Financial Mathematics

          Module 1: Introduction to Financial Mathematics

Section 1: What is Financial Mathematics?
- Lesson 1: Understanding Financial Systems
  - Module 1, Section 1, Lesson 1: Exploring how mathematical concepts help explain financial operations and decision-making.
- Lesson 2: The Role of Mathematics in Finance
  - Module 1, Section 1, Lesson 2: Recognizing the relevance of math in everyday financial choices and broader economic systems.

Section 2: Basic Terminology in Finance
- Lesson 1: Money and Currency Concepts
  - Module 1, Section 2, Lesson 1: Defining money, currency, and the evolution of financial exchange.
- Lesson 2: Key Financial Vocabulary
  - Module 1, Section 2, Lesson 2: Introducing essential terms such as interest, principal, and inflation.

Section 3: Understanding Simple Interest
- Lesson 1: What is Simple Interest?
  - Module 1, Section 3, Lesson 1: Introducing the concept of simple interest using real-life examples.
- Lesson 2: Calculating Simple Interest
  - Module 1, Section 3, Lesson 2: Step-by-step methods to compute simple interest on basic financial scenarios.

Section 4: Fundamentals of Compound Interest
- Lesson 1: Introducing Compound Interest
  - Module 1, Section 4, Lesson 1: Explaining the idea behind interest on interest with simple illustrations.
- Lesson 2: Practical Compound Interest Calculations
  - Module 1, Section 4, Lesson 2: Demonstrating calculation techniques for compound interest in everyday contexts.

Section 5: The Time Value of Money
- Lesson 1: Concepts of Present and Future Value
  - Module 1, Section 5, Lesson 1: Defining present value and future value and why money’s value changes over time.
- Lesson 2: Basic Time Value Calculations
  - Module 1, Section 5, Lesson 2: Learning simple calculations to understand the impact of time on financial decisions.

Module 2: Interest Rates and Their Applications

Section 1: Introduction to Interest Rates
- Lesson 1: Defining Interest Rates
  - Module 2, Section 1, Lesson 1: Clarifying what interest rates are and how they function in different financial products.
- Lesson 2: The Importance of Interest Rates in Finance
  - Module 2, Section 1, Lesson 2: Discussing why interest rates matter for saving, investing, and borrowing.

Section 2: Nominal Versus Effective Interest Rates
- Lesson 1: Understanding Nominal Interest Rates
  - Module 2, Section 2, Lesson 1: Examining the concept of nominal interest and its basic computation.
- Lesson 2: Grasping Effective Interest Rates
  - Module 2, Section 2, Lesson 2: Learning how to convert nominal rates into effective rates for more accurate comparisons.

Section 3: Annual Percentage Rate (APR)
- Lesson 1: What is APR?
  - Module 2, Section 3, Lesson 1: Introducing APR and its relevance in loans and credit products.
- Lesson 2: Calculating and Comparing APR
  - Module 2, Section 3, Lesson 2: Understanding how to calculate APR and compare financial products using this metric.

Section 4: Interest in Loans and Savings
- Lesson 1: Applying Interest to Loans
  - Module 2, Section 4, Lesson 1: Learning how interest accumulates on loans and affects repayment.
- Lesson 2: Applying Interest to Savings
  - Module 2, Section 4, Lesson 2: Exploring how interest benefits savings and investment accounts.

Section 5: Factors Influencing Interest Rates
- Lesson 1: The Role of Inflation in Interest
  - Module 2, Section 5, Lesson 1: Understanding how inflation impacts interest rate decisions.
- Lesson 2: Economic Indicators and their Influence
  - Module 2, Section 5, Lesson 2: Analyzing basic economic factors that cause interest rate variations.

Module 3: Annuities and Payment Structures

Section 1: Introduction to Annuities
- Lesson 1: What is an Annuity?
  - Module 3, Section 1, Lesson 1: Defining annuities and their presence in everyday financial planning.
- Lesson 2: Real-Life Examples of Annuities
  - Module 3, Section 1, Lesson 2: Reviewing common examples where annuities are applied, such as pensions and insurance.

Section 2: Present Value of an Annuity
- Lesson 1: The Concept of Present Value
  - Module 3, Section 2, Lesson 1: Explaining how future payments are worth less today, laying the groundwork for annuity calculations.
- Lesson 2: Calculating the Present Value of an Annuity
  - Module 3, Section 2, Lesson 2: Demonstrating methods to determine the present value in simple annuity scenarios.

