Household mortgage choice: theoretical and empirical evidence. A house is often the largest component of household assets, and financing its purchase involves choosing a mortgage product from many alternatives. Inefficiencies and incompleteness in mortgage markets have important consequences. This project uncovers theoretical and empirical evidence on why Australians choose particular mortgage products.
Detecting financial contagion using high frequency data. Financial crises spread extraordinarily quickly. However, existing tools for measuring this spread use relatively low frequency data. This project develops tools for measuring and detecting periods of stress and the effects of financial contagion in financial markets, using high frequency data based on recorded transaction prices.
Change Detection in Causal Relationships and Measurement of Systemic Risk. Empirical measures of interconnectedness between financial institutions based on tests of Granger causality are currently used in detecting systemic risk. However, researchers need to define periods of calm and stress exogenously in order to implement these tests appropriately. This project aims to develop a new procedure to identify changes in causal relationships and the timing of these changes. The new approach has the ....Change Detection in Causal Relationships and Measurement of Systemic Risk. Empirical measures of interconnectedness between financial institutions based on tests of Granger causality are currently used in detecting systemic risk. However, researchers need to define periods of calm and stress exogenously in order to implement these tests appropriately. This project aims to develop a new procedure to identify changes in causal relationships and the timing of these changes. The new approach has the potential to be a significant improvement in the real-time identification of emerging turmoil in financial markets and provide an improved method for the detection of systemic risk. The new test procedure will be implemented using data for financial and non-financial institutions across Europe, the US and Australia.Read moreRead less
Markov invariants and phylogenetic tree reconstruction. The project will assist Australia to progress as an innovator in the production phylogenetic tree reconstruction techniques.
Identifying species is a difficult task with environmental, social and economic benefits to Australia. DNA evidence and phylogenetic methods clearly achieve this task. Conservation of rare species depends upon identification and hence robust phylogenetic analysis. Phylogenetically identifying fish species has econom ....Markov invariants and phylogenetic tree reconstruction. The project will assist Australia to progress as an innovator in the production phylogenetic tree reconstruction techniques.
Identifying species is a difficult task with environmental, social and economic benefits to Australia. DNA evidence and phylogenetic methods clearly achieve this task. Conservation of rare species depends upon identification and hence robust phylogenetic analysis. Phylogenetically identifying fish species has economic importance as different fish species are all managed separately, having different catch limits, catch areas and market values. Using effective phylogenetic methods, epidemiologists can track the spread of a disease through a population. Read moreRead less
Understanding the Behaviour and Impact of Bond Markets. An improved understanding of the way in which the timing of transactions on financial markets interact enables better choices to be made in terms of designing market systems and conventions. The US Treasury market is arguably the most important market in the world, and uses an expandable limit order book. Better understanding of this market will help in choices about new system design, and in how news transmitted through this market may im ....Understanding the Behaviour and Impact of Bond Markets. An improved understanding of the way in which the timing of transactions on financial markets interact enables better choices to be made in terms of designing market systems and conventions. The US Treasury market is arguably the most important market in the world, and uses an expandable limit order book. Better understanding of this market will help in choices about new system design, and in how news transmitted through this market may impact on other markets. In particular this project will consider the role of the microstructure of the US Treasury market in the 2007-2008 financial crisis.Read moreRead less
Algebraically informed models of biological sequence evolution. To make sense of the patterns they see in the natural world, biologists across fields as diverse as genetics, epidemiology and biogeography need an accurate picture of evolutionary history. DNA sequences provide an exciting means to establish this picture of the past, but to decode it successfully requires mathematical models of how DNA evolves. Mathematical inconsistencies have been identified with current approaches. In particular ....Algebraically informed models of biological sequence evolution. To make sense of the patterns they see in the natural world, biologists across fields as diverse as genetics, epidemiology and biogeography need an accurate picture of evolutionary history. DNA sequences provide an exciting means to establish this picture of the past, but to decode it successfully requires mathematical models of how DNA evolves. Mathematical inconsistencies have been identified with current approaches. In particular, understanding the effect of natural selection in different parts of the tree of life requires models that behave robustly in the face of shifting evolutionary processes. This project aims to use insights from algebraic methods to construct mathematically consistent models of wide biological utility.Read moreRead less
An efficient approach to the computation of bacterial evolutionary distance. This project aims to apply advanced mathematical tools to improve our understanding of bacterial evolution. Bacteria account for as much total Earth biomass as all plant species put together, and have an unparalleled ability to evolve quickly and adapt to changing environments. Unfortunately, the existing mathematical models used to model bacterial evolution are generally computationally intractable. This project will r ....An efficient approach to the computation of bacterial evolutionary distance. This project aims to apply advanced mathematical tools to improve our understanding of bacterial evolution. Bacteria account for as much total Earth biomass as all plant species put together, and have an unparalleled ability to evolve quickly and adapt to changing environments. Unfortunately, the existing mathematical models used to model bacterial evolution are generally computationally intractable. This project will rectify this situation by using representation theory to transform combinatorial group theory into linear algebra, allowing for the application of advanced methods of numeric approximation. This will provide a better understanding of how bacteria evolve and improve our ability to manage their impact.Read moreRead less
Statistical Literacy for the Twenty-first Century: A Consolidated Model of Understanding for Application to Learning in Context. The overall aim of this project is to achieve a complete developmental model of school students? understanding of the concepts required to participate as statistically literate members of society. Australia is now an information- and data-driven society and to achieve its goals economically, scientifically, and socially, it requires citizens who can make decisions base ....Statistical Literacy for the Twenty-first Century: A Consolidated Model of Understanding for Application to Learning in Context. The overall aim of this project is to achieve a complete developmental model of school students? understanding of the concepts required to participate as statistically literate members of society. Australia is now an information- and data-driven society and to achieve its goals economically, scientifically, and socially, it requires citizens who can make decisions based on appropriate quantitative understanding. A major component of this is statistical literacy. The outcomes of this project based on the theoretical model will include assessment instruments, recommendations for the school curriculum, and trialed learning materials and technologies shown to contribute to understanding, for classroom use.Read moreRead less
Knowledge for teaching primary mathematics: How teachers' pedagogical content knowledge develops and affects classroom practices and students' mathematics achievement. The study will investigate mathematics teaching in upper primary school, to identify the influence of teachers? mathematics-specific pedagogical knowledge, first on teaching practice and subsequently on students? learning outcomes. Case study evidence shows this influence is strong, but statistical evidence shows it is weak. This ....Knowledge for teaching primary mathematics: How teachers' pedagogical content knowledge develops and affects classroom practices and students' mathematics achievement. The study will investigate mathematics teaching in upper primary school, to identify the influence of teachers? mathematics-specific pedagogical knowledge, first on teaching practice and subsequently on students? learning outcomes. Case study evidence shows this influence is strong, but statistical evidence shows it is weak. This study aims to resolve this paradox by employing quality data that probes the heart of teaching and learning mathematics within a statistical study. The growth of knowledge and classroom practices of teachers graduating from two contrasting pre-service programs will also be tracked, to inform recommendations on the nature of discipline-specific pedagogical knowledge in teacher training.Read moreRead less
Statistical literacy in the primary school: beginning inference. Australia is committed to building a stronger foundation for school mathematics and science. This project will introduce primary school students to beginning inference, a core component of statistical literacy and an increasingly important life skill. Foundations for secondary mathematics study and productive societal participation will be laid.