e consider an economy with one deterministic asset
given by the
SDE
and one stochastic asset
evolving according
to
The
and
are some real numbers. The
is the numeraire.
Indeed, 
and the
term cancels
out
The next task is to perform the change of numeraire to
 .
We
compute   
where
Hence, under the numeraire
the set of defining SDEs has the following
form 
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