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A solvent company is one that would appear to be able to meet its liabilities/debts when they are due.
Usually to mean a company that has a positive shareholders' equity. For example,
Share Capital S$100,000
Accumulated losses (S$90,000)
Total S$10,000 - Solvent
Share Capital S$100,000
Retained earnings S$10
Total S$100,010 - Solvent
Share Capital S$100,000
Accumulated losses (S$190,000)
Total (S$90,000) - Insolvent
Or
Total Assets MINUS Total Liabilities = POSITIVE – Solvent
Total Assets MINUS Total Liabilities = NEGATIVE – Insolvent