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Tax on savings and pension drawdown

I will have received about £8k in savings interest in the 2025-26 tax year. I am not getting state pension just yet and have no other income. I have already taken my tax-free lump sum from my pension. I need to decide how much to draw down from my crystallised private pension pot in this tax year, before 5th April. I know I will get £1k allowance plus extra £5k allowance if my total income does not exceed £18,570. I could take up to £10,570 as drawdown and that would mean I stay below £18,570 so pay no tax at all but ideally would like to take a few thousand more. I am prepared to pay 20% tax on this extra but I am worried it may in practice be more than 20%.

It seems to me that if my total income goes above £18570 I will have an effective tax rate of 40% for the next £5k as I will lose £1 of tax-free-interest allowance for each extra £1 drawn down so will pay 20% on the otherwise tax-free interest plus another 20% on the extra pound drawn down. So 40p tax for every pound earned between £18570 and £23570. Am I correct? If my analysis is correct then above £23570 the incremental rate would return to £20% until I reach the 40% threshold. Have I misunderstood something as if I am correct then I am surprised that I cannot find this issue discussed anywhere else.

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