finance calculator
Estimate purchasing power changes over time.
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Future cost
$1,344
Inflation rates directly drive central bank interest rates. Save this page to model how price increases affect long-term goals.
Formula
Future cost = Current amount x (1 + inflation rate)^yearsInflation compounds the price level over time, reducing the buying power of today's money.
Step by step
Example
$1,000 today grows to about $1,344 in future cost after 10 years at 3% annual inflation.
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Summary
Future cost
$1,344
Basket of goods cost.
Purchasing power
$744
Real value of today's sum.
Price increase
$344
Cumulative inflation added.
Value erosion
$256
Purchasing power loss.
D3 visualization
Original purchasing power vs inflation-driven price increase.
D3 visualization
Watch how compounding inflation erodes the purchasing power of your money over the term.
Guide
Inflation is the rate at which the general level of prices for goods and services rises, causing purchasing power to fall. When inflation occurs, each unit of currency buys a smaller percentage of a good or service.
Purchasing power is the value of money expressed in terms of the amount of goods or services it can buy. If your income or savings yield does not increase at the same rate as inflation, your real wealth is declining.
To calculate the future cost of goods and services under a steady rate of inflation, apply the compounding inflation formula:
$$\text{Future Cost} = \text{Current Cost} \times (1 + i)^t$$
Where:
* \(i\) is the annual inflation rate (decimal).
* \(t\) is the time period in years.
To calculate the remaining purchasing power of a fixed sum of cash after years of inflation, apply the erosion formula:
$$\text{Real Value} = \frac{\text{Starting Cash}}{(1 + i)^t}$$
For example, if you keep $10,000 cash in a safe for 20 years under a 3.5% average annual inflation rate, the nominal balance remains $10,000, but its real purchasing power declines to \(10,000 / (1.035)^{20} = 5,025\) (meaning it will buy only half as much).
Governments measure inflation using the Consumer Price Index (CPI), which tracks the average change over time in the prices paid by urban consumers for a market basket of consumer goods and services (food, energy, housing, apparel, transportation, healthcare).
The annual percentage change in the CPI represents the headline inflation rate. Central banks (such as the Federal Reserve) target a long-term inflation rate of 2.0% to maintain a stable, growing economy without triggering hyperinflation or deflationary cycles.
To prevent purchasing power erosion, avoid holding excess cash reserves above your emergency fund requirements. Historically, assets like equities (stocks), real estate, and inflation-indexed bonds (like I-Bonds) have generated returns that outpace inflation, preserving long-term purchasing power.
Purchasing Power
The real value of currency expressed in terms of the volume of goods or services it can buy.
CPI
Consumer Price Index: the primary government metric tracking average price changes of consumer goods.
Deflation
A general decrease in the prices of goods and services, signaling economic contraction.