What Is A Fixed Annuity

what can be the solution of this problem?
What will it cost me to buy an annuity to pay £5000 per year for 10 years, if interest is fixed at 4% per annum, and the first payment is made 1 year after purchase? Will it cost more or less if the conditions remain the same except that the first payment is to be made 3 years after purchase?
First situation 40405.19 compounded monthly.
Second situation 37303.65 compounded monthly.
Annuity Series – Fixed Annuities
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