What is the relationship between the value of an annuity and the level of interest rates?

The answer depends on the type of annuity. If the annuity is a fixed period annuity or an annuity which pays a fixed amount during the lifetime of one or more persons, the value of the annuity will decrease if interest rates rise and will increase if interest rates fall For example, san an annuity is paying $100 per month for 3 years and the interest rate is 5%. The value of the annuity is $100 x ( (1+5%)^(-1/12) + (1+5%)^(-2/12) + ... + (1+5%)^(-36/12) ) = $3,342.13.

If the interest rate rises to 6%, the value of the annuity falls to $100 x ( (1+6%)^(-1/12) + (1+6%)^(-2/12) + ... + (1+6%)^(-36/12) ) = $3,294.90.

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