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A Model of Plausible, Severe and Useful Stress Scenarios for VIX Shocks

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  • Zi-Yi Guo

Abstract

The implied volatility is a key component in determining option prices, and consequently a model of VIX shocks in stress testing plays a crucial role in quantifying market risk of derivative portfolios. Based on hypothetical moves of SPX spot price, we first apply the ¡°sticky strike¡± rule to the existing SPX volatility surface and shock the implied volatility level by an additional relative amount, which would be determined by the analysis of historical VIX fluctuations. Then, we calculate the after-shock VIX index level according to the CBOE VIX White paper, and finally determine the daily VIX shocks. Our backtesting results show that the model could generate realistic VIX shocks in mimicking historical financial crises. A simple application of our model generates stress testing scenarios of VIX shocks comparable with the scenarios from a leading financial institution in the United States. Our model has practical implications for the Basel stress testing.

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  • Zi-Yi Guo, 2017. "A Model of Plausible, Severe and Useful Stress Scenarios for VIX Shocks," Applied Economics and Finance, Redfame publishing, vol. 4(3), pages 155-163, May.
    • Handle: RePEc:rfa:aefjnl:v:4:y:2017:i:3:p:155-163
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    References listed on IDEAS

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    1. Breuer, Thomas & Csiszár, Imre, 2013. "Systematic stress tests with entropic plausibility constraints," Journal of Banking & Finance, Elsevier, vol. 37(5), pages 1552-1559.
    2. Darne, O. & Levy-Rueff, O. & Pop, A., 2013. "Calibrating Initial Shocks in Bank Stress Test Scenarios: An Outlier Detection Based Approach," Working papers 426, Banque de France.
    3. De Genaro, Alan, 2016. "Systematic multi-period stress scenarios with an application to CCP risk management," Journal of Banking & Finance, Elsevier, vol. 67(C), pages 119-134.
    4. Pavel Kapinos & Oscar A. Mitnik, 2016. "A Top-down Approach to Stress-testing Banks," Journal of Financial Services Research, Springer;Western Finance Association, vol. 49(2), pages 229-264, June.
    5. Thomas Breuer & Martin Jandacka & Klaus Rheinberger & Martin Summer, 2009. "How to Find Plausible, Severe and Useful Stress Scenarios," International Journal of Central Banking, International Journal of Central Banking, vol. 5(3), pages 205-224, September.
    6. Azamat Abdymomunov & Sharon Blei & Bakhodir Ergashev, 2015. "Integrating Stress Scenarios into Risk Quantification Models," Journal of Financial Services Research, Springer;Western Finance Association, vol. 47(1), pages 57-79, February.
    7. 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 637-654, May-June.
    8. Breuer, Thomas & Jandačka, Martin & Mencía, Javier & Summer, Martin, 2012. "A systematic approach to multi-period stress testing of portfolio credit risk," Journal of Banking & Finance, Elsevier, vol. 36(2), pages 332-340.
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