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Course Outline

Part 1

A Brief Introduction to MATLAB

Objectives: Provide an overview of MATLAB's purpose, components, and capabilities.

  • Example: C vs. MATLAB
  • MATLAB Product Overview
  • MATLAB Application Fields
  • How MATLAB Can Benefit You
  • Course Outline

Working with the MATLAB User Interface

Objective: Gain familiarity with the main features of the MATLAB integrated design environment and its interfaces. Review course themes.

  • MATLAB Interface
  • Reading data from files
  • Saving and loading variables
  • Plotting data
  • Customizing plots
  • Calculating statistics and fitting best-fit lines
  • Exporting graphics for external use

Variables and Expressions

Objective: Master the entry of MATLAB commands, focusing on creating and accessing data within variables.

  • Entering commands
  • Creating variables
  • Accessing help
  • Accessing and modifying variable values
  • Creating character variables

Analysis and Visualization with Vectors

Objective: Execute mathematical and statistical calculations using vectors and create basic visualizations. Observe how MATLAB syntax allows for set-wide calculations with single commands.

  • Vector calculations
  • Plotting vectors
  • Basic plot options
  • Annotating plots

Analysis and Visualization with Matrices

Objective: Utilize matrices as mathematical objects or collections of vector data. Understand MATLAB syntax distinctions between these applications.

  • Size and dimensionality
  • Matrix calculations
  • Statistics with matrix data
  • Plotting multiple columns
  • Reshaping and linear indexing
  • Multidimensional arrays

Part 2

Automating Commands with Scripts

Objective: Group MATLAB commands into scripts for easy reproduction and testing. As task complexity grows, entering long command sequences in the Command Window becomes inefficient.

  • Modeling Example
  • The Command History
  • Creating script files
  • Running scripts
  • Comments and Code Cells
  • Publishing scripts

Working with Data Files

Objective: Import data from formatted files into MATLAB. Given the variety of data types and formats, emphasis is placed on working with cell arrays and date formats.

  • Importing data
  • Mixed data types
  • Cell arrays
  • Conversions among numerals, strings, and cells
  • Exporting data

Multiple Vector Plots

Objective: Create more complex vector plots, such as multiple overlaid plots, and use color and string manipulation to produce impactful data visualizations.

  • Graphics structure
  • Multiple figures, axes, and plots
  • Plotting equations
  • Using color
  • Customizing plots

Logic and Flow Control

Objective: Use logical operations, variables, and indexing to create flexible code that adapts to different scenarios. Explore programming constructs for code repetition and user interaction.

  • Logical operations and variables
  • Logical indexing
  • Programming constructs
  • Flow control
  • Loops

Matrix and Image Visualization

Objective: Visualize images and matrix data in two or three dimensions. Explore the distinctions between displaying images and visualizing matrix data via images.

  • Scattered Interpolation using vector and matrix data
  • 3-D matrix visualization
  • 2-D matrix visualization
  • Indexed images and colormaps
  • True color images

Part 3

Data Analysis

Objective: Perform standard data analysis tasks in MATLAB, including developing and fitting theoretical models to real-world data. This introduces one of MATLAB’s most powerful features: solving linear systems of equations with a single command.

  • Handling missing data
  • Correlation
  • Smoothing
  • Spectral analysis and FFTs
  • Solving linear systems of equations

Writing Functions

Objective: Enhance automation by encapsulating modular tasks as user-defined functions. Understand how MATLAB resolves references to files and variables.

  • Why functions?
  • Creating functions
  • Adding comments
  • Calling subfunctions
  • Workspaces
  • Subfunctions
  • Path and precedence

Data Types

Objective: Explore data types, focusing on syntax for variable creation and array element access. Discuss methods for converting among data types, which differ in content organization and data kind.

  • MATLAB data types
  • Integers
  • Structures
  • Converting types

File I/O

Objective: Explore low-level data import and export functions in MATLAB for precise control over text and binary file I/O. Includes textscan, which offers precise control over text file reading.

  • Opening and closing files
  • Reading and writing text files
  • Reading and writing binary files

Note: The actual delivered content may have minor discrepancies from the outline above without prior notification.

Part 4

Overview of the MATLAB Financial Toolbox

Objective: Learn to apply features of the MATLAB Financial Toolbox for quantitative analysis in the financial industry. Gain the knowledge and practice needed to efficiently develop real-world financial applications.

  • Asset Allocation and Portfolio Optimization
  • Risk Analysis and Investment Performance
  • Fixed-Income Analysis and Option Pricing
  • Financial Time Series Analysis
  • Regression and Estimation with Missing Data
  • Technical Indicators and Financial Charts
  • Monte Carlo Simulation of SDE Models

Asset Allocation and Portfolio Optimization

Objective: Perform capital allocation, asset allocation, and risk assessment.

  • Estimating asset return and total return moments from price or return data
  • Computing portfolio-level statistics, such as mean, variance, value at risk (VaR), and conditional value at risk (CVaR)
  • Performing constrained mean-variance portfolio optimization and analysis
  • Examining the time evolution of efficient portfolio allocations
  • Performing capital allocation
  • Accounting for turnover and transaction costs in portfolio optimization problems

Risk Analysis and Investment Performance

Objective: Define and solve portfolio optimization problems.

  • Specifying a portfolio name, the number of assets in an asset universe, and asset identifiers.
  • Defining an initial portfolio allocation.

Fixed-Income Analysis and Option Pricing

Objective: Perform fixed-income analysis and option pricing.

  • Analyzing cash flow
  • Performing SIA-Compliant fixed-income security analysis
  • Performing basic Black-Scholes, Black, and binomial option-pricing

Part 5

Financial Time Series Analysis

Objective: Analyze time series data in financial markets.

  • Performing data math
  • Transforming and analyzing data
  • Technical analysis
  • Charting and graphics

Regression and Estimation with Missing Data

Objective: Perform multivariate normal regression with or without missing data.

  • Performing common regressions
  • Estimating log-likelihood function and standard errors for hypothesis testing
  • Completing calculations when data is missing

Technical Indicators and Financial Charts

Objective: Practice using performance metrics and specialized plots.

  • Moving averages
  • Oscillators, stochastics, indexes, and indicators
  • Maximum drawdown and expected maximum drawdown
  • Charts, including Bollinger bands, candlestick plots, and moving averages

Monte Carlo Simulation of SDE Models

Objective: Create simulations and apply SDE models.

  • Brownian Motion (BM)
  • Geometric Brownian Motion (GBM)
  • Constant Elasticity of Variance (CEV)
  • Cox-Ingersoll-Ross (CIR)
  • Hull-White/Vasicek (HWV)
  • Heston

Conclusion

Objectives: Summarize key learnings.

  • A summary of the course
  • Other upcoming courses on MATLAB

Note: The actual content delivered may differ from the outline due to customer requirements and time spent on each topic.

Requirements

  • Fundamental undergraduate-level mathematical knowledge, including linear algebra, probability theory, statistics, and matrix concepts
  • Basic computer operation skills
  • Although not required, familiarity with a high-level programming language (e.g., C, PASCAL, FORTRAN, or BASIC) is advantageous
 35 Hours

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