# Value of 1963 US Dollars today

\$100 in 1963

\$846.76 in 2020

The inflation rate in the United States between 1963 and today has been 746.76%, which translates into a total increase of \$746.76. This means that 100 dollars in 1963 are equivalent to 846.76 dollars in 2020. In other words, the purchasing power of \$100 in 1963 equals \$846.76 today. The average annual inflation rate has been 3.75%.

## Inflation timeline in the United States (1963-2020)

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 (1963-2020) 745.31%
Total Inflation* 746.76%
Annual inflation avg. (1963-2020) 3.82%
Annual inflation avg.* 3.75%
CPI 1963 12.83
CPI 2020 108.42
CPI today* 108.61
\$1 in 1963 \$8.45 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 57 years between 1963 and 2020 and the average inflation rate has been 3.7519%. Therefore, we can resolve the formula like this:

FV = PV (1 + i)n = \$100 * (1 + 0.04)57 = \$845.31

#### 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 1963 was 12.83 and the CPI today is 108.61. Therefore,

Final value = Initial value *
CPI final/CPI initial
= \$100 *
108.42/12.83
= \$845.31

### USA inflation - Conversion table

Initial Value Equivalent value
\$1 dollar in 1963 \$8.47 dollars today
\$5 dollars in 1963 \$42.34 dollars today
\$10 dollars in 1963 \$84.68 dollars today
\$50 dollars in 1963 \$423.38 dollars today
\$100 dollars in 1963 \$846.76 dollars today
\$500 dollars in 1963 \$4,233.79 dollars today
\$1,000 dollars in 1963 \$8,467.58 dollars today
\$5,000 dollars in 1963 \$42,337.92 dollars today
\$10,000 dollars in 1963 \$84,675.85 dollars today
\$50,000 dollars in 1963 \$423,379.23 dollars today
\$100,000 dollars in 1963 \$846,758.45 dollars today
\$500,000 dollars in 1963 \$4,233,792.25 dollars today
\$1,000,000 dollars in 1963 \$8,467,584.51 dollars today

Period Value
1963 100
1964 101.64
1965 102.63
1966 104.61
1967 108.22
1968 111.51
1969 116.78
1970 124.01
1971 130.92
1972 135.2
1973 139.8
1974 151.97
1975 170.72
1976 182.57
1977 191.45
1978 204.28
1979 222.7
1980 252.3
1981 283.88
1982 309.21
1983 321.05
1984 333.22
1985 346.38
1986 359.54
1987 363.49
1988 379.61
1989 396.38
1990 414.8
1991 440.13
1992 453.62
1993 466.78
1994 479.61
1995 492.43
1996 504.93
1997 521.71
1998 530.59
1999 539.14
2000 553.62
2001 572.37
2002 581.25
2003 595.07
2004 606.25
2005 625.99
2006 647.37
2007 663.82
2008 690.91
2009 691.54
2010 710.36
2011 720.98
2012 742.34
2013 755.27
2014 766.61
2015 772.41
2016 778.04
2017 794.18
2018 810.93
2019 826.42
2020 845.31
Today 846.76