Mathematics for Economists

(Greg DeLong) #1

Liquidity modelling


S = minfSjh(h+p)P(D>S) (^0) g=
= min





SjP(D>S) h
h+p




=


= min




Sj 1 P(DS) h
h+p




=


= min




SjP(DS)

p
h+p




=


= minfSjP(DS)αg.

Observe that one must cumulate until we Örst time hit the levelα.
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