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...

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...

Value-at-Risk (VaR) has been widely promoted by the Bank for International Settlement (BIS) as well as central banks of all countries as a way of monitoring and managing market risk and as a basis for setting regulatory minimum capital standards. The revised Basle Accord, implemented in January...

This paper presents a new modelling framework for day–ahead electricity prices based on multivariate Lévy semistationary (MLSS) processes. Day–ahead prices specify the prices for electricity delivered over certain time windows on the next day and are determined in a daily auction. Since...

The Black Scholes Model (BSM) is one of the most important concepts in modern financial theory both in terms of approach and applicability. The BSM is considered the standard model for valuing options; a model of price variation over time of financial instruments such as stocks that can, among...

We propose two tests for the equality of covariance matrices between two high-dimensional populations. One test is on the whole variance-covariance matrices, and the other is on offdiagonal sub-matrices which define the covariance between two non-overlapping segments of the high-dimensional...

Motivated by the latest effort to employ banded matrices to estimate a high-dimensional covariance Σ , we propose a test for Σ being banded with possible diverging bandwidth. The test is adaptive to the “large p , small n ” situations without assuming a specific parametric distribution for...

Thinking about the development of the unifying mathematical approach to solve the problem on the evaluation of market risk of the global equity index portfolio in the highly volatile global capital markets, the authors focus their attention to an increasing necessity of application of the...

In Albers & Albers (Spring, 2013) we demonstrated that the historic development of U.S. real GNP, 1869-present, may be structured in recurring 14-year periods. A steady-state rate of growth of 3.4969% is thereby calculated, generating an increase in real GNP proportional to the famous “Golden...

This volume – Predicting Crisis: Five Essays on the Mathematic Prediction of Economic and Social Crises – is the first of three sets of essays. In this first set the economic and social history of the United States is shown to be a “system of movement,” i.e. a logical and mathematic...