Inflation Rate Formula

Finance Formula • Published on July 30, 2026 • Last updated August 09, 2026

Mathematical Equation

$$\text{Inflation Rate (\%)} = \left( \frac{\text{CPI}_{t} - \text{CPI}_{t-1}}{\text{CPI}_{t-1}} \right) \times 100$$

Variable Definitions

CPI_t

Consumer Price Index in current target period

CPI_{t-1}

Consumer Price Index in previous reference period

Detailed Explanation

In-Depth Guide

The Inflation Rate Formula calculates the percentage change in the Consumer Price Index (CPI) over a specific period, measuring price inflation and purchasing power loss.

How to Calculate: Step-by-Step

1. Obtain current period CPI (CPI_t). 2. Obtain previous period CPI (CPI_{t-1}). 3. Subtract previous CPI from current CPI. 4. Divide difference by previous CPI. 5. Multiply by 100 to get inflation percentage.

Worked Calculation Example

If CPI in Year 1 is 150 and CPI in Year 2 rises to 159: - Inflation Rate = ((159 - 150) / 150) × 100 = (9 / 150) × 100 = 6.0% annual inflation rate.

Common Use Cases

  • Estimating future cost of living requirements
  • Evaluating real rate of investment returns
  • Setting central bank interest rate policies

Frequently Asked Questions

CPI is a price level index relative to a base year, while Inflation Rate is the percentage growth rate of CPI.

A negative inflation rate represents deflation, where average prices fall over time.

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