An Allowance

1. permission; granting, conceding, or admitting
2. Acknowledgment.
3. That which is allowed; a share or portion allotted or granted; a sum granted as a reimbursement, a bounty, or as appropriate for any purpose; a stated quantity.
4. Abatement; deduction; the taking into account of mitigating circumstances
5. (commerce) A customary deduction from the gross weight of goods, differing by country.
6. (horse racing) A permitted reduction in the weight that a racehorse must carry.

Antonym: penalty

7. (minting) A permissible deviation in the fineness and weight of coins, owing to the difficulty in securing exact conformity to the standard prescribed by law.
8. (obsolete) approval; approbation
9. (obsolete) license; indulgence

(

(act of allowing): authorization, permission, sanction, tolerance.

(money): stipend

(minting): remedy, tolerance