Optimal multiple stopping problem and financial applications
In their paper , Carmona and Touzi have studied an optimal multiple stopping time problem in a market where the price process is continuous. In this paper, we generalize their results when the price process is allowed to jump. Also, we generalize the problem associated to the valuation of swing options to the context of jump diffusion processes. Then we relate our problem to a sequence of ordinary stopping time problems. We characterize the value function of each ordinary stopping time problem as the unique viscosity solution of the associated Hamilton-Jacobi-Bellman Variational Inequality.
|Date of creation:||19 Nov 2011|
|Date of revision:|
|Publication status:||Published in [Research Report] RR-7807, INRIA. 2011, pp.30|
|Note:||View the original document on HAL open archive server: https://hal.inria.fr/hal-00642919|
|Contact details of provider:|| Web page: https://hal.archives-ouvertes.fr/|
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- René Carmona & Nizar Touzi, 2008. "Optimal Multiple Stopping And Valuation Of Swing Options," Mathematical Finance, Wiley Blackwell, vol. 18(2), pages 239-268.
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