PORTFOLIO OPTIMIZATION OF SMALL ENTERPRISES AGAINST ADVERSE CHANGES IN INTEREST RATE

51 PAGES (10789 WORDS) Actuarial Science Project

PORTFOLIO OPTIMIZATION OF SMALL ENTERPRISES AGAINST ADVERSE CHANGES IN INTEREST RATE

TABLE OF CONTENTSDECLARATION...........................................................................................................iiiACKNOWLEDGEMENT............................................................................................................iiii

DEDICATION.............................................................................................................................iiiv

LIST OF FIGURES ...vii

ABSTRACT…………………………………………………………………………………………….viii


CHAPTER ONE..............................................................................................................................3

Introduction......................................................................................................................................3

1.1 BACKGROUND OF STUDY...............................................................................................3

1.2 INTEREST RATE.................................................................................................................3

1.3 STATEMENT OF THE PROBLEM.....................................................................................3

1.4 OBJECTIVES OF THE STUDY...........................................................................................5

1.4.1 General Objectives..........................................................................................................3

1.4.2 Specific Objectives..........................................................................................................3

1.5 SIGNIFICANCE OF THE STUDY.......................................................................................3

1.6 LIMITATION OF THE STUDY...........................................................................................3

1.7 ASSUMPTIONS OF THE STUDY.......................................................................................7

1.8 THE SCOPE..........................................................................................................................7

1.9 DEFINITION OF TERMS.....................................................................................................71.10 LITERATURE REVIEW....................................................................................................8


CHAPTERTWO...........................................................................................................................13

REDINGTON IMMUNIZATION MODEL.................................................................................13

2.1 Introduction………………………………………………………………..……………13

2.1.1 Duration in a Portfolio...................................................................................................15

2.1.2 Convexity of a portfolio....................................................................................................16

2.2 GENERALIZATION OF THE MODEL.............................................................................18

2.2.1 General Application of the Model Application.......................................................20


CHAPTER THREE.......................................................................................................................22

3.1 DATA FINDINGS AND ANALYSIS...........................................................................22

3.2 DESCRIPTIVE STATISTICS........................................................................................22

vi3.2.1 Increase In Interest Rates..............................................................................................23

3.2.2 Decrease In Interest Rates.............................................................................................24         3.3 DISCUSSION OF FINDINGS .....................................................................................................29


CHAPTER FOUR    

4.1CONCLUSION AND RECOMMENDATIONS.................................................................324.1.1 INTRODUCTION............................................................................................................324.2 CONCLUSION....................................................................................................................344.3 RECOMMENDATIONS FOR THE STUDY.....................................................................344.4 AREAS FOR FURTHER RESEARCH...............................................................................34

REFERENCES..............................................................................................................................35APPENDICIES..............................................................................................................................38APPENDIX I: INTRODUCTORY LETTER............................................................................38

APPENDIX II: DATA COLLECTED.......................................................................................39APPENDIX III:FORMULAS AND R CODES USED42