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I'm soon to retire, and have the option to take some money in an index-linked pension (taxable) or as a tax-free lump sum.  The conversion rate is £18 cash for every £1 reduction of pension.  I don't have an immediate use for the lump sum and not inclined to invest at high risk, so for simplicity assume I can get a (net) return equivalent to the annual index on the pension.

My question to any actuaries out there is, how many years should I hope to live in order to get better value from the pension than from the lump sum?  Logic suggests it should be at least 18; if the extra pension is taxed at 20%, maybe as much as 23 years.  Obviously over that time scale there are many unknowns, but there must be a formula underpinning the offer of 18:1.

Reply to me please and I'll summarize.
Allan
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