Appreciation (noun)

1. Grateful recognition of the full worth of something.
2. An increase in the value of an asset.

Origin:

From the latin word "appretiare" meaning "to value".

Examples:

1. He expressed his appreciation for her help.
2. She showed her appreciation with a gift.
3. The company showed their appreciation with a bonus.
4. He has a deep appreciation for art.
5. She has a great appreciation for music.