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On the option valuation and decomposition of exchange option


In this paper, we shall find the uniquerational price associated with the exchange option. Also, we find the decomposition of Snell envelope and value function of the American exchange option.

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  1. 1.

    C. Dellacherie and P.A. Meyer,Probabilities and potential theory of martingales, North-Holland, Amsterdam(1982).

  2. 2.

    I.Karatzas,Lectures on the mathematics of finance, AMS(1996).

  3. 3.

    E. Karoui and I. Karatzas,A new approach to the Skorohod problem and its applications, Stochastics and Stochastic Repts 34, 57–82(1991).

  4. 4.

    S. Muller,Arbitrage pricing of contingent claims, Springer-Verlag, Berlin, Heidelberg, New York(1977).

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Correspondence to Won Choi.

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Choi, W., Ahn, S.C. On the option valuation and decomposition of exchange option. Korean J. Comput. & Appl. Math. 9, 575–581 (2002).

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AMS Mathematics Subject Classification

  • 60H30
  • 60H20
  • 90A09

Key words and phrases

  • Exchange option
  • value function
  • Snell envelope