An annuity is a series of equal cash flows over time that comes at regular intervals. The cash flows must be either all payments or all receipts, consistently occur either at the beginning or the end of the interval and represent one discount period. Payments made at the beginning of the period indicate an "annuity due" which can include rents and insurance payments. Payments at the end of the period indicate an "ordinary annuity" which include mortgage payments, bond payments, etc.
Although loan payments, mortgages and similar financial instruments can be regarded as an annuity, the term is mostly applied from the perspective of being an asset. For example, payments from a lottery or distributions from a lump-sum amount can be considered as an annuity. Annuities can also be an investment used to guarantee a regular income during a retirement.
Calculating annuity payments can come from two perspectives: the future value of an annuity or the present value of an annuity.
Calculating Ordinary Annuity Payments From Future ValueIf the desired ending amount is known together with the discount rate and number of periods, the payments can be calculated as follows:
PMT = FV / (((1 + r)^n - 1) / r)
Where:
PMT = Payment amount made at the end of the period
FV = The future value of the annuity (how much the balance will be after all payments have been made)
r = the discount rate
^ = raises the value to the left to an exponential number on the right
n = the number of payments
In this calculation, the present value (PV) is assumed to be zero.
Calculating Ordinary Annuity Payments From Present ValueIf the sum of money or balance on hand is known together with the discount rate and the number of periods, the amount of payments to reduce the balance to zero can be calculated as follows:
PMT = PV / ((1-[1 / (1 + r)^n] )/ r)
Where:
PMT = Payment amount made at the end of the period
PV = The present value of the annuity (how much is currently on hand)
r = the discount rate
^ = raises the value to the left to an exponential number on the right
n = the number of payments
In this calculation, the future value (FV) is assumed to be zero.
Calculating Annuity Due Payments From Future ValueBecause the payment earns interest for one additional period than the ordinary annuity, the future value should be adjusted as follows:
FV annuity due = FV ordinary annuity X (1+r)
The new value for future value can now be inserted in the original equation to compute the annuity due payments.
Calculating Annuity Due Payments From Present ValueTo remove the additional discount period for each payment made on an annuity due, the present value of the annuity must be adjusted as follows:
PV annuity due = PV ordinary annuity X (1+r)
The new value for future value can now be inserted in the original equation to compute the annuity due payments.
Alternate Methods
Because calculating the payments for ordinary annuities and annuities due, a financial calculator such as the HP 10bII can be used to simplify the process. When many calculations must be performed, the process can be expedited through the use of a spreadsheet such as Microsoft Excel which is equipped with time value of money functions.
See the related links below for an annuity calculator for different types of contracts that compute the balance, distributions, or present value using the amounts you specify.
One can find an annuity payments calculator at a number of places online. For example, DGI Direct, RBC Insurance, Bankrate, and Legal and General all have annuity payments calculators online.
Yes, but not directly. An annuity is a stream of payments paid to some entity for some limited period of time (there are lifetime annuities which are known as perpetuities). One has the following two options for unlocking the value of an annuity: * Sell the annuity - receive the present value of all future payments right now in a single lump-sum - you will NOT have to pay it back, however, you will not receive any more annuity payments * Get a loan - offer the payments as security on a personal loan - the bank will ask you to redirect the payments of the annuity to their bank and either (1) directly use future payments to pay the loan payments or (2) keep future payments accumulated in a trust to guarantee that the loan gets fully paid.
An annuity rate is something that helps you pay for retirement first you decide how many years you want payment from the income payments whether thats a couple of years or a year.
The rate of return on purchase payments will vary based on the performance of the chosen investment options.
BY Gautam Brahma Duration of a level annuity is given by the formula ( 1+yield/yield )- (No of payments)/{(1+yield)^no of payments -1} i.e (1.06/.06) - (5)/{(1.06)^5-1} i.e 2.88 years
Deferred annuity is a type of contract that allows the delay of payments until the investor chooses to receive them. To calculate the deferred annuity you, divide the future amount by (1+rate of return)^the length of the term.
Annuity is the period of time allocating to make payments. The payments can be made at the begining or at the at of the period of time.
One can find an annuity payments calculator at a number of places online. For example, DGI Direct, RBC Insurance, Bankrate, and Legal and General all have annuity payments calculators online.
In the mail?
annuity
A perpetual annuity is a series of equal payments that continue indefinitely. This means that the payments will never end, providing a constant stream of income. It is commonly used in finance to calculate the present value of an infinite series of cash flows.
Yes, but not directly. An annuity is a stream of payments paid to some entity for some limited period of time (there are lifetime annuities which are known as perpetuities). One has the following two options for unlocking the value of an annuity: * Sell the annuity - receive the present value of all future payments right now in a single lump-sum - you will NOT have to pay it back, however, you will not receive any more annuity payments * Get a loan - offer the payments as security on a personal loan - the bank will ask you to redirect the payments of the annuity to their bank and either (1) directly use future payments to pay the loan payments or (2) keep future payments accumulated in a trust to guarantee that the loan gets fully paid.
An annuity due is an annuity where the payments are made at the beginning of each time period; for an ordinary annuity, payments are made at the end of the time period. *an annuity due of (n) periods is equal to an ordinary annuity of (n-1) periods plus the payment.
No
A fixed income annuity is a type of insurance contract where the insurance company makes payments of a preassigned amount to the holder of the annuity, the annuitant.
That means that if your husband predeceases you then the annuity payments would go to you as the survivor.
A fixed income annuity is a type of insurance contract where the insurance company makes payments of a preassigned amount to the holder of the annuity, the annuitant.