• Medientyp: E-Book; Bericht
  • Titel: Pricing kernel modeling
  • Beteiligte: Belomestny, Denis [VerfasserIn]; Ma, Shujie [VerfasserIn]; Härdle, Wolfgang Karl [VerfasserIn]
  • Erschienen: Berlin: Humboldt University of Berlin, Collaborative Research Center 649 - Economic Risk, 2014
  • Sprache: Englisch
  • Schlagwörter: Kernel Density Estimation ; Nonparametric Fitting ; Kullback-Leibler Divergence ; C14 ; Empirical Pricing Kernel ; C00 ; G12 ; Kernel
  • Entstehung:
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  • Beschreibung: We propose a new method to estimate the empirical pricing kernel based on option data. We estimate the pricing kernel nonparametrically by using the ratio of the risk-neutral density estimator and the subjective density estimator. The risk-neutral density is approximated by a weighted kernel density estimator with varying unknown weights for di erent observations, and the subjective density is approximated by a kernel density estimator with equal weights. We represent the European call option price function by the second order integration of the risk-neutral density, so that the unknown weights are obtained through one-step penalized least squares estimation with the Kullback-Leibler divergence as the penalty function. Asymptotic results of the resulting estimators are established. The performance of the proposed method is illustrated empirically by simulation and real data application studies.
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