Note: This article is being updated. For the officially published article, go to: PEREZGONZALEZ Jose D (2013). Referential NZD based on CPI (2013e)3. Knowledge (ISSN 2324-1624), 2014, pages 15-19.] [DOI] [Printer friendly] |
Referential NZD
The Referential New Zealand dollar (rNZD, r$) is the real value of the New Zealand dollar (NZD, $) back in 2010, which is used here as referential currency for better understanding the value of money overtime. The referential dollar is based on the average annual CPI for all groups (estimated from quarter inflation index values provided by the Reserve Bank of New Zealand2). It is calculated by updating the nominal value of the dollar with the appropriate multiplier. The formulas for transforming NZD into rNZD (and vice versa) follow, while Table 1 provides the correct multipliers (an inflator/deflator multiplier) for each formula.
Formulas | |
---|---|
rNZD = nominal NZD * value multiplier | = value of money throughout time, with base 2010 (= 1111.0/CPI) |
currency equivalence = nominal NZD * currency multiplier | = equivalent currency throughout time, with base 2010 (= CPI/1111.0) |
Table 1. CPI for New Zealand and rNZD multiplier | |||||
---|---|---|---|---|---|
Year | CPI A.Avg | Base 2010 | value multiplier (r$) | currency multiplier ($) | |
1900 | 13.3 | 1111.0 | 83.8491 | 0.0119 | |
1901 | 13.7 | 1111.0 | 81.3919 | 0.0123 | |
1902 | 14.0 | 1111.0 | 79.2157 | 0.0126 | |
1903 | 14.1 | 1111.0 | 78.7943 | 0.0127 | |
1904 | 14.0 | 1111.0 | 79.2157 | 0.0126 | |
1905 | 14.4 | 1111.0 | 77.0191 | 0.0130 | |
1906 | 14.9 | 1111.0 | 74.4389 | 0.0134 | |
1907 | 14.9 | 1111.0 | 74.4389 | 0.0134 | |
1908 | 14.9 | 1111.0 | 74.5638 | 0.0134 | |
1909 | 14.7 | 1111.0 | 75.4499 | 0.0133 | |
1910 | 14.8 | 1111.0 | 75.0676 | 0.0133 | |
1911 | 14.8 | 1111.0 | 75.3220 | 0.0133 | |
1912 | 15.0 | 1111.0 | 74.0667 | 0.0135 | |
1913 | 15.4 | 1111.0 | 72.1429 | 0.0139 | |
1914 | 15.9 | 1111.0 | 69.7645 | 0.0143 | |
1915 | 17.0 | 1111.0 | 65.5457 | 0.0153 | |
1916 | 18.3 | 1111.0 | 60.8767 | 0.0164 | |
1917 | 20.0 | 1111.0 | 55.5500 | 0.0180 | |
1918 | 22.4 | 1111.0 | 49.5982 | 0.0202 | |
1919 | 24.8 | 1111.0 | 44.8436 | 0.0223 | |
1920 | 28.1 | 1111.0 | 39.5022 | 0.0253 | |
1921 | 28.3 | 1111.0 | 39.2233 | 0.0255 | |
1922 | 25.4 | 1111.0 | 43.8264 | 0.0228 | |
1923 | 25.0 | 1111.0 | 44.4845 | 0.0225 | |
1924 | 25.4 | 1111.0 | 43.7833 | 0.0228 | |
1925 | 25.5 | 1111.0 | 43.5260 | 0.0230 | |
1926 | 25.7 | 1111.0 | 43.2296 | 0.0231 | |
1927 | 25.5 | 1111.0 | 43.6114 | 0.0229 | |
1928 | 25.6 | 1111.0 | 43.4834 | 0.0230 | |
1929 | 25.5 | 1111.0 | 43.6542 | 0.0229 | |
1930 | 24.9 | 1111.0 | 44.5737 | 0.0224 | |
1931 | 23.0 | 1111.0 | 48.3043 | 0.0207 | |
1932 | 21.2 | 1111.0 | 52.4057 | 0.0191 | |
1933 | 20.2 | 1111.0 | 54.9320 | 0.0182 | |
1934 | 20.5 | 1111.0 | 54.1291 | 0.0185 | |
1935 | 21.3 | 1111.0 | 52.1596 | 0.0192 | |
