ネイティブが教える英会話のジェムスクール☆Teachers☆

Well here we have a super useful word. Indemnity is compensation for damages or suffer age. This would be mostly useful if you had a car accident or some kind of injury where you weren't the cause of the hurt.

This word's root word of indemnitās is the noun damnum “financial loss, deprivation of possessions or property, a sum to be paid in restitution.” Damnum comes from an unrecorded dapnom, a noun derivative of the extended root dap-, from the Proto-Indo-European root dā– “to apportion in exchange.”

All of that to say an example sentence could be:

"I promise you indemnity for your loss, and an apology for all you suffered..."

So keep this in mind if an unfortunate situation emerges, it could help you explain the circumstances