# \$100 in 2013 is worth \$118.73 today

\$

## Why a dollar today is worth only 84% of a dollar in 2013

Updated: November 10, 2021

\$100 in 2013 is equivalent in purchasing power to about \$118.73 today, an increase of \$18.73 over 8 years. The dollar had an average inflation rate of 2.17% per year between 2013 and today, producing a cumulative price increase of 18.73%.

This means that today's prices are 1.19 times higher than average prices since 2013, according to the Bureau of Labor Statistics consumer price index. A dollar today only buys 84.22% of what it could buy back then.

The 2013 inflation rate was 1.46%. The current year-over-year inflation rate (2020 to 2021) is now 6.22%1. If this number holds, \$100 today will be equivalent in buying power to \$106.22 next year. The current inflation rate page gives more detail on the latest inflation rates.

 Cumulative price change 18.73% Average inflation rate 2.17% Converted amount (\$100 base) \$118.73 Price difference (\$100 base) \$18.73 CPI in 2013 232.957 CPI in 2021 276.589 Inflation in 2013 1.46% Inflation in 2021 6.22% \$100 in 2013 \$118.73 in 2021

USD Inflation since 1913
Annual Rate, the Bureau of Labor Statistics CPI

## Buying power of \$100 in 2013

This chart shows a calculation of buying power equivalence for \$100 in 2013 (price index tracking began in 1635).

For example, if you started with \$100, you would need to end with \$118.73 in order to "adjust" for inflation (sometimes refered to as "beating inflation").

When \$100 is equivalent to \$118.73 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 2013 dollars, the chart below shows how \$100 is worth less over 8 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:

Dollar inflation: 2013-2021
Year Dollar Value Inflation Rate
2013 \$100.00 1.46%
2014 \$101.62 1.62%
2015 \$101.74 0.12%
2016 \$103.03 1.26%
2017 \$105.22 2.13%
2018 \$107.84 2.49%
2019 \$109.74 1.76%
2020 \$111.10 1.23%
2021 \$118.73 6.87%*
* Compared to previous annual rate. Not final. See inflation summary for latest 12-month trailing value.

This conversion table shows various other 2013 amounts in today's dollars, based on the 18.73% change in prices:

Conversion: 2013 dollars today
Initial value Equivalent value
\$1 dollar in 2013 \$1.19 dollars today
\$5 dollars in 2013 \$5.94 dollars today
\$10 dollars in 2013 \$11.87 dollars today
\$50 dollars in 2013 \$59.36 dollars today
\$100 dollars in 2013 \$118.73 dollars today
\$500 dollars in 2013 \$593.65 dollars today
\$1,000 dollars in 2013 \$1,187.30 dollars today
\$5,000 dollars in 2013 \$5,936.48 dollars today
\$10,000 dollars in 2013 \$11,872.96 dollars today
\$50,000 dollars in 2013 \$59,364.82 dollars today
\$100,000 dollars in 2013 \$118,729.64 dollars today
\$500,000 dollars in 2013 \$593,648.18 dollars today
\$1,000,000 dollars in 2013 \$1,187,296.37 dollars today

## Inflation by City

Inflation can vary widely by city, even within the United States. Here's how some cities fared in 2013 to 2021 (figures shown are purchasing power equivalents of \$100):

San Diego, California experienced the highest rate of inflation during the 8 years between 2013 and 2021 (3.87%).

St Louis, Missouri experienced the lowest rate of inflation during the 8 years between 2013 and 2021 (1.23%).

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 £100.00 in 2013 would be equivalent to £120.36 in 2021, an absolute change of £20.36 and a cumulative change of 20.36%.

In Canada, CA\$100.00 in 2013 would be equivalent to CA\$111.98 in 2021, an absolute change of CA\$11.98 and a cumulative change of 11.98%.

Compare these numbers to the US's overall absolute change of \$18.73 and total percent change of 18.73%.

## 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. This chart shows the average rate of inflation for select CPI categories between 2013 and 2021.

Compare these values to the overall average of 2.17% per year:

Category Avg Inflation (%) Total Inflation (%) \$100 in 2013 → 2021
Food and beverages 1.88 16.09 116.09
Housing 2.61 22.87 122.87
Apparel -0.66 -5.15 94.85
Transportation 0.57 4.68 104.68
Medical care 2.66 23.36 123.36
Recreation 1.00 8.29 108.29
Education and communication 0.59 4.79 104.79
Other goods and services 2.14 18.46 118.46

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 2013. This table and charts use the earliest available data for each category.

