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.
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.