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Time-dependent Double Obstacle Problem Arising from European Option Pricing with Transaction Costs

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In this paper, we investigate a time-dependent double obstacle problem associated with the model of European call option pricing with transaction costs. We prove the existence and uniqueness of a W2,1 p,loc solution to the problem. We then characterize the behavior of the free boundaries in terms of continuity and values of limit points.

Abstract

In this paper, we investigate a time-dependent double obstacle problem associated with the model of European call option pricing with transaction costs. We prove the existence and uniqueness of a W2,1 p,loc solution to the problem. We then characterize the behavior of the free boundaries in terms of continuity and values of limit points.

참고문헌 (13)

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  8. Organisation for Economic Co-Operation and Development, "OECD Economic Outlook, 81 edition", Organization for Economic Co-operation and Development, ~ (2007)
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  12. Z. Yang, "Valuation of European installment put option: variational inequal-ity approach", Commun. Contemp. Math, 11(2), pp.279~307 (2009)
  13. F. Yi, "A variational inequality arising from European option pricing with transaction costs", Sci. China Ser. A, 51(5), pp.935~954 (2008)

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