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Jump and Volatility Risk Premiums Implied by VIX


  • 研討會日期 : 2007-06-26
  • 時間 : 17:00
  • 主講人 : Prof. Jin-Chuan Duan
  • 地點 : B棟110室
  • 演講者簡介 : Prof. Jin-Chuan Duan為Ph.D., University of Wisconsin- Madison (1986)。 現為Professor of Finance and Manulife Chair in Financial Services Joseph L. Rotman School of Management, University of Toronto。 其主要研究領域為Financial Engineering and Risk Management, Financial Econometrics, Banking and Insurance。
  • 演講摘要 : An estimation method is developed for extracting the latent stochastic volatility from VIX, a volatility index for the S&P 500 index return produced by the Chicago Board Options Exchange (CBOE) using the so-called model-free volatility construction. Our model specification encompasses all mean-reverting stochastic volatility option pricing models with a constant-elasticity of variance and those allowing for price jumps under stochastic volatility. Our approach is made possible by linking the latent volatility to the VIX index via a new theoretical relationship under the risk-neutral measure. Because option prices are not directly used in estimation, we can avoid the computational burden associated with option valuation for stochastic volatility/jump option pricing models. Our empirical findings are: (1) incorporating a jump risk factor is critically important; (2) the jump and volatility risks are priced; and (3) the popular square-root stochastic volatility process is a poor model specification irrespective of allowing for price jumps or not.