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Margrabe's option to exchange in a paretian-stable subordinated market

Published: 01 November 2001 Publication History

Abstract

This paper derives the formula for a European option to exchange one asset for another provided that the underlying asset price is logstable. Using the subordination principle of Feller [1] first applied by Hurst, Platen and Rachev [2] to option pricing, we can extend former results of Margrabe [3] to a richer class of stochastic processes which are able to better capture empirical asset return distributions. The obtained option price can be used as a building block in the context of real option valuation.

References

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Cited By

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  • (2015)Practical computing for finite moment log-stable distributions to model financial riskStatistics and Computing10.1007/s11222-014-9478-925:6(1233-1246)Online publication date: 1-Nov-2015
  1. Margrabe's option to exchange in a paretian-stable subordinated market

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      Published In

      cover image Mathematical and Computer Modelling: An International Journal
      Mathematical and Computer Modelling: An International Journal  Volume 34, Issue 9-11
      November, 2001
      298 pages

      Publisher

      Elsevier Science Publishers B. V.

      Netherlands

      Publication History

      Published: 01 November 2001

      Author Tags

      1. α-stable distribution
      2. Finance
      3. Non-Gaussian processes
      4. Option pricing
      5. Real options
      6. Subordination

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      • (2015)Practical computing for finite moment log-stable distributions to model financial riskStatistics and Computing10.1007/s11222-014-9478-925:6(1233-1246)Online publication date: 1-Nov-2015

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