What is a present value annuity factor (PVIFA)?

It is a multiplier used to calculate the current lump-sum value of a series of equal future cash payments, given a specified discount or interest rate per period.

What is the difference between an ordinary annuity and an annuity due?

In an ordinary annuity, payments occur at the end of each period (common for loans and mortgages). In an annuity due, payments occur at the beginning of each period (common for leases and rent).

Present-Value Annuity Calculator

Compute ordinary annuity and annuity-due present value interest factors (PVIFA) and evaluate total lump-sum cash flow valuations.

1. Valuation Terms Discounted Cash Flow Model

Discount / Interest Rate Per Period

Number of Periods (n)

periods

Payment Per Period (PMT, optional)

Timing of Payment

Annuity Factor Lookup Table

How Present-Value Annuities Work

The present-value of an ordinary annuity determines what a series of future periodic payments is worth right now at a given discount rate:

PVIFA = [1 - (1 + r)^-n] / r

Where r is the periodic discount rate (as a decimal) and n is the number of periods. For an annuity due, each payment is discounted by one period less, multiplying the factor by (1 + r).

Worked Example

For 10 annual payments of $1,000 at a 5% discount rate: the ordinary PVIFA is [1 - (1.05)^-10] / 0.05 = 7.7217. The present value is $1,000 × 7.7217 = $7,721.73. Receiving the full $10,000 over 10 years at 5% inflation is equivalent to holding $7,721.73 today.

Frequently Asked Questions

What is an annuity factor used for?

Financial analysts and planners use it to price bonds, value lease obligations, calculate mortgage amortization schedules, and determine lottery lump-sum equivalents.

How do I adjust for monthly payments?

Divide the annual interest rate by 12 (e.g., 6% / 12 = 0.5% per month) and multiply years by 12 (e.g., 5 years = 60 periods).