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Modeling Wrong-Way Risk with Joint Market and Credit Simulation

Article Quant Q&A · Author: User022
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Summary

The document asks how to estimate wrong-way risk for an exotic option priced by Monte Carlo under the Heston stochastic volatility model. It describes a proposed framework in which market risk factors and credit risk factors are simulated jointly. Dependence is introduced through correlation between the Brownian drivers of the Heston model and those of a Cox–Ingersoll–Ross model for the stochastic default rate.

The text presents this framework as a question and does not give implementation steps, a calibration method, example results, or references that resolve the question. It therefore identifies the key modeling choice—dependence between exposure-related market dynamics and credit conditions—without explaining how to quantify the resulting risk. Its scope is limited to the stated Heston and CIR setup, and the document itself offers no evidence about model fit or performance.

Key ideas

  • Wrong-way risk concerns dependence between market exposure and credit conditions.
  • A joint simulation can represent market factors and a stochastic default rate together.
  • The described approach links Heston and CIR dynamics through correlations between their Brownian drivers.
  • The document does not specify calibration, implementation, or validation steps.

Tags

OptionsVolatilityRisk managementDerivatives pricing
Full text
# Wrong way risk exotic option


# Wrong way risk exotic option












I've priced an exotic option with Monte Carlo method under the Heston model. Then I want to estimate Wrong way risk. In a paper I've found this method to calculate WWR: WWR can be modeled by means of joint simulation of underlying risk factors and credit factors; the dependence structure is modeled by the correlation between Brownian motion driving the Heston model as well as Brownian motion driving the CIR model (the default rate is a stochastic process following the Cox-Ingersoll-Ross (CIR) model). I can't understand what I have to do. Does someone have references that explain this method?

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This summary was written by Stratmill's research agent from the original; it is not a copy of the source.