Receipt from Henry Carlisle, Importer of Dry Goods and Millinery, St. Catharines for hats

Receipt from Henry Carlisle, Importer of Dry Goods and Millinery, St. Catharines for hats, Dec. 31, 1886.

Receipt from The Big 22, Dry Goods, Millinery and Mantles, St. Catharines

Receipt from The Big 22, Dry Goods, Millinery and Mantles, St. Catharines for payment on account, Jan26, 1887.

Receipt from McSloy Bros., St. Catharines for baked goods

Receipt from McSloy Bros., St. Catharines for baked goods, July 15, 1887.

Receipt from McSloy Bros., St. Catharines for baked goods

Receipt from McSloy Bros., St. Catharines for baked goods, Dec. 2, 1887.

Receipt from McSloy Bros., St. Catharines for baked goods

Receipt from McSloy Bros., St. Catharines for baked goods, Feb. 1888

Bill of Landing (copy) for packaged goods received at Port Hamilton

Bill of Landing (copy) for packaged goods received at Port Hamilton, Oct. 14, 1839.

Inventory of goods and chattels belonging to Samuel Wood and delivered to the Honourable William Dickson

Inventory of goods and chattels belonging to Samuel Wood and delivered to the Honourable William Dickson (double-sided, handwritten page), Dec. 10, 1828.

List of goods shipped to Henry Nelles of Grimsby by Gerrard, Gillespie and Moffat Co.

List of goods shipped to Henry Nelles of Grimsby by Gerrard, Gillespie and Moffat Co. of Montreal (6 ½ page list, handwritten) for blankets, food, clothing and other items Sept. 14, 1821.

List of goods including pots, food and nails ordered by Robert Nelles

List of goods including pots, food and nails ordered by Robert Nelles (2 ½ pages, handwritten). The item is stained and slightly torn, but legible, July 4, 1824.

Stress testing a complement of value-a-risk.

Rapport de stage (maîtrise en finance mathématique et computationnelle)

The Seemingly Unrelated Dynamic Cointegration Regression Model and Testing for Purching Power Parity.

This paper studies seemingly unrelated linear models with integrated regressors and stationary errors. By adding leads and lags of the first differences of the regressors and estimating this augmented dynamic regression model by feasible generalized least squares using the long-run covariance matrix, we obtain an efficient estimator of the cointegrating vector that has a limiting mixed normal distribution. Simulation results suggest that this new estimator compares favorably with others already proposed in the literature. We apply these new estimators to the testing of purchasing power parity (PPP) among the G-7 countries. The test based on the efficient estimates rejects the PPP hypothesis for most countries.

Multiple Public Goods and Lexicographic Preferences Replacement Principle.

We study the problem of locating two public goods for a group of agents with single-peaked preferences over an interval. An alternative specifies a location for each public good. In Miyagawa (1998), each agent consumes only his most preferred public good without rivalry. We extend preferences lexicographically and characterize the class of single-peaked preference rules by Pareto-optimality and replacement-domination. This result is considerably different from the corresponding characterization by Miyagawa (2001a).

Testing Normality : A GMM Approach

In this paper, we consider testing marginal normal distributional assumptions. More precisely, we propose tests based on moment conditions implied by normality. These moment conditions are known as the Stein (1972) equations. They coincide with the first class of moment conditions derived by Hansen and Scheinkman (1995) when the random variable of interest is a scalar diffusion. Among other examples, Stein equation implies that the mean of Hermite polynomials is zero. The GMM approach we adopted is well suited for two reasons. It allows us to study in detail the parameter uncertainty problem, i.e., when the tests depend on unknown parameters that have to be estimated. In particular, we characterize the moment conditions that are robust against parameter uncertainty and show that Hermite polynomials are special examples. This is the main contribution of the paper. The second reason for using GMM is that our tests are also valid for time series. In this case, we adopt a Heteroskedastic-Autocorrelation-Consistent approach to estimate the weighting matrix when the dependence of the data is unspecified. We also make a theoretical comparison of our tests with Jarque and Bera (1980) and OPG regression tests of Davidson and MacKinnon (1993). Finite sample properties of our tests are derived through a comprehensive Monte Carlo study. Finally, three applications to GARCH and realized volatility models are presented.

Testing Mean-Variance Efficiency in CAPM with Possibly Non-Gaussian Errors : An Exact Simulation-Based Approach

In this paper we propose exact likelihood-based mean-variance efficiency tests of the market portfolio in the context of Capital Asset Pricing Model (CAPM), allowing for a wide class of error distributions which include normality as a special case. These tests are developed in the frame-work of multivariate linear regressions (MLR). It is well known however that despite their simple statistical structure, standard asymptotically justified MLR-based tests are unreliable. In financial econometrics, exact tests have been proposed for a few specific hypotheses [Jobson and Korkie (Journal of Financial Economics, 1982), MacKinlay (Journal of Financial Economics, 1987), Gib-bons, Ross and Shanken (Econometrica, 1989), Zhou (Journal of Finance 1993)], most of which depend on normality. For the gaussian model, our tests correspond to Gibbons, Ross and Shanken’s mean-variance efficiency tests. In non-gaussian contexts, we reconsider mean-variance efficiency tests allowing for multivariate Student-t and gaussian mixture errors. Our framework allows to cast more evidence on whether the normality assumption is too restrictive when testing the CAPM. We also propose exact multivariate diagnostic checks (including tests for multivariate GARCH and mul-tivariate generalization of the well known variance ratio tests) and goodness of fit tests as well as a set estimate for the intervening nuisance parameters. Our results [over five-year subperiods] show the following: (i) multivariate normality is rejected in most subperiods, (ii) residual checks reveal no significant departures from the multivariate i.i.d. assumption, and (iii) mean-variance efficiency tests of the market portfolio is not rejected as frequently once it is allowed for the possibility of non-normal errors.

Testing for a Unit Root in Panels with Dynamic Factors

This paper studies testing for a unit root for large n and T panels in which the cross-sectional units are correlated. To model this cross-sectional correlation, we assume that the data is generated by an unknown number of unobservable common factors. We propose unit root tests in this environment and derive their (Gaussian) asymptotic distribution under the null hypothesis of a unit root and local alternatives. We show that these tests have significant asymptotic power when the model has no incidental trends. However, when there are incidental trends in the model and it is necessary to remove heterogeneous deterministic components, we show that these tests have no power against the same local alternatives. Through Monte Carlo simulations, we provide evidence on the finite sample properties of these new tests.