Section 3: Future Value of an Annuity
- Lesson 1: Understanding Future Value
  - Module 3, Section 3, Lesson 1: Discussing how regular payments grow over time with interest.
- Lesson 2: Techniques for Calculating Future Value
  - Module 3, Section 3, Lesson 2: Working through basic examples of future value calculations for annuities.

Section 4: Distinguishing Ordinary Annuities from Annuities Due
- Lesson 1: Definitions and Key Differences
  - Module 3, Section 4, Lesson 1: Comparing ordinary annuities with annuities due, and identifying their characteristics.
- Lesson 2: Basic Calculation Techniques for Each Type
  - Module 3, Section 4, Lesson 2: Learning how to perform calculations for both types in practical examples.

Section 5: Practical Applications of Annuities
- Lesson 1: Annuities in Retirement Planning
  - Module 3, Section 5, Lesson 1: Exploring how annuities support long-term retirement income strategies.
- Lesson 2: Loan Repayment Schedules and Annuity Models
  - Module 3, Section 5, Lesson 2: Integrating annuity models to understand and design simple loan repayment schedules.

Module 4: Risk and Investment Basics

Section 1: Introduction to Financial Risk
- Lesson 1: What is Financial Risk?
  - Module 4, Section 1, Lesson 1: Defining risk in financial terms and its significance in investment.
- Lesson 2: Identifying Different Types of Risk
  - Module 4, Section 1, Lesson 2: Reviewing basic categories such as market risk, credit risk, and liquidity risk.

Section 2: Basic Probability in Finance
- Lesson 1: Probability Concepts for Finance
  - Module 4, Section 2, Lesson 1: Introducing basic probability ideas used to assess risk.
- Lesson 2: Applying Probability to Financial Scenarios
  - Module 4, Section 2, Lesson 2: Engaging with simple examples of probability calculations in finance.

Section 3: The Concept of Diversification
- Lesson 1: Importance of Diversification
  - Module 4, Section 3, Lesson 1: Explaining how diversification helps manage and reduce overall risk.
- Lesson 2: Basic Diversification Strategies
  - Module 4, Section 3, Lesson 2: Outlining simple strategies to diversify investments effectively.

Section 4: Introduction to Risk Assessment Tools
- Lesson 1: Overview of Risk Metrics
  - Module 4, Section 4, Lesson 1: Presenting fundamental tools and metrics used in assessing financial risk.
- Lesson 2: Hands-On Risk Assessment Techniques
  - Module 4, Section 4, Lesson 2: Learning to apply basic risk assessment methods through real-life examples.

Section 5: Factors in Investment Decision Making
- Lesson 1: Balancing Cost and Risk
  - Module 4, Section 5, Lesson 1: Understanding how cost considerations factor into investment decisions.
- Lesson 2: Evaluating Expected Returns
  - Module 4, Section 5, Lesson 2: Analyzing simple methods to forecast and compare potential returns.

Module 5: Financial Systems Modeling

Section 1: Modeling Financial Growth
- Lesson 1: Setting Up Basic Financial Models
  - Module 5, Section 1, Lesson 1: Introducing the construction of simple models to project financial growth.
- Lesson 2: Interpreting Model Outputs
  - Module 5, Section 1, Lesson 2: Learning to read and understand the implications of model results.

Section 2: Introduction to Financial Graphs
- Lesson 1: Reading Financial Graphs
  - Module 5, Section 2, Lesson 1: Learning key skills for understanding graphs that represent financial data.
- Lesson 2: Plotting Basic Financial Data
  - Module 5, Section 2, Lesson 2: Practicing the creation of basic financial graphs to illustrate data trends.

Section 3: Analyzing Financial Trends
- Lesson 1: Identifying Trends in Financial Data
  - Module 5, Section 3, Lesson 1: Discussing methods to observe and interpret trends from financial models.
- Lesson 2: Simple Trend Analysis Techniques
  - Module 5, Section 3, Lesson 2: Introducing straightforward techniques for trend analysis in financial contexts.

Section 4: Basics of Budgeting and Forecasting
- Lesson 1: Introduction to Budgeting
  - Module 5, Section 4, Lesson 1: Teaching the fundamentals of creating and managing a simple budget.
- Lesson 2: Forecasting Financial Outcomes
  - Module 5, Section 4, Lesson 2: Learning basic forecasting methods to predict future financial behavior.

Section 5: Integrative Financial Projects
- Lesson 1: Applying Fundamental Concepts
  - Module 5, Section 5, Lesson 1: Practical session where students integrate learned concepts into a simple project.
- Lesson 2: Project Presentation and Review
  - Module 5, Section 5, Lesson 2: Concluding activity with project presentation, discussion, and review of key fundamentals.