20141202 - Referential CAD based on CPI (2013e)
| [Technology] | [<Normal page] [PEREZGONZALEZ Jose D (2013). Referential CAD based on CPI (2013e)3. Knowledge (ISSN 2324-1624), 2014, pages 4-7.] [DOI] |
Referential CAD
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 |
|---|
| rCAD = nominal CAD + (nominal CAD * multiplier) |
| Table 1. CPI for Canada and rCAD multiplier | ||||
|---|---|---|---|---|
| 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
2. STATISTICS CANADA (2013). Consumer Price Index, historical summary. Retrieved from Statistics Canada on 10 December 2014.
+++ Footnotes +++
3. The 2013 edition updates the 2012 edition1 with the official CPI values for that year.
Want to know more?
- Canadian dollar inflation calculator
- 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. (JDPerezgonzalez).
| Other interesting sites |
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page revision: 3, last edited: 17 Dec 2014 02:19
