Accrue (verb)

To accumulate over time; to increase gradually.

Origin:

From old french acroistre, from latin accrescere to increase.

Examples:

1. The interest on the savings account will accrue over time.
2. The company's profits have been steadily accruing over the years.
3. The benefits of the program will accrue to the community over time.
4. The value of the property has been accruing over the years.
5. The employee's vacation days will accrue over the year.