$100 in 1830 is worth $261.96 in 1950

Value of $100 from 1830 to 1950

$100 in 1830 is equivalent in purchasing power to about $261.96 in 1950, an increase of $161.96 over 120 years. The dollar had an average inflation rate of 0.81% per year between 1830 and 1950, producing a cumulative price increase of 161.96%.

This means that prices in 1950 are 2.62 times as high as average prices since 1830, according to the Bureau of Labor Statistics consumer price index.

The inflation rate in 1830 was -1.08%. The inflation rate in 1950 was 1.26%. The 1950 inflation rate is lower compared to the average inflation rate of 3.50% per year between 1950 and 2023.


Inflation from 1830 to 1950
Cumulative price change161.96%
Average inflation rate0.81%
Converted amount ($100 base)$261.96
Price difference ($100 base)$161.96
CPI in 18309.200
CPI in 195024.100
Inflation in 1830-1.08%
Inflation in 19501.26%
$100 in 1830$261.96 in 1950

USD inflation since 1830
Annual Rate, the Bureau of Labor Statistics CPI
Download

Buying power of $100 in 1830

This chart shows a calculation of buying power equivalence for $100 in 1830 (price index tracking began in 1635).

For example, if you started with $100, you would need to end with $261.96 in order to "adjust" for inflation (sometimes refered to as "beating inflation").

When $100 is equivalent to $261.96 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 1830 dollars, the chart below shows how $100 is worth less over 120 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: 1830-1950
YearDollar ValueInflation Rate
1830$100.00-1.08%
1831$94.57-5.43%
1832$93.48-1.15%
1833$91.30-2.33%
1834$93.482.38%
1835$95.652.33%
1836$101.095.68%
1837$104.353.23%
1838$101.09-3.12%
1839$101.090.00%
1840$94.57-6.45%
1841$94.570.00%
1842$89.13-5.75%
1843$80.43-9.76%
1844$81.521.35%
1845$82.611.33%
1846$83.701.32%
1847$89.136.49%
1848$85.87-3.66%
1849$83.70-2.53%
1850$84.781.30%
1851$83.70-1.28%
1852$83.700.00%
1853$83.700.00%
1854$91.309.09%
1855$94.573.57%
1856$92.39-2.30%
1857$94.572.35%
1858$89.13-5.75%
1859$90.221.22%
1860$90.220.00%
1861$95.656.02%
1862$109.7814.77%
1863$136.9624.75%
1864$170.6524.60%
1865$177.173.82%
1866$172.83-2.45%
1867$160.87-6.92%
1868$154.35-4.05%
1869$147.83-4.23%
1870$142.39-3.68%
1871$132.61-6.87%
1872$132.610.00%
1873$130.43-1.64%
1874$123.91-5.00%
1875$119.57-3.51%
1876$116.30-2.73%
1877$114.13-1.87%
1878$108.70-4.76%
1879$108.700.00%
1880$110.872.00%
1881$110.870.00%
1882$110.870.00%
1883$109.78-0.98%
1884$106.52-2.97%
1885$105.43-1.02%
1886$102.17-3.09%
1887$103.261.06%
1888$103.260.00%
1889$100.00-3.16%
1890$98.91-1.09%
1891$98.910.00%
1892$98.910.00%
1893$97.83-1.10%
1894$93.48-4.44%
1895$91.30-2.33%
1896$91.300.00%
1897$90.22-1.19%
1898$90.220.00%
1899$90.220.00%
1900$91.301.20%
1901$92.391.19%
1902$93.481.18%
1903$95.652.33%
1904$96.741.14%
1905$95.65-1.12%
1906$97.832.27%
1907$102.174.44%
1908$100.00-2.13%
1909$98.91-1.09%
1910$103.264.40%
1911$103.260.00%
1912$105.432.11%
1913$107.612.06%
1914$108.701.01%
1915$109.781.00%
1916$118.487.92%
1917$139.1317.43%
1918$164.1317.97%
1919$188.0414.57%
1920$217.3915.61%
1921$194.57-10.50%
1922$182.61-6.15%
1923$185.871.79%
1924$185.870.00%
1925$190.222.34%
1926$192.391.14%
1927$189.13-1.69%
1928$185.87-1.72%
1929$185.870.00%
1930$181.52-2.34%
1931$165.22-8.98%
1932$148.91-9.87%
1933$141.30-5.11%
1934$145.653.08%
1935$148.912.24%
1936$151.091.46%
1937$156.523.60%
1938$153.26-2.08%
1939$151.09-1.42%
1940$152.170.72%
1941$159.785.00%
1942$177.1710.88%
1943$188.046.13%
1944$191.301.73%
1945$195.652.27%
1946$211.968.33%
1947$242.3914.36%
1948$261.968.07%
1949$258.70-1.24%
1950$261.961.26%
1951$282.617.88%
1952$288.041.92%
1953$290.220.75%
1954$292.390.75%
1955$291.30-0.37%
1956$295.651.49%
1957$305.433.31%
1958$314.132.85%
1959$316.300.69%
1960$321.741.72%
1961$325.001.01%
1962$328.261.00%
1963$332.611.32%
1964$336.961.31%
1965$342.391.61%
1966$352.172.86%
1967$363.043.09%
1968$378.264.19%
1969$398.915.46%
1970$421.745.72%
1971$440.224.38%
1972$454.353.21%
1973$482.616.22%
1974$535.8711.04%
1975$584.789.13%
1976$618.485.76%
1977$658.706.50%
1978$708.707.59%
1979$789.1311.35%
1980$895.6513.50%
1981$988.0410.32%
1982$1,048.916.16%
1983$1,082.613.21%
1984$1,129.354.32%
1985$1,169.573.56%
1986$1,191.301.86%
1987$1,234.783.65%
1988$1,285.874.14%
1989$1,347.834.82%
1990$1,420.655.40%
1991$1,480.434.21%
1992$1,525.003.01%
1993$1,570.652.99%
1994$1,610.872.56%
1995$1,656.522.83%
1996$1,705.432.95%
1997$1,744.572.29%
1998$1,771.741.56%
1999$1,810.872.21%
2000$1,871.743.36%
2001$1,925.002.85%
2002$1,955.431.58%
2003$2,000.002.28%
2004$2,053.262.66%
2005$2,122.833.39%
2006$2,191.303.23%
2007$2,253.722.85%
2008$2,340.253.84%
2009$2,331.92-0.36%
2010$2,370.171.64%
2011$2,444.993.16%
2012$2,495.592.07%
2013$2,532.141.46%
2014$2,573.221.62%
2015$2,576.270.12%
2016$2,608.771.26%
2017$2,664.352.13%
2018$2,730.762.49%
2019$2,778.891.76%
2020$2,813.171.23%
2021$2,945.334.70%
2022$3,181.048.00%
2023$3,226.051.42%*
* Compared to previous annual rate. Not final. See inflation summary for latest 12-month trailing value.
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This conversion table shows various other 1830 amounts in 1950 dollars, based on the 161.96% change in prices:

