Consistent Estimation of Pricing Kernels from Noisy Price Data

Preprint OPEN
Vladislav Kargin; (2003)
  • Subject: Mathematics - Statistics Theory | 62G08, 45Q05, 65J22 | epsilon-entropy, non-parametric estimation, pricing kernel, inverse problems | Mathematics - Numerical Analysis | Quantitative Finance - Statistical Finance
    • jel: jel:G12 | jel:C14 | jel:G13
    acm: TheoryofComputation_GENERAL
    arxiv: Computer Science::Computer Science and Game Theory

If pricing kernels are assumed non-negative then the inverse problem of finding the pricing kernel is well-posed. The constrained least squares method provides a consistent estimate of the pricing kernel. When the data are limited, a new method is suggested: relaxed max... View more
  • References (27)
    27 references, page 1 of 3

    Ait-Sahalia, Y. and J. Duarte (2003). Nonparametric option pricing under shape restrictions. Journal of Econometrics 116, 9-47.

    Ait-Sahalia, Y. and A. Lo (1998). Nonparametric estimation of state-price densities implicit in financial asset prices. Journal of Finance 53, 499- 547.

    Ait-Sahalia, Y. and A. Lo (2000). Nonparametric risk management and implied risk aversion. Journal of Econometrics 94, 9-51.

    Avellaneda, M. (1998). Minimum-relative-entropy calibration of asset-pricing models. International Journal of Theoretical and Applied Finance 1 (4), 447-472.

    Avellaneda, M., C. Friedman, R. Holmes, and D. Samperi (1997). Calibrating volatility surfaces via relative-entropy minimization. Applied Mathematical Finance 4 (1), 37-64.

    Banz, R. and M. Miller (1978). Prices of state-contingent claims: some estimates and applications. Journal of Business 51 (4), 653-672.

    Bondarenko, O. (2003). Estimation of risk-neutral densities using positive convolution approximation. Journal of Econometrics 116, 85-112.

    Breeden, D. T. and R. H. Litzenberger (1978). Prices of state-contingent claims implicit in option prices. Journal of Business 51 (4), 621-651.

    Buchen, P. W. and M. Kelly (1996). The maximum entropy distribution of asset inferred from option prices. Journal of Financial and Quantitative Analysis 31 (1), 143-159.

    Engl, H. W. (2000). Inverse problems and their regularization. In Computational mathematics driven by industrial problems (Martina Franca, 1999), Volume 1739 of Lecture Notes in Math., pp. 127-150. Berlin: Springer.

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