Module 1: Fundamentals of Finance

  • Introduction to financial systems and markets
  • Time value of money (TVM)
  • Interest rates, compounding, and discounting
  • Financial instruments: stocks, bonds, derivatives (overview)
  • Risk and return concepts

Module 2: Core Mathematical Foundations

  • Algebra and functions in financial contexts
  • Exponents, logarithms, and growth models
  • Sequences and series (annuities, perpetuities)
  • Introduction to calculus (limits, derivatives, basic integrals)
  • Optimization techniques in finance

Module 3: Probability and Statistics

  • Basic probability theory
  • Random variables and distributions
  • Expected value and variance
  • Correlation and covariance
  • Descriptive statistics and data analysis
  • Introduction to statistical inference

Module 4: Financial Mathematics

  • Discounted cash flow (DCF) analysis
  • Net present value (NPV) and internal rate of return (IRR)
  • Bond pricing and yield calculations
  • Portfolio mathematics basics
  • Risk measurement (standard deviation, beta)

Module 5: Introduction to Computational Methods

  • Role of computation in finance
  • Basic programming concepts (e.g., variables, loops, functions)
  • Introduction to Python or similar tools
  • Working with financial data

Module 6: Data Analysis and Visualization

  • Data cleaning and preparation
  • Using spreadsheets (Excel) for financial analysis
  • Basic data visualization techniques
  • Interpreting financial data

Module 7: Numerical Methods in Finance

  • Numerical approximation techniques
  • Solving equations (e.g., root finding)
  • Simulation methods (Monte Carlo basics)
  • Applications in pricing and risk analysis

Module 8: Applied Finance with Computation

  • Building financial models
  • Portfolio analysis using computational tools
  • Scenario and sensitivity analysis
  • Introduction to algorithmic thinking in finance

Module 9: Practical Applications and Projects

  • Case studies in financial analysis
  • Real-world datasets and exercises
  • Mini-projects combining math, finance, and coding
  • Final project: Develop a basic financial model

Module 10: Career Foundations and Next Steps

  • Overview of careers in finance and fintech
  • Required skills for further specialization
  • Ethical considerations in financial decision-making
  • Pathways to advanced study (quant finance, data science, etc.)

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