Mathematics for Economists

(Greg DeLong) #1

Optimal stopping


Example


Selling stock with recalling prices.

One should solve the problem

Hn$( 1 +r)Tnmaxknξk

XT = HT=maxnTξn=( 1 +r)TTmaxnTξn,
Xn = max(Hn,E(Xn+ 1 j Fn))=

= max




( 1 +r)Tnmaxknξk,E(Xn+ 1 j Fn)




.

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