CEN, ZHONGDI (2016) ROBUST NUMERICAL SCHEME FOR A FIXED-RATE MORTGAGE VALUATION MODEL UNDER CIR INTEREST RATES. Asian Journal of Mathematics and Computer Research, 11 (2). pp. 123-136.
Full text not available from this repository.Abstract
In this paper we present a robust numerical scheme for the linear complementarity problem arising from the valuation of fixed rate mortgages. Under the assumption that the underlying interest rate follows the CIR model, the differential operator of the continuous linear complementarity problem is convection-dominated. We discretize the spatial derivatives by a hybrid finite difference method on a piecewise uniform mesh, and meanwhile, use the implicit Euler method to discretize the time derivative. It is shown that the numerical scheme is unconditionally stable. We prove that the scheme is almost second order convergent with respect to the interest rate. Finally, the numerical examples demonstrate the stability and accuracy of the scheme.
Item Type: | Article |
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Subjects: | Science Repository > Mathematical Science |
Depositing User: | Managing Editor |
Date Deposited: | 09 Jan 2024 06:48 |
Last Modified: | 09 Jan 2024 06:48 |
URI: | http://research.manuscritpub.com/id/eprint/3765 |