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20 Results

Optimization in a Simulation Setting: Use of Function Approximation in Debt Strategy Analysis

Staff Working Paper 2007-13 David Bolder, Tiago Rubin
The stochastic simulation model suggested by Bolder (2003) for the analysis of the federal government's debt-management strategy provides a wide variety of useful information. It does not, however, assist in determining an optimal debt-management strategy for the government in its current form.

An Empirical Analysis of the Canadian Term Structure of Zero-Coupon Interest Rates

Staff Working Paper 2004-48 David Bolder, Adam Metzler, Grahame Johnson
Zero-coupon interest rates are the fundamental building block of fixed-income mathematics, and as such have an extensive number of applications in both finance and economics.

A Stochastic Simulation Framework for the Government of Canada's Debt Strategy

Staff Working Paper 2003-10 David Bolder
Debt strategy is defined as the manner in which a government finances an excess of government expenditures over revenues and any maturing debt issued in previous periods. The author gives a thorough qualitative description of the complexities of debt strategy analysis and then demonstrates that it is, in fact, a problem in stochastic optimal control.

Exponentials, Polynomials, and Fourier Series: More Yield Curve Modelling at the Bank of Canada

Staff Working Paper 2002-29 David Bolder, Scott Gusba
This paper continues the work started by Bolder and Stréliski (1999) and considers two alternative classes of models for extracting zero-coupon and forward rates from a set of observed Government of Canada bond and treasury-bill prices.

Towards a More Complete Debt Strategy Simulation Framework

Staff Working Paper 2002-13 David Bolder
An effective technique governments use to evaluate the desirability of different financing strategies involves stochastic simulation. This approach requires the postulation of the future dynamics of key macroeconomic variables and the use of those variables in the construction of a debt charge distribution for each individual financing strategy.

Risk, Entropy, and the Transformation of Distributions

Staff Working Paper 2002-11 Mark Reesor, Don McLeish
The exponential family, relative entropy, and distortion are methods of transforming probability distributions. We establish a link between those methods, focusing on the relation between relative entropy and distortion.

Affine Term-Structure Models: Theory and Implementation

Staff Working Paper 2001-15 David Bolder
Affine models describe the stylized time-series properties of the term structure of interest rates in a reasonable manner, they generalize relatively easily to higher dimensions, and a vast academic literature exists relating to their implementation. This combination of characteristics makes the affine class a natural introductory point for modelling interest rate dynamics.

Steps in Applying Extreme Value Theory to Finance: A Review

Staff Working Paper 2000-20 Younes Bensalah
Extreme value theory (EVT) has been applied in fields such as hydrology and insurance. It is a tool used to consider probabilities associated with extreme and thus rare events. EVT is useful in modelling the impact of crashes or situations of extreme stress on investor portfolios.
Content Type(s): Staff research, Staff working papers Topic(s): Financial markets JEL Code(s): C, C0, C4, C5, G, G1
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