20120415 - Referential USD based on CPI-U (2011e)
| [Technology] | (Note: A newer edition of this article exists) [<Normal page] [PEREZGONZALEZ Jose D (2011). Referential USD based on CPI-U (2011e)5. Journal of Knowledge Advancement & Integration (ISSN 1177-4576), 2012, pages 117-120.] |
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.) | ||||
References
1. PEREZGONZALEZ Jose D (2010). Referential USD based on CPI-U (2010e). Journal of Knowledge Advancement & Integration (ISSN 1177-4576), 2011, pages 61-64.
2. U.S. BUREAU OF LABOR STATISTICS (2011). Consumer price index. Retrieved from U.S. Department of Labor on 13 April 2012.
3. WIKIPEDIA (2011). United States consumer price index. Retrieved from Wikipedia on 21 July 2011.
4. WILLIAMSON Samuel H (2011). Seven ways to compute the relative value of a U.S. dollar amount, 1774 to present. Retrieved from MeasuringWorth on 21 July 2011.
+++ Footnotes +++
5. The 2011 edition updates the 2010 edition1 with the official CPI-U values for that year.
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.
Author
Jose D PEREZGONZALEZ (2012). Massey University, Turitea Campus, Private Bag 11-222, Palmerston North 4442, New Zealand. (JDPerezgonzalez).
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page revision: 7, last edited: 22 Apr 2013 04:48
