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Singular risk-neutral valuation equations

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  • Cristina Costantini
  • Marco Papi
  • Fernanda D’Ippoliti

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  • Cristina Costantini & Marco Papi & Fernanda D’Ippoliti, 2012. "Singular risk-neutral valuation equations," Finance and Stochastics, Springer, vol. 16(2), pages 249-274, April.
    • Handle: RePEc:spr:finsto:v:16:y:2012:i:2:p:249-274
    DOI: 10.1007/s00780-011-0166-8
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    References listed on IDEAS

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    1. Bakshi, Gurdip & Cao, Charles & Chen, Zhiwu, 1997. "Empirical Performance of Alternative Option Pricing Models," Journal of Finance, American Finance Association, vol. 52(5), pages 2003-2049, December.
    2. Andrea Pascucci, 2008. "Free boundary and optimal stopping problems for American Asian options," Finance and Stochastics, Springer, vol. 12(1), pages 21-41, January.
    3. Andrea Pascucci & Marco Di Francesco, 2005. "On the complete model with stochastic volatility by Hobson and Rogers," Finance 0503013, University Library of Munich, Germany.
    4. Bates, David S, 1996. "Jumps and Stochastic Volatility: Exchange Rate Processes Implicit in Deutsche Mark Options," The Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 69-107.
    5. David G. Hobson & L. C. G. Rogers, 1998. "Complete Models with Stochastic Volatility," Mathematical Finance, Wiley Blackwell, vol. 8(1), pages 27-48, January.
    6. Darrell Duffie & Jun Pan & Kenneth Singleton, 2000. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," Econometrica, Econometric Society, vol. 68(6), pages 1343-1376, November.
    7. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    8. Laura Monti & Andrea Pascucci, 2009. "Obstacle problem for Arithmetic Asian options," Papers 0910.4257, arXiv.org.
    9. Massimo Bernaschi & Maya Briani & Marco Papi & Davide Vergni, 2007. "Scenario-generation methods for an optimal public debt strategy," Quantitative Finance, Taylor & Francis Journals, vol. 7(2), pages 217-229.
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    Citations

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    Cited by:

    1. F. Antonacci & C. Costantini & F. D'Ippoliti & M. Papi, 2020. "Inflation, ECB and short-term interest rates: A new model, with calibration to market data," Papers 2010.05462, arXiv.org.
    2. Flavia Antonacci & Cristina Costantini & Marco Papi, 2021. "Short-Term Interest Rate Estimation by Filtering in a Model Linking Inflation, the Central Bank and Short-Term Interest Rates," Mathematics, MDPI, vol. 9(10), pages 1-20, May.
    3. M. Papi & L. Pontecorvi & C. Donatucci, 2017. "Weighted average price in the Heston stochastic volatility model," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 351-373, November.

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    More about this item

    Keywords

    Degenerate integro-differential equations; Viscosity solutions; Asian options; Stochastic volatility; Jump-diffusion; C02; G12; 35D05; 35K65; 60H15; 60H30; 60J75;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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