PVIFA Formula:
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The Present Value Interest Factor of Annuity (PVIFA) is a factor used to calculate the present value of a series of equal future cash flows (an annuity). It represents the sum of the present value factors for each period of the annuity.
The calculator uses the PVIFA formula:
Where:
Explanation: The formula sums the present value factors for each period from 1 to n, where each factor represents the present value of $1 received at the end of that period.
Details: PVIFA is essential in finance for calculating the present value of annuities, loan payments, lease payments, and other regular cash flow streams. It simplifies time value of money calculations for uniform series of payments.
Tips: Enter the interest rate as a decimal (e.g., 5% = 0.05) and the number of periods. Both values must be positive numbers.
Q1: What's the difference between PVIFA and PVIF?
A: PVIF calculates the present value of a single future amount, while PVIFA calculates the present value of a series of equal future payments.
Q2: When should I use PVIFA?
A: Use PVIFA when you need to calculate the present value of an ordinary annuity (payments at the end of each period).
Q3: How does PVIFA change with interest rates?
A: PVIFA decreases as interest rates increase, since higher rates discount future payments more heavily.
Q4: What's the relationship between PVIFA and annuity payments?
A: To find the present value of an annuity, multiply the periodic payment amount by the PVIFA factor.
Q5: Can PVIFA be used for growing annuities?
A: No, PVIFA assumes constant payments. For growing annuities, you need a modified formula that accounts for the growth rate.