tax in total

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Net after tax

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Allowance applied

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Abgeltungsteuer

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Solidaritätszuschlag

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Kirchensteuer

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Effective rate on the gain

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This is not tax advice. The results are approximations; your bank's and the tax office's statements are what count.

A notional yearly return on an accumulating fund that German law taxes even when nothing was paid out. The base return is value at the start of the year × the Basiszins × 0.7, capped at the year's gain in value and reduced by any distributions. Of what remains, the Teilfreistellung stays untaxed.

Vorabpauschale

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Tax on it

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Base return

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Gain in value

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Taxable part

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The Basiszins is published afresh each year; the value above is an assumption you set yourself. This is not tax advice. The results are approximations; your bank's and the tax office's statements are what count.

German law leaves part of a fund's return untaxed, and how much depends on what the fund holds; the rest is taxed as in the Kapitalertragsteuer block.

Net after tax

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Amount left untaxed

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Taxable remainder

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Tax on it

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This is not tax advice. The results are approximations; your bank's and the tax office's statements are what count.

Purchasing power = amount ÷ (1 + i)ⁿ. The other way round, the same basket costs amount × (1 + i)ⁿ in n years.

Purchasing power in n years

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Purchasing power lost

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The same basket will then cost

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