Compound annual inflation between periods
Overall price change over the period
See how much value your money has lost
Enter prices from two periods to find the annualised inflation rate.
Rate = (P2/P1)^(1/years) - 1
Example: (130/100)^(1/5) - 1 = 5.39%
This formula converts a total price change into an equivalent annual compound rate. It accounts for the compounding effect — a 30% total increase over 5 years is not 6% per year, it is 5.39% per year compounded.
A basket of goods cost £100 in 2020 and £130 in 2025. Total increase = 30%. Annualised rate = (130/100)^(1/5) - 1 = 5.39% per year. This means prices increased by an average of 5.39% annually, compounded. This is higher than the 2% target, indicating above-average inflation during this period.
UK CPI peaked at 11.1% in October 2022 following the energy crisis and post-pandemic supply disruptions. It has since returned closer to the 2% target through monetary tightening (higher interest rates). Energy prices, food costs, and wage growth were the main drivers of the 2021-2023 spike.
The long-term average UK inflation rate is approximately 2-3% annually. The Bank of England targets 2% CPI inflation. Over 30 years at 2.5% inflation, prices roughly double — what costs £100 today would cost ~£210. This makes inflation a critical factor in long-term financial planning.
The price or index value at the start.
The price or index value at the end.
Annualised rate, total increase, and purchasing power.
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