Owe (verb)

1. Be under a moral or legal obligation to give something to someone in return for something received.
2. Be in debt to someone.
3. Be obliged to someone because of a benefit received.
4. Be responsible for something.

Origin:

Middle english from old english āgan meaning to possess.

Examples:

1. I owe you an apology for what I said.
2. He owes the bank a lot of money.
3. We owe her a debt of gratitude for all she has done for us.
4. She owes him a favor for helping her with the project.
5. The company owes its success to the hard work of its employees.