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# Value of 2013 US Dollars today

\$100 in 2013
\$126.18 in 2022

The inflation rate in the United States between 2013 and today has been 26.18%, which translates into a total increase of \$26.18. This means that 100 dollars in 2013 are equivalent to 126.18 dollars in 2022. In other words, the purchasing power of \$100 in 2013 equals \$126.18 today. The average annual inflation rate between these periods has been 2.62%.

## Inflation timeline in the United States (2013 - 2022)

The following chart depicts the equivalence of \$100 due to compound inflation and CPI changes. All values are equivalent in terms of purchasing power, which means that for each year the same goods or services could be bought with the indicated amount of money.

All calculations are performed in the local currency (USD) and using 6 decimal digits. Results show only up to 2 decimal digits to favour readability. Inflation data is provided by governments and international institutions on a monthly basis. Today's values were extrapolated from the latest 12-month rolling average official data.

The following table contains relevant indicators:

Indicator Value
Cumulative inflation 2013-2021 16.32%
Cumulative inflation 2013-today 26.18%
Avg. Annual inflation 2013-2021 1.91%
CPI 2013 98.29
CPI 2021 114.33
CPI 2022-05 (latest official data) 123.32
CPI today 124.02

## How to calculate today's value of money after inflation?

There are several ways to calculate the time value of money. Depending on the data available, results can be obtained by using the Consumer Price Index (CPI) formula or the compound interest formula.

### Using the CPI formula

When we have both the start and end years, we can use the following formula:

Valuet =Value0 ×
CPIt/CPI0

To obtain the values equivalent in buying power between 2013 and 2021, use the corresponding CPI values:

Value2021
=Value2013 ×
CPI2021/CPI2013
=\$ 100 ×
114.33/98.29
\$116.32

To obtain the equivalent value today (present value), plug in the CPI for today, which is estimated as 124.02:

Valuetoday
=Value2013 ×
CPItoday/CPI2013
=\$ 100 ×
124.02/98.29
\$126.18

### Alternative: Using the compound interest formula

Given that money changes with time as a result of an inflation rate that acts as compound interest, we can use the following formula: FV = PV × (1 + i)n, where:

• FV: Future Value
• PV: Present Value
• i: Interest rate (inflation)
• n: Number of times the interest is compounded (i.e. # of years)

In this case, the future value represents the final amount obtained after applying the inflation rate to our initial value. In other words, it indicates how much are \$100 worth today. There are 8 years between 2013 and 2021 and the average inflation rate was 1.9074%. Therefore, we can resolve the formula like this:

Value2021
=PV × (1 + i)n
=\$100 × (1 + 0.019074)8
\$116.32

## US inflation - Conversion table

Initial Value Equivalent value
\$1 dollar in 2013 \$1.16 dollars in 2021
\$5 dollars in 2013 \$5.82 dollars in 2021
\$10 dollars in 2013 \$11.63 dollars in 2021
\$50 dollars in 2013 \$58.16 dollars in 2021
\$100 dollars in 2013 \$116.32 dollars in 2021
\$500 dollars in 2013 \$581.59 dollars in 2021
\$1,000 dollars in 2013 \$1,163.17 dollars in 2021
\$5,000 dollars in 2013 \$5,815.87 dollars in 2021
\$10,000 dollars in 2013 \$11,631.74 dollars in 2021
\$50,000 dollars in 2013 \$58,158.71 dollars in 2021
\$100,000 dollars in 2013 \$116,317.42 dollars in 2021
\$500,000 dollars in 2013 \$581,587.12 dollars in 2021
\$1,000,000 dollars in 2013 \$1,163,174.24 dollars in 2021
 Cumulative inflation From 2013 26.18% Avg. annual inflation From 2013 2.62% CPI 2013 98.29 CPI today 124.02

### Value of Dollar over time (by year)

Period Value
2013 100
2014 101.62
2015 101.74
2016 103.03
2017 105.22
2018 107.79
2019 109.74
2020 111.1
2021 116.32
2022-05 125.47
Today 126.18

All available years

Today's value of US dollars by year:

1956 | 1957 | 1958 | 1959 | 1960 | 1961 | 1962 | 1963 | 1964 | 1965 | 1966 | 1967 | 1968 | 1969 | 1970 | 1971 | 1972 | 1973 | 1974 | 1975 | 1976 | 1977 | 1978 | 1979 | 1980 | 1981 | 1982 | 1983 | 1984 | 1985 | 1986 | 1987 | 1988 | 1989 | 1990 | 1991 | 1992 | 1993 | 1994 | 1995 | 1996 | 1997 | 1998 | 1999 | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | 2021 |

Other currencies: