$1 in 1645 → $0.86 in 1651

Inflation Calculator

$

U.S. Inflation Rate, $1 from 1645 to 1651

According to the Bureau of Labor Statistics consumer price index, prices in 1651 are 13.64% lower than average prices since 1645. The U.S. dollar experienced an average deflation rate of -2.41% per year during this period, meaning the real value of a dollar increased.

In other words, $1 in 1645 is equivalent in purchasing power to about $0.86 in 1651, a difference of $-0.14 over 6 years.

The 1645 inflation rate was -12.00%. The inflation rate in 1651 was 33.33%. The 1651 inflation rate is higher compared to the average inflation rate of 0.96% per year between 1651 and 2020.


Inflation from 1645 to 1651
Cumulative price change -13.64%
Average inflation rate -2.41%
Converted amount ($1 base) $0.86
Price difference ($1 base) $-0.14
CPI in 1645 8.800
CPI in 1651 7.600
Inflation in 1645 -12.00%
Inflation in 1651 33.33%

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

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 $0.86 in order to "adjust" for inflation (sometimes refered to as "beating inflation").

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:

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 $29.31 0.90%*
* Compared to previous annual rate. Not final. See inflation summary for latest 12-month trailing value.

Inflation by Spending Category

CPI is the weighted combination of many categories of spending that are tracked by the government. This chart shows the average rate of inflation for select CPI categories between 1645 and 1651.

Compare these values to the overall average of -2.41% per year:

Category Avg Inflation (%) Total Inflation (%) $1 in 1645 → 1651
Food and beverages 0.00 0.00 1.00
Housing 0.00 0.00 1.00
Apparel 0.00 0.00 1.00
Transportation 0.00 0.00 1.00
Medical care 0.00 0.00 1.00
Recreation 0.00 0.00 1.00
Education and communication 0.00 0.00 1.00
Other goods and services 0.00 0.00 1.00

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, 1645 to 1651

This inflation calculator uses the following inflation rate formula:

CPI in 1651CPI in 1645
×
1645 USD value
=
1651 USD value

Then plug in historical CPI values. The U.S. CPI was 8.8 in the year 1645 and 7.6 in 1651:

7.68.8
×
$1
=
$0.86

$1 in 1645 has the same "purchasing power" or "buying power" as $0.86 in 1651.

To get the total inflation rate for the 6 years between 1645 and 1651, we use the following formula:

CPI in 1651 - CPI in 1645CPI in 1645
×
100
=
Cumulative inflation rate (6 years)

Plugging in the values to this equation, we get:

7.6 - 8.88.8
×
100
=
-14%

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 → 1651 | Inflation Calculator.” Official Inflation Data, Alioth Finance, 19 Feb. 2020, https://www.officialdata.org/us/inflation/1645?amount=1&endYear=1651.

Special thanks to QuickChart for providing downloadable chart images.

in2013dollars.com is a reference website maintained by the Official Data Foundation.


Ian Webster

About the author

Ian Webster is an engineer and data expert based in San Mateo, California. He has worked for Google, NASA, and consulted for governments around the world on data pipelines and data analysis. Disappointed by the lack of clear resources on the impacts of inflation on economic indicators, Ian believes this website serves as a valuable public tool. Ian earned his degree in Computer Science from Dartmouth College.

Email · LinkedIn · Twitter


» Read more about inflation and investment.

Inflation from 1645 to 1651
Cumulative price change -13.64%
Average inflation rate -2.41%
Converted amount ($1 base) $0.86
Price difference ($1 base) $-0.14
CPI in 1645 8.800
CPI in 1651 7.600
Inflation in 1645 -12.00%
Inflation in 1651 33.33%