Abstract
Given a Heath-Jarrow-Morton (HJM) interest rate model M and a parametrized family of finite dimensional forward rate curves G, this paper provides a technique for projecting the infinite dimensional forward rate curve r t given by M. onto the finite dimensional manifold G. The Stratonovich dynamics of the projected finite dimensional forward curve are derived and it is shown that, under the regularity conditions, the given Stratonovich differential equation has a unique strong solution. Moreover, this projection leads to an efficient algorithm for implicit parametric estimation of the infinite dimensional HJM model. The feasibility of this method is demonstrated by applying the generalized method of moments.
Original language | English (US) |
---|---|
Pages (from-to) | 777-785 |
Number of pages | 9 |
Journal | International Journal of Theoretical and Applied Finance |
Volume | 9 |
Issue number | 5 |
DOIs | |
State | Published - Aug 2006 |
All Science Journal Classification (ASJC) codes
- Finance
- Economics, Econometrics and Finance(all)
Keywords
- Calibration of HJM models
- Consistency problems
- Infinite dimensional stochastic differential equations
- Interest rate models