Macquarie University

About: Macquarie University is a education organization based out in Sydney, New South Wales, Australia. It is known for research contribution in the topics: Population & Context (language use). The organization has 14075 authors who have published 47673 publications receiving 1416184 citations. The organization is also known as: Macquarie uni.

The effect of participative budgeting on job satisfaction and performance: Role ambiguity as an intervening variable☆

Abstract: The results of studies into the effects of participative budgeting have been equivocal. This study seeks to explain the process by which participation in budget setting affects managers' performance and job satisfaction. A model is developed to show how role ambiguity acts as an intervening variable in the link between participation and outcome criteria. Empirical results indicate that budgetary participation acts indirectly, via role ambiguity, to influence job satisfaction and performance.

Adaptive signal processing algorithms: stability and performance

Abstract: PART I. 1. Introduction. 2. Offline Analysis. 3. Iterative Minimization. 4. Algorithm Construction. 5. Algorithm Analysis: Gaussian White Noise Setting. 6. Algorithm Analysis: Deterministic Global Theory. PART II. 7. Deterministic Averaging: Single Time Scale. 8. Deterministic Averaging: Mixed Time Scale. PART III. 9. Stochastic Averaging: Single Time Scale. 10. Stochastic Averaging: Mixed Time Scale. APPENDICES. A. Matrix Analysis Review. B. Stochastic Signals and Systems Review. C. Deterministic Signals and Systems Review. D. Mathematical Analysis Review. E. Probability Review. Bibliography. Index.

Pricing Options under Generalized GARCH and Stochastic Volatility Processes

Abstract: In this paper, we develop an efficient lattice algorithm to price European and American options under discrete time GARCH processes. We show that this algorithm is easily extended to price options under generalized GARCH processes, with many of the existing stochastic volatility bivariate diffusion models appearing as limiting cases. We establish one unifying algorithm that can price options under almost all existing GARCH specifications as well as under a large family of bivariate diffusions in which volatility follows its own, perhaps correlated, process. THROUGH AN EQUILIBRIUM ARGUMENT Duan (1995) shows that options can be priced when the dynamics for the price of the underlying instrument follows a General Autoregressive Conditionally Heteroskedastic (GARCH) process. The theory of pricing under such processes is now well understood; however, the design of efficient numerical procedures for pricing them is lacking. Most applications resort to large sample simulation methods with a variety of variance reduction techniques. The complexity of pricing arises from the massive path dependence inherent in GARCH models. This path dependence causes typical lattice-based procedures to grow exponentially in the number of time increments. The lack of efficient numerical schemes hinders empirical tests among the wide array of competing GARCH models. Most tests of GARCH models limit themselves to the use of high frequency data on spot assets, with little attention placed on the information content of options.1

Awareness of pattern and structure in early mathematical development

Abstract: Recent educational research has turned increasing attention to the structural development of young students’ mathematical thinking. Early algebra, multiplicative reasoning, and spatial structuring are three areas central to this research. There is increasing evidence that an awareness of mathematical structure is crucial to mathematical competence among young children. The purpose of this paper is to propose a new construct, Awareness of Mathematical Pattern and Structure (AMPS), which generalises across mathematical concepts, can be reliably measured, and is correlated with general mathematical understanding. We provide supporting evidence drawn from a study of 103 Grade 1 students.