$13.82 in 1981 is worth $37.27 in 2017

Buying power of $13.82 in 1981

This chart shows a calculation of buying power equivalence for $13.82 in 1981 (price index tracking began in 1635).

For example, if you started with $13.82, you would need to end with $37.27 in order to "adjust" for inflation (sometimes refered to as "beating inflation").

When $13.82 is equivalent to $37.27 over time, that means that the "real value" of a single U.S. dollar decreases over time. In other words, a dollar will pay for fewer items at the store.

This effect explains how inflation erodes the value of a dollar over time. By calculating the value in 1981 dollars, the chart below shows how $13.82 is worth less over 36 years.

According to the Bureau of Labor Statistics, each of these USD amounts below is equal in terms of what it could buy at the time:

This conversion table shows various other 1981 amounts in 2017 dollars, based on the 169.66% change in prices:

Inflation by City

Inflation can vary widely by city, even within the United States. Here's how some cities fared in 1981 to 2017 (figures shown are purchasing power equivalents of $13.82):

• San Francisco, California: 3.14% average rate, $13.82 → $42.10, cumulative change of 204.62%
• New York: 3.08% average rate, $13.82 → $41.18, cumulative change of 197.94%
• Boston, Massachusetts: 3.02% average rate, $13.82 → $40.32, cumulative change of 191.77%
• Seattle, Washington: 2.97% average rate, $13.82 → $39.69, cumulative change of 187.20%
• Miami-Fort Lauderdale, Florida: 2.95% average rate, $13.82 → $39.36, cumulative change of 184.82%
• Philadelphia, Pennsylvania: 2.79% average rate, $13.82 → $37.27, cumulative change of 169.67%
• Chicago, Illinois: 2.68% average rate, $13.82 → $35.86, cumulative change of 159.45%
• Atlanta, Georgia: 2.68% average rate, $13.82 → $35.77, cumulative change of 158.81%
• Dallas-Fort Worth, Texas: 2.58% average rate, $13.82 → $34.52, cumulative change of 149.80%
• Houston, Texas: 2.50% average rate, $13.82 → $33.64, cumulative change of 143.42%
• Detroit, Michigan: 2.50% average rate, $13.82 → $33.59, cumulative change of 143.07%

San Francisco, California experienced the highest rate of inflation during the 36 years between 1981 and 2017 (3.14%).

Detroit, Michigan experienced the lowest rate of inflation during the 36 years between 1981 and 2017 (2.50%).

Note that some locations showing 0% inflation may have not yet reported latest data.

Inflation by Country

Inflation can also vary widely by country. For comparison, in the UK £13.82 in 1981 would be equivalent to £50.36 in 2017, an absolute change of £36.54 and a cumulative change of 264.37%.

In Canada, CA$13.82 in 1981 would be equivalent to CA$36.40 in 2017, an absolute change of CA$22.58 and a cumulative change of 163.35%.

Compare these numbers to the US's overall absolute change of $23.45 and total percent change of 169.66%.

Inflation by Spending Category

CPI is the weighted combination of many categories of spending that are tracked by the government. Breaking down these categories helps explain the main drivers behind price changes.

Between 1981 and 2017:

• Gas prices increased from $1.30 per gallon to $2.35
• Bread prices increased from $0.53 per loaf to $1.35
• Egg prices increased from $0.94 per carton to $1.60
• Chicken prices increased from $0.75 per per 1 lb of whole chicken to $1.42
• Electricity prices increased from $0.06 per KwH to $0.13

This chart shows the average rate of inflation for select CPI categories between 1981 and 2017.

Compare these values to the overall average of 2.79% per year:

The graph below compares inflation in categories of goods over time. Click on a category such as "Food" to toggle it on or off:

For all these visualizations, it's important to note that not all categories may have been tracked since 1981. This table and charts use the earliest available data for each category.

How to calculate inflation rate for $13.82, 1981 to 2017

Our calculations use the following inflation rate formula to calculate the change in value between 1981 and 2017:

Then plug in historical CPI values. The U.S. CPI was 90.9 in the year 1981 and 245.12 in 2017:

$13.82 in 1981 has the same "purchasing power" or "buying power" as $37.27 in 2017.

To get the total inflation rate for the 36 years between 1981 and 2017, we use the following formula:

Plugging in the values to this equation, we get:

Alternate Measurements of Inflation

There are multiple ways to measure inflation. Published rates of inflation will vary depending on methodology. The Consumer Price Index, used above, is the most common standard used globally.

Alternative measurements are sometimes used based on context and economic/political circumstances. Below are a few examples of alternative measurements.

Personal Consumption Expenditures (PCE) Inflation

The PCE Price Index is the U.S. Federal Reserve's preferred measure of inflation, compiled by the Bureau of Economic Analysis. It measures the change in prices of goods and services purchased by consumers.

The PCE Price Index changed by 2.41% per year on average between 1981 and 2017. The total PCE inflation between these dates was 135.76%. In 1981, PCE inflation was 8.96%.

This means that the PCE Index equates $13.82 in 1981 with $32.58 in 2017, a difference of $18.76. Compare this to the standard CPI measurement, which equates $13.82 with $37.27. The PCE measured -33.89% inflation compared to standard CPI.

For more information on the difference between PCE and CPI, see this analysis provided by the Bureau of Labor Statistics.

Core Inflation

Also of note is the Core CPI, which uses the standard CPI but omits the more volatile categories of food and energy.

Core inflation averaged 2.93% per year between 1981 and 2017 (vs all-CPI inflation of 2.79%), for an inflation total of 182.58%. In 1981, core inflation was 10.46%.

When using the core inflation measurement, $13.82 in 1981 is equivalent in buying power to $39.05 in 2017, a difference of $25.23. Recall that the converted amount is $37.27 when all items including food and energy are measured.

Comparison to S&P 500 Index

The average inflation rate of 2.79% has a compounding effect between 1981 and 2017. As noted above, this yearly inflation rate compounds to produce an overall price difference of 169.66% over 36 years.

To help put this inflation into perspective, if we had invested $13.82 in the S&P 500 index in 1981, our investment would be nominally worth approximately $746.32 in 2017. This is a return on investment of 5,300.28%, with an absolute return of $732.50 on top of the original $13.82.

These numbers are not inflation adjusted, so they are considered nominal. In order to evaluate the real return on our investment, we must calculate the return with inflation taken into account.

The compounding effect of inflation would account for 0.00% of returns ($0.00) during this period. This means the inflation-adjusted real return of our $13.82 investment is $0.00. You may also want to account for capital gains tax, which would take your real return down to around $0 for most people.

Information displayed above may differ slightly from other S&P 500 calculators. Minor discrepancies can occur because we use the latest CPI data for inflation, annualized inflation numbers for previous years, and we compute S&P price and dividends from January of 1981 to latest available data for 2017 using average monthly close price.

For more details on the S&P 500 between 1981 and 2017, see the stock market returns calculator.

Data source & citation

Raw data for these calculations comes from the Bureau of Labor Statistics' Consumer Price Index (CPI), established in 1913. Price index data from 1774 to 1912 is sourced from a historical study conducted by political science professor Robert Sahr at Oregon State University and from the American Antiquarian Society. Price index data from 1634 to 1773 is from the American Antiquarian Society, using British pound equivalents.

» Read more about inflation and investment.