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How long do savings last with a fixed monthly withdrawal?

How long 300,000 lasts at an assumed 5% a year when 1,500, 2,000 or 2,500 is taken out every month.

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Savings of 300,000 earning an assumed 5% a year run out in year 20 if 2,000 is taken out every month. Taking 1,500 a month makes them last until year 35; taking 2,500, until year 14.

Each month the remaining balance earns its return and the withdrawal is taken out. When the withdrawal is more than the balance earns, the balance falls, and as it falls it earns less, so it falls faster.

Three withdrawal amounts

The same savings and the same assumed return each time:

Taken out each monthPer year, as a share of the savingsRuns out in yearTotal taken out
1,5006%35622,178
2,0008%20464,593
2,50010%14412,694
300,000 at an assumed 5% a year; the monthly amount stays the same throughout.

What the example leaves out

The withdrawals here do not rise with prices, and the return is the same every year. Real returns vary, and a fall in the early years shortens how long the money lasts more than the same fall later on.

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