Risk Management under a Two-Factor Model of the Term Structure of Interest Rates

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Risk Management under a Two-Factor Model of the Term Structure of Interest Rates

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Manuel Moreno

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Manuel Moreno

Abstract

This paper presents several applications to interest rate risk management based on a two-factor continuous-time model of the term structure of interest rates previously presented in Moreno (1996). This model assumes that default free discount bond prices are determined by the time to maturity and two factors, the long-term interest rate and the spread (difference between the long-term rate and the short-term (instantaneous) riskless rate). Several new measures of ``generalized duration" are presented and applied in different situations in order to manage market risk and yield curve risk. By means of these measures, we are able to compute the hedging ratios that allows us to immunize a bond portfolio by means of options on bonds. Focusing on the hedging problem, it is shown that these new measures allow us to immunize a bond portfolio against changes (parallel and/or in the slope) in the yield curve. Finally, a proposal of solution of the limitations of conventional duration by means of these new measures is presented and illustrated numerically.

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Paper provided by Department of Economics and Business, Universitat Pompeu Fabra in its series Economics Working Papers with number 254.

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Date of creation: Dec 1997
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Handle: RePEc:upf:upfgen:254

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Find related papers by JEL classification:
C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Determination of Interest Rates; Term Structure of Interest Rates
G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

This paper has been announced in the following NEP Reports:

NEP-ALL-1998-09-14 (All new papers)
NEP-IFN-1998-09-14 (International Finance)

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Serafín Frache & Gabriel Katz, 2004. "Estimating a Risky Term Structure of Uruguayan Sovereign Bonds," Documentos de Trabajo (working papers) 0304, Department of Economics - dECON. [Downloadable!]

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