Present Value of an Annuity

The present value of an annuity is the value of a series of future payments today. It is calculated by discounting the future payments back to the present using a discount rate. The discount rate is the rate of return that you could earn on an investment of equal risk.

The present value of an annuity can be used to compare different investment options and to make financial decisions. For example, you could use the present value of an annuity to compare the cost of buying a house with the cost of renting a house.

The present value of an annuity is calculated using the following formula:

```
PV = A * (1 - (1 / (1 + r) ^ n)) / r
```

where:

* PV is the present value of the annuity
* A is the amount of each payment
* r is the discount rate
* n is the number of payments

The present value of an annuity can be used to calculate the following:

* The cost of a lease
* The cost of a mortgage
* The value of a pension plan
* The value of an investment

The present value of an annuity is a valuable tool for financial planning. It can be used to compare different investment options and to make informed financial decisions.