- Title
- Modelling the short term interest with stochastic differential equation in continuous time: linear versus non-linear mode
- Creator
- Thaba, Lethabo Jane
- Subject
- Interest rates - South Africa, Interest rates - Mathematical models
- Date
- 2014-06-10
- Type
- Thesis
- Identifier
- uj:11441
- Identifier
- http://hdl.handle.net/10210/11137
- Description
- M.Com. (Financial Economics), Recently, there has been a growth in the bond market. This growth has brought with it an ever-increasing volume and range of interest rate depended derivative products known as interest rate derivatives. Amongst the variables used in pricing these derivative products is the short-term interest rate. A numbers of short-term interest rate models that are used to fit the short-term interest rate exist. Therefore, understanding the features characterised by various short-term interest rate models, and determining the best fitting models is crucial as this variable is fundamental in pricing interest rate derivatives, which further determine the decision making of economic agents. This dissertation examines various short-term interest rate models in continuous time in order to determine which model best fits the South African short-term interest rates. Both the linear and nonlinear short-term interest rate models were estimated. The methodology adopted in estimating the models was parametric approach using Quasi Maximum Likelihood Estimation (QMLE). The findings indicate that nonlinear models seem to fit the South African short-term interest rate data better than the linear models
- Contributor
- Uwilingiye, J., Dr.; Muteba Mwamba, J., Dr.
- Rights
- University of Johannesburg
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