# \$1 in 1645 is worth \$29.14 today

\$

## Value of \$1 from 1645 to 2020

According to the Bureau of Labor Statistics consumer price index, today's prices in 2020 are 2,813.51% higher than average prices since 1645. The U.S. dollar experienced an average inflation rate of 0.90% per year during this period, causing the real value of a dollar to decrease.

In other words, \$1 in 1645 is equivalent in purchasing power to about \$29.14 in 2020, a difference of \$28.14 over 375 years.

The 1645 inflation rate was -12.00%. The current year-over-year inflation rate (2019 to 2020) is now 0.33%1. If this number holds, the rate of inflation is so negligible that \$1 today will roughly maintain its value. The current inflation rate page gives more detail on the latest official inflation rates.

 Cumulative price change 2,813.51% Average inflation rate 0.90% Converted amount (\$1 base) \$29.14 Price difference (\$1 base) \$28.14 CPI in 1645 8.800 CPI in 2020 256.389 Inflation in 1645 -12.00% Inflation in 2020 0.33%

USD Inflation since 1635
Annual Rate, the Bureau of Labor Statistics CPI

## Buying power of \$1 in 1645

This chart shows a calculation of buying power equivalence for \$1 in 1645 (price index tracking began in 1635).

For example, if you started with \$1, you would need to end with \$29.14 in order to "adjust" for inflation (sometimes refered to as "beating inflation").

When \$1 is equivalent to \$29.14 over time, that means that the "real value" of a single U.S. dollar decreases over time. In other words, a dollar will pay for fewer items at the store.

This effect explains how inflation erodes the value of a dollar over time. By calculating the value in 1645 dollars, the chart below shows how \$1 is worth less over 375 years.

According to the Bureau of Labor Statistics, each of these USD amounts below is equal in terms of what it could buy at the time:

Dollar inflation: 1645-2020
Year Dollar Value Inflation Rate
1645 \$1.00 -12.00%
1646 \$0.63 -37.50%
1647 \$0.47 -25.45%
1648 \$0.83 78.05%
1649 \$1.22 46.58%
1650 \$0.65 -46.73%
1651 \$0.86 33.33%
1652 \$0.68 -21.05%
1653 \$0.89 30.00%
1654 \$0.89 0.00%
1655 \$0.85 -3.85%
1656 \$0.84 -1.33%
1657 \$0.68 -18.92%
1658 \$0.44 -35.00%
1659 \$0.50 12.82%
1660 \$0.57 13.64%
1661 \$0.48 -16.00%
1662 \$0.51 7.14%
1663 \$0.51 0.00%
1664 \$0.51 0.00%
1665 \$0.43 -15.56%
1666 \$0.43 0.00%
1667 \$0.47 7.89%
1668 \$0.49 4.88%
1669 \$0.45 -6.98%
1670 \$0.45 0.00%
1671 \$0.45 0.00%
1672 \$0.45 0.00%
1673 \$0.44 -2.50%
1674 \$0.47 5.13%
1675 \$0.41 -12.20%
1676 \$0.42 2.78%
1677 \$0.43 2.70%
1678 \$0.41 -5.26%
1679 \$0.41 0.00%
1680 \$0.48 16.67%
1681 \$0.50 4.76%
1682 \$0.42 -15.91%
1683 \$0.42 0.00%
1684 \$0.42 0.00%
1685 \$0.47 10.81%
1686 \$0.43 -7.32%
1687 \$0.43 0.00%
1688 \$0.40 -7.89%
1689 \$0.41 2.86%
1690 \$0.42 2.78%
1691 \$0.44 5.41%
1692 \$0.41 -7.69%
1693 \$0.39 -5.56%
1694 \$0.41 5.88%
1695 \$0.39 -5.56%
1696 \$0.45 17.65%
1697 \$0.45 0.00%
1698 \$0.43 -5.00%
1699 \$0.48 10.53%
1700 \$0.47 -2.38%
1701 \$0.49 4.88%
1702 \$0.44 -9.30%
1703 \$0.44 0.00%
1704 \$0.52 17.95%
1705 \$0.48 -8.70%
1706 \$0.51 7.14%
1707 \$0.49 -4.44%
1708 \$0.41 -16.28%
1709 \$0.51 25.00%
1710 \$0.47 -8.89%
1711 \$0.45 -2.44%
1712 \$0.43 -5.00%
1713 \$0.47 7.89%
1714 \$0.42 -9.76%
1715 \$0.50 18.92%
1716 \$0.47 -6.82%
1717 \$0.51 9.76%
1718 \$0.47 -8.89%
1719 \$0.51 9.76%
1720 \$0.48 -6.67%
1721 \$0.45 -4.76%
1722 \$0.47 2.50%
1723 \$0.48 2.44%
1724 \$0.49 2.38%
1725 \$0.57 16.28%
1726 \$0.53 -6.00%
1727 \$0.57 6.38%
1728 \$0.52 -8.00%
1729 \$0.52 0.00%
1730 \$0.52 0.00%
1731 \$0.48 -8.70%
1732 \$0.43 -9.52%
1733 \$0.44 2.63%
1734 \$0.43 -2.56%
1735 \$0.45 5.26%
1736 \$0.43 -5.00%
1737 \$0.45 5.26%
1738 \$0.47 2.50%
1739 \$0.42 -9.76%
1740 \$0.44 5.41%
1741 \$0.74 66.67%
1742 \$0.66 -10.77%
1743 \$0.59 -10.34%
1744 \$0.55 -7.69%
1745 \$0.52 -4.17%
1746 \$0.55 4.35%
1747 \$0.60 10.42%
1748 \$0.72 18.87%
1749 \$0.73 1.59%
1750 \$0.73 0.00%
1751 \$0.73 0.00%
1752 \$0.75 3.12%
1753 \$0.73 -3.03%
1754 \$0.69 -4.69%
1755 \$0.68 -1.64%
1756 \$0.66 -3.33%
1757 \$0.70 6.90%
1758 \$0.76 8.06%
1759 \$0.90 17.91%
1760 \$0.86 -3.80%
1761 \$0.78 -9.21%
1762 \$0.85 8.70%
1763 \$0.85 0.00%
1764 \$0.80 -6.67%
1765 \$0.82 2.86%
1766 \$0.88 6.94%
1767 \$0.86 -1.30%
1768 \$0.82 -5.26%
1769 \$0.86 5.56%
1770 \$0.93 7.89%
1771 \$0.89 -4.88%
1772 \$1.03 16.67%
1773 \$0.98 -5.49%
1774 \$0.92 -5.81%
1775 \$0.88 -4.94%
1776 \$0.99 12.99%
1777 \$1.20 21.84%
1778 \$1.57 30.19%
1779 \$1.39 -11.59%
1780 \$1.56 12.30%
1781 \$1.26 -18.98%
1782 \$1.37 9.01%
1783 \$1.20 -12.40%
1784 \$1.16 -3.77%
1785 \$1.10 -4.90%
1786 \$1.08 -2.06%
1787 \$1.06 -2.11%
1788 \$1.01 -4.30%
1789 \$1.00 -1.12%
1790 \$1.05 4.55%
1791 \$1.07 2.17%
1792 \$1.09 2.13%
1793 \$1.13 3.13%
1794 \$1.25 11.11%
1795 \$1.43 14.55%
1796 \$1.50 4.76%
1797 \$1.44 -3.79%
1798 \$1.40 -3.15%
1799 \$1.40 0.00%
1800 \$1.43 2.44%
1801 \$1.44 0.79%
1802 \$1.22 -15.75%
1803 \$1.28 5.61%
1804 \$1.34 4.42%
1805 \$1.33 -0.85%
1806 \$1.39 4.27%
1807 \$1.32 -4.92%
1808 \$1.43 8.62%
1809 \$1.40 -2.38%
1810 \$1.40 0.00%
1811 \$1.49 6.50%
1812 \$1.51 1.53%
1813 \$1.82 20.30%
1814 \$2.00 10.00%
1815 \$1.75 -12.50%
1816 \$1.60 -8.44%
1817 \$1.51 -5.67%
1818 \$1.44 -4.51%
1819 \$1.44 0.00%
1820 \$1.33 -7.87%
1821 \$1.28 -3.42%
1822 \$1.33 3.54%
1823 \$1.19 -10.26%
1824 \$1.10 -7.62%
1825 \$1.13 2.06%
1826 \$1.13 0.00%
1827 \$1.14 1.01%
1828 \$1.08 -5.00%
1829 \$1.06 -2.11%
1830 \$1.05 -1.08%
1831 \$0.99 -5.43%
1832 \$0.98 -1.15%
1833 \$0.95 -2.33%
1834 \$0.98 2.38%
1835 \$1.00 2.33%
1836 \$1.06 5.68%
1837 \$1.09 3.23%
1838 \$1.06 -3.12%
1839 \$1.06 0.00%
1840 \$0.99 -6.45%
1841 \$0.99 0.00%
1842 \$0.93 -5.75%
1843 \$0.84 -9.76%
1844 \$0.85 1.35%
1845 \$0.86 1.33%
1846 \$0.88 1.32%
1847 \$0.93 6.49%
1848 \$0.90 -3.66%
1849 \$0.88 -2.53%
1850 \$0.89 1.30%
1851 \$0.88 -1.28%
1852 \$0.88 0.00%
1853 \$0.88 0.00%
1854 \$0.95 9.09%
1855 \$0.99 3.57%
1856 \$0.97 -2.30%
1857 \$0.99 2.35%
1858 \$0.93 -5.75%
1859 \$0.94 1.22%
1860 \$0.94 0.00%
1861 \$1.00 6.02%
1862 \$1.15 14.77%
1863 \$1.43 24.75%
1864 \$1.78 24.60%
1865 \$1.85 3.82%
1866 \$1.81 -2.45%
1867 \$1.68 -6.92%
1868 \$1.61 -4.05%
1869 \$1.55 -4.23%
1870 \$1.49 -3.68%
1871 \$1.39 -6.87%
1872 \$1.39 0.00%
1873 \$1.36 -1.64%
1874 \$1.30 -5.00%
1875 \$1.25 -3.51%
1876 \$1.22 -2.73%
1877 \$1.19 -1.87%
1878 \$1.14 -4.76%
1879 \$1.14 0.00%
1880 \$1.16 2.00%
1881 \$1.16 0.00%
1882 \$1.16 0.00%
1883 \$1.15 -0.98%
1884 \$1.11 -2.97%
1885 \$1.10 -1.02%
1886 \$1.07 -3.09%
1887 \$1.08 1.06%
1888 \$1.08 0.00%
1889 \$1.05 -3.16%
1890 \$1.03 -1.09%
1891 \$1.03 0.00%
1892 \$1.03 0.00%
1893 \$1.02 -1.10%
1894 \$0.98 -4.44%
1895 \$0.95 -2.33%
1896 \$0.95 0.00%
1897 \$0.94 -1.19%
1898 \$0.94 0.00%
1899 \$0.94 0.00%
1900 \$0.95 1.20%
1901 \$0.97 1.19%
1902 \$0.98 1.18%
1903 \$1.00 2.33%
1904 \$1.01 1.14%
1905 \$1.00 -1.12%
1906 \$1.02 2.27%
1907 \$1.07 4.44%
1908 \$1.05 -2.13%
1909 \$1.03 -1.09%
1910 \$1.08 4.40%
1911 \$1.08 0.00%
1912 \$1.10 2.11%
1913 \$1.13 2.06%
1914 \$1.14 1.01%
1915 \$1.15 1.00%
1916 \$1.24 7.92%
1917 \$1.45 17.43%
1918 \$1.72 17.97%
1919 \$1.97 14.57%
1920 \$2.27 15.61%
1921 \$2.03 -10.50%
1922 \$1.91 -6.15%
1923 \$1.94 1.79%
1924 \$1.94 0.00%
1925 \$1.99 2.34%
1926 \$2.01 1.14%
1927 \$1.98 -1.69%
1928 \$1.94 -1.72%
1929 \$1.94 0.00%
1930 \$1.90 -2.34%
1931 \$1.73 -8.98%
1932 \$1.56 -9.87%
1933 \$1.48 -5.11%
1934 \$1.52 3.08%
1935 \$1.56 2.24%
1936 \$1.58 1.46%
1937 \$1.64 3.60%
1938 \$1.60 -2.08%
1939 \$1.58 -1.42%
1940 \$1.59 0.72%
1941 \$1.67 5.00%
1942 \$1.85 10.88%
1943 \$1.97 6.13%
1944 \$2.00 1.73%
1945 \$2.05 2.27%
1946 \$2.22 8.33%
1947 \$2.53 14.36%
1948 \$2.74 8.07%
1949 \$2.70 -1.24%
1950 \$2.74 1.26%
1951 \$2.95 7.88%
1952 \$3.01 1.92%
1953 \$3.03 0.75%
1954 \$3.06 0.75%
1955 \$3.05 -0.37%
1956 \$3.09 1.49%
1957 \$3.19 3.31%
1958 \$3.28 2.85%
1959 \$3.31 0.69%
1960 \$3.36 1.72%
1961 \$3.40 1.01%
1962 \$3.43 1.00%
1963 \$3.48 1.32%
1964 \$3.52 1.31%
1965 \$3.58 1.61%
1966 \$3.68 2.86%
1967 \$3.80 3.09%
1968 \$3.95 4.19%
1969 \$4.17 5.46%
1970 \$4.41 5.72%
1971 \$4.60 4.38%
1972 \$4.75 3.21%
1973 \$5.05 6.22%
1974 \$5.60 11.04%
1975 \$6.11 9.13%
1976 \$6.47 5.76%
1977 \$6.89 6.50%
1978 \$7.41 7.59%
1979 \$8.25 11.35%
1980 \$9.36 13.50%
1981 \$10.33 10.32%
1982 \$10.97 6.16%
1983 \$11.32 3.21%
1984 \$11.81 4.32%
1985 \$12.23 3.56%
1986 \$12.45 1.86%
1987 \$12.91 3.65%
1988 \$13.44 4.14%
1989 \$14.09 4.82%
1990 \$14.85 5.40%
1991 \$15.48 4.21%
1992 \$15.94 3.01%
1993 \$16.42 2.99%
1994 \$16.84 2.56%
1995 \$17.32 2.83%
1996 \$17.83 2.95%
1997 \$18.24 2.29%
1998 \$18.52 1.56%
1999 \$18.93 2.21%
2000 \$19.57 3.36%
2001 \$20.12 2.85%
2002 \$20.44 1.58%
2003 \$20.91 2.28%
2004 \$21.47 2.66%
2005 \$22.19 3.39%
2006 \$22.91 3.23%
2007 \$23.56 2.85%
2008 \$24.47 3.84%
2009 \$24.38 -0.36%
2010 \$24.78 1.64%
2011 \$25.56 3.16%
2012 \$26.09 2.07%
2013 \$26.47 1.46%
2014 \$26.90 1.62%
2015 \$26.93 0.12%
2016 \$27.27 1.26%
2017 \$27.85 2.13%
2018 \$28.55 2.49%
2019 \$29.05 1.76%
2020 \$29.14 0.29%*
* Compared to previous annual rate. Not final. See inflation summary for latest 12-month trailing value.
Click to show 369 more rows

