Value of $100 from 1875 to 1971
$100 in 1875 is equivalent in purchasing power to about $368.18 in 1971, an increase of $268.18 over 96 years. The dollar had an average inflation rate of 1.37% per year between 1875 and 1971, producing a cumulative price increase of 268.18%.
This means that prices in 1971 are 3.68 times as high as average prices since 1875, according to the Bureau of Labor Statistics consumer price index.
The inflation rate in 1875 was -3.51%. The inflation rate in 1971 was 4.38%. The 1971 inflation rate is higher compared to the average inflation rate of 3.93% per year between 1971 and 2025.
Contents
⌃
| Cumulative price change | 268.18% |
| Average inflation rate | 1.37% |
| Converted amount $100 base | $368.18 |
| Price difference $100 base | $268.18 |
| CPI in 1875 | 11.000 |
| CPI in 1971 | 40.500 |
| Inflation in 1875 | -3.51% |
| Inflation in 1971 | 4.38% |
| $100 in 1875 | $368.18 in 1971 |
Buying power of $100 in 1875
This chart shows a calculation of buying power equivalence for $100 in 1875 (price index tracking began in 1635).
For example, if you started with $100, you would need to end with $368.18 in order to "adjust" for inflation (sometimes refered to as "beating inflation").
When $100 is equivalent to $368.18 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 1875 dollars, the chart below shows how $100 is worth less over 96 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:
This conversion table shows various other 1875 amounts in 1971 dollars, based on the 268.18% change in prices:
| Initial value | Equivalent value |
|---|---|
| $1 dollar in 1875 | $3.68 dollars in 1971 |
| $5 dollars in 1875 | $18.41 dollars in 1971 |
| $10 dollars in 1875 | $36.82 dollars in 1971 |
| $50 dollars in 1875 | $184.09 dollars in 1971 |
| $100 dollars in 1875 | $368.18 dollars in 1971 |
| $500 dollars in 1875 | $1,840.91 dollars in 1971 |
| $1,000 dollars in 1875 | $3,681.82 dollars in 1971 |
| $5,000 dollars in 1875 | $18,409.09 dollars in 1971 |
| $10,000 dollars in 1875 | $36,818.18 dollars in 1971 |
| $50,000 dollars in 1875 | $184,090.91 dollars in 1971 |
| $100,000 dollars in 1875 | $368,181.82 dollars in 1971 |
| $500,000 dollars in 1875 | $1,840,909.09 dollars in 1971 |
| $1,000,000 dollars in 1875 | $3,681,818.18 dollars in 1971 |
Inflation by Country
Inflation can also vary widely by country. For comparison, in the UK £100.00 in 1875 would be equivalent to £816.33 in 1971, an absolute change of £716.33 and a cumulative change of 716.33%.
Compare these numbers to the US's overall absolute change of $268.18 and total percent change of 268.18%.
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 1875 and 1971.
Compare these values to the overall average of 1.37% per year:
| Category | Avg Inflation (%) | Total Inflation (%) | $100 in 1875 → 1971 |
|---|---|---|---|
| Food and beverages | 4.28 | 5,487.38 | 5,587.38 |
| Housing | 5.39 | 15,408.72 | 15,508.72 |
| Apparel | 2.46 | 933.45 | 1,033.45 |
| Transportation | 2.88 | 1,426.49 | 1,526.49 |
| Medical care | 3.58 | 2,818.98 | 2,918.98 |
| Recreation | 0.00 | 0.00 | 100.00 |
| Education and communication | 0.00 | 0.00 | 100.00 |
| Other goods and services | 5.17 | 12,535.15 | 12,635.15 |
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 1875. This table and charts use the earliest available data for each category.
How to calculate inflation rate for $100, 1875 to 1971
Our calculations use the following inflation rate formula to calculate the change in value between 1875 and 1971:
CPI in 1971 CPI in 1875
×
1875 USD value
=
1971 USD value
Then plug in historical CPI values. The U.S. CPI was 11 in the year 1875 and 40.5 in 1971:
40.511
×
$100
=
$368.18
$100 in 1875 has the same "purchasing power" or "buying power" as $368.18 in 1971.
To get the total inflation rate for the 96 years between 1875 and 1971, we use the following formula:
CPI in 1971 - CPI in 1875CPI in 1875
×
100
=
Cumulative inflation rate (96 years)
Plugging in the values to this equation, we get:
40.5 - 1111
×
100
=
268%
Comparison to S&P 500 Index
The average inflation rate of 1.37% has a compounding effect between 1875 and 1971. As noted above, this yearly inflation rate compounds to produce an overall price difference of 268.18% over 96 years.
To help put this inflation into perspective, if we had invested $100 in the S&P 500 index in 1875, our investment would be nominally worth approximately $278,716.55 in 1971. This is a return on investment of 278,616.55%, with an absolute return of $278,616.55 on top of the original $100.
These numbers are not inflation adjusted, so they are considered nominal. In order to evaluate the real return on our investment, we must calculate the return with inflation taken into account.
The compounding effect of inflation would account for 72.84% of returns ($203,015.76) during this period. This means the inflation-adjusted real return of our $100 investment is $75,600.79. You may also want to account for capital gains tax, which would take your real return down to around $64,261 for most people.
| Original Amount | Final Amount | Change | |
|---|---|---|---|
| Nominal | $100 | $278,716.55 | 278,616.55% |
| Real Inflation Adjusted | $100 | $75,700.79 | 75,600.79% |
Information displayed above may differ slightly from other S&P 500 calculators. Minor discrepancies can occur because we use the latest CPI data for inflation, annualized inflation numbers for previous years, and we compute S&P price and dividends from January of 1875 to latest available data for 1971 using average monthly close price.
For more details on the S&P 500 between 1875 and 1971, see the stock market returns calculator.
Data source & citation
Raw data for these calculations comes from the Bureau of Labor Statistics' Consumer Price Index (CPI), established in 1913. Price index data from 1774 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. Price index data from 1634 to 1773 is from the American Antiquarian Society, using British pound equivalents.
You may use the following MLA citation for this page: “$100 in 1875 → 1971 | Inflation Calculator.” Official Inflation Data, Alioth Finance, 6 Dec. 2025, https://www.officialdata.org/us/inflation/1875?amount=100&endYear=1971.
Special thanks to QuickChart for their chart image API, which is used for chart downloads.
| Cumulative price change | 268.18% |
| Average inflation rate | 1.37% |
| Converted amount $100 base | $368.18 |
| Price difference $100 base | $268.18 |
| CPI in 1875 | 11.000 |
| CPI in 1971 | 40.500 |
| Inflation in 1875 | -3.51% |
| Inflation in 1971 | 4.38% |
| $100 in 1875 | $368.18 in 1971 |