The aim of this paper is to obtain the valuation formulas for European and barrier options if the underlying of the option contract is supposed to be driven by a fractional Brownian motion with Hurst parameter greater than 0.5. The paper is build upon the framework developed in Necula (2007) for...

This chapter introduces the reader to definitions and key properties of stochastic processes that are important in finance. The discussion starts from the description of Brownian motion that describes the idea of a continuous random walk and proceeds to Ito processes that incorporate both trend...

The relative income hypothesis suggests that an individual’s health is impacted by the income of others. However, prior studies suffer from mixed empirical findings that could be due to a lack of annual individual income data with sufficient sample size. We apply a new methodology to calculate...

Dynamic Programming (DP) is a useful but complex process of solving a management-related optimisation problem. Because of the complexity, especially in the Varying Input-Output Model (VIOM), many are very reluctant to teach and learn this topic, even at the tertiary education level. One of the...

Dynamic programming (DP) is a process of deriving an optimal solution to a mathematical problem that has an objective function and environmentally varying limitations. DP has some difficulties to set up structural equations as in other management science techniques. In this context, DP...

This paper explores spatial variability of the ten climatic variables of Mongolia in 2019: average minimal and maximal temperatures, wind speed, soil moisture, downward surface shortwave radiation (DSRAD), snow water equivalent (SWE), vapor pressure deficit (VPD), vapor pressure anomaly (VAP),...

The presented research aimed to perform geophysical modelling (gravity and geoid) and to evaluate the spatio-temporal variation of the marine geological data (distribution and depth of earthquakes) using combination of the Generic Mapping Tools (GMT) and available sources from the International...

The study is focused on the geomorphological analysis of the Guatemala Trench, East Pacific Ocean. Research goal is to find geometric variations in western and eastern flanks of the trench and correlation of the submarine geomorphology with geologic settings and seismicity through numerical and...

This research focuses on the analysis of the submarine geomorphology in the Mariana Trench located in west Pacific Ocean. The research question is to identify variations in the geomorphic form and bathymetry in different segments of the trench. Technically, the paper applies Python and R...

This paper introduces an application of R programming language for geostatistical data processing with a case study of the Mariana Trench, Pacific Ocean. The formation of the Mariana Trench, the deepest among all hadal oceanic depth trenches, is caused by complex and diverse geomorphic factors...