title: An analytical model for the break-even credit default swap spread with o counterparty default risk in Hall(2009): A pedagogical approach.

authors: Choi, Daniel F.S.

subjects: Credit Default Swap Spread

abstract: Professor Hull in his textbook [Hull, J. C. Options, Futures, & Other Derivatives, Edition 7, Pearson, 2009] illustrates the determination of the credit default swap (CDS) spread by a numerical example. This paper follows the assumptions used by Professor Hull and provides a reduced form formula for the CDS spread. The CDS spread can be simplified by the Taylor series into a function of two variables, the default probability and the recovery rate. Rearranging this simplified formula, the default probability, expressed as the ratio of the CDS spread and the loss given default, is equivalent to the average default intensity, or, the hazard rate defined in Hull [2009, p.500].

text: An analytical model for the break-even credit default swap spread with o counterparty default risk in Hall(2009): A pedagogical approach. Professor Hull in his textbook [Hull, J. C. Options, Futures, & Other Derivatives, Edition 7, Pearson, 2009] illustrates the determination of the credit default swap (CDS) spread by a numerical example. This paper follows the assumptions used by Professor Hull and provides a reduced form formula for the CDS spread. The CDS spread can be simplified by the Taylor series into a function of two variables, the default probability and the recovery rate. Rearranging this simplified formula, the default probability, expressed as the ratio of the CDS spread and the loss given default, is equivalent to the average default intensity, or, the hazard rate defined in Hull [2009, p.500].

year: 2010

title: Let's get connected: A new graph theory-based approach and toolbox for understanding braided river morphodynamics

authors: Connor-Streich, Gabriel

subjects: Science & Technology

abstract: Our understanding of braided river morphodynamics has improved significantly in recent years, however, there are still large knowledge gaps relating to both long‐term and event‐based change in braided river morphologies. Furthermore, we still lack methods that can take full advantage of the increasing availability of remotely sensed datasets that are well suited to braided river research. Network analysis based on graph theory, the mathematics of networks, offers a largely unexplored toolbox that can be applied to remotely sensed data to quantify the structure and function of braided rivers across nearly the full range of spatiotemporal scales relevant to braided river evolution. In this article, important commonalities between braided rivers and other types of complex network are described, providing a compelling argument for the wider uptake of complex network analysis methods in the study of braided rivers. We provide an overview of the extraction of graph representations of braided river networks from remotely sensed data and detail a suite of metrics for quantitative analysis of these networks. Application of these metrics as new tools for multiscale characterization of braided river planforms that improve upon traditional, spatially averaged approaches is discussed and potential approaches to network‐based analysis of braided river dynamics are proposed, drawing on a range of different concepts from braided river research and other network sciences. Finally, the potential for using graph theory metrics to validate numerical models of braided rivers is discussed.

text: Let's get connected: A new graph theory-based approach and toolbox for understanding braided river morphodynamics Our understanding of braided river morphodynamics has improved significantly in recent years, however, there are still large knowledge gaps relating to both long‐term and event‐based change in braided river morphologies. Furthermore, we still lack methods that can take full advantage of the increasing availability of remotely sensed datasets that are well suited to braided river research. Network analysis based on graph theory, the mathematics of networks, offers a largely unexplored toolbox that can be applied to remotely sensed data to quantify the structure and function of braided rivers across nearly the full range of spatiotemporal scales relevant to braided river evolution. In this article, important commonalities between braided rivers and other types of complex network are described, providing a compelling argument for the wider uptake of complex network analysis methods in the study of braided rivers. We provide an overview of the extraction of graph representations of braided river networks from remotely sensed data and detail a suite of metrics for quantitative analysis of these networks. Application of these metrics as new tools for multiscale characterization of braided river planforms that improve upon traditional, spatially averaged approaches is discussed and potential approaches to network‐based analysis of braided river dynamics are proposed, drawing on a range of different concepts from braided river research and other network sciences. Finally, the potential for using graph theory metrics to validate numerical models of braided rivers is discussed.

year: 2018

title: Measuring Wellbeing for Public Policy in a Bi-Cultural Nation: Update from Aotearoa New Zealand

authors: Weijers, Dan M.

abstract: A presentation at Measuring Wellbeing in a Multicultural World: An Interdisciplinary Workshop, Conference held at ANU, Canberra, Australia and online

text: Measuring Wellbeing for Public Policy in a Bi-Cultural Nation: Update from Aotearoa New Zealand A presentation at Measuring Wellbeing in a Multicultural World: An Interdisciplinary Workshop, Conference held at ANU, Canberra, Australia and online

year: 2023-08-11