Arbitrage-free SVI volatility surfaces

نویسندگان

  • Jim Gatheral
  • Antoine Jacquier
چکیده

In this article, we show how to calibrate the widely-used SVI parameterization of the implied volatility smile in such a way as to guarantee the absence of static arbitrage. In particular, we exhibit a large class of arbitrage-free SVI volatility surfaces with a simple closed-form representation. We demonstrate the high quality of typical SVI fits with a numerical example using recent SPX options data.

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تاریخ انتشار 2012