DSC1630 | Introductory Financial Mathematics
Master key financial concepts and improve your money management skills. This course equips you with essential mathematical tools to make informed financial decisions.
Handout: Lecture Notes
Lesson 1: Basic Terminology and Drawing Timelines
Handout: Getting to Know your HPbII+ Financial Calculator
Handout: Getting to Know your SHARP EL-738F Financial Calculator
Lesson 2: Help!!! How do I Cope with the Maths behind Rearranging Formulae?
Lesson 3: Class Examples 1 and 2 - Solving Equations with Numbers
Lesson 4: Class Examples 3 and 4 - Solving Equations with Variables
Lesson 5: Class Example 5 - Using ln to Solve an Equation with Variables
Lesson 6: Class Example 6 - Using ln to Solve an Equation with Numbers
Lesson 7: Summary of Mathematical Rules Used throughout this Course
Handout: SU2 - Lecture Notes
Lesson 1: Illustrative Example - Simple versus Compound Interest
Lesson 2: What is Simple Interest?
Lesson 3: Class Example - Calculating Simple Interest and Sum Accumulated
Lesson 4: Class Example - Calculating the Simple Interest Rate
Lesson 5: What is Simple Discount?
Lesson 6: Class Example - Calculating Simple Discount, Discounted Value and the Equivalent Simple Interest Rate
Lesson 7: Class Example - Calculating the Equivalent Simple Interest Rate
Lesson 8: How do I Determine the Number of Days between any Two Dates using a Counting Days Table?
Lesson 9: Class Example - Simple Discount involving Counting Days
Lesson 10: Time Value of Money
Lesson 11: Class Example - The Value of a Debt on Different Dates
Lesson 12: Class Example - Rescheduling Debts
Handout: SU3 - Lecture Notes
Lesson 1: Illustrative Example - Sarah's Loan
Lesson 2: The Compound Interest Formula
Lesson 3: Where does the Compound Interest Formula Come From?
Lesson 4: Class Example - Calculating Future Value
Lesson 5: Class Example - Calculating Present Value
Lesson 6: Class Example - Calculating the Interest Rate
Lesson 7: Class Example - Calculating the Number of Compounding Periods
Lesson 8: Doing Compound Interest Calculations using the Financial Keys on an HPbII+ Calculator
Lesson 9: Doing Compound Interest Calculations using the Financial Keys on a SHARP EL-738F Calculator
Handout: Compound Interest Examples Showing HPbII+ Financial Keys
Handout: Compound Interest Examples Showing SHARP EL-738F Financial Keys
Lesson 10: Converting Between Nominal and Effective Interest Rates
Lesson 11: Where do the Conversion Formulae Come From?
Lesson 12: Class Example: Converting One Nominal Rate to Another Nominal Rate
Handout: Conversion Examples Showing HPbII+ Financial Keys
Handout: Conversion Examples Showing SHARP EL-738F Financial Keys
Lesoon 13: What do we Mean by an Odd Period?
Lesson 14: Class Example - Doing Odd Period Calculations using Simple Interest
Student note: Lesson 14 - Correction
Lesson 15: Class Example - Doing Odd Period Calculations using Fractional Compounding
Handout: Odd Period Example with Fractional Compounding Showing HPbII+ Financial Keys
Handout: Odd Period Example with Fractional Compounding Showing SHARP EL-738F Financial Keys
Lesson 16: Background to Continuous Compounding
Lesson 17: Class Example - Calculating Future Value using Continuous Compounding
Lesson 18: Converting between Continuous and Effective or Nominal Interest Rates
Lesson 19: Where do the Continuous Conversion Formulae Come From?
Lesson 20: Class Example - Using Continuous Rates to Compare Investment Options
Lesson 21: A Recap of Time Value of Money and Equations of Value
Lesson 22: Class Example - Rescheduling Debts with Compound Interest
Lesson 23: Class Example - Rescheduling Debts with More than One Interest Rate and Two Unknown Payments
Handout: SU4 - Lecture Notes
Lesson 1: Illustrative Example - Sarah's Savings
Lesson 2: An Overview of the Types of Annuities
Lesson 3: Future Value and Present Value Ordinary Annuity Certain Formulae
Lesson 4: Where do the Ordinary Annuity Certain Formulae Come From?
