Shall

(modal, auxiliary verb, defective) Used before a verb to indicate the simple future tense in the first person singular or plural.

"I hope that we shall win the game."

Used similarly to indicate determination or obligation in the second and third persons singular or plural.

"(determination): You shall go to the ball!"

Used in questions with the first person singular or plural to suggest a possible future action.

"Let us examine that, shall we?"

To owe.