20141209 - Referential USD based on CPI-U (2013e)

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# Referential USD

Referential US dollars (rUSD, r\$) is the real value of the US dollar (USD, \$) back in 2010, which is used here as referential currency for better understanding the value of money overtime. The referential dollar 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, 20133, also Rate Inflation, 20132). The CPI-U is a useful index for comparing the cost of consumer goods and services (Williamson, 20115), and represents well the consumer patterns of about 80% of the U.S. population (excluding rural consumers, the military and institutional populations - Wikipedia, 20114). It is calculated by updating the nominal value of the dollar with the appropriate multiplier. The formula for transforming USD into rUSD follows, while Table 1 provides the correct multiplier (an inflator/deflator multiplier) for the formula.

Formula
rUSD = nominal USD + (nominal USD * multiplier)

Table 1. CPI-U for USA and rUSD 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 229.6 218.1 -0.0503
2013 233.0 218.1 -0.0640
2014* 239.9 218.1 -0.0912
2015* 247.1 218.1 -0.1177
2016* 254.6 218.1 -0.1434
2017* 262.2 218.1 -0.1684
2018* 270.1 218.1 -0.1926
2019* 278.2 218.1 -0.2161
2020* 286.5 218.1 -0.2389
2021* 295.1 218.1 -0.2611
(*Assuming a 3% accumulated inflation rate.)
References
1. PEREZGONZALEZ Jose D (2012). Referential USD based on CPI-U (2012e). Knowledge (ISSN 2324-1624), 2013, pages 81-84, doi:10.6084/m9.figshare.706985
2. RATE INFLATION (2013). American Consumer Price Index (CPI) History. Retrieved from Rate Inflation on 12 December 2014.
3. U.S. BUREAU OF LABOR STATISTICS (2013). Consumer price index. Retrieved from U.S. Department of Labor on 12 December 2014.
4. WIKIPEDIA (2011). United States consumer price index. Retrieved from Wikipedia on 21 July 2011.
5. 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 +++
6. The 2013 edition updates the 2012 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.
WikiofScience - Referential currency (list of topics)