'non-renounceable' originates from the prefix 'non-' meaning 'not' and the word 'renounceable', which comes from Latin 'renuntiabilis', where 're-' meant 'back' and 'nuntiare' meant 'to announce'.

'renuntiabilis' transformed into the Old French word 'renoncier', and eventually became the modern English word 'renounce' through Middle English.

Initially, it meant 'to announce back or withdraw', but over time it evolved into its current meaning of 'not able to be renounced'.