An implementation of the HJM model with application to Japanese interest futures

1996 ◽  
Vol 3 (2) ◽  
pp. 151-170 ◽  
Author(s):  
Kenji Kamizono ◽  
Takeaki Kariya
Keyword(s):  

Mathematics ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 114
Author(s):  
Valerii Maltsev ◽  
Michael Pokojovy

The Heath-Jarrow-Morton (HJM) model is a powerful instrument for describing the stochastic evolution of interest rate curves under no-arbitrage assumption. An important feature of the HJM approach is the fact that the drifts can be expressed as functions of respective volatilities and the underlying correlation structure. Aimed at researchers and practitioners, the purpose of this article is to present a self-contained, but concise review of the abstract HJM framework founded upon the theory of interest and stochastic partial differential equations in infinite dimensions. To illustrate the predictive power of this theory, we apply it to modeling and forecasting the US Treasury daily yield curve rates. We fit a non-parametric model to real data available from the US Department of the Treasury and illustrate its statistical performance in forecasting future yield curve rates.





2003 ◽  
Vol 38 (2) ◽  
pp. 337 ◽  
Author(s):  
Robert Jarrow ◽  
Yildiray Yildirim
Keyword(s):  


2010 ◽  
Vol 7 (1) ◽  
pp. 8-13 ◽  
Author(s):  
Robert A. Jarrow
Keyword(s):  


2018 ◽  
Vol 22 (3) ◽  
pp. 643-666
Author(s):  
Dan Pirjol ◽  
Lingjiong Zhu
Keyword(s):  


2012 ◽  
Vol 6 (3) ◽  
pp. 155-190 ◽  
Author(s):  
Stéphane Crépey ◽  
Zorana Grbac ◽  
Hai-Nam Nguyen
Keyword(s):  


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