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FINANCIAL MARKET COURSES

Indices, Exponents, Logarithms & Geometric Series

An understanding of some basic mathematical tools is crucial in order to have a solid grasp of financial concepts. Indices, exponents, logarithms, and geometric series, which are explained in this course, are some of the most basic and important tools employed in finance.

 

These mathematical concepts are particularly important in the context of calculating the price of capital market and derivative products. Among other things, this course will also help you to understand the logic behind calculating compound interest and present value, as well as showing how to compute the price of bonds and annuities.

  • OBJECTIVES

    On completion of this course, you will be able to:

    Ascertain the basic rules of indices

    Define the natural exponential function

    Calculate a logarithm using some basic rules, and understand that a logarithm is the reverse of an exponential function

    Describe geometric series, and calculate the sum of finite and infinite geometric series

  • COURSE OUTLINE

    Topic 1: Basic Rules of Indices

    What are Indices?

    Negative Indices

    Basic Rules

    Inverse & Reciprocal

    Indices in Practice

    Topic 2: The Natural Exponential Function

    What is the Natural Exponential Function?

    Normal Density Function

    Natural Exponential Function in Practice

    Topic 3: Logarithms

    What are Logarithms?

    Laws of Logarithms

    The Natural Logarithmic Function vs. the Exponential Function

    Logarithmic Functions

    Topic 4: Geometric Series

    What is a Geometric Series?

    The Sum of a Geometric Series

    The Sum of a Geometric Series - Applications to Bonds

    The Sum to Infinity of a Geometric Series

    The Sum to Infinity of a Geometric Series – Application to Annuities

  • PREREQUISITE KNOWLEDGE

  • ESTIMATED COMPLETED TIME

    75 minutes

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