accrue
US /əˈkruː/
UK /əˈkruː/

1.
to accumulate or receive (payments or benefits) over time
:
•
Interest will accrue on the account daily.
•
Benefits accrue from the new policy.
2.
(of a benefit or sum of money) be received by someone in regular or increasing amounts over time
:
•
The dividends accrued to the shareholders.
•
The interest accrued to her benefit.