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 process of fitting mathematical finance (MF) models for option pricing — known as calibration — is expensive because evaluating the pricing function usually requires Monte-Carlo sampling. Inspired by the success of deep learning for simulation, we present a hypernetwork based approach to...

Corporate financial management is the catalyst for strengthening financial information about an organization and improving financial policies and strategies for the profitability of the enterprise. Improving the usefulness of financial data requires the understanding and application of...

In this paper, some main eigenvalues and eigenvectors of the politics matrix are investigated. The number of upper-class families in a society is the number of eigenvalues which are very close to 1. An algorithm to identify all the upper-class families from the right and left eigenvectors of...

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...

Purpose - The purpose of this article is to show the gains that can be made if researchers were to use gain-probability (G-P) diagrams. Design/methodology/approach - The authors present relevant mathematical equations, invented examples and real data examples. Findings - G-P diagrams provide a...

Traditionally, Parisian ruin is said to occur when the insurer's surplus process has stayed below level zero continuously for a certain grace period. Inspired by this concept, in this paper we propose a modification by assuming that once a grace period has been granted when the surplus becomes...

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 presents a technique to find the solutions of algebraic equations taken away from the different combinatorics geometric series. This idea can enable the scientific researchers to solve the real life problems

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...

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...