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Abstract

Recently Kifer (2000) introduced the concept of an Israeli (or Game) option. That is a general American-type option with the added possibility that the writer may terminate the contract early inducing a payment exceeding the holderrsquos claim had they exercised at that moment. Kifer shows that pricing and hedging of these options reduces to evaluating a saddle point problem associated with Dynkin games. In this short text we give two examples of perpetual Israeli options where the solutions are explicit.

Keywords:  Stochastic games - option pricing - fluctuation theory - American options - Russian options - Israeli options

Received: December 2002,
Mathematics Subject Classification:   90A09, 60J40, 90D15
JEL Classification:   G13, C73
I would like to express thanks to Chris Rogers for a valuable conversation.

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