Traditional business cycle indicators do not capture much of the large cyclical variation in factor returns. Major turning points of factors seem to be caused by abrupt changes in investor sentiment instead. We infer a Quant Cycle directly from factor returns, which consists of a normal stage...

In recent years, a school of economics called MMT (Modern Monetary Theory) has been attracting attention, but it has not been analyzed theoretically or mathematically. This study aims to provide a theoretical basis for the skeleton of the MMT argument, while maintaining the basics of the...

The main aim of this work is the development of mathematical model, which describes the dynamics of mass product output on the manufactures. This model gives an opportunity to find out the conditions for stable work of manufacture and the conditions for optimal operation. At present in the...

Before the use of mathematics in economics was generalized, mathematical and nonmathematically trained economist lived together. This paper studies this period of cohabitation. By focusing on the communication challenges between these two groups during the 1940s, 1950s, and 1960s, a watershed...

In recent years, a school of economics called MMT (Modern Monetary Theory) has been attracting attention, but it has not been analyzed theoretically or mathematically. This study aims to provide a simple theoretical basis for the skeleton of the MMT argument, while maintaining the basics of the...

We study the effects of quantitative equity investing, an increasingly popular investment style, on financial market quality. Within a noisy REE model of strategic speculation with two informed market participants, we define discretionary investing as fully strategic trading and quantitative...

This paper examines the uniqueness and learnability of rational expectations equilibrium when the policy rate is occasionally pegged at the zero lower bound (ZLB). We consider a model that features recurring, transient ZLB regimes and compare various interest rate rules which respond to...

To cope with the negative oil futures price caused by the COVID-19 recession, global commodity futures exchanges switched the option model from Black-Scholes to Bachelier in April 2020. This study reviews the literature on Bachelier's pioneering option pricing model and summarizes the practical...

Corporate social responsibility (CSR), as a concept that tackles economic, The introduction of private pension funds is the essence of the reform of the pension system in Serbia. Private pension funds in Serbia are based on voluntary benefits. Thus, the functioning of the pension system takes...

The need to assess the risks of the trustworthiness of counterparties is increasing every year. The identification of increasing cases of unfair behavior among counterparties only confirms the relevance of this topic. The existing work in the field of information and economic security does not...

A mathematical model for the hit phenomenon in entertainment within a society is presented as a stochastic process of interactions of human dynamics. The calculations for the Japanese motion picture market based on to the mathematical model agree very well with the actual residue distribution in...

Machine learning models are increasingly used in a wide variety of financial settings. The difficulty of understanding the inner workings of these systems, combined with their wide applicability, has the potential to lead to significant new risks for users; these risks need to be understood and...

We propose and estimate a model of demand and supply of annuities. To this end, we use rich data from Chile, where annuities are bought and sold in a private market via a two-stage process: first-price auctions followed by bargaining. We model firms with private information about costs and...

We propose and estimate a model of demand and supply of annuities. To this end, we use rich data from Chile, where annuities are bought and sold in a private market via a two-stage process: first-price auctions followed by bargaining. We model firms with private information about costs and...

This research applies Econophysics under the special theory of relativity, the general theory of relativity, and the black holes to evaluate the COVID-19 economic damage. This paper is divided into three sections. The first section proposes applying the special theory of relativity to assess the...

In this writing, fair pricing models for stocks are derived based on probability theory. The models are validated by US stock market 5-minute mid-quote to mid-quote reversion, not due to bid and ask bouncing, with theoretical values highly close to market observed ones. The relationship between...

The paper introduces a simple way of recording and manipulating general stochastic processes without explicit reference to a probability measure. In the new calculus, operations traditionally presented in a measure-specific way are instead captured by tracing the behaviour of jumps (also when no...

This paper discusses portfolio construction for investing in N given assets, e.g. constituents of the Dow Jones Industrial Average (DJIA) or large cap stocks, which is based on partitioning the investment universe into clusters. The clusters are determined from the trailing correlation matrix...

In this paper, we investigate the following problem: How can a financial institution, which has sold an option to a client, optimally hedge the payoff of this option by investing into a stock and into the option itself? Optimality is measured in terms of minimal variance and the associated...

