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Garud Iyengar, Ali Hirsa, and Martin Haugh

This course focuses on applications of optimization methods in portfolio construction and risk management. The first module discusses portfolio construction via Mean-Variance Analysis and Capital Asset Pricing Model (CAPM) in an arbitrage-free setting. Next, it demonstrates the application of the security market line and sharpe optimal portfolio in the exercises. The second module involves the difficulties in implementing Mean-Variance techniques in a real-world setting and the potential methods to deal with it. We will introduce Value at Risk (VaR) and Conditional Value at Risk (CVaR) as risk measurements, and Exchange Traded Funds (ETFs), which play an important role in trading and asset management. Typical statistical biases, pitfalls, and their underlying reasons are also discussed, in order to achieve better results when completing  real statistical estimation. The final module looks directly at real-world transaction costs modeling. It includes the basic market micro-structures including order book, bid-ask spread, measurement of liquidity, and their effects on transaction costs. Then we enrich Mean-Variance portfolio strategies by considering transaction costs.

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Syllabus

Course Overview
Mean-Variance Analysis and CAPM
In this module, we will cover topics related to Mean-Variance Analysis and Capital Asset Pricing Model (CAPM), which is a fundamental theory in portfolio selection. CAPM can be used to price risky assets in the market. We will start by utilizing Mean-Variance Analysis to construct an optimal portfolio in an arbitrage-free market. Then we will introduce the efficient frontier and capital market line. Finally, we use excel to implement Mean-Variance optimization and construct a portfolio with the highest Sharpe ratio. In practice, Mean-Variance Analysis and CAPM can also be extended in other pricing techniques such as factor model. In the assignment, you will be required to apply Mean-Variance Analysis to do portfolio selection, Sharpe ratio computation, and risky asset pricing, etc.
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Assignment week
Practical Issues in Implementing Mean Variance
In this module, we show the difficulties in implementing Mean-Variance and provide possible methods to improve the estimated frontier by revising constraints and amending parameter estimation. VaR and CVaR are introduced as different measurements about risk beyond variance. In the second lesson, we will also learn common ETFs and their returns and volatility. ETFs play an important role in trading and asset management because of their features at low costs, tax efficiency, and stock-like behaviors. In the last lesson, we will introduce some facts about typical statistical biases and pitfalls, as well as underlying reasons. This can remind us to be more careful when doing the statistical estimation. If you have any questions, you should reach out to us on the discussion forum.
Assignment Week
Other Applications of Financial Engineering
In the real world, transaction costs are charged when we buy or sell assets in the market. How to model transaction cost is a key question in portfolio execution. In this module, we learn about the basic market micro-structures, including order book, bid-ask spread, measurement of liquidity and their effects on transaction costs. Then we enrich Mean-Variance portfolio strategies by taking transaction costs into consideration. By learning this module, you will be better prepared to deal with real-world investment problems.

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Explores topics in finance, which is used in the banking industry
Taught by experts in finance, who have significant experience in the field
Develops portfolio construction and risk management skills, which are essential for financial analysts
Covers real-world challenges in portfolio implementation, providing practical insights for learners