1936 | 21.9 | 1111.0 | 50.7886 | 0.0197 | |
1937 | 23.4 | 1111.0 | 47.4786 | 0.0211 | |
1938 | 24.1 | 1111.0 | 46.0996 | 0.0217 | |
1939 | 25.2 | 1111.0 | 44.0436 | 0.0227 | |
1940 | 26.3 | 1111.0 | 42.2835 | 0.0236 | |
1941 | 27.2 | 1111.0 | 40.8081 | 0.0245 | |
1942 | 28.1 | 1111.0 | 39.5022 | 0.0253 | |
1943 | 28.8 | 1111.0 | 38.5429 | 0.0259 | |
1944 | 29.3 | 1111.0 | 37.8858 | 0.0264 | |
1945 | 29.7 | 1111.0 | 37.4074 | 0.0267 | |
1946 | 30.0 | 1111.0 | 37.0952 | 0.0270 | |
1947 | 30.9 | 1111.0 | 35.9256 | 0.0278 | |
1948 | 33.3 | 1111.0 | 33.3383 | 0.0300 | |
1949 | 33.9 | 1111.0 | 32.7729 | 0.0305 | |
1950 | 35.8 | 1111.0 | 31.0119 | 0.0322 | |
1951 | 39.8 | 1111.0 | 27.9146 | 0.0358 | |
1952 | 42.9 | 1111.0 | 25.9125 | 0.0386 | |
1953 | 44.8 | 1111.0 | 24.8130 | 0.0403 | |
1954 | 46.9 | 1111.0 | 23.7140 | 0.0422 | |
1955 | 48.1 | 1111.0 | 23.1217 | 0.0432 | |
1956 | 49.7 | 1111.0 | 22.3429 | 0.0448 | |
1957 | 50.8 | 1111.0 | 21.8808 | 0.0457 | |
1958 | 53.1 | 1111.0 | 20.9425 | 0.0477 | |
1959 | 55.1 | 1111.0 | 20.1633 | 0.0496 | |
1960 | 55.5 | 1111.0 | 20.0361 | 0.0499 | |
1961 | 56.5 | 1111.0 | 19.6724 | 0.0508 | |
1962 | 58.0 | 1111.0 | 19.1717 | 0.0522 | |
1963 | 59.1 | 1111.0 | 18.7907 | 0.0532 | |
1964 | 61.2 | 1111.0 | 18.1610 | 0.0551 | |
1965 | 63.3 | 1111.0 | 17.5583 | 0.0570 | |
1966 | 65.0 | 1111.0 | 17.0989 | 0.0585 | |
1967 | 69.0 | 1111.0 | 16.1131 | 0.0621 | |
1968 | 71.9 | 1111.0 | 15.4466 | 0.0647 | |
1969 | 75.5 | 1111.0 | 14.7201 | 0.0679 | |
1970 | 80.4 | 1111.0 | 13.8227 | 0.0723 | |
1971 | 88.7 | 1111.0 | 12.5289 | 0.0798 | |
1972 | 94.9 | 1111.0 | 11.7101 | 0.0854 | |
1973 | 102.6 | 1111.0 | 10.8285 | 0.0923 | |
1974 | 114.0 | 1111.0 | 9.7456 | 0.1026 | |
1975 | 130.8 | 1111.0 | 8.4971 | 0.1177 | |
1976 | 152.9 | 1111.0 | 7.2686 | 0.1376 | |
1977 | 174.9 | 1111.0 | 6.3540 | 0.1574 | |
1978 | 195.8 | 1111.0 | 5.6756 | 0.1762 | |
1979 | 222.6 | 1111.0 | 4.9916 | 0.2003 | |
1980 | 260.7 | 1111.0 | 4.2612 | 0.2347 | |
1981 | 300.8 | 1111.0 | 3.6935 | 0.2707 | |
1982 | 349.4 | 1111.0 | 3.1800 | 0.3145 | |
1983 | 375.1 | 1111.0 | 2.9623 | 0.3376 | |
1984 | 398.2 | 1111.0 | 2.7899 | 0.3584 | |
1985 | 459.6 | 1111.0 | 2.4173 | 0.4137 | |
1986 | 520.3 | 1111.0 | 2.1352 | 0.4683 | |
1987 | 602.2 | 1111.0 | 1.8448 | 0.5421 | |
1988 | 640.6 | 1111.0 | 1.7342 | 0.5766 | |
1989 | 677.3 | 1111.0 | 1.6405 | 0.6096 | |
1990 | 718.6 | 1111.0 | 1.5461 | 0.6468 | |
1991 | 737.3 | 1111.0 | 1.5070 | 0.6636 | |
1992 | 744.7 | 1111.0 | 1.4918 | 0.6703 | |
1993 | 754.3 | 1111.0 | 1.4728 | 0.6790 | |
1994 | 767.5 | 1111.0 | 1.4476 | 0.6908 | |
1995 | 796.3 | 1111.0 | 1.3952 | 0.7167 | |
1996 | 814.5 | 1111.0 | 1.3640 | 0.7331 | |
1997 | 824.2 | 1111.0 | 1.3480 | 0.7418 | |
1998 | 834.6 | 1111.0 | 1.3312 | 0.7512 | |
1999 | 833.7 | 1111.0 | 1.3327 | 0.7504 | |
2000 | 855.5 | 1111.0 | 1.2987 | 0.7700 | |
2001 | 877.9 | 1111.0 | 1.2655 | 0.7902 | |
