Accrue

Accrue-v
1-(vi) to come into somebody's possession, often over a period of time
2-(vi) to increase in amount or value
3-(vt) to gather together an amount, especially over a period of time
4-(vi) to become legally enforceable (refers to claims or rights)

Synonyms
accumulate
ensue
grow
mount up
build up
amass
increase
add
be credited with
go to
dwindle (antonym)