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Pricing caps with HJM models: the benefits of humped volatility

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  • Jury Falini

Abstract

In this paper we compare different multifactor HJM models with humped volatility structures, to each other and to models with strictly decreasing volatility. All the models are estimated on Euribor and swap rates panel data. We develop the analysis in two steps: first we study the in-sample properties of the estimated models, then we study the pricing performance on caps. We find the humped volatility specification to greatly improve the model estimation and to provide sufficiently accurate cap prices, although the models has been calibrated on interest rates data and not on cap prices. Moreover we find the two factor humped volatility model to outperform the three factor models in pricing caps

Suggested Citation

  • Jury Falini, 2009. "Pricing caps with HJM models: the benefits of humped volatility," Department of Economics University of Siena 563, Department of Economics, University of Siena.
    • Handle: RePEc:usi:wpaper:563
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    More about this item

    Keywords

    Finance; interest rates; humped volatility; Kalman filter; cap and floor pricing;
    All these keywords.

    JEL classification:

    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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