Frontiers of Risk Modelling: Dependence and Extremes of Levy Processes. This project plans to continue an ongoing theoretical study into continuous-time stochastic processes, concentrating on developing tools for the further analysis and understanding of extremal and multivariate phenomena with applications to portfolio analysis, value-at risk calculations and complex financial instruments, with particular emphasis on practical applications of the methodologies in the insurance and finance indus ....Frontiers of Risk Modelling: Dependence and Extremes of Levy Processes. This project plans to continue an ongoing theoretical study into continuous-time stochastic processes, concentrating on developing tools for the further analysis and understanding of extremal and multivariate phenomena with applications to portfolio analysis, value-at risk calculations and complex financial instruments, with particular emphasis on practical applications of the methodologies in the insurance and finance industries. Expected outcomes would be of direct interest to these industries as well as having significant mathematical interest.Read moreRead less
Improving fraud detection, financial reporting quality, investor confidence and market returns by using specialist auditors. As investors, managers and auditors grapple with the global financial crisis effects, this project's findings will help them by showing how and when auditor specialisation contributes to greater financial statement quality and returns. Investors will benefit from lower audit costs, increased audit quality and more credible financial statements.
Protecting Australia’s brand assets and stakeholder interests. International accounting standards have recently been harmonised to allow firms to recognise the value of purchased brands on their balance sheets, subject to an annual test to verify that value has not been impaired. There are no widely accepted methodologies with which to undertake such tests, despite the requirement for the balance sheet to provide a true and fair view of financial position. This research will develop three approa ....Protecting Australia’s brand assets and stakeholder interests. International accounting standards have recently been harmonised to allow firms to recognise the value of purchased brands on their balance sheets, subject to an annual test to verify that value has not been impaired. There are no widely accepted methodologies with which to undertake such tests, despite the requirement for the balance sheet to provide a true and fair view of financial position. This research will develop three approaches to calibrate brand impairment and draw lessons from applying them over a three year period. The outputs are twofold: first, a suite of detailed methods for accountants, auditors and financial analysts to measure and diagnose brand value; second, several key indicators that can be used to monitor signs of brand impairment.Read moreRead less
Fundamental mathematical structures in statistical and quantum systems. Mathematics is playing a key role in modern science and technology. This project will bring together world leading experts from Australia and the USA to unravel the most fundamental mathematical structures in of statistical and quantum systems arising in settings ranging from physics of tiny quantum dots to string theory in high energy physics. This research will ensure Australia's involvement in cutting-edge international d ....Fundamental mathematical structures in statistical and quantum systems. Mathematics is playing a key role in modern science and technology. This project will bring together world leading experts from Australia and the USA to unravel the most fundamental mathematical structures in of statistical and quantum systems arising in settings ranging from physics of tiny quantum dots to string theory in high energy physics. This research will ensure Australia's involvement in cutting-edge international developments in mathematical sciences poised to deliver new significant results in the fundamental quantum theory of matter. The project will also contribute to training young researchers to maintain Australia's international standing in fundamental science.Read moreRead less
Entropic Analysis of Financial Risk and Uncertainty. The recent financial crisis has shown that the financial markets are not as stable as expected, and are at risk from a lack of knowledge about new financial products and their risks. This research provides a framework to better measure and forecast financial risks by applying a set of techniques known collectively as entropic analysis as a novel way to measure the amount of information that can be extracted from historical data. The research w ....Entropic Analysis of Financial Risk and Uncertainty. The recent financial crisis has shown that the financial markets are not as stable as expected, and are at risk from a lack of knowledge about new financial products and their risks. This research provides a framework to better measure and forecast financial risks by applying a set of techniques known collectively as entropic analysis as a novel way to measure the amount of information that can be extracted from historical data. The research will facilitate the design of policies and regulations by regulatory authorities that need to evaluate new financial products, their associated risks and their impacts on the financial markets.Read moreRead less
