A Benchmark Approach of Counterparty Credit Exposure of Bermudan Option under Lévy Process: The Monte Carlo-COS Method


An advanced method, which we call Monte Carlo-COS method, is proposed for computing the counterparty credit exposure profile of Bermudan options under Lévy process. The different exposure profiles and exercise intensity under different measures , P and Q, are discussed. Since the COS method [1] delivers accurate Bermudan prices, and no change of measure [2] needed to get the P-probability distribution, the exposure profile produced by the Monte Carlo-COS algorithm can be used as a benchmark result, E.g., to analyse the reliability of the popular American Monte Carlo method [3, 4, 5]. The efficient calculation of expected exposure (EE) [6] can be further applied to the computation of credit value adjustment (CVA) [6].

DOI: 10.1016/j.procs.2013.05.282

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Showing 1-10 of 16 references

On the estimation of credit exposures using regression-based Monte Carlo somulation

  • R Schöftner
  • 2008
Highly Influential
3 Excerpts

Modeling, Pricing, and Hedging Counterparty Creidit Exposure: A Technical Guide

  • G Cesari, J Aquilina, N Charpillon, Z Filipovic, G Lee, I Manda
  • 2010
2 Excerpts

Potential future exposure calculations of multi-asset exotic products using the stochastic mesh method

  • L Ng, D Peterson, A E Rodriquez
  • 2010
1 Excerpt

A guide to modeling counterparty credit risk

  • M Pykhtin, S Zhu
  • 2007
1 Excerpt

Measuring counterparty credit risk for trading products under basel ii The Basel II Handbook 2nd edn, Risk Books

  • M Pykhtin, S Zhu
  • 2006
2 Excerpts

Stochastic Calculus for Finance II: Continuous-Time Models

  • S E Shreve
  • 2004
1 Excerpt