The topics studied in this Special Issue include a wide range of areas in finance, economics, tourism, management, marketing, and education. The topics in finance include stock market, volatility and excess returns, REIT, warrant and options, herding behavior and trading strategy, supply...

This book, Applications of Operational Research and Mathematical Models in Management, includes all the papers published in the Mathematics Special Issue with the same title. All the published papers are of high quality and were subjected to rigorous peer review. Mathematics is included in the...

Mathematical finance plays a vital role in many fields within finance and provides the theories and tools that have been widely used in all areas of finance. Knowledge of mathematics, probability, and statistics is essential to develop finance theories and test their validity through the...

This paper examines E-stability, determinacy, and indeterminacy in a general class of regime-switching models with lagged endogenous variables. Using determinacy conditions from Cho (2016, 2020), our first result extends McCallum (2007) to models with time-varying parameters: the unique...

We propose an inference procedure for estimators defined by mathematical programming problems, focusing on the important special cases of linear programming (LP) and quadratic programming (QP). In these settings, the coefficients in both the objective function and the constraints of the...

We develop a simple mathematical version of Garrison's model. The purpose to develop a mathematical framework is to (1) show how such representation can be used and (2) layout a path for future work that requires a more flexible version of Garrison's treatment than the graphical exposition....

Trading option strangles is a highly popular strategy often used by market participants to mitigate volatility risks in their portfolios. In this paper we propose a measure of the relative value of a delta-Symmetric Strangle and compute it under the standard Black-Scholes option pricing model....

This paper completes my previous paper "A Revision of the Theory of Perfect Competition and of Value" with a more global analysis of the mathematical mistakes of the neoclassical theory. During the second half of the twentieth century Microeconomic theory moved increasingly away from price...

This paper is a short introduction to the essentials in Mathematics for Economic modeling. Analytical modeling frequently uses key mathematical tools and this work is an attempt at summarizing and giving intuitions regarding these basic concepts

The paper contends that neoclassical ideology stems, to a great extent, from mathematical analysis. It is suggested that mainstream economic thought can be comprehensively revisited if both histories of mathematical and economic thought are to be taken collaboratively into account. Ideology is...

In a one price economy, the Fundamental Theorem of Asset Pricing (FTAP) establishes that no-arbitrage is equivalent to the existence of an equivalent martingale measure. Such an equivalent measure can be derived as the normal unit vector of the hyperplane that separates the attainable gain...

Purpose - The purpose of this paper is to explore the concept of pensionomics as a prospective tool for pension evaluation. This paper suggests a paradigm shift - a multi-disciplinary synthesis of differing perspectives in evaluating pension's overall performance based on past work on pension...

The topics studied in this Special Issue include a wide range of areas in finance, economics, tourism, management, marketing, and education. The topics in finance include stock market, volatility and excess returns, REIT, warrant and options, herding behavior and trading strategy, supply...

Before the use of mathematics in economics was generalized, mathematical and nonmathematically trained economist lived together. This paper studies this period of cohabitation. By focusing on the communication challenges between these two groups during the 1940s, 1950s, and 1960s, a watershed...

This paper examines the impact of the parameters of the distribution of the time at which a bank’s client defaults on their obligated payments, on the Lundberg adjustment coefficient, the upper and lower bounds of the ruin probability. We study the corresponding ruin probability on the...

Financial Reynolds number (Re) has been proven to have the capacity to predict volatility, herd behaviour and nascent bubble in any stock market (bourse) across the geographical boundaries. This study examines forty two bourses (representing same number of countries) for the evidence of the...

This paper considers the risk model perturbed by a diffusion process with a time delay in the arrival of the first two claims and takes into account dependence between claim amounts and the claim inter-occurrence times. Assuming that the time arrival of the first claim follows a generalized...

Blockchain technology has a significant impact in multiple fields. Bitcoin was the first of its applications to rise to widespread attention. Due to its source code being publicly available (open source), it was followed quickly by a number of other cryptocurrencies as developers caught on to...

Preface AuthorSymbols and Abbreviations 1. Mathematical Foundations 1 2. Mathematical Foundations 2 3. Mathematical Foundations 3 4. Mathematical Foundations 4 5. Global and Local Extrema of Real-Valued Functions 6. Global Extrema of Real-Valued Functions 7. Local Extrema of Real-Valued...