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How to Calculate Inflation and Purchasing Power

Understand inflation calculations, CPI, purchasing power changes, and the difference between real and nominal values.

What Is Inflation?

Inflation is the rate at which the general level of prices for goods and services rises over time, eroding the purchasing power of money. When inflation is 3%, something that cost $100 last year now costs $103. Understanding inflation is crucial for financial planning, salary negotiations, and investment decisions.

The Inflation Rate Formula

Inflation Rate = ((CPI Current - CPI Previous) รท CPI Previous) ร— 100

Where CPI = Consumer Price Index

Example: Calculating Annual Inflation

If the CPI was 292.7 at the end of 2023 and 304.7 at the end of 2024:

  1. Find the difference: 304.7 - 292.7 = 12.0
  2. Divide by original CPI: 12.0 รท 292.7 = 0.041
  3. Convert to percentage: 0.041 ร— 100 = 4.1% inflation

Purchasing Power Formula

Purchasing power measures how much your money can actually buy. As inflation rises, purchasing power falls.

Future Value = Present Value ร— (1 + Inflation Rate)n

Purchasing Power = Original Amount รท (1 + Inflation Rate)n

Example: Purchasing Power Erosion

What is $1,000 worth after 10 years with 3% annual inflation?

Purchasing Power = $1,000 รท (1.03)10 = $1,000 รท 1.3439 = $744.09

After just 10 years at 3% inflation, your $1,000 has the buying power of only $744. This is why keeping money in a zero-interest account loses value over time.

How $100 Loses Value Over Time

Years At 2% Inflation At 3% Inflation At 5% Inflation
5$90.57$86.26$78.35
10$82.03$74.41$61.39
20$67.30$55.37$37.69
30$55.21$41.20$23.14

Real vs Nominal Values

Nominal values are stated in current dollars. Real values are adjusted for inflation to reflect actual purchasing power.

Real Value = Nominal Value รท (1 + Cumulative Inflation Rate)

Real Return = Nominal Return - Inflation Rate

Example: Your investment earned 8% this year, but inflation was 3%. Your real return is approximately 8% - 3% = 5%.

Historical US Inflation Rates

Decade Average Annual Inflation Impact on $100
1960s2.5%$100 โ†’ $78.12
1970s7.4%$100 โ†’ $48.52
1980s5.1%$100 โ†’ $60.95
1990s2.9%$100 โ†’ $74.90
2000s2.6%$100 โ†’ $77.12
2010s1.8%$100 โ†’ $83.65

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