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What is the formula for future value of annuity?

By Christopher Ramos |

The formula for the future value of an ordinary annuity is F = P * ([1 + I]^N – 1 )/I, where P is the payment amount. I is equal to the interest (discount) rate. N is the number of payments (the “^” means N is an exponent). F is the future value of the annuity.

What annuity refers to?

What Is an Annuity? An annuity is a contract between you and an insurance company in which you make a lump-sum payment or series of payments and, in return, receive regular disbursements, beginning either immediately or at some point in the future.

What is the future sum of annuity?

The future value of an annuity is simply the sum of the future value of each payment. The equation for the future value of an annuity due is the sum of the geometric sequence: FVAD = A(1 + r)1 + A(1 + r)2 + + A(1 + r)n.

Where is future value of annuity used?

The future value of an annuity is the value of a group of recurring payments at a certain date in the future, assuming a particular rate of return, or discount rate. The higher the discount rate, the greater the annuity’s future value.

How are present and future value of annuities different?

The future value of an annuity is the total value of payments at a specific point in time. The present value is how much money would be required now to produce those future payments. Two Types of Annuities Annuities, in this sense of the word, break down into two basic types: ordinary annuities and annuities due.

When is the first payment of an annuity made?

Annuity due refers to a series of equal payments made at the same interval at the beginning of each period. The first payment is received at the start of the first period and, thereafter, at the start of each subsequent period.

Which is an example of an annuity due?

Key Takeaways. Annuity due is an annuity whose payment is due immediately at the beginning of each period. Annuity due can be contrasted with an ordinary annuity where payments are made at the end of each period. A common example of an annuity due payment is rent paid at the beginning of each month.

What happens to an annuity when it expires?

Once an annuity expires, the contract terminates and no future payments are made. The contractual obligation is fulfilled, with no further duties owed from either party. An annuity due is an annuity with a payment due or made at the beginning of the payment interval.