The lump sum to fund your retirement income.
Corpus needed
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Real return used
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Times annual income
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Your breakdown
Updates live as you type| Item | Amount |
|---|
Worked example
Take a desired annual income of N12,000,000, lasting 25 years in retirement, with an expected return of 26% and inflation of 23%. What matters is the real return, the return after inflation, found by dividing one plus 26% by one plus 23% and subtracting one, which is about 2.4% a year. The corpus needed is the present value of an income stream of N12,000,000 a year for 25 years, discounted at that 2.4% real return. That works out to about N222,642,383, or roughly 18.6 times the annual income. The multiple is high because the real return is small: when your return only just clears inflation, the pot has to be large enough to fund almost the full spending each year without much help from growth.
| Item | Value |
|---|---|
| Desired annual income | N12,000,000 |
| Years in retirement | 25 |
| Real return used | 2.4% |
| Corpus needed (about 18.6x income) | N222,642,383 |
How it is calculated
The tool treats your retirement as a stream of annual withdrawals and works out the lump sum that funds them. It first converts your expected return and inflation into a real return, dividing one plus the return by one plus inflation and subtracting one, which is the correct way to remove inflation rather than simply subtracting it. It then takes the present value of an annuity that pays your desired income for the chosen number of years, discounted at that real return: income times one minus the quantity one plus the real return raised to the negative number of years, all over the real return. The real return is what drives the answer. If your return only modestly beats inflation, the required corpus is close to your annual spending times the number of years. If your return actually trails inflation, the real return turns negative and the required corpus balloons, which is the honest warning that an investment mix that cannot beat Nigerian inflation makes retirement very expensive to fund.