GENERALIZED STOCHASTIC DURATION INMARKOVIAN HEATH-JARROW-MORTONFRAMEWORK

1 IntroductionIll moderll financial industry, risk managen1ent is a major task tliat fiuancial institutionsnlust deal witli in every tradiug day alld it is becouilng urore and more important for mailltaining tl1eir access to clieap capital and meeting risk-based caPital requirements. Meanwhile,sonle fiuaucial iustitutions (FI) sucl1 as co1nuercial ba1lks, iusurallce companies and securitiescolllpanies. etc., hold a large proportioll of fixed income security which price is sensitive totlle mar…

GENERALIZED STOCHASTIC DURATION IN MARKOVIAN HEATH-JARROW-MORTON FRAMEWORK

This paper focuses on how to measure the interest rate risk. The conventional measure methods of interest rate risk are reviewed and the duration concept is generalized to stochastic duration in the Markovian HJM framework. The generalized stochastic duration of the coupon bond is defined as the time to maturity of a zero coupon bond having the same instantaneous variance as the coupon bond. According to this definition, the authors first present the framework of Markovian HJM model, then deduce the measures of stochastic duration in some special cases which cover some extant interest term structure.