I said *relatively* more expensive. The effect of "mortality drag" makes annuities more expensive if you delay purchase because the other annuitants that would have subsidised your annuity by dying earlier have been removed from the equation.
For the purposes of this example, let's say the average life expectancy of a sample of potential annuitants at age 60 is 20 years and that deaths will be uniformly spread out between ages 60 and 100.
So if you buy an annuity at 60 it will be based on an average term of
20 years.If you take income by drawdown instead and eventually purchase an annuity at 75, the situation will be different because by the time you get to 75, 15/40ths of the original sample have died.
Of the remaining 25/40ths, the average life expectancy will now be age
87.5 so the cost of buying an annuity at 75 will be based on an average term of 12.5 years.Therefore, the overall cost of a lifetime income is 15 years of drawdown plus 12.5 years of annuity = 27.5 x the annual income, compared to only 20 x the income if an annuity had been purchased at age 60.
The plus side to drawdown is that if you die before you buy an annuity there will be a fund to leave to your family, but it comes at a price if you survive to buy the annuity later.