The Performance of Multi-Factor Term Structure Models for Pricing and Hedging Caps and Swaptions

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Abstract

In this paper we empirically compare different term structure models when it comes to the pricing and hedging of caps and swaptions.We analyze the influence of the number of factors on the pricing and hedging results, and investigate which type of data -interest rate data or derivative price data- should be used to estimate the model parameters to obtain the best pricing and hedging results. We use data on interest rates, and cap and swaption prices from 1995 to 1999.We find that models with two or three factors imply better out-of-sample predictions of cap and swaption prices than one-factor models.Also, estimation on the basis of derivative prices leads to more accurate out-of-sample prediction of cap and swaption prices than estimation on the basis of interest rate data.The empirical results on the hedging of caps and swaptions show that, if the number of hedge instruments is equal to the number of factors, the multi-factor models outperform one-factor models in hedging caps and swaptions. However, if one uses a large set of hedge instruments, one-factor models perform as well as multi-factor models.
Original languageEnglish
Place of PublicationTilburg
PublisherFinance
Number of pages46
Volume2000-93
Publication statusPublished - 2000

Publication series

NameCentER Discussion Paper
Volume2000-93

Fingerprint

Hedging
Swaption
Term structure models
Multi-factor
Pricing
Interest rates
Factors
Derivatives
Hedge
Out-of-sample forecasting
Multifactor model
Empirical results

Keywords

  • term structure of interest rates
  • option pricing
  • hedging
  • derivatives

Cite this

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title = "The Performance of Multi-Factor Term Structure Models for Pricing and Hedging Caps and Swaptions",
abstract = "In this paper we empirically compare different term structure models when it comes to the pricing and hedging of caps and swaptions.We analyze the influence of the number of factors on the pricing and hedging results, and investigate which type of data -interest rate data or derivative price data- should be used to estimate the model parameters to obtain the best pricing and hedging results. We use data on interest rates, and cap and swaption prices from 1995 to 1999.We find that models with two or three factors imply better out-of-sample predictions of cap and swaption prices than one-factor models.Also, estimation on the basis of derivative prices leads to more accurate out-of-sample prediction of cap and swaption prices than estimation on the basis of interest rate data.The empirical results on the hedging of caps and swaptions show that, if the number of hedge instruments is equal to the number of factors, the multi-factor models outperform one-factor models in hedging caps and swaptions. However, if one uses a large set of hedge instruments, one-factor models perform as well as multi-factor models.",
keywords = "term structure of interest rates, option pricing, hedging, derivatives",
author = "J.J.A.G. Driessen and P. Klaassen and B. Melenberg",
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year = "2000",
language = "English",
volume = "2000-93",
series = "CentER Discussion Paper",
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The Performance of Multi-Factor Term Structure Models for Pricing and Hedging Caps and Swaptions. / Driessen, J.J.A.G.; Klaassen, P.; Melenberg, B.

Tilburg : Finance, 2000. (CentER Discussion Paper; Vol. 2000-93).

Research output: Working paperDiscussion paperOther research output

TY - UNPB

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N1 - Pagination: 46

PY - 2000

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N2 - In this paper we empirically compare different term structure models when it comes to the pricing and hedging of caps and swaptions.We analyze the influence of the number of factors on the pricing and hedging results, and investigate which type of data -interest rate data or derivative price data- should be used to estimate the model parameters to obtain the best pricing and hedging results. We use data on interest rates, and cap and swaption prices from 1995 to 1999.We find that models with two or three factors imply better out-of-sample predictions of cap and swaption prices than one-factor models.Also, estimation on the basis of derivative prices leads to more accurate out-of-sample prediction of cap and swaption prices than estimation on the basis of interest rate data.The empirical results on the hedging of caps and swaptions show that, if the number of hedge instruments is equal to the number of factors, the multi-factor models outperform one-factor models in hedging caps and swaptions. However, if one uses a large set of hedge instruments, one-factor models perform as well as multi-factor models.

AB - In this paper we empirically compare different term structure models when it comes to the pricing and hedging of caps and swaptions.We analyze the influence of the number of factors on the pricing and hedging results, and investigate which type of data -interest rate data or derivative price data- should be used to estimate the model parameters to obtain the best pricing and hedging results. We use data on interest rates, and cap and swaption prices from 1995 to 1999.We find that models with two or three factors imply better out-of-sample predictions of cap and swaption prices than one-factor models.Also, estimation on the basis of derivative prices leads to more accurate out-of-sample prediction of cap and swaption prices than estimation on the basis of interest rate data.The empirical results on the hedging of caps and swaptions show that, if the number of hedge instruments is equal to the number of factors, the multi-factor models outperform one-factor models in hedging caps and swaptions. However, if one uses a large set of hedge instruments, one-factor models perform as well as multi-factor models.

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