Direct Semi-Parametric Estimation of the State Price Density Implied in Option Prices
期权价格隐含状态价格密度的直接半参数估计AI 解读 ↓
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AI 根据所提供的论文材料归类:摘要直接从期权报价估计状态价格密度,并讨论无套利约束和到期支付的定价关系,因此最直接对应资产定价方向。
期权价格隐含状态价格密度的直接半参数估计AI 解读 ↓
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We present a model for direct semi-parametric estimation of the state price density (SPD) implied by quoted option prices. We treat the observed prices as expected values of possible pay-offs at maturity, weighted by the unknown probability density function. We model the logarithm of the latter as a smooth function, using P-splines, while matching the expected values of the potential pay-offs with the observed prices. This leads to a special case of the penalized composite link model. Our estimates do not rely on any parametric assumption on the underlying asset price dynamics and are consistent with no-arbitrage conditions. The model shows excellent performance in simulations and in applications to real data.