Modelling interest rates by correlated multi-factor CIR-like processes
| dc.creator | Bertini, L. | |
| dc.creator | Passalacqua, L. | |
| dc.date | 2008-07-24 | |
| dc.date.accessioned | 2026-07-07T12:05:55Z | |
| dc.date.available | 2026-07-07T12:05:55Z | |
| dc.description | We investigate the joint description of the interest-rate term stuctures of Italy and an AAA-rated European country by mean of a --here proposed-- correlated CIR-like bivariate model where one of the state variables is interpreted as a benchmark risk-free rate and the other as a credit spread. The model is constructed by requiring the strict positivity of interest rates and the asymptotic decoupling of the joint distribution of the two state variables on a long time horizon. The second condition is met by imposing the reversibility of the process with respect to a product measure, the first is then implemented by using the tools of potential theory. It turns out that these conditions select a class of non-affine models, out of which we choose one that is quadratic in the two state variables both in the drift and diffusion matrix. We perform a numerical analysis of the model by investigating a cross section of the term structures comparing the results with those obtained with an uncoupled bivariate CIR model. | |
| dc.identifier | https://arxiv.org/abs/0807.3898 | |
| dc.identifier | http://arxiv.org/abs/0807.3898 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/208511 | |
| dc.subject | General Finance | |
| dc.subject | Applications | |
| dc.title | Modelling interest rates by correlated multi-factor CIR-like processes | |
| dc.type | text |