Application of PDEs in financial mathematics – Complete Phd and Masters Thesis

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Table of Contents

Chapter 1: Introduction
1.1 Background of the Study
1.2 Objective of the Study
1.3 Limitation of the Study
1.4 Scope of the Study

Chapter 2: Literature Review
2.1 Overview of Financial Mathematics
2.2 Partial Differential Equations in Financial Mathematics
2.3 Previous Studies on Application of PDEs in Financial Mathematics

Chapter 3: Research Methodology
3.1 Data Collection Methods
3.2 Data Analysis Techniques
3.3 Model Development and Implementation

Chapter 4: Discussion of Findings
4.1 Analysis of Results
4.2 Interpretation of Results
4.3 Implications of Findings

Chapter 5: Conclusion and Summary
5.1 Summary of Findings
5.2 Conclusions
5.3 Recommendations for Future Research

Brief Overview:

The thesis on the Application of Partial Differential Equations (PDEs) in financial mathematics explores the use of mathematical models to analyze and predict financial markets. This study aims to understand how PDEs can be applied to financial data to make informed decisions in investment and risk management.

The introduction provides background information on financial mathematics and the significance of using PDEs in this field. The objective of the study is to examine the effectiveness of PDEs in predicting financial trends and risks. The limitations of the study include data availability and model accuracy. The scope of the study focuses on analyzing historical financial data and implementing PDE models to make predictions.

The literature review delves into the theoretical framework of financial mathematics and the role of PDEs in modeling financial systems. Previous studies on the application of PDEs in financial mathematics provide a basis for the research methodology, which includes data collection, analysis, and model development.

The discussion of findings examines the results of the study and their implications for financial decision-making. The conclusion and summary highlight the key findings, conclusions, and recommendations for future research in this area.

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