# Value of 1957 US Dollars today

\$100 in 1957

\$932.54 in 2020

The inflation rate in the United States between 1957 and today has been 832.54%, which translates into a total increase of \$832.54. This means that 100 dollars in 1957 are equivalent to 932.54 dollars in 2020. In other words, the purchasing power of \$100 in 1957 equals \$932.54 today. The average annual inflation rate has been 3.55%.

## Inflation timeline in the United States (1957-2020)

The following chart depicts the equivalence of \$100 throughout the years due to 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 obtained by estimating figures from recent trends.

The following table contains relevant indicators:

Indicator Value
Total Inflation (1957-2020) 831.07%
Total Inflation* 832.54%
Annual inflation avg. (1957-2020) 3.6%
Annual inflation avg.* 3.55%
CPI 1957 11.64
CPI 2020 108.42
CPI today* 108.59
\$1 in 1957 \$9.31 in 2020

* Values extrapolated from the last official data to obtain today's values.

## 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 compound interest formula or the Consumer Price Index (CPI) formula.

#### Using the compound interest formula

Given that money changes with time as a result of an inflation rate that acts as a compound interest, the following formula can be used: 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 63 years between 1957 and 2020 and the average inflation rate has been 3.5502%. Therefore, we can resolve the formula like this:

FV = PV (1 + i)n = \$100 * (1 + 0.04)63 = \$931.07

#### Using the CPI formula

When the CPI for both start and end years is known, the following formula can be used:

Final value = Initial value *
CPI final/CPI initial

In this case, the CPI in 1957 was 11.64 and the CPI today is 108.59. Therefore,

Final value = Initial value *
CPI final/CPI initial
= \$100 *
108.42/11.64
= \$931.07

### USA inflation - Conversion table

Initial Value Equivalent value
\$1 dollar in 1957 \$9.33 dollars today
\$5 dollars in 1957 \$46.63 dollars today
\$10 dollars in 1957 \$93.25 dollars today
\$50 dollars in 1957 \$466.27 dollars today
\$100 dollars in 1957 \$932.54 dollars today
\$500 dollars in 1957 \$4,662.72 dollars today
\$1,000 dollars in 1957 \$9,325.43 dollars today
\$5,000 dollars in 1957 \$46,627.17 dollars today
\$10,000 dollars in 1957 \$93,254.33 dollars today
\$50,000 dollars in 1957 \$466,271.66 dollars today
\$100,000 dollars in 1957 \$932,543.32 dollars today
\$500,000 dollars in 1957 \$4,662,716.62 dollars today
\$1,000,000 dollars in 1957 \$9,325,433.23 dollars today

Period Value
1957 100
1958 102.9
1959 104.71
1960 106.52
1961 107.97
1962 108.7
1963 110.14
1964 111.96
1965 113.04
1966 115.22
1967 119.2
1968 122.83
1969 128.62
1970 136.59
1971 144.2
1972 148.91
1973 153.99
1974 167.39
1975 188.04
1976 201.09
1977 210.87
1978 225
1979 245.29
1980 277.9
1981 312.68
1982 340.58
1983 353.62
1984 367.03
1985 381.52
1986 396.01
1987 400.36
1988 418.12
1989 436.59
1990 456.88
1991 484.78
1992 499.64
1993 514.13
1994 528.26
1995 542.39
1996 556.16
1997 574.64
1998 584.42
1999 593.84
2000 609.78
2001 630.43
2002 640.22
2003 655.44
2004 667.75
2005 689.49
2006 713.04
2007 731.16
2008 761
2009 761.7
2010 782.42
2011 794.13
2012 817.65
2013 831.89
2014 844.38
2015 850.77
2016 856.97
2017 874.75
2018 893.2
2019 910.26
2020 931.07
Today 932.54