VALUE[T]›to understand how good something or someone is and be able to enjoy them: There's no point buying him expensive wines - he doesn't appreciate them.
GRATEFUL[T]›to feel grateful for something: I'd really appreciate your help.
UNDERSTAND[T]›to understand something about a situation, especially that it is complicated or difficult: [+ (that)]I appreciate that it is a difficult decision for you to make.
INCREASE[I]formal›to increase in value: Houses and antiques generally appreciate with time.