Lesson 5: Class Example - Calculating the Future Value of an Ordinary Annuity Certain
Handout: Ordinary Annuity Certain Example Showing HPbII+ Financial Keys
Handout: Ordinary Annuity Certain Example Showing SHARP EL-738F Financial Keys
Lesson 6: Adapting the Annuity Formulae for Annuities Due
Lesson 7: Class Example - Calculating the Present Value of an Annuity Due
Handout: Annuity Due Example Showing HPbII+ Financial Keys
Handout: Annuity Due Example Showing SHARP EL-738F Financial Keys
Lesson 8: What Happens when Payments Only Start Later?
Lesson 9: Class Example - Calculating the Present Value of a Deferred Annuity
Lesson 10: Class Example - Calculating the Payments of a Deferred Annuity
Handout: Deferred Annuity Examples Showing HPbII+ Financial Keys
Handout: Deferred Annuity Examples Showing SHARP EL-738F Financial Keys
Lesson 11: What Happens when Payments Carry on Forever?
Lesson 12: Class Example - Calculating the Present Value of a Perpetuity
Lesson 13: What Happens when the Payment Periods do Not Match the Interest Periods?
Lesson 14: Class Example - Calculating the Future Value of a General Annuity
Handout: General Annuity Example Showing HPbII+ Financial Keys
Handout: General Annuity Example Showing SHARP EL-738F Financial Keys
Lesson 15: What Happens when Payments Increase?
Lesson 16: Where does the Increasing Annuity Formula Come From?
Lesson 17: Class Example - Calculating the Future Value of an Increasing Annuity
Lesson 18: Class Example - Rearranging the Increasing Annuity Formula
Handout: SU5 - Lecture Notes
Lesson 1: Illustrative Example - Sarah Buys an Apartment
Lesson 2: What is an Amortisation Schedule?
Lesson 3: Illustrative Example - Drawing Up an Amortisation Schedule
Lesson 4: Excel Example - Drawing Up an Amortisation Schedule in Excel
Excel Spreadsheet: Amortisation Schedule Template
Lesson 5: Class Example - Calculating Unknowns Within an Amortisation Schedule
Lesson 6: The Relationship between Buyer's Equity and Seller's Equity
Lesson 7: Class Example - Sarah's Buyer's Equity
Lesson 8: Class Example - Should I Buy the House or Not? A more Complex Type of Annuity Problem
Lesson 9: Class Example - How does a Changing Interest Rate Affect Payments?
Lesson 10: What is the Total Real Cost of a Loan?
Lesson 11: Class Example PART A - Calculating Total Real Cost
Lesson 12: Class Example PART B - Calculating Total Real Cost
Lesson 13: Class Example PART C - Calculating Total Real Cost
Lesson 14: What is a Sinking Fund?
Lesson 15: Class Example - Calculating Deposits into a Sinking Fund and the Total Annual Cost of a Debt
Handout: SU6 - Lecture Notes
Lesson 1: A Bit of Background to Capital Budgeting
Lesson 2: What is the Internal Rate of Return?
Lesson 3: Class Example - Determining the Internal Rate of Return with Varying Cash Flows using an HPbII+ Calculator
Lesson 4: Class Example - Determining the Internal Rate of Return with Uniform Cash Flows using an HPbII+ Calculator
Lesson 5: Class Example - Determining the Internal Rate of Return with Varying Cash Flows using a SHARP EL-738F Calculator
Lesson 6: Class Example - Determining the Internal Rate of Return with Uniform Cash Flows using a SHARP EL-738F Calculator
Lesson 7: Class Example - Determining the Internal Rate of Return with a Single Cash Flow
Lesson 8: What is the Net Present Value?
Lesson 9: Class Example - Determining the Net Present Value using an HPbII+ Calculator
Lesson 10: Class Example - Determining the Net Present Value using a SHARP EL-738F
Lesson 11: What is the Profitability Index?
Lesson 12: Class Example - Calculating the Profitability Index
Lesson 13: Summary on how to Use IRR, NPV and PI to Decide on Investment Proposals
Lesson 14: What is the Modified Internal Rate of Return?
Lesson 15: How do I Calculate the Modified Internal Rate of Return?
Lesson 16: Class Example - Calculating the Modified Internal Rate of Return
Lesson 17: Class Example - Rearranging the Modified Internal Rate of Return Formula