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Value of 1945 US Dollars today

$100 in 1945
$1,748.76 in 2024

The inflation rate in the United States between 1945 and today has been 1,648.76%, which translates into a total increase of $1,648.76. This means that 100 dollars in 1945 are equivalent to 1,748.76 dollars in 2024. In other words, the purchasing power of $100 in 1945 equals $1,748.76 today. The average annual inflation rate between these periods has been 3.69%.

Inflation timeline in the United States (1945 - 2024)

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 1945-2023 1,593.57%
Cumulative inflation 1945-today 1,648.76%
Avg. Annual inflation 1945-2023 3.69%
CPI 1945 17.99
CPI 2023 304.7
CPI 2024-05 (latest official data) 314.07
CPI today 314.63

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 1945 and 2023, use the corresponding CPI values:

Value2023
=Value1945 ×
CPI2023/CPI1945
=$ 100 ×
304.7/17.99
$1,693.57

To obtain the equivalent value today (present value), plug in the CPI for today, which is estimated as 314.63:

Valuetoday
=Value1945 ×
CPItoday/CPI1945
=$ 100 ×
314.63/17.99
$1,748.76

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 78 years between 1945 and 2023 and the average inflation rate was 3.6941%. Therefore, we can resolve the formula like this:

Value2023
=PV × (1 + i)n
=$100 × (1 + 0.036941)78
$1,693.57

US inflation - Conversion table

Initial Value Equivalent value
$1 dollar in 1945 $16.94 dollars in 2023
$5 dollars in 1945 $84.68 dollars in 2023
$10 dollars in 1945 $169.36 dollars in 2023
$50 dollars in 1945 $846.79 dollars in 2023
$100 dollars in 1945 $1,693.57 dollars in 2023
$500 dollars in 1945 $8,467.85 dollars in 2023
$1,000 dollars in 1945 $16,935.71 dollars in 2023
$5,000 dollars in 1945 $84,678.53 dollars in 2023
$10,000 dollars in 1945 $169,357.06 dollars in 2023
$50,000 dollars in 1945 $846,785.32 dollars in 2023
$100,000 dollars in 1945 $1,693,570.63 dollars in 2023
$500,000 dollars in 1945 $8,467,853.17 dollars in 2023
$1,000,000 dollars in 1945 $16,935,706.35 dollars in 2023
Cumulative inflation From 1945 1,648.76%
Avg. annual inflation From 1945 3.69%
CPI 1945 17.99
CPI today 314.63

Value of Dollar over time (by year)

Period Value
1945 100
1946 108.48
1947 124.09
1948 133.63
1949 132.33
1950 133.77
1951 144.28
1952 147.57
1953 148.77
1954 149.24
1955 148.82
1956 151.09
1957 156.14
1958 160.4
1959 162.02
1960 164.38
1961 166.14
1962 168.13
1963 170.22
1964 172.39
1965 175.13
1966 180.41
1967 185.41
1968 193.33
1969 203.89
1970 215.79
1971 225.06
1972 232.42
1973 246.78
1974 274.06
1975 299.12
1976 316.3
1977 336.87
1978 362.58
1979 403.38
1980 458.04
1981 505.37
1982 536.36
1983 553.59
1984 577.4
1985 597.87
1986 609.22
1987 631.54
1988 657.3
1989 689.02
1990 726.22
1991 756.97
1992 779.9
1993 802.92
1994 823.85
1995 846.97
1996 871.79
1997 892.17
1998 906.02
1999 925.85
2000 957.11
2001 984.16
2002 999.77
2003 1,022.46
2004 1,049.84
2005 1,085.46
2006 1,120.47
2007 1,152.44
2008 1,196.68
2009 1,192.42
2010 1,211.98
2011 1,250.24
2012 1,276.11
2013 1,294.81
2014 1,315.81
2015 1,317.37
2016 1,333.99
2017 1,362.41
2018 1,395.68
2019 1,420.98
2020 1,438.51
2021 1,506.08
2022 1,626.61
2023 1,693.57
2024-05 1,745.64
Today 1,748.76

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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