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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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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

References

31 Dec 2013 RDP 2013-01
Tom Cusbert and Thomas Rohling
RBA (Reserve Bank of Australia) (2000), ‘The Impact of Y2K on Financial Markets in Australia’, RBA.
https://www.rba.gov.au/publications/rdp/2013/2013-01/references.html

Modelling Currency Demand in Australia

31 Dec 2013 RDP 2013-01
Tom Cusbert and Thomas Rohling
The coefficient on the dummy variable for Y2K in the December quarter 1999 is insignificant because the effect is muted by averaging across the quarter.
https://www.rba.gov.au/publications/rdp/2013/2013-01/modelling-currency-demand-australia.html