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Two counters of jumps

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  • Câmara, António

Abstract

This paper introduces a class of two counters of jumps option pricing models. The stock price follows a jump-diffusion process with price jumps up and price jumps down, where each type of jumps can have different means and standard deviations. Price jumps can be negatively autocorrelated as it has been observed in practice. We investigate the volatility surfaces generated by this class of two counters of jumps option pricing models. Our formulae, like the jump-diffusion models with a single counter of jumps, are able to generate smiles, and skews with similar shapes to those observed in the options markets. More importantly, unlike the jump-diffusion models with a single counter of jumps, our formulae are able to generate term structures of implied volatilities of at-the-money options with [intersection]-shaped patterns similar to those observed in the marketplace.

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  • Câmara, António, 2009. "Two counters of jumps," Journal of Banking & Finance, Elsevier, vol. 33(3), pages 456-463, March.
    • Handle: RePEc:eee:jbfina:v:33:y:2009:i:3:p:456-463
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    Cited by:

    1. Câmara, António & Krehbiel, Tim & Li, Weiping, 2011. "Expected returns, risk premia, and volatility surfaces implicit in option market prices," Journal of Banking & Finance, Elsevier, vol. 35(1), pages 215-230, January.
    2. Chung, San-Lin & Shih, Pai-Ta, 2009. "Static hedging and pricing American options," Journal of Banking & Finance, Elsevier, vol. 33(11), pages 2140-2149, November.
    3. Câmara, António & Popova, Ivilina & Simkins, Betty, 2012. "A comparative study of the probability of default for global financial firms," Journal of Banking & Finance, Elsevier, vol. 36(3), pages 717-732.
    4. Koussis, Nicos & Martzoukos, Spiros H. & Trigeorgis, Lenos, 2013. "Multi-stage product development with exploration, value-enhancing, preemptive and innovation options," Journal of Banking & Finance, Elsevier, vol. 37(1), pages 174-190.

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