This conversion table shows various other 1645 amounts in today's dollars, based on the 2,813.51% change in prices:

Conversion Table: Value of a dollar today
Initial value Equivalent value
\$1 dollar in 1645 \$29.14 dollars today
\$5 dollars in 1645 \$145.68 dollars today
\$10 dollars in 1645 \$291.35 dollars today
\$50 dollars in 1645 \$1,456.76 dollars today
\$100 dollars in 1645 \$2,913.51 dollars today
\$500 dollars in 1645 \$14,567.56 dollars today
\$1,000 dollars in 1645 \$29,135.11 dollars today
\$5,000 dollars in 1645 \$145,675.57 dollars today
\$10,000 dollars in 1645 \$291,351.14 dollars today
\$50,000 dollars in 1645 \$1,456,755.68 dollars today
\$100,000 dollars in 1645 \$2,913,511.36 dollars today
\$500,000 dollars in 1645 \$14,567,556.82 dollars today
\$1,000,000 dollars in 1645 \$29,135,113.64 dollars today

## Inflation by Spending Category

CPI is the weighted combination of many categories of spending that are tracked by the government. Breaking down these categories helps explain the main drivers behind price changes. This chart shows the average rate of inflation for select CPI categories between 1645 and 2020.

Compare these values to the overall average of 0.90% per year:

Category Avg Inflation (%) Total Inflation (%) \$1 in 1645 → 2020
Food and beverages 3.87 155,290,892.56 1,552,909.93
Housing 4.18 471,954,102.63 4,719,542.03
Apparel 1.98 157,957.22 1,580.57
Transportation 3.18 12,600,032.19 126,001.32
Medical care 5.11 12,911,440,182.65 129,114,402.83
Recreation 1.09 5,812.77 59.13
Education and communication 1.82 87,068.07 871.68
Other goods and services 4.98 8,159,260,834.44 81,592,609.34

The graph below compares inflation in categories of goods over time. Click on a category such as "Food" to toggle it on or off:

For all these visualizations, it's important to note that not all categories may have been tracked since 1645. This table and charts use the earliest available data for each category.

## How to Calculate Inflation Rate for \$1 since 1645

Our calculations use the following inflation rate formula to calculate the change in value between 1645 and today:

CPI today CPI in 1645
×
1645 USD value
=
Today's value

Then plug in historical CPI values. The U.S. CPI was 8.8 in the year 1645 and 256.389 in 2020:

256.3898.8
×
\$1
=
\$29.14

\$1 in 1645 has the same "purchasing power" or "buying power" as \$29.14 in 2020.

To get the total inflation rate for the 375 years between 1645 and 2020, we use the following formula:

CPI in 2020 - CPI in 1645CPI in 1645
×
100
=
Cumulative inflation rate (375 years)

Plugging in the values to this equation, we get:

256.389 - 8.88.8
×
100
=
2,814%

## Data Source & Citation

Raw data for these calculations comes from the Bureau of Labor Statistics' (CPI), established in 1913. Inflation data from 1665 to 1912 is sourced from a historical study conducted by political science professor Robert Sahr at Oregon State University.

You may use the following MLA citation for this page: “\$1 in 1645 → 2020 | Inflation Calculator.” Official Inflation Data, Alioth Finance, 25 May. 2020, https://www.officialdata.org/us/inflation/1645?amount=1&endYear=2020.