Etymology
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Words related to value

*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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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.
face-value (n.)
1842, from face (n.) + value (n.). Originally of stock shares, banknotes, etc.
vail (n.)
"advantage, profit," early 15c., from vail (v.) "to be of use or service" (c. 1300), from Old French vail, from valoir "to be of value or worth" (see value (n.)).
valuation (n.)

1520s, from French valuation, noun of action from valuer, from Old French valoir (see value (n.)).

valueless (adj.)
1590s, from value (n.) + -less. Related: Valuelessness.
values (n.)
"principles, standards," 1918, from plural of value (n.).
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.
overvalue (v.)

also over-value, "to value (something) above its true worth," 1590s, from over- + value (v.). Related: Overvalued; overvaluing.

revalue (v.)

"value anew, adjust the value of," 1590s, from re- "again, anew" + value (v.). Related: Revalued; revaluing.