Conversion: 1830 dollars in 1950
Initial valueEquivalent value
$1 dollar in 1830$2.62 dollars in 1950
$5 dollars in 1830$13.10 dollars in 1950
$10 dollars in 1830$26.20 dollars in 1950
$50 dollars in 1830$130.98 dollars in 1950
$100 dollars in 1830$261.96 dollars in 1950
$500 dollars in 1830$1,309.78 dollars in 1950
$1,000 dollars in 1830$2,619.57 dollars in 1950
$5,000 dollars in 1830$13,097.83 dollars in 1950
$10,000 dollars in 1830$26,195.65 dollars in 1950
$50,000 dollars in 1830$130,978.26 dollars in 1950
$100,000 dollars in 1830$261,956.52 dollars in 1950
$500,000 dollars in 1830$1,309,782.61 dollars in 1950
$1,000,000 dollars in 1830$2,619,565.22 dollars in 1950

Inflation by Country

Inflation can also vary widely by country. For comparison, in the UK £100.00 in 1830 would be equivalent to £333.33 in 1950, an absolute change of £233.33 and a cumulative change of 233.33%.

Compare these numbers to the US's overall absolute change of $161.96 and total percent change of 161.96%.


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 1830 and 1950.

Compare these values to the overall average of 0.81% per year:

CategoryAvg Inflation (%)Total Inflation (%)$100 in 1830 → 1950
Food and beverages0.000.00100.00
Housing0.000.00100.00
Apparel2.722,417.262,517.26
Transportation3.174,141.754,241.75
Medical care2.662,225.692,325.69
Recreation0.000.00100.00
Education and communication0.000.00100.00
Other goods and services0.000.00100.00

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 1830. This table and charts use the earliest available data for each category.



How to calculate inflation rate for $100, 1830 to 1950

Our calculations use the following inflation rate formula to calculate the change in value between 1830 and 1950:

CPI in 1950 CPI in 1830
×
1830 USD value
=
1950 USD value

Then plug in historical CPI values. The U.S. CPI was 9.2 in the year 1830 and 24.1 in 1950:

24.19.2
×
$100
=
$261.96

$100 in 1830 has the same "purchasing power" or "buying power" as $261.96 in 1950.

To get the total inflation rate for the 120 years between 1830 and 1950, we use the following formula:

CPI in 1950 - CPI in 1830CPI in 1830
×
100
=
Cumulative inflation rate (120 years)

Plugging in the values to this equation, we get:

24.1 - 9.29.2
×
100
=
162%

Data source & citation

Raw data for these calculations comes from the Bureau of Labor Statistics' (CPI), established in 1913. Inflation data from 1634 to 1912 is sourced from a historical study conducted by political science professor Robert Sahr at Oregon State University and from the American Antiquarian Society.

You may use the following MLA citation for this page: “$100 in 1830 → 1950 | Inflation Calculator.” Official Inflation Data, Alioth Finance, 28 Jan. 2023, https://www.officialdata.org/1830-dollars-in-1950?amount=100.

Special thanks to QuickChart for their chart image API, which is used for chart downloads.


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.

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» Read more about inflation and investment.

Inflation from 1830 to 1950
Cumulative price change161.96%
Average inflation rate0.81%
Converted amount ($100 base)$261.96
Price difference ($100 base)$161.96
CPI in 18309.200
CPI in 195024.100
Inflation in 1830-1.08%
Inflation in 19501.26%
$100 in 1830$261.96 in 1950