Tid: 11 maj 1998 kl 1515-1700
Plats : Seminarierummet 3733, Institutionen för matematik, KTH, Lindstedts väg 25, plan 7. Karta!
Föredragshållare: Paavo Salminen, Institute of Mathematics, Åbo Akademi. (Publikationslista)
Titel: On Russian options
Sammanfattning: The Russian option, as introduced by L.A. Shepp and A.N. Shiryayev in Ann. Applied Probab. Vol. 3, 1993, is a perpertual put option of American type with the payment functional
where S is the stock price process (taken to be a geometrical Brownian
motion)
and the parameter 
can be interpreted
via continuously paid dividends. In this talk a new derivation for the value
of the
Russian option is presented. It is also seen that our approach applies to
analyse
the option where the payment is 
In particular, it is seen that the
value
of this option may be infinite, depending on the parameters of the model.
The associated
optimal stopping problems are solved with the techniques exploiting the
represention
theory of excessive functions.