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.
The cumulative inflation rate in the United States between 1913 and 2024 was 3,073.92%, meaning that overall prices were 31.7 times higher than they were in 1913. In other words, the purchasing power of $1 in 1913 was equivalent to $31.74 in 2024. The average annual inflation rate over this period was 3.16%.
The chart below shows how the value of $1 changes over time when adjusted for inflation, based on Consumer Price Index (CPI) data. All values are equivalent in terms of purchasing power, indicating how much money would be needed each year to buy the same goods or services.
All calculations are performed in US dollars with six-decimal precision, though displayed values are rounded to two decimals for readability. Inflation figures are sourced from official government and international reports released monthly.
The following table contains relevant indicators:
| Indicator | Value |
|---|---|
| Cumulative inflation from 1913 to 2024 | 3,073.92% |
| Avg. Annual inflation from 1913 to 2024 | 3.16% |
| CPI 1913 | 9.88 |
| CPI 2024 | 313.69 |
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.
When we have both the start and end years, we can use the following formula:
To obtain the values equivalent in buying power between 1913 and 2024, use the corresponding CPI values:
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:
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 is $1 worth today. There are 111 years between 1913 and 2024 and the average inflation rate was 3.1639%. Therefore, we can resolve the formula like this:
| Initial Value | Equivalent value | |
|---|---|---|
| $1 dollar in 1913 | → | $31.74 dollars in 2024 |
| $5 dollars in 1913 | → | $158.7 dollars in 2024 |
| $10 dollars in 1913 | → | $317.39 dollars in 2024 |
| $50 dollars in 1913 | → | $1,586.96 dollars in 2024 |
| $100 dollars in 1913 | → | $3,173.92 dollars in 2024 |
| $500 dollars in 1913 | → | $15,869.59 dollars in 2024 |
| $1,000 dollars in 1913 | → | $31,739.17 dollars in 2024 |
| $5,000 dollars in 1913 | → | $158,695.87 dollars in 2024 |
| $10,000 dollars in 1913 | → | $317,391.74 dollars in 2024 |
| $50,000 dollars in 1913 | → | $1,586,958.68 dollars in 2024 |
| $100,000 dollars in 1913 | → | $3,173,917.37 dollars in 2024 |
| $500,000 dollars in 1913 | → | $15,869,586.85 dollars in 2024 |
| $1,000,000 dollars in 1913 | → | $31,739,173.69 dollars in 2024 |
| Cumulative inflation 1913-2024 | 3,073.92% |
| Avg. annual inflation 1913-2024 | 3.16% |
| CPI 1913 | 9.88 |
| CPI 2024 | 313.69 |
| Period | Value |
|---|---|
| 1913 | 1 |
| 1914 | 1.01 |
| 1915 | 1.02 |
| 1916 | 1.1 |
| 1917 | 1.3 |
| 1918 | 1.52 |
| 1919 | 1.75 |
| 1920 | 2.03 |
| 1921 | 1.81 |
| 1922 | 1.69 |
| 1923 | 1.73 |
| 1924 | 1.73 |
| 1925 | 1.77 |
| 1926 | 1.79 |
| 1927 | 1.76 |
| 1928 | 1.74 |
| 1929 | 1.74 |
| 1930 | 1.69 |
| 1931 | 1.54 |
| 1932 | 1.38 |
| 1933 | 1.31 |
| 1934 | 1.35 |
| 1935 | 1.39 |
| 1936 | 1.4 |
| 1937 | 1.46 |
| 1938 | 1.43 |
| 1939 | 1.41 |
| 1940 | 1.42 |
| 1941 | 1.49 |
| 1942 | 1.65 |
| 1943 | 1.75 |
| 1944 | 1.78 |
| 1945 | 1.82 |
| 1946 | 1.97 |
| 1947 | 2.26 |
| 1948 | 2.43 |
| 1949 | 2.41 |
| 1950 | 2.44 |
| 1951 | 2.63 |
| 1952 | 2.69 |
| 1953 | 2.71 |
| 1954 | 2.72 |
| 1955 | 2.71 |
| 1956 | 2.75 |
| 1957 | 2.84 |
| 1958 | 2.92 |
| 1959 | 2.95 |
| 1960 | 2.99 |
| 1961 | 3.02 |
| 1962 | 3.06 |
| 1963 | 3.1 |
| 1964 | 3.14 |
| 1965 | 3.19 |
| 1966 | 3.28 |
| 1967 | 3.38 |
| 1968 | 3.52 |
| 1969 | 3.71 |
| 1970 | 3.93 |
| 1971 | 4.1 |
| 1972 | 4.23 |
| 1973 | 4.49 |
| 1974 | 4.99 |
| 1975 | 5.45 |
| 1976 | 5.76 |
| 1977 | 6.13 |
| 1978 | 6.6 |
| 1979 | 7.34 |
| 1980 | 8.34 |
| 1981 | 9.2 |
| 1982 | 9.76 |
| 1983 | 10.08 |
| 1984 | 10.51 |
| 1985 | 10.88 |
| 1986 | 11.09 |
| 1987 | 11.5 |
| 1988 | 11.97 |
| 1989 | 12.54 |
| 1990 | 13.22 |
| 1991 | 13.78 |
| 1992 | 14.2 |
| 1993 | 14.62 |
| 1994 | 15 |
| 1995 | 15.42 |
| 1996 | 15.87 |
| 1997 | 16.24 |
| 1998 | 16.49 |
| 1999 | 16.85 |
| 2000 | 17.42 |
| 2001 | 17.92 |
| 2002 | 18.2 |
| 2003 | 18.61 |
| 2004 | 19.11 |
| 2005 | 19.76 |
| 2006 | 20.4 |
| 2007 | 20.98 |
| 2008 | 21.78 |
| 2009 | 21.71 |
| 2010 | 22.06 |
| 2011 | 22.76 |
| 2012 | 23.23 |
| 2013 | 23.57 |
| 2014 | 23.95 |
| 2015 | 23.98 |
| 2016 | 24.28 |
| 2017 | 24.8 |
| 2018 | 25.41 |
| 2019 | 25.87 |
| 2020 | 26.19 |
| 2021 | 27.42 |
| 2022 | 29.61 |
| 2023 | 30.83 |
| 2024 | 31.74 |
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 | 2024 |
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