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Option Pricing with State-dependent Pricing Kernel

Bibliographic record. Follow the original-source link for the publication.

Field Value
Primary domain Volatility
Other domains
Methods Research Methods
Facets Instrument Index Options
Authors Chen Tong, Peter Reinhard Hansen, Zhuo Huang
Published 2022-04-14
Source arXiv Quantitative Finance History
Identifiers arxiv:2112.05308
URL Open original source

Editorial synthesis

Why it matters

The study allows the variance risk premium to vary with a Markov state, bringing time-varying volatility-risk aversion directly into a realized-GARCH option-pricing framework. (abstract:S1, abstract:S2, abstract:S3)

Main author claims

  • The authors combine Markov switching with Realized GARCH, construct a pricing kernel with a state-dependent variance risk premium, and derive an approximate analytical formula for European options. (abstract:S1, abstract:S2)
  • The authors report: On S&P 500 index options from 1990 to 2019, the authors report time-varying aversion to volatility-specific risk and at least a 15% reduction in in-sample and out-of-sample pricing errors relative to competing models. (abstract:S3, abstract:S4)

Data, method, or discussion scope

The evidence covers a European-option pricing formula and in-sample and out-of-sample pricing-error comparisons on S&P 500 index options from 1990 to 2019. (abstract:S1, abstract:S2, abstract:S3, abstract:S4)

Main limitations

The abstract provides one index-options market and an aggregate error improvement but does not identify the competing models, loss function, transaction costs, or uncertainty in regime estimation. (abstract:S3, abstract:S4)

Relationships

  • None recorded.