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A note on the Wang transform for stochastic volatility pricing models

Listed author(s):
  • Badescu, Alexandru
  • Cui, Zhenyu
  • Ortega, Juan-Pablo
Registered author(s):

    In this paper we study a conditional version of the Wang transform in the context of discrete GARCH models and their diffusion limits. Our first contribution shows that the conditional Wang transform and Duans generalized local risk-neutral valuation relationship based on equilibrium considerations, lead to the same GARCH option pricing model. We derive the weak limit of an asymmetric GARCH model risk-neutralized via Wang’s transform. The connection with stochastic volatility limits constructed using other standard pricing kernels, such as the conditional Esscher transform or the extended Girsanov principle, is further investigated by comparing the corresponding market prices of variance risk.

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    File URL: http://www.sciencedirect.com/science/article/pii/S1544612316301337
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    Article provided by Elsevier in its journal Finance Research Letters.

    Volume (Year): 19 (2016)
    Issue (Month): C ()
    Pages: 189-196

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    Handle: RePEc:eee:finlet:v:19:y:2016:i:c:p:189-196
    DOI: 10.1016/j.frl.2016.07.011
    Contact details of provider: Web page: http://www.elsevier.com/locate/frl

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