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RBA Glossary definition for solvency

solvency – The capacity of an entity to meet its financial obligations as they fall due. Solvency may be expressed as maintaining positive net-tangible assets.

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Measuring Credit Losses

31 Dec 2015 RDP 2015-06
David Rodgers
Such losses are one component of a bank's overall profitability, so they affect capital and, in extreme cases, solvency. ... But these assets only affect bank profitability and solvency through credit losses, and the relationship between these measures
https://www.rba.gov.au/publications/rdp/2015/2015-06/mea-cre-losses.html

Descriptive Analysis

31 Dec 2015 RDP 2015-06
David Rodgers
There were short-lived deposit outflows at some small banks, but these were quickly ended by Reserve Bank assurances about their solvency.
https://www.rba.gov.au/publications/rdp/2015/2015-06/des-analysis.html