# \$100 in 2015 is worth \$98.29 in 2013

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## Value of \$100 from 2015 to 2013

\$100 in 2015 is equivalent in purchasing power to about \$98.29 in 2013, an increase of \$-1.71 over 2 years. The dollar had an average inflation rate of 0.87% per year between 2013 and 2015, producing a cumulative price increase of -1.71%.

This means that prices in 2013 are 1.71% lower than average prices since 2015, according to the Bureau of Labor Statistics consumer price index.

The inflation rate in 2013 was 1.46%. The inflation rate in 2015 was 0.12%. The 2015 inflation rate is lower compared to the average inflation rate of 2.35% per year between 2015 and 2022.

 Cumulative price change -1.71% Average inflation rate 0.87% Converted amount (\$100 base) \$98.29 Price difference (\$100 base) \$-1.71 CPI in 2015 237.017 CPI in 2013 232.957 Inflation in 2013 1.46% Inflation in 2015 0.12% \$100 in 2015 \$98.29 in 2013

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 \$98.29 in order to "adjust" for inflation (sometimes refered to as "beating inflation").

When \$100 is equivalent to \$98.29 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 2 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: 2013-2015
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 \$116.32 4.70%
2022 \$119.68 2.89%*
* 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 2015 dollars, based on the -1.71% change in prices:

Conversion: 2013 dollars in 2015
Initial value Equivalent value
\$1 dollar in 2013 \$1.02 dollars in 2015
\$5 dollars in 2013 \$5.09 dollars in 2015
\$10 dollars in 2013 \$10.17 dollars in 2015
\$50 dollars in 2013 \$50.87 dollars in 2015
\$100 dollars in 2013 \$101.74 dollars in 2015
\$500 dollars in 2013 \$508.71 dollars in 2015
\$1,000 dollars in 2013 \$1,017.43 dollars in 2015
\$5,000 dollars in 2013 \$5,087.14 dollars in 2015
\$10,000 dollars in 2013 \$10,174.28 dollars in 2015
\$50,000 dollars in 2013 \$50,871.41 dollars in 2015
\$100,000 dollars in 2013 \$101,742.81 dollars in 2015
\$500,000 dollars in 2013 \$508,714.05 dollars in 2015
\$1,000,000 dollars in 2013 \$1,017,428.11 dollars in 2015

## Inflation by City

Inflation can vary widely by city, even within the United States. Here's how some cities fared in 2015 to 2013 (figures shown are purchasing power equivalents of \$100):

San Diego, California experienced the highest rate of inflation during the 2 years between 2013 and 2015 (2.94%).

Detroit, Michigan experienced the lowest rate of inflation during the 2 years between 2013 and 2015 (-0.12%).

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 2015 would be equivalent to £96.74 in 2013, an absolute change of £-3.26 and a cumulative change of -3.26%.

In Canada, CA\$100.00 in 2015 would be equivalent to CA\$97.04 in 2013, an absolute change of CA\$-2.96 and a cumulative change of -2.96%.

Compare these numbers to the US's overall absolute change of \$-1.71 and total percent change of -1.71%.

## 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 2013 and 2015:

This chart shows the average rate of inflation for select CPI categories between 2015 and 2013.

Compare these values to the overall average of 0.87% per year:

Category Avg Inflation (%) Total Inflation (%) \$100 in 2013 → 2015
Food and beverages 2.06 4.16 104.16
Housing 2.33 4.71 104.71
Apparel -0.59 -1.18 98.82
Transportation -4.31 -8.44 91.56
Medical care 2.51 5.08 105.08
Recreation 0.29 0.59 100.59
Education and communication 0.85 1.71 101.71
Other goods and services 1.72 3.47 103.47

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 2015. This table and charts use the earliest available data for each category.

## How to Calculate Inflation Rate for \$100, 2013 to 2015

Our calculations use the following inflation rate formula to calculate the change in value between 2013 and 2015:

CPI in 2013 CPI in 2015
×
2015 USD value
=
2013 USD value

Then plug in historical CPI values. The U.S. CPI was 237.017 in the year 2015 and 232.957 in 2013:

232.957237.017
×
\$100
=
\$98.29

\$100 in 2015 has the same "purchasing power" or "buying power" as \$98.29 in 2013.

To get the total inflation rate for the 2 years between 2013 and 2015, we use the following formula:

CPI in 2013 - CPI in 2015CPI in 2015
×
100
=
Cumulative inflation rate (2 years)

Plugging in the values to this equation, we get:

232.957 - 237.017237.017
×
100
=
-2%

## 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 1.79% per year between 2015 and 2013 (vs all-CPI inflation of 0.87%), for an inflation total of 3.61%.

When using the core inflation measurement, \$100 in 2015 is equivalent in buying power to \$103.61 in 2013, a difference of \$3.61. Recall that for All Items, the converted amount is \$98.29 with a difference of \$-1.71.

In 2015, 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 0.66% per year between 2015 and 2013, a total inflation amount of 1.33%.

According to the Chained CPI measurement, \$100 in 2015 is equal in buying power to \$101.33 in 2013, a difference of \$1.33 (versus a converted amount of \$98.29/change of \$-1.71 for All Items).

In 2015, chained inflation was 1.22%.

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

• Barack Obama and Raul Castro, hold the first meeting between Cuban and American leaders since the Cuban Revolution.
• The population of India reaches 1 billion (officially). The billionth baby was named Astha Arora.
• Donald Trump announces his intention to join the US presidential campaign.
• China brings an end to its one child policy, 35 years after it was first introduced.

## 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: “\$100 in 2015 → 2013 | Inflation Calculator.” Official Inflation Data, Alioth Finance, 26 Jan. 2022, https://www.officialdata.org/us/inflation/2015?amount=100&endYear=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.