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# Inflation calculator - US Dollar

\$100 in 2012
\$127.47 in 2022

The inflation rate in the United States between 2012 and 2022 was 27.47%, which translates into a total increase of \$27.47. This means that 100 dollars in 2012 are equivalent to 127.47 dollars in 2022. In other words, the purchasing power of \$100 in 2012 equals \$127.47 in 2022. The average annual inflation rate between these periods was 2.46%.

## Inflation timeline in the United States (2012 - 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.

The following table contains relevant indicators:

Indicator Value
Cumulative inflation from 2012 to 2022 27.47%
Avg. Annual inflation from 2012 to 2022 2.46%
CPI 2012 96.87
CPI 2022 123.47

## How to calculate the time value of money with inflation data?

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 2012 and 2022, use the corresponding CPI values:

Value2022
=Value2012 ×
CPI2022/CPI2012
=\$ 100 ×
123.47/96.87
\$127.47

### 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 10 years between 2012 and 2022 and the average inflation rate was 2.4565%. Therefore, we can resolve the formula like this:

Value2022
=PV × (1 + i)n
=\$100 × (1 + 0.024565)10
\$127.47

## US inflation - Conversion table

Initial Value Equivalent value
\$1 dollar in 2012 \$1.27 dollars in 2022
\$5 dollars in 2012 \$6.37 dollars in 2022
\$10 dollars in 2012 \$12.75 dollars in 2022
\$50 dollars in 2012 \$63.73 dollars in 2022
\$100 dollars in 2012 \$127.47 dollars in 2022
\$500 dollars in 2012 \$637.33 dollars in 2022
\$1,000 dollars in 2012 \$1,274.66 dollars in 2022
\$5,000 dollars in 2012 \$6,373.31 dollars in 2022
\$10,000 dollars in 2012 \$12,746.63 dollars in 2022
\$50,000 dollars in 2012 \$63,733.15 dollars in 2022
\$100,000 dollars in 2012 \$127,466.29 dollars in 2022
\$500,000 dollars in 2012 \$637,331.46 dollars in 2022
\$1,000,000 dollars in 2012 \$1,274,662.91 dollars in 2022
 Cumulative inflation 2012-2022 27.47% Avg. annual inflation 2012-2022 2.46% CPI 2012 96.87 CPI 2022 123.47

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

Period Value
2012 100
2013 101.46
2014 103.11
2015 103.23
2016 104.54
2017 106.76
2018 109.37
2019 111.35
2020 112.73
2021 118.02
2022 127.47

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 | 2022 |

Other currencies: