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What's Beneath the Surface? Option Pricing with Multifrequency Latent States

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  • Calvet , Laurent E.
  • Fearnley, Marcus
  • Adlai J. , Fisher
  • Markus, Leippold

Abstract

We introduce a tractable class of non-affine price processes with multifrequency stochastic volatility and jumps. The specifi cations require few fixed parameters and deliver fast option pricing. One key ingredient is a tight link between jumps and volatility regimes, as asset pricing theory suggests. Empirically, the model matches implied volatility surfaces and their dynamics without requiring parameter recalibration. A variety of metrics show improvements over traditional benchmarks in- and out-of-sample.

Suggested Citation

  • Calvet , Laurent E. & Fearnley, Marcus & Adlai J. , Fisher & Markus, Leippold, 2013. "What's Beneath the Surface? Option Pricing with Multifrequency Latent States," HEC Research Papers Series 969, HEC Paris.
    • Handle: RePEc:ebg:heccah:0969
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    2. Chang, Chia-Lin & McAleer, Michael, 2015. "Econometric analysis of financial derivatives: An overview," Journal of Econometrics, Elsevier, vol. 187(2), pages 403-407.
    3. AUGUSTYNIAK, Maciej & BAUWENS, Luc & DUFAYS, Arnaud, 2016. "A New Approach to Volatility Modeling : The High-Dimensional Markov Model," LIDAM Discussion Papers CORE 2016042, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Tilfani, Oussama & Kristoufek, Ladislav & Ferreira, Paulo & El Boukfaoui, My Youssef, 2022. "Heterogeneity in economic relationships: Scale dependence through the multivariate fractal regression," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    5. Lux, Thomas, 2013. "Exact solutions for the transient densities of continuous-time Markov switching models: With an application to the poisson multifractal model," Kiel Working Papers 1871, Kiel Institute for the World Economy (IfW Kiel).
    6. Augustyniak, Maciej & Badescu, Alexandru & Bégin, Jean-François, 2023. "A discrete-time hedging framework with multiple factors and fat tails: On what matters," Journal of Econometrics, Elsevier, vol. 232(2), pages 416-444.

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    More about this item

    Keywords

    Markov-switching multifractal; particle filter; regime-switching; stochastic volatility; jump-risk premium; option pricing.;
    All these keywords.

    JEL classification:

    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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