## How to Calculate Inflation Rate for \$100 since 2013

Our calculations use the following inflation rate formula to calculate the change in value between 2013 and today:

CPI today CPI in 2013
×
2013 USD value
=
Today's value

Then plug in historical CPI values. The U.S. CPI was 232.957 in the year 2013 and 276.589 in 2021:

276.589232.957
×
\$100
=
\$118.73

\$100 in 2013 has the same "purchasing power" or "buying power" as \$118.73 in 2021.

To get the total inflation rate for the 8 years between 2013 and 2021, we use the following formula:

CPI in 2021 - CPI in 2013CPI in 2013
×
100
=
Cumulative inflation rate (8 years)

Plugging in the values to this equation, we get:

276.589 - 232.957232.957
×
100
=
19%

## Alternate Measurements of Inflation

The above data describe the CPI for all items. Also of note is the Core CPI, which measures inflation for all items except for the more volatile categories of food and energy. Core inflation averaged 2.10% per year between 2013 and 2021 (vs all-CPI inflation of 2.17%), for an inflation total of 18.06%.

When using the core inflation measurement, \$100 in 2013 is equivalent in buying power to \$118.06 in 2021, a difference of \$18.06. Recall that for All Items, the converted amount is \$118.73 with a difference of \$18.73.

In 2013, core inflation was 1.76%.

Chained CPI is an alternative measurement that takes into account how consumers adjust spending for similar items. Chained inflation averaged 1.58% per year between 2013 and 2021, a total inflation amount of 18.06%.

According to the Chained CPI measurement, \$100 in 2013 is equal in buying power to \$113.36 in 2021, a difference of \$13.36 (versus a converted amount of \$118.73/change of \$18.73 for All Items).

In 2013, chained inflation was 1.22%.

## Comparison to S&P 500 Index

The average inflation rate of 2.17% has a compounding effect between 2013 and 2021. As noted above, this yearly inflation rate compounds to produce an overall price difference of 18.73% over 8 years.

To help put this inflation into perspective, if we had invested \$100 in the S&P 500 index in 2013, our investment would be nominally worth approximately \$357.19 in 2021. This is a return on investment of 257.19%, with an absolute return of \$257.19 on top of the original \$100.

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 15.78% of returns (\$56.35) during this period. This means the inflation-adjusted real return of our \$100 investment is \$200.84. You may also want to account for capital gains tax, which would take your real return down to around \$171 for most people.

Investment in S&P 500 Index, 2013-2021
Original Amount Final Amount Change
Nominal \$100 \$357.19 257.19%
Real
\$100 \$300.84 200.84%

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 2013 to latest available data for 2021 using average monthly close price.

For more details on the S&P 500 between 2013 and 2021, see the stock market returns calculator.

## News headlines from 2013

Politics and news often influence economic performance. Here's what was happening at the time:

• 100,000 people march in Dhaka demanding justice for the atrocities committed during the Bangladesh Liberation War.
• Pope Benedict XVI resigns, becoming the first pope to do so since 1415.
• Two explosions near the finish line of the Boston Marathon, kill 3 and injure 183 people,
• Xi Jinping becomes President of the People's Republic of China.

## Data Source & Citation

Raw data for these calculations comes from the Bureau of Labor Statistics' (CPI), established in 1913. Inflation data from 1665 to 1912 is sourced from a historical study conducted by political science professor Robert Sahr at Oregon State University.

You may use the following MLA citation for this page: “Value of 2013 dollars today | Inflation Calculator.” Official Inflation Data, Alioth Finance, 10 Nov. 2021, https://www.officialdata.org/us/inflation/2013.

Special thanks to QuickChart for their chart image API, which is used for chart downloads.

in2013dollars.com is a reference website maintained by the Official Data Foundation.

#### About the author

Ian Webster is an engineer and data expert based in San Mateo, California. He has worked for Google, NASA, and consulted for governments around the world on data pipelines and data analysis. Disappointed by the lack of clear resources on the impacts of inflation on economic indicators, Ian believes this website serves as a valuable public tool. Ian earned his degree in Computer Science from Dartmouth College.

 Cumulative price change 18.73% Average inflation rate 2.17% Converted amount (\$100 base) \$118.73 Price difference (\$100 base) \$18.73 CPI in 2013 232.957 CPI in 2021 276.589 Inflation in 2013 1.46% Inflation in 2021 6.22% \$100 in 2013 \$118.73 in 2021