Etymology
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undervalue (v.)
1590s, "to rate as inferior in value" (to), from under + value (v.). Sense of "to estimate or esteem too low" is recorded from 1610s. Meaning "to rate at too low a monetary value" is attested from 1620s. Related: Undervalued; undervaluing.
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invaluable (adj.)
1570s, "above value, too valuable for exact estimate," from in- (1) "not" + value (v.) "estimate the worth of" + -able. It also has been used in a sense "without value, worthless" (1630s, from in- + valuable). Related: Invaluably.
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ad valorem 
type of customs duties based on the market value of goods at the original place of shipment, 1711, Modern Latin, "(in proportion) to the value," from ad "to" (see ad-) + Late Latin valorem, accusative of valor "value" (see value (n.)). Sometimes abbreviated ad val.
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*wal- 

Proto-Indo-European root meaning "to be strong."

It forms all or part of: ambivalence; Arnold; avail; bivalent; convalesce; countervail; Donald; equivalent; evaluation; Gerald; Harold; invalid (adj.1) "not strong, infirm;" invalid (adj.2) "of no legal force;" Isold; multivalent; polyvalent; prevalent; prevail; Reynold; Ronald; valediction; valence; Valerie; valetudinarian; valiance; valiant; valid; valor; value; Vladimir; Walter; wield.

It is the hypothetical source of/evidence for its existence is provided by: Latin valere "be strong, be well, be worth;" Old Church Slavonic vlasti "to rule over;" Lithuanian valdyti "to have power;" Celtic *walos- "ruler," Old Irish flaith "dominion," Welsh gallu "to be able;" Old English wealdan "to rule," Old High German -walt, -wald "power" (in personal names), Old Norse valdr "ruler."

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worth (n.)
Old English weorþ "value, price, price paid; worth, worthiness, merit; equivalent value amount, monetary value," from worth (adj.). From c. 1200 as "excellence, nobility."
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prize (v.1)

1580s, "to estimate the value of; value highly," spelling alteration of Middle English prisen "to reckon the worth of, value, esteem, praise" (late 14c.), from stem of Old French preisier "to praise" (see praise (v.)). Related: Prized; prizing.

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rate (v.2)

"estimate the worth or value of, reckon by comparative estimation," mid-15c., raten, from rate (n.). Intransitive sense of "have a certain value, rank, or standing" is from 1809; specifically as "have high value" by 1928. Related: Rated; rating.

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depreciation (n.)

1767, "a lowering of value" (originally of currency), noun of action from depreciate. Sense of "a belittling, deliberate underestimation of the merits of a person, action, or thing" is from 1790. Meaning "loss of value of a durable good by age or wear" is from 1900.

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appreciate (v.)

1650s, "to esteem or value highly," from Late Latin appretiatus, past participle of appretiare "to set a price to," from ad "to" (see ad-) + pretium "price" (see price (n.)). Meaning "to rise in value" (intransitive) is by 1787; sense of "be fully conscious of" is by 1833. "Appreciate is to set a just value on; it implies the use of wise judgment or delicate perception" [Century Dictionary]. Related: Appreciated; appreciating.

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valorization (n.)
1906, from valor "value" (late 15c.), variant of valour (see valor).
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