20141202 - Referential CAD based on CPI (2013e)

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Referential Canadian dollar (rCAD, r\$) is the real value of the Canadian dollar (CAD, \$) 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 annual CPI (Consumer Price Index) for Canada (Statistics Canada, 20132). It is calculated by updating the nominal value of the dollar with the appropriate multiplier. The formula for transforming CAD into rCAD follows, while Table 1 provides the correct multiplier (an inflator/deflator multiplier) for the formula.

Formula

Year CPI A.Avg Base 2010 multiplier
1918 8.9 116.5 12.0899
1919 9.8 116.5 10.8878
1920 11.4 116.5 9.2193
1921 10.0 116.5 10.6500
1922 9.2 116.5 11.6630
1923 9.2 116.5 11.6630
1924 9.0 116.5 11.9444
1925 9.1 116.5 11.8022
1926 9.2 116.5 11.6630
1927 9.1 116.5 11.8022
1928 9.1 116.5 11.8022
1929 9.2 116.5 11.6630
1930 9.1 116.5 11.8022
1931 8.2 116.5 13.2073
1932 7.5 116.5 14.5333
1933 7.1 116.5 15.4085
1934 7.2 116.5 15.1806
1935 7.3 116.5 14.9589
1936 7.4 116.5 14.7432
1937 7.7 116.5 14.1299
1938 7.7 116.5 14.1299
1939 7.7 116.5 14.1299
1940 8.0 116.5 13.5625
1941 8.5 116.5 12.7059
1942 8.8 116.5 12.2386
1943 9.0 116.5 11.9444
1944 9.1 116.5 11.8022
1945 9.2 116.5 11.6630
1946 9.4 116.5 11.3936
1947 10.3 116.5 10.3107
1948 11.8 116.5 8.8729
1949 12.2 116.5 8.5492
1950 12.5 116.5 8.3200
1951 13.8 116.5 7.4420
1952 14.2 116.5 7.2042
1953 14.0 116.5 7.3214
1954 14.1 116.5 7.2624
1955 14.1 116.5 7.2624
1956 14.3 116.5 7.1469
1957 14.8 116.5 6.8716
1958 15.2 116.5 6.6645
1959 15.3 116.5 6.6144
1960 15.5 116.5 6.5161
1961 15.7 116.5 6.4204
1962 15.9 116.5 6.3270
1963 16.1 116.5 6.2360
1964 16.4 116.5 6.1037
1965 16.8 116.5 5.9345
1966 17.5 116.5 5.6571
1967 18.1 116.5 5.4365
1968 18.8 116.5 5.1968
1969 19.7 116.5 4.9137
1970 20.3 116.5 4.7389
1971 20.9 116.5 4.5742
1972 21.9 116.5 4.3196
1973 23.6 116.5 3.9364
1974 26.2 116.5 3.4466
1975 29.0 116.5 3.0172
1976 31.1 116.5 2.7460
1977 33.6 116.5 2.4673
1978 36.6 116.5 2.1831
1979 40.0 116.5 1.9125
1980 44.0 116.5 1.6477
1981 49.5 116.5 1.3535
1982 54.9 116.5 1.1220
1983 58.1 116.5 1.0052
1984 60.6 116.5 0.9224
1985 63.0 116.5 0.8492
1986 65.6 116.5 0.7759
1987 68.5 116.5 0.7007
1988 71.2 116.5 0.6362
1989 74.8 116.5 0.5575
1990 78.4 116.5 0.4860
1991 82.8 116.5 0.4070
1992 84.0 116.5 0.3869
1993 85.6 116.5 0.3610
1994 85.7 116.5 0.3594
1995 87.6 116.5 0.3299
1996 88.9 116.5 0.3105
1997 90.4 116.5 0.2887
1998 91.3 116.5 0.2760
1999 92.9 116.5 0.2540
2000 95.4 116.5 0.2212
2001 97.8 116.5 0.1912
2002 100.0 116.5 0.1650
2003 102.8 116.5 0.1333
2004 104.7 116.5 0.1127
2005 107.0 116.5 0.0888
2006 109.1 116.5 0.0678
2007 111.5 116.5 0.0448
2008 114.1 116.5 0.0210
2009 114.4 116.5 0.0184
2010 116.5 116.5 0.0000
2011 119.9 116.5 -0.0284
2012 121.7 116.5 -0.0427
2013 122.8 116.5 -0.0513
2014* 126.5 116.5 -0.0789
2015* 130.3 116.5 -0.1058
2016* 134.2 116.5 -0.1318
2017* 138.2 116.5 -0.1571
2018* 142.4 116.5 -0.1816
2019* 146.6 116.5 -0.2055
2020* 151.0 116.5 -0.2286
2021* 155.6 116.5 -0.2511
(*Assuming a 3% accumulated inflation rate.)
References
1. PEREZGONZALEZ Jose D (2012). Referential CAD based on CPI (2012e). Knowledge (ISSN 2324-1624), 2013, pages 106-109, doi:10.6084/m9.figshare.726422
+++ Footnotes +++
3. The 2013 edition updates the 2012 edition1 with the official CPI values for that year.

# Want to know more?

Handy online calculator for estimating the value of the Canadian dollar over time. The calculator includes the inflation for 2010; thus, using it as your base year, you can estimate historical referential Canadian dollars (rCAD, r\$) with easy. The calculator seems to select a particular month for comparison, rather than the annual average, so it may result in small differences in the final output.
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)
This WikiofScience page provides a list of topics related to referential currencies.

## Author

Jose D PEREZGONZALEZ (2014). Massey University, Turitea Campus, Private Bag 11-222, Palmerston North 4442, New Zealand. ().

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page revision: 3, last edited: 17 Dec 2014 02:19