Parametric properties of semi-nonparametric distributions, with applications to option valuation

• Autores: Angel León Valle, Javier Mencía, Enrique Sentana Iváñez
• Localización: Documentos de trabajo - Banco de España, ISSN 0213-2710, Nº 7, 2007, págs. 5-62
• Idioma: inglés
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• Dialnet Métricas: 4 Citas
• Resumen

  • We derive the statistical properties of the SNP densities of Gallant and Nychka (1987). We show that these densities, which are always positive, are more flexible than truncated Gram-Charlier expansions with positivity restrictions. We use the SNP densities for financial derivatives valuation. We relate real and risk-neutral measures, obtain closed-form prices for European options, and analyse the semiparametric properties of our pricing model. In an empirical application to S&P500 index options, we compare our model to the standard and Practitioner's Black-Scholes formulas, truncated expansions, and the Generalised Beta and Variance Gamma models.