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RBA Glossary definition for Y2K

Y2K – Year 2000. The Year 2000 problem was the possibility that financial institutions' computer systems would fail on 1 January 2000 and spark a loss of public confidence in individual institutions or at worst, in the financial system as a whole. In the event, the arrival of Y2K was virtually incident-free.

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The Life of Australian Banknotes

28 Aug 2015 RDP PDF 1252KB
Two examples include Y2K and the GFC where the public’s demand for banknotes increased substantially. ... On the other hand, Y2K did not have a statistically significant impact on the life span of $20 or $50 banknotes.
https://www.rba.gov.au/publications/rdp/2015/pdf/rdp2015-10.pdf

Survival Modelling

1 Dec 2015 RDP 2015-10
Alexandra Rush
0.30. 0.27. 0.22. Recoloured $5. 0.04. Federation $5. 0.34. Y2K. 0.02. ... On the other hand, Y2K did not have a statistically significant impact on the life span of $20 or $50 banknotes.
https://www.rba.gov.au/publications/rdp/2015/2015-10/survival-modelling.html
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Currency Demand Data

31 Dec 2013 RDP 2013-01
Tom Cusbert and Thomas Rohling
The first occasion was in preparation for the year-date change at the end of the millennium (that is, ‘Y2K’). ... To some extent this experience echoes the build-up of cash in banks on the eve of Y2K, where banks built up a buffer of currency.
https://www.rba.gov.au/publications/rdp/2013/2013-01/currency-demand-data.html
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Currency Demand during the Global Financial Crisis: Evidence from Australia

2 Feb 2015 RDP PDF 633KB
11. The first occasion was in preparation for the year-date change at the end of the millennium (that is, ‘Y2K’). ... 8 To some extent this experience echoes the build-up of cash in banks on the eve of Y2K, where banks built up a buffer of currency.
https://www.rba.gov.au/publications/rdp/2013/pdf/rdp2013-01.pdf