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A Monte Carlo approach to value exchange options using a single stochastic factor

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  • Giovanni Villani

Abstract

Exchange options give the holder the right to exchange one risky asset V for another risky asset D. The asset V is referred to as the optioned (underlying) asset, while D is the delivery asset. So, when an exchange option is valued, we generally are exposed to two sources of uncertainity, namely we have two stochastic variables. Exchange options arise quite naturally in a number of signicant nancial arrangements including bond futures contracts, investment performance, options whose strike price is an average of the experienced underlying asset price during the life ot the option and so on. In this paper we propose some algorithms to estimate exchange options by Monte Carlo simulation reducing the bi-dimensionality of valuation problem to single stochastic factor.

Suggested Citation

  • Giovanni Villani, 2007. "A Monte Carlo approach to value exchange options using a single stochastic factor," Quaderni DSEMS 08-2007, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.
    • Handle: RePEc:ufg:qdsems:08-2007
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    Keywords

    Exchange Options; Monte Carlo Simulations.;

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

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