In the dual risk model, while the ultimate ruin probability has an exact and straightforward formula, the mathematics becomes significantly more complex when considering a finite time horizon, and the literature on this topic is scarce. As a result, there is a need for numerical approximations....

Mathematical skills underpin logical thinking, financial literacy and informed decision-making in a technology-driven world. They foster problem-solving, critical thinking and prudent risk-taking, and boost career prospects. Low numerical proficiency limits engagement in science, technology,...

Mathematical skills underpin logical thinking, financial literacy and informed decision-making in a technology-driven world. They foster problem-solving, critical thinking and prudent risk-taking, and boost career prospects. Low numerical proficiency limits engagement in science, technology,...

Machine learning applications in finance commonly employ feature decorrelation techniques developed for generic statistical problems. We investigate whether this practice appropriately addresses the unique characteristics of financial data, where correlations often encode fundamental economic...

We propose inventory replenishment and lateral transshipment policies for a distribution network. The distribution centers place weekly regular orders and daily urgent orders to the factory. Two classes of stochastic demands, pre-ordered and peddling, cause either backlogging or lost sales when...

In today's complex financial markets, "Algorithmic Trading" has become very important. The study delves into the amalgamation of four pivotal indicators - Relative Strength Index (RSI), Exponential Moving Average (EMA), Volume-Weighted Average Price (VWAP), and Moving Average...

Variable annuities (VAs) and other long-term equity-linked insurance products are typically difficult to hedge in the incomplete markets. A state-dependent fee tied with market volatility for VAs is designed to contribute the risk-sharing mechanism between policyholders and insurers. Different...

Market turnover levels and liquidity changes across various territories significantly influence currency prices, leading to continuous fluctuations. Consequently, traders and investors constantly seek strategies to mitigate exchange rate risks. This study aimed to measure and assess foreign...

"This book explains the types of barrier options that are widely traded in Over-the-Counter (OTC) markets and secondary markets. The main objective of the book is to analyze the basic pricing formulae of the different types of barrier options and to produce comprehensive, detailed and...

Cover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Contents -- 1. Introduction: what can quantitative finance bring to sustainable finance? -- 1.1. Modeling approaches -- 1.2. Model governance and model validation -- 1.3. Risk assessment and stress testing -- 1.4. Portfolio...

The purpose of this study is to produce valid mathematical modeling tasks using parking fees for learning mathematical modeling in SMK. This study used a research development approach by Akker, Gravemeijer, McKenney and Nieveen. This research consists of 3 stages, namely analysis, design and...

In the pursuit of understanding collective intelligence, the Hong-Page Theorems have been presented as cornerstones of the interplay between diversity and ability. However, upon rigorous examination, there seem to be inherent flaws and misinterpretations within these theorems. Hélène...

This paper applies a multi-input production function to derive the simultaneous impact of internalizing some external economies or diseconomies. While it demonstrates the powerful impact of internalizing external economies, it shows that external diseconomies are absolutely unacceptable. When...

Externality means something from outside, so it requires a different mathematics from the standard theory of the firm. One alternative is offered by James E. Meade, but it contains, at least, three mistakes. Mathematics is supposed to be precise and its handling disciplinary, but Meade’s...

In the landmark article [MSTW17], Müller et. al. introduced the notion of fractional stochastic dominance (SD) to interpolate between first and second SD relations. In this article, we introduce a novel family of multi-fractional stochastic orders that generalizes fractional SD in a natural...

This article exclusively formulates and presents three innovative hypotheses related to the execution of share buybacks, employing Genetic Algorithms (GAs) and mathematical optimization techniques. Drawing on the foundational contributions of scholars such as Osterrieder, Seigne, Masters, and...

This note gives a simple derivation of the Taylor series approximation to annuity payments without using differential calculus. Additionally we give the similar approximation to the yield/APR in an annuity contract. These approximations are demonstrated both numerically and graphically

We survey the nascent literature on machine learning in the study of financial markets. We highlight the best examples of what this line of research has to offer and recommend promising directions for future research. This survey is designed for both financial economists interested in grasping...

We survey the nascent literature on machine learning in the study of financial markets. We highlight the best examples of what this line of research has to offer and recommend promising directions for future research. This survey is designed for both financial economists interested in grasping...

A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas. The Common Core State Standards for Mathematics (CCSS-M) include both content standards and standards for mathematical practice (SMP). In...

Investigating the base ground of economic growth as a mathematical model is an essential economic issue. Every economic entity does economic behaviors to maximize its goal, total utility, in a given time. By bringing out the premises of the game theory, market participants, transactions, and...