2002 | 901.4 | 1111.0 | 1.2325 | 0.8114 | |
2003 | 917.2 | 1111.0 | 1.2113 | 0.8256 | |
2004 | 938.2 | 1111.0 | 1.1842 | 0.8445 | |
2005 | 966.7 | 1111.0 | 1.1492 | 0.8701 | |
2006 | 999.3 | 1111.0 | 1.1118 | 0.8994 | |
2007 | 1023.0 | 1111.0 | 1.0860 | 0.9208 | |
2008 | 1063.5 | 1111.0 | 1.0447 | 0.9572 | |
2009 | 1086.0 | 1111.0 | 1.0230 | 0.9775 | |
2010 | 1111.0 | 1111.0 | 1.0000 | 1.0000 | |
2011 | 1155.8 | 1111.0 | 0.9612 | 1.0403 | |
2012 | 1168.0 | 1111.0 | 0.9512 | 1.0513 | |
2013 | 1181.3 | 1111.0 | 0.9405 | 1.0633 | |
2014 | 1195.8 | 1111.0 | 0.9291 | 1.0763 | |
2015 | 1199.3 | 1111.0 | 0.9264 | 1.0794 | |
2016* | 1235.2 | 1111.0 | 0.8994 | 1.1118 | |
2017* | 1272.3 | 1111.0 | 0.8732 | 1.1452 | |
2018* | 1310.5 | 1111.0 | 0.8478 | 1.1795 | |
2019* | 1349.8 | 1111.0 | 0.8231 | 1.2149 | |
2020* | 1390.3 | 1111.0 | 0.7991 | 1.2514 | |
2021* | 1432.0 | 1111.0 | 0.7759 | 1.2889 | |
(*Assuming a 3% accumulated inflation rate.) |
For example, a salary of $10,000 back in 1972 had the same purchasing power (ie, value) than a salary of $117,101 in 2010 (= $10,000 * 11.7101). And a salary of $40,000 in 2014 had the same purchasing power than salary of $37,164 in 2010. Thus, a person earning $10,000 in 1972 was actually better off than a person earning $40,000 in 2014.
On the other hand, the currency equivalence of a purchasing power of r$40,000 in 2010 was $3,416 in 1972 (= r$40,000 * 0.0854). That is, whatever was worth $40,000 in 2010 could have been bought with $3,416 back in 1972.
Outdated versions
PEREZGONZALEZ Jose D (2010). Referential NZD based on CPI. Journal of Knowledge Advancement & Integration (ISSN 1177-4576), 2011, pages 113-117.
PEREZGONZALEZ Jose D (2011). Referential NZD based on CPI (2011e). Journal of Knowledge Advancement & Integration (ISSN 1177-4576), 2012, pages 123-127.
PEREZGONZALEZ Jose D (2012). Referential NZD based on CPI (2012e). Knowledge (ISSN 2324-1624), 2013, pages 69-73, doi:10.6084/m9.figshare.706828
PEREZGONZALEZ Jose D (2015). Referential NZD based on CPI (2013e). Knowledge (ISSN 2324-1624), 2014, pages 15-19, [http://dx.doi.org/10.6084/m9.figshare.1274028]
Author
Jose D PEREZGONZALEZ (2016). Massey University, Turitea Campus, Private Bag 11-222, Palmerston North 4442, New Zealand. (JDPerezgonzalez).
Want to know more?
- MeasuringWorth
- A handy website to learn about different inflation indexes and calculate the value of money according to those indexes.
- New Zealand inflation calculator
- A handy calculator for estimating the cost of money over time. It allows for calculating inflation per quarter. If you use 2010 as base year, you could interpret the result as referential New Zealand dollars (rNZD, r$).
- WikiofScience - Referential currency (list of topics)
- This Wiki of Science page provides a list of topics related to referential currencies.
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