On an Alternative Approach to Pricing General Barrier Options
AbstractIn this paper, an alternative approach to pricing barrier options is presented that relies on the use of the first hitting time density to the barrier. The lateral Chapman-Kolmogorov relation is used as a major tool in order to determine option prices. It turns out that this approach allows for pricing barrier options with more general payoffs and with general continuous Markovian stochastic processes as underlying (at least numerically). As an illustrative example, a simple down-and-in call option is considered and its well-known closed form pricing formula is obtained.
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Bibliographic InfoPaper provided by University of Bonn, Germany in its series Bonn Econ Discussion Papers with number bgse27_2004.
Date of creation: Oct 2004
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Barrier options; first passage time density; first hitting time density; lateral Chapman-Kolmogorov relation;
Find related papers by JEL classification:
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
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- Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June.
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