Understanding and overcoming confusion in consumer financial decisions. This project aims to develop consumer-centred approaches to reducing the harmful effects of confusion in financial decisions by studying superannuation investment and home loan decisions where confused choices are individually and collectively costly. The project intends to develop comprehensive models to capture the full complexity of financial products and the diverse preferences and capability of consumers, then to use ad ....Understanding and overcoming confusion in consumer financial decisions. This project aims to develop consumer-centred approaches to reducing the harmful effects of confusion in financial decisions by studying superannuation investment and home loan decisions where confused choices are individually and collectively costly. The project intends to develop comprehensive models to capture the full complexity of financial products and the diverse preferences and capability of consumers, then to use advanced statistical methods to estimate the benefits of clearer decision-making. The outcomes of this project includes new models of complex financial decisions, and a better understanding of where confusion arises and the effects it may have. Decreased confusion will raise financial well-being and help communities become more resilient to financial shocks.Read moreRead less
Quantization of polyhedral surfaces. Recent developments in the theory of discrete surfaces have revealed their fascinating links to many other areas of mathematics including integrable systems and quantum geometry. Rapid progress in this field is motivated by applications in pure mathematics, mathematical physics, computer graphics and engineering. Australian researchers are world recognized experts in integrable systems and this project will link them together with German experts in discrete d ....Quantization of polyhedral surfaces. Recent developments in the theory of discrete surfaces have revealed their fascinating links to many other areas of mathematics including integrable systems and quantum geometry. Rapid progress in this field is motivated by applications in pure mathematics, mathematical physics, computer graphics and engineering. Australian researchers are world recognized experts in integrable systems and this project will link them together with German experts in discrete differential geometry. The project will advance our knowledge base in fundamental and applied sciences and offer a unique research training opportunity for students in contemporary areas of pure and applied mathematics.Read moreRead less
Australia's Resilience to Recession. This project aims to study why Australia differs from its OECD peers in that it has not had a recession for 27 years. It intends to generate knowledge by using economic models to solve 3 puzzles relating to Australia’s success: (i) why did foreign financial market shocks not spill over to the economy?; (ii) how has the resource curse that affects economies with a booming resource sector been avoided?; and (iii) what makes Australia special? Expected outcomes ....Australia's Resilience to Recession. This project aims to study why Australia differs from its OECD peers in that it has not had a recession for 27 years. It intends to generate knowledge by using economic models to solve 3 puzzles relating to Australia’s success: (i) why did foreign financial market shocks not spill over to the economy?; (ii) how has the resource curse that affects economies with a booming resource sector been avoided?; and (iii) what makes Australia special? Expected outcomes include the development of theoretical and empirical models that reflect the unique features of the Australian economy. This should provide significant benefits, including guidance to Australian and international policymakers on macroeconomic policies for resource-rich countries.Read moreRead less
Invariants of singular spaces from noncommutative geometry. The project addresses questions of significance at the international forefront in the mathematical sciences and the ARC funds will enable research training of students and postdoctoral fellows at this very high level. International collaboration and networking is a key feature that will enhance Australia's scientific standing and provide opportunities for early career researchers to engage internationally with world leaders. The mainten ....Invariants of singular spaces from noncommutative geometry. The project addresses questions of significance at the international forefront in the mathematical sciences and the ARC funds will enable research training of students and postdoctoral fellows at this very high level. International collaboration and networking is a key feature that will enhance Australia's scientific standing and provide opportunities for early career researchers to engage internationally with world leaders. The maintenance of a high quality research program at ANU enhances Australia's ability to attract international students and places the ANU in the top league of world universities. It brings with it recognition of Australia as a culturally advanced nation.Read moreRead less
Hypergraph models for complex discrete systems. This project aims to better understand the structure and properties of very large hypergraphs of various kinds. Hypergraphs are very general mathematical objects which can be used to model complex discrete systems. They arise naturally in many areas such as ecology, chemistry and computer science. Despite this, our theoretical understanding of very large, or random, hypergraphs lags far behind the intensely-studied special case of graphs. This proj ....Hypergraph models for complex discrete systems. This project aims to better understand the structure and properties of very large hypergraphs of various kinds. Hypergraphs are very general mathematical objects which can be used to model complex discrete systems. They arise naturally in many areas such as ecology, chemistry and computer science. Despite this, our theoretical understanding of very large, or random, hypergraphs lags far behind the intensely-studied special case of graphs. This project will answer many fundamental questions about large, random hypergraphs. The expected outcomes of the project also include new tools for working with hypergraphs, such as efficient algorithms for sampling hypergraphs. These outcomes will benefit researchers who use hypergraphs in their work and will enhance Australia's reputation for research in this area.Read moreRead less