Inflation Calculator
This professional-grade inflation calculator converts a past amount of money into its purchasing power in another year using the U.S. CPI‑U index. It’s designed for researchers, journalists, students, and financial professionals who need transparent, defensible calculations.
Results
Data Source and Methodology
Authoritative data: U.S. Bureau of Labor Statistics (BLS), Consumer Price Index for All Urban Consumers (CPI‑U),
U.S. city average, all items, not seasonally adjusted, Series ID: CUUR0000SA0,
accessed via the official inflation calculator:
https://www.bls.gov/data/inflation_calculator.htm.
All calculations strictly follow CPI ratio methods commonly used by the BLS.
Tutti i calcoli si basano rigorosamente sulle formule e sui dati forniti da questa fonte.
Note: This self-contained tool ships with annual average CPI‑U values through 2023. You can override CPI values in “Advanced options” to reflect the latest monthly data.
The Formula Explained
$$ \text{CumulativeInflation}~(\%) = \left(\frac{\mathrm{CPI}(t)}{\mathrm{CPI}(0)} - 1\right) \times 100 $$
$$ \text{AverageAnnualRate} = \left(\frac{\mathrm{CPI}(t)}{\mathrm{CPI}(0)}\right)^{\frac{1}{t-0}} - 1 $$
Glossary of Variables
- Amount (A0): The nominal dollar value in the start year.
- Start year (0): Year associated with the original amount.
- Target year (t): Year to which you want to adjust the amount.
- CPI(0), CPI(t): CPI‑U values for the start and target years.
- Adjusted amount: The amount expressed in target-year dollars.
- Cumulative inflation: Percentage change in price level between the two years.
- Average annual rate (CAGR): The constant yearly rate that would compound to the same overall change.
Esempio pratico svolto
How It Works: A Step-by-Step Example
Goal: Convert $50.00 from 2000 dollars into 2023 dollars. From the dataset: CPI(2000) = 172.200; CPI(2023) = 305.349.
Adjusted amount = 50.00 × 1.773 ≈ $88.65
Cumulative inflation = (1.773 − 1) × 100 ≈ 77.3%
Years = 23 ⇒ Average annual rate ≈ 1.773^(1/23) − 1 ≈ 2.49%/yr
Interpretation: A $50 purchase in 2000 would require about $88.65 in 2023 to have similar purchasing power.