The Collaborative International Dictionary of English v.0.48:

Reexchange \Re`ex*change"\ (r?`?ks*ch?nj"), v. t.
   To exchange anew; to reverse (a previous exchange).
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Reexchange \Re`ex*change"\ n.
   1. A renewed exchange; a reversal of an exchange.
      [1913 Webster]

   2. (Com.) The expense chargeable on a bill of exchange or
      draft which has been dishonored in a foreign country, and
      returned to the country in which it was made or indorsed,
      and then taken up. --Bouvier.
      [1913 Webster]

            The rate of reexchange is regulated with respect to
            the drawer, at the course of exchange between the
            place where the bill of exchange was payable, and
            the place where it was drawn. Reexchange can not be
            cumulated.                            --Walsh.
      [1913 Webster]

Bouvier's Law Dictionary, Revised 6th Ed (1856):

RE-EXCHANGE, contracts, commerce. The expense incurred by a bill's being
dishonored in a foreign country where it is made payable, and returned to
that country in which it was made or indorsed, and there taken up; the
amount of this depends upon the course of exchange between the two
countries, through which the bill has been negotiated. In other words,
reexchange is the difference between the draft and redraft.
     2. The drawer of a bill is liable for the whole amount of reexchange
occasioned by the circuitous mode of returning the bill through the various
countries in which it has been negotiated, as much as for that occasioned by
a direct return. Maxw. L. D. ii. t.; 5 Com. Dig. 150.
     3. In some states, legislative enactments have been made which regulate
damages on reexchange. These damages are different in the several states,
and this want of uniformity, if it does not create injustice, must be
admitted to be a serious evil. 2 Amer. Jur. 79. See Chit. on Bills. (ed. of
1836,) 666. See Damages on Bills of Exchange.