# Actuarial Science Research Papers/Topics

##### Deterministic mathematical model for fish harvesting

Abstract/Overview Differential equations have been used to create mathematical models of real world systems in which rates of change are involved, for example in the study of how population grows or shrinks. One of the earliest models by Thomas Malthus has been found to be unrealistic since it predicts that population will grow exponentially and without bound – a prospect that defies physical limitations. Verhulst in his logistic population model developed a generalized version of the M...

10 PAGES (4765 WORDS)
##### Mathematical modelling of HIV infection

Abstract/Overview We formulate a deterministic mathematical model for the HIV/AIDS.

11 PAGES (5199 WORDS)
##### Mathematical model for co-infection of HIV/AIDS and pneumonia with treatment

Abstract/Overview Pneumonia occurs commonly in HIV-infected patients. In this paper, we study a simple mathematical model for the co-infection of HIV/AIDS and Pneumonia. We establish that the model is well presented epidemiologically and mathematically. The disease-free equilibrium point is determined. We establish the basic reproduction number R0 for the model, which is a measure of the course of co-infection.

6 PAGES (2497 WORDS)
##### Optimal Allocation in Double Sampling for Stratification in the Presence of Nonresponse and Measurement Errors

Abstract/Overview The present study addresses the problem of minimum cost and precision in the estimation of the population mean in the presence of nonresponse and measurement errors. It is assumed that both the survey variable and the auxiliary variable suffer from nonresponse and measurement errors in the second phase sample. A ratio, exponential ratio-ratio type, and exponential product-ratio type estimators of the population mean are proposed using the information on a single auxiliar...

8 PAGES (4678 WORDS)
##### Volatility Estimation Using European-Logistic Brownian Motion with Jump Diffusion Process

Abstract/Overview Volatility is the measure of how we are uncertain about the future of stock or asset prices. Black-Scholes model formed the foundation of stock or asset pricing. However, some of its assumptions like constant volatility and interest among others are practically impossible to implement hence other option pricing models have been explored to help come up with a much reliable way of predicting the price trends of options. The measure of volatility and good forecasts of futu...

9 PAGES (4509 WORDS)
##### Lie Symmetry Analysis of Modified Diffusive Predator-prey Competition System of Equations

Abstract/Overview In this paper, a nonlinear fourth order evolution equation is investigated by the Lie symmetry analysis approach. All the geometric vector fields and the Lie groups of the evolution equation are obtained. Finally, the symmetry reduction and the exact solutions of the equation are obtained by means of power series method.

7 PAGES (5188 WORDS)
##### Formulating Black Scholes Equation Using a Jump Diffusion Heston’s Model

Abstract/Overview In modern financial mathematics, accurate values are obtained by taking into account a considerable number of more realistic assumptions in logistic Black Scholes equation. The aspects considered here are cost of transactions in trading, perfect illiquid markets and risks that occur from non – protected portfolio or large investments that have a lot of impact on price of the assets, volatility, the percentage drift and the life of the portfolio itself. In modern world ...

6 PAGES (3243 WORDS)
##### On Certain Spaces of Ideal Operators

Abstract We determine some important spaces of ideal operators and ideal characteristics. Special consideration is given to Frechet spaces, Spaces of finite rank operators and spaces of Hahn-Banach extension operators. The characteristics of ideals and related properties in these spaces as well as in some of their dual spaces are obtained.

17 PAGES (12467 WORDS)
##### The Actuarial Conditions for the Valuation of Pension Liability to Become Zero Under Minimum Funding Standard Architecture

Abstract Pension  valuation  exercises  for  a  defined  benefit  scheme  requires  an  appraisal  of  both  the  schemes  assets  and  its  liabilities  in  different  circumstances.  The  valuations  are  required  to  comply  with  regulatory standards, most notably the minimum funding standard. The objectives of this study are: (i) to compute  the  estimate  of  minimum  funding  standard  of  pension  liability  (ii)  to  establish  the  actuari...

18 PAGES (7290 WORDS)
##### A Mathematical Technique of Computing Technical Provisions and Premiums in General Business Insurance Under the Influence of Chain-Ladder and Cape Cod Framework

ABSTRACT An insurance company promises its policyholders to pay out benefits if certain events occur, for example, events such as a car accident and health conditions. When this is happens, the insurance company has a liability to pay the claims by technical provisions or claim reserving. The calculation of claim reserving must be done carefully in such a way that it should not cause loss to the company. Two of the common methods to calculate technical provisions in non-life insurance are the...

102 PAGES (20851 WORDS)
##### Neuroprotective Potential of Lantana Trifolium Ethanolic Extract Against Ethambutol Induced Changes in the Optic Nerve

ABSTRACT Introduction: Ethambutol (EMB) has been discovered as an anti-tuberculosis drug since 1960, and is now very important in treatment of multidrug resistant tuberculosis which is on a rise due to emergence of Human Immunodeficiency Virus. However, EMB has been associated with severe side effects including optic neuropathy with no preventive and treatment measures. Purpose: To establish the protective potential of Lantana trifolium ethanolic extract against EMB induced optic nerve change...

56 PAGES (14720 WORDS)
##### A Framework For Adoption Of Use Of Interactive White Board System In Distance Learning At Universities: The Case Study Of Kampala International University

Table of ContentsDeclaration iApproval iiAcknowledgements iiiTable of Contents ivList of Tables viiList of Figures viiiList of Abbreviations ixDefinition of Terms xAbstract xiCHAPTER ONE 1INTRODUCTION 11.0 Introduction 11.1 Background of the Study 11.2 Problem of Statement 11.3 Purpose of the study 21.4 Objectives of the study 21.4.1 General Objectives 21.4.2 Specific Objectives 21.5 Research Questions 21.6 Scope of the study 21.7 Significance of the Study 31.8 Conceptual framework 3CHAPTER T...

61 PAGES (12695 WORDS)
##### Stochastic Modeling of Stock Prices On the Ghana Stock Exchange

ABSTRACT Financial models today rely on assumptions that make them insufficient in many real cases. The Geometric Brownian Motion model is assumed as a process for stock prices frequently. The study examined whether the behavior of weekly and monthly returns series of some selected equities listed on the Ghana Stock Exchange can be modeled with the Geometric Brownian Motion(GBM). The Augmented Dickey Fuller, Shapiro-Wilk, Ljung-box and some graphical methods are some statistical methods used...

109 PAGES (17302 WORDS)
##### Estimating Insurance Loss Distributions in General Insurance Contracts: A Case Study in Ghana

Insurance loss modeling concerns the prediction of future claims from policyholders in different risk classes based on past observations of claims made by the policyholders in these classes.It is a fundamental branch of Actuarial science and one of the cornerstones in general insurance contracts.Loss modeling and its variations have been widely studied by researchers in actuarial science and successfully applied by practisioners. Perhaps one of the most well-known theories along this line is ...

123 PAGES (24187 WORDS)
##### Speciation Of Cadmium And Lead In Soils From Open-Air Motor Vehicle Workshop In Nairobi And Levels In Nearby Vegetables And Stream

ABSTRACT The presence of toxic metals such as lead and Cadmium in the environment has been a source of worry to environmentalists, government agencies and health practitioners. This is mainly due to their health implications since they are non-essential metals. Heavy metals are associated with various soil components in various ways and the various associations can determine the reactivity, mobility and bioavailability of the metals. The primary objective of the present study was to determine...

87 PAGES (17546 WORDS)

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