I. INTRODUCTION AND REVIEW OF PREREQUISITE TOPICS
All students enrolled in Economics of Derivatives should ensure that
they have adequate preparation in introductory mathematics,
particularly matrix mathematics and calculus, including differential
and integral calculus.
A review of the basic
mathematics, including exercises, needed for this course is
available in pdf format.
Students should make certain that they are comfortable with the
material in this review
before the end of the first week of class. If a student feels unready
to handle mathematics at this level and still wishes to complete this
course,
even more basic reading material in math follows below. A discussion for
using a
spreadsheet for multiplying and inverting matrices is available here.
If the review above for this course seems to advanced for you,
consider starting with a more elementary review of prerequisite very
basic quantitative material below:
2 Review of Elementary Mathematics:
Functions and Operations
2.A Introduction
2.B Variables, Equations and Inequalities
2.C Exponents
Application
2.1 Interest and Future Value
2.D Order of Arithmetic Operations and Rules
of Algebra
Application 2.2
Initial Deposit Amounts
2.E The Number e
2.F Logarithms
Application
2.3 Time Needed to Double One’s Money
2.G Subscripts
2.H Summations
Application
2.4 Mean Values
2.I Double Summations
2.J Products
Application
2.5 Geometric Mean Return
Application
2.6 The Term Structure of Interest Rates
2.K Factorial Products
Application
2.7 Deriving the Number e
2.L Permutations and Combinations
Exercises
Appendix 2.A An Introduction to the Excel Spreadsheet
3 Review of Elementary
Mathematics:
Algebra and Solving Equations
3.A Algebraic Manipulations
Application
3.1 Purchase Power Parity
Application
3.2 Finding Break-Even Production Levels
Application
3.3 Spot and Forward Interest Rates
3.B The Quadratic Formula
Application
3.4 Finding Breakeven Production Levels
Application
3.5 Finding the Perfectly Hedged Portfolio
3.C Solving Systems of Equations Containing
Multiple Variables
Application
3.6 Pricing Factors
Application
3.7 External Financing Needs
3.D Geometric Expansions
Application
3.8 Money Multipliers
3.E Functions and Graphs
Application
3.9 Utility of Wealth
Exercises
Appendix 3.A Solving Systems of Equations on a Spreadsheet
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