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Benchmark Model with Intensity Based Jumps

This paper proposes a class of financial market models with security price processes that exhibit intensity based jumps. Primary security account prices, when expressed in units of the benchmark, turn out to be local martingales. The benchmark model exludes, so called, benchmark arbitrage but permits arbitrage amounts, which arise for benchmarked price processes that are strict local martingales. In the proposed framework, generally, an equivalent risk neutral measure does not exist. Benchmarked fair derivative prices are obtained as conditional expectations of future benchmarked prices under the real world probability measure.

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Paper provided by Quantitative Finance Research Centre, University of Technology, Sydney in its series Research Paper Series with number 81.

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Length: 25 pages
Date of creation: 01 Jun 2002
Publication status: Published as: Platen, E., 2004, "A Class of Complete Benchmark Models with Intensity-Based Jumps", Journal of Applied Probability, 41(1), 19-34.
Handle: RePEc:uts:rpaper:81
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