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# Inflation calculator - US Dollar

This tool is useful to calculate the time value of money based on historical inflation and CPI values. To start, select an amount and two years, or browse the default calculation results.

\$100 in 1913
\$3,082.98 in 2023

The inflation rate in the United States between 1913 and 2023 was 2,982.98%, which translates into a total increase of \$2,982.98. This means that 100 dollars in 1913 are equivalent to 3,082.98 dollars in 2023. In other words, the purchasing power of \$100 in 1913 equals \$3,082.98 in 2023. The average annual inflation rate between these periods was 3.17%.

## Inflation timeline in the United States (1913 - 2023)

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 1913 to 2023 2,982.98%
Avg. Annual inflation from 1913 to 2023 3.17%
CPI 1913 9.88
CPI 2023 304.7

## 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 1913 and 2023, use the corresponding CPI values:

Value2023
=Value1913 ×
CPI2023/CPI1913
=\$ 100 ×
304.7/9.88
\$3,082.98

### 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 110 years between 1913 and 2023 and the average inflation rate was 3.1659%. Therefore, we can resolve the formula like this:

Value2023
=PV × (1 + i)n
=\$100 × (1 + 0.031659)110
\$3,082.98

## US inflation - Conversion table

Initial Value Equivalent value
\$1 dollar in 1913 \$30.83 dollars in 2023
\$5 dollars in 1913 \$154.15 dollars in 2023
\$10 dollars in 1913 \$308.3 dollars in 2023
\$50 dollars in 1913 \$1,541.49 dollars in 2023
\$100 dollars in 1913 \$3,082.98 dollars in 2023
\$500 dollars in 1913 \$15,414.92 dollars in 2023
\$1,000 dollars in 1913 \$30,829.84 dollars in 2023
\$5,000 dollars in 1913 \$154,149.2 dollars in 2023
\$10,000 dollars in 1913 \$308,298.4 dollars in 2023
\$50,000 dollars in 1913 \$1,541,491.99 dollars in 2023
\$100,000 dollars in 1913 \$3,082,983.98 dollars in 2023
\$500,000 dollars in 1913 \$15,414,919.9 dollars in 2023
\$1,000,000 dollars in 1913 \$30,829,839.8 dollars in 2023
 Cumulative inflation 1913-2023 2,982.98% Avg. annual inflation 1913-2023 3.17% CPI 1913 9.88 CPI 2023 304.7

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

Period Value
1913 100
1914 101.35
1915 102.28
1916 110.12
1917 129.76
1918 152.19
1919 175.38
1920 202.78
1921 180.61
1922 169.48
1923 172.51
1924 173.27
1925 177.49
1926 179.09
1927 175.63
1928 173.61
1929 173.61
1930 168.97
1931 153.88
1932 138.03
1933 130.86
1934 135.41
1935 138.87
1936 140.3
1937 145.53
1938 142.58
1939 140.73
1940 141.74
1941 148.99
1942 165.26
1943 175.13
1944 177.99
1945 182.04
1946 197.47
1947 225.89
1948 243.25
1949 240.89
1950 243.51
1951 262.65
1952 268.63
1953 270.83
1954 271.67
1955 270.91
1956 275.04
1957 284.23
1958 291.99
1959 294.94
1960 299.24
1961 302.45
1962 306.07
1963 309.87
1964 313.83
1965 318.8
1966 328.41
1967 337.52
1968 351.94
1969 371.16
1970 392.83
1971 409.7
1972 423.1
1973 449.24
1974 498.9
1975 544.52
1976 575.8
1977 613.24
1978 660.03
1979 734.32
1980 833.81
1981 919.98
1982 976.39
1983 1,007.76
1984 1,051.1
1985 1,088.36
1986 1,109.02
1987 1,149.66
1988 1,196.54
1989 1,254.3
1990 1,322.01
1991 1,377.99
1992 1,419.73
1993 1,461.64
1994 1,499.75
1995 1,541.82
1996 1,587.02
1997 1,624.11
1998 1,649.33
1999 1,685.41
2000 1,742.33
2001 1,791.57
2002 1,819.98
2003 1,861.3
2004 1,911.13
2005 1,975.97
2006 2,039.71
2007 2,097.9
2008 2,178.44
2009 2,170.69
2010 2,206.3
2011 2,275.94
2012 2,323.04
2013 2,357.07
2014 2,395.31
2015 2,398.15
2016 2,428.4
2017 2,480.13
2018 2,540.71
2019 2,586.75
2020 2,618.66
2021 2,741.68
2022 2,961.1
2023 3,082.98

All available years

Today's value of US dollars by year:

1913 | 1914 | 1915 | 1916 | 1917 | 1918 | 1919 | 1920 | 1921 | 1922 | 1923 | 1924 | 1925 | 1926 | 1927 | 1928 | 1929 | 1930 | 1931 | 1932 | 1933 | 1934 | 1935 | 1936 | 1937 | 1938 | 1939 | 1940 | 1941 | 1942 | 1943 | 1944 | 1945 | 1946 | 1947 | 1948 | 1949 | 1950 | 1951 | 1952 | 1953 | 1954 | 1955 | 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 | 2023 |

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