[PEREZGONZALEZ Jose D (2011). Referential USD based on CPI-U (2011e)5. Journal of Knowledge Advancement & Integration (ISSN 1177-4576), 2012, pages 117-120.] [Printer friendly]
Referential USD
The following table provides the inflator/deflator multiplier for calculating referential US dollars (rUSD, r$). It is based on the average value of the United States consumer price index for all urban consumers - US CPI-U Average (United States Bureau of Labor Statistics, 20112). The CPI-U is a useful index for comparing the cost of consumer goods and services (Williamson, 20114), and represents well the consumer patterns of about 80% of the U.S. population (excluding rural consumers, the military and institutional populations - Wikipedia, 20113).
The formula for calculating rUSD based on CPI-U is the following:
| rUSD = nominal USD + (nominal USD * multiplier) |
| Year | CPI-U Avg | Base 2010 | multiplier | |
|---|---|---|---|---|
| 1913 | 9.9 | 218.1 | 21.0259 | |
| 1914 | 10.0 | 218.1 | 20.8056 | |
| 1915 | 10.1 | 218.1 | 20.5897 | |
| 1916 | 10.9 | 218.1 | 19.0051 | |
| 1917 | 12.8 | 218.1 | 16.0356 | |
| 1918 | 15.1 | 218.1 | 13.4408 | |
| 1919 | 17.3 | 218.1 | 11.6044 | |
| 1920 | 20.0 | 218.1 | 9.9028 | |
| 1921 | 17.9 | 218.1 | 11.1819 | |
| 1922 | 16.8 | 218.1 | 11.9795 | |
| 1923 | 17.1 | 218.1 | 11.7518 | |
| 1924 | 17.1 | 218.1 | 11.7518 | |
| 1925 | 17.5 | 218.1 | 11.4603 | |
| 1926 | 17.7 | 218.1 | 11.3195 | |
| 1927 | 17.4 | 218.1 | 11.5320 | |
| 1928 | 17.1 | 218.1 | 11.7518 | |
| 1929 | 17.1 | 218.1 | 11.7518 | |
| 1930 | 16.7 | 218.1 | 12.0572 | |
| 1931 | 15.2 | 218.1 | 13.3458 | |
| 1932 | 13.7 | 218.1 | 14.9165 | |
| 1933 | 13.0 | 218.1 | 15.7735 | |
| 1934 | 13.4 | 218.1 | 15.2728 | |
| 1935 | 13.7 | 218.1 | 14.9165 | |
| 1936 | 13.9 | 218.1 | 14.6875 | |
| 1937 | 14.4 | 218.1 | 14.1428 | |
| 1938 | 14.1 | 218.1 | 14.4650 | |
| 1939 | 13.9 | 218.1 | 14.6875 | |
| 1940 | 14.0 | 218.1 | 14.5754 | |
| 1941 | 14.7 | 218.1 | 13.8337 | |
| 1942 | 16.3 | 218.1 | 12.3777 | |
| 1943 | 17.3 | 218.1 | 11.6044 | |
| 1944 | 17.6 | 218.1 | 11.3895 | |
| 1945 | 18.0 | 218.1 | 11.1142 | |
| 1946 | 19.5 | 218.1 | 10.1824 | |
| 1947 | 22.3 | 218.1 | 8.7783 | |
| 1948 | 24.1 | 218.1 | 8.0480 | |
| 1949 | 23.8 | 218.1 | 8.1620 | |
| 1950 | 24.1 | 218.1 | 8.0480 | |
| 1951 | 26.0 | 218.1 | 7.3868 | |
| 1952 | 26.5 | 218.1 | 7.2285 | |
| 1953 | 26.7 | 218.1 | 7.1669 | |
| 1954 | 26.9 | 218.1 | 7.1062 | |
| 1955 | 26.8 | 218.1 | 7.1364 | |
| 1956 | 27.2 | 218.1 | 7.0168 | |
| 1957 | 28.1 | 218.1 | 6.7600 | |
| 1958 | 28.9 | 218.1 | 6.5452 | |
| 1959 | 29.1 | 218.1 | 6.4933 | |
| 1960 | 29.6 | 218.1 | 6.3668 | |
| 1961 | 29.9 | 218.1 | 6.2928 | |
| 1962 | 30.2 | 218.1 | 6.2204 | |
| 1963 | 30.6 | 218.1 | 6.1260 | |
| 1964 | 31.0 | 218.1 | 6.0341 | |
| 1965 | 31.5 | 218.1 | 5.9224 | |
| 1966 | 32.4 | 218.1 | 5.7301 | |
| 1967 | 33.4 | 218.1 | 5.5286 | |
| 1968 | 34.8 | 218.1 | 5.2660 | |
| 1969 | 36.7 | 218.1 | 4.9416 | |
| 1970 | 38.8 | 218.1 | 4.6200 | |
| 1971 | 40.5 | 218.1 | 4.3841 | |
| 1972 | 41.8 | 218.1 | 4.2167 | |
| 1973 | 44.4 | 218.1 | 3.9112 | |
| 1974 | 49.3 | 218.1 | 3.4230 | |
| 1975 | 53.8 | 218.1 | 3.0531 | |
| 1976 | 56.9 | 218.1 | 2.8323 | |
| 1977 | 60.6 | 218.1 | 2.5983 | |
| 1978 | 65.2 | 218.1 | 2.3444 | |
| 1979 | 72.6 | 218.1 | 2.0035 | |
| 1980 | 82.4 | 218.1 | 1.6463 | |
| 1981 | 90.9 | 218.1 | 1.3989 | |
| 1982 | 96.5 | 218.1 | 1.2596 | |
| 1983 | 99.6 | 218.1 | 1.1893 | |
| 1984 | 103.9 | 218.1 | 1.0987 | |
| 1985 | 107.6 | 218.1 | 1.0265 | |
| 1986 | 109.6 | 218.1 | 0.9896 | |
| 1987 | 113.6 | 218.1 | 0.9195 | |
| 1988 | 118.3 | 218.1 | 0.8432 | |
| 1989 | 124.0 | 218.1 | 0.7585 | |
| 1990 | 130.7 | 218.1 | 0.6684 | |
| 1991 | 136.2 | 218.1 | 0.6010 | |
| 1992 | 140.3 | 218.1 | 0.5542 | |
| 1993 | 144.5 | 218.1 | 0.5090 | |
| 1994 | 148.2 | 218.1 | 0.4714 | |
| 1995 | 152.4 | 218.1 | 0.4308 | |
| 1996 | 156.9 | 218.1 | 0.3898 | |
| 1997 | 160.5 | 218.1 | 0.3586 | |
| 1998 | 163.0 | 218.1 | 0.3378 | |
| 1999 | 166.6 | 218.1 | 0.3089 | |
| 2000 | 172.2 | 218.1 | 0.2663 | |
| 2001 | 177.1 | 218.1 | 0.2313 | |
| 2002 | 179.9 | 218.1 | 0.2121 | |
| 2003 | 184.0 | 218.1 | 0.1851 | |
| 2004 | 188.9 | 218.1 | 0.1543 | |
| 2005 | 195.3 | 218.1 | 0.1165 | |
| 2006 | 201.6 | 218.1 | 0.0816 | |
| 2007 | 207.3 | 218.1 | 0.0519 | |
| 2008 | 215.3 | 218.1 | 0.0128 | |
| 2009 | 214.5 | 218.1 | 0.0164 | |
| 2010 | 218.1 | 218.1 | 0.0000 | |
| 2011 | 224.9 | 218.1 | -0.0306 | |
| 2012* | 231.7 | 218.1 | -0.0588 | |
| 2013* | 238.6 | 218.1 | -0.0862 | |
| 2014* | 245.8 | 218.1 | -0.1129 | |
| 2015* | 253.2 | 218.1 | -0.1387 | |
| 2016* | 260.8 | 218.1 | -0.1638 | |
| 2017* | 268.6 | 218.1 | -0.1881 | |
| 2018* | 276.6 | 218.1 | -0.2118 | |
| 2019* | 284.9 | 218.1 | -0.2347 | |
| 2020* | 293.5 | 218.1 | -0.2570 | |
| 2021* | 302.3 | 218.1 | -0.2787 | |
| (*It assumes a 3% inflation rate for each year after 2011. These multipliers should be substituted with their real inflation values as soon as they are known.) | ||||
Author
Jose D PEREZGONZALEZ (2012). Massey University, Turitea Campus, Private Bag 11-222, Palmerston North 4442, New Zealand. (JDPerezgonzalez).
Want to know more?
- MeasuringWorth
- A handy website to learn about different inflation indexes and calculate the value of money according to those indexes.
- Wiki of Science - Referential currency (list of topics)
- This page offers links to available topics related to referential currencies.
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