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Some calculations for Israeli options
Authors:Andreas?E.?Kyprianou  author-information"  >  author-information__contact u-icon-before"  >  mailto:kyprianou@math.uu.nl"   title="  kyprianou@math.uu.nl"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Department of Mathematics, University of Utrecht, P.O.Box 80.010, 3500TA Utrecht, The Netherlands
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.Received: December 2002, Mathematics Subject Classification: 90A09, 60J40, 90D15JEL Classification: G13, C73I would like to express thanks to Chris Rogers for a valuable conversation.
Keywords:Stochastic games  option pricing  fluctuation theory  American options  Russian options  Israeli options
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