de·fray

[dih-frey]
verb (used with object)
to bear or pay all or part of (the costs, expenses, etc.): The grant helped defray the expenses of the trip.

Origin:
1535–45; < Middle French défrayer, Old French deffroier to pay costs, equivalent to de- dis-1 + frayer to bear the costs, derivative of frais, fres (plural) costs, probably < Latin frācta things broken (see fracture), hence, expense incurred from breakage

de·fray·a·ble, adjective
de·fray·er, noun
pre·de·fray, verb (used with object)
un·de·frayed, adjective
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2013.
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Defray is a GRE word you need to know.
So is defalcate. Does it mean:
TO MISUSE FUNDS, TO EMBEZZLE
Changing or hiding the truth
Collins
World English Dictionary
defray (dɪˈfreɪ) [Click for IPA pronunciation guide]
 
vb
(tr) to furnish or provide money for (costs, expenses, etc); pay
 
[C16: from Old French deffroier to pay expenses, from de-dis-1 + frai expenditure, originally: cost incurred through breaking something, from Latin frangere to break]
 
de'frayable
 
adj
 
de'frayal
 
n
 
de'frayment
 
n
 
de'frayer
 
n

Collins English Dictionary - Complete & Unabridged 10th Edition
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Etymonline
Word Origin & History

defray
1540s, from M.Fr. defraier, from des- "out" + fraier "spend," from O.Fr. frais "costs, damages caused by breakage," from L. fractum, neuter pp. of frangere "to break" (see fraction). Alternative etymology traces second element to O.H.G. fridu "peace."
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
The ten that are chosen will be given a small amount of money to help defray
  travel costs to the meeting site.
Advertising revenues defray the cost of printing the calendar.
Money raised goes to help defray the costs of legal fees for scientists who are
  the subjects of the above-mentioned witch hunts.
Grantees are encouraged to earn income to defray program costs.
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