ad- ‘to’ + pretium ‘price’

APPRECIATE, VALUE, PRIZE, TREASURE, CHERISH mean to hold in high estimation.

APPRECIATE often connotes sufficient understanding to enjoy or admire a thing's excellence.

e.g. appreciates fine wine

VALUE implies rating a thing highly for its intrinsic worth.

e.g. values our friendship

PRIZE implies taking a deep pride in something one possesses.

e.g. Americans prize their freedom

TREASURE emphasizes jealously safeguarding something considered precious.

e.g. a treasured memento

CHERISH implies a special love and care for something.

e.g. cherishes her children above all

source: [境界の彼方の新堂彩華がルーペを覗いて妖夢石の鑑定を行うGIF画像｜無料GIF画像検索 GIFMAGAZINE 1229416]

1. recognize the full worth of:

〈人が〉〈人･物･事〉のよさ, すばらしさを認める; …を評価する

e.g. she feels that he does not appreciate her.

be grateful for (something):

〈事･物〉に感謝する, …をありがたく思う; ; 〖appreciate A('s) doing〗 A〈人〉が…することをありがたく思う (!thankと違って人を目的語にしない)

e.g. I'd appreciate any information you could give me.

2. understand (a situation) fully; recognize the full implications of:

〈人が〉〈状況･問題など〉を正しく理解, 認識する

e.g. they failed to appreciate the pressure he was under

〖appreciate that節/wh節〗 …であること, …かを正しく理解する

e.g. with clause : I appreciate that you cannot be held totally responsible.

3. no object rise in value or price:

〈株･土地などが〉価値を上げる(↔ depreciate)

e.g. they expected the house to appreciate in value.

appreciator | -ˌātər | noun

mid 16th century: from late Latin appretiat- ‘set at a price, appraised’, from the verb appretiare, from ad- ‘to’ + pretium ‘price’.