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...

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....

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...

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...

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...

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...

We extend the standard Cramér-Lundberg model to take the waiting time from occurrence to notification, and notification to settlement into account. Using this extended model and fixing a time of consideration, a prediction of the total outstanding liability of insurance claims that have...

A necessary condition for a dominance of prospect F over prospect G by all commonly employed investment criteria is E_F (x)≥E_G (x). Because of this requirement, optimal investment rules fail to distinguish between two alternative prospects where in practice one prospect is preferred over the...

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...

This dissertation provides a contribution to the option pricing literature by means of some recent developments in probability theory, namely the Malliavin Calculus and the Wiener chaos theory. It sheds new light on some old and complicated problems by means of these new techniques. It...

Uniswap V2 and Uniswap V3 are both examples of constant product automated market makers (CPAMMs). While Uniswap V2 is seen as the original and default CPAMM, Uniswap V3 decreased slippage by adding a price range input to concentrte liquidity inside the range or trade all to one asset outside of...

This paper introduces the probabilistic formulation of continuous-time economic models: forward stochastic differential equations (SDE) govern the dynamics of backward-looking variables, and backward SDEs capture that of forward-looking variables. Deep learning streamlines the search for the...