Inflation Calculator


Free inflation calculator: forward, reverse (backward), or average inflation rate. Find future price, past value, or the rate between two amounts.

What Is an Inflation Calculator?

This inflation calculator works in either direction: project an amount forward to see what it will be worth after inflation, or run it backward (also called reverse inflation) to find what a future amount was worth in today’s money. It can also solve for the average inflation rate that connects two known amounts.

Enter any two of amount at the beginning, amount at the end, average inflation rate, and the time period in years or months, and the calculator solves for the missing value, showing the nominal increase, total cumulative inflation, and purchasing power loss.

Forward Inflation Example

At an average inflation rate of 3% for 5 years, $1,000 today grows to about $1,159.27, using amount at end = amount at beginning × (1 + rate)^n. The nominal increase is $159.27, total cumulative inflation is about 15.93%, and purchasing power loss over the period is about 13.74%.

Backward (Reverse) Inflation: Finding Past Value

To run the calculation backward, select Amount at the beginning as the value to solve for: the same $1,159.27 at the end, over 5 years at a 3% rate, reverses to about $1,000 at the beginning, using amount at beginning = amount at end / (1 + rate)^n. This is useful for questions like “what was $1,159.27 worth 5 years ago?” or comparing a future asking price to what it’s really worth in today’s money.

Inflation formulas

$$\begin{aligned} C_n &= C_0 (1 + r)^n \\ C_0 &= \frac{C_n}{(1 + r)^n} \\ r &= \left(\frac{C_n}{C_0}\right)^{1/n} - 1 \end{aligned}$$

Input
Select the radio next to amount at the beginning, amount at the end, or average inflation rate to calculate that value from the other inputs and the selected period.
n
C₀
r
%
Cₙ
Result
Amount at the end
0.00

Increase0.00
Total cumulative inflation0.00%
Purchasing power loss0.00%
Fig. 1 · Inflation Calculator

Inflation Calculator FAQ

How do I calculate inflation over time?

To project an amount forward with a flat annual inflation rate, use amount at end = amount at beginning × (1 + rate)^n, where n is the number of years. This calculator does that automatically and also shows the nominal increase, total cumulative inflation, and purchasing power loss.

How do I calculate inflation backward (in reverse) to find the equivalent amount at the beginning?

To run inflation backward, divide the amount at the end by (1 + rate)^n. This gives the amount at the beginning with the same purchasing power. Use the radio next to Amount at the beginning when that is the value you want to calculate.

Can I calculate the average inflation rate between two amounts?

Yes. If you know the amount at the beginning, the amount at the end, and the time period, the average inflation rate is (end / beginning)^(1 / n) - 1. Select the radio next to Average inflation rate to solve for that value.

What is the difference between increase, total cumulative inflation, and purchasing power loss?

Increase is the nominal amount difference between the beginning and end values. Total cumulative inflation is the total percentage increase in prices over the full period. Purchasing power loss shows how much buying power has fallen over that same time.

Example: what happens to 1,000 over 5 years at 3% inflation?

At an average inflation rate of 3% for 5 years, 1,000 grows to about 1,159.27. The nominal increase is 159.27, total cumulative inflation is about 15.93%, and purchasing power loss is about 13.74%.


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