Maximum likelihood estimation of the parameters of stochastic differential equations. The primary objective of this project is to develop efficient algorithms for estimating the parameters of stochastic differential equations (SDEs) by simulated and exact maximum likelihood. The research will draw on both parametric and non-parametric analysis in novel ways to construct estimation procedures that are computationally feasible. These methods will then be applied in the area of finance and used to ....Maximum likelihood estimation of the parameters of stochastic differential equations. The primary objective of this project is to develop efficient algorithms for estimating the parameters of stochastic differential equations (SDEs) by simulated and exact maximum likelihood. The research will draw on both parametric and non-parametric analysis in novel ways to construct estimation procedures that are computationally feasible. These methods will then be applied in the area of finance and used to estimate the parameters of stochastic-volatility models, thus contributing to knowledge in a prominent area of complex systems, namely financial risk. The execution of this collaborative project will deliver quality research training in the topical area of mathematical finance and produce high-calibre postgraduates.
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Modelling the Risk of Defined Contribution Superannuation Plans. The provision of retirement income is undergoing significant change - a shift from unfunded social security towards private funding and, within the privately funded sector, a shift from defined-benefit (DB) to defined-contribution (DC) plans. The research will develop a new framework, based on stochastic simulation, to undertake innovative critical analyses of the riskiness of DC superannuation plans. It extends existing work by ....Modelling the Risk of Defined Contribution Superannuation Plans. The provision of retirement income is undergoing significant change - a shift from unfunded social security towards private funding and, within the privately funded sector, a shift from defined-benefit (DB) to defined-contribution (DC) plans. The research will develop a new framework, based on stochastic simulation, to undertake innovative critical analyses of the riskiness of DC superannuation plans. It extends existing work by the inclusion of insitutional, regulatory and labour market features of the superannuation system. The results of the research, based on more finite modelling and greater economic accuracy, will be vital in informing retirement policy.Read moreRead less