An arbitrage-free interest rate model consistent with economic constraints for Long-Term Asset Liability Management
Vialas, Christine; Touzi, Nizar; Aïd, René (2012), An arbitrage-free interest rate model consistent with economic constraints for Long-Term Asset Liability Management, Bankers, Markets & Investors, 116, p. 4-19
TypeArticle accepté pour publication ou publié
Journal nameBankers, Markets & Investors
MetadataShow full item record
Abstract (EN)This paper proposes an Heath-Jarrow-Morton model of the yield curve that can fit the particular requirements of long-term asset and liability management (ALM). In particular, the proposed HJM model can reproduce expected long-term statistical properties of any two interest rates, while still satisfying the no-arbitrage constraints. We describe the methodology to calibrate the model in this particular constrainted setting, i.e. to find the model parameters as a function of the expected statistical properties. We precisely give the constraints on these expectations to ensure the existence of a solution.
Subjects / KeywordsHJM modeling; Assets and Liability Management; Calibration
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