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Option prices for risk‐neutral density estimation using nonparametric methods through big data and large‐scale problems

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  • Ana M. Monteiro
  • António A. F. Santos

Abstract

Option pricing theory determines the structure of call and put option pricing functions. In nonparametric risk‐neutral density estimation based on kernel functions, local constraints cannot induce a second derivative function that must integrate one. Convexity and monotonicity of pricing functions also cannot be enforced. A large‐scale (optimization) approach is proposed for the risk‐neutral density estimation, imposing an enlarged set of no‐arbitrage constraints. We considered simulations using Heston's model and hypergeometric functions. The method is applied to samples of intraday data from VIX and S&P500 indexes.

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  • Ana M. Monteiro & António A. F. Santos, 2022. "Option prices for risk‐neutral density estimation using nonparametric methods through big data and large‐scale problems," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 42(1), pages 152-171, January.
    • Handle: RePEc:wly:jfutmk:v:42:y:2022:i:1:p:152-171
    DOI: 10.1002/fut.22258
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    References listed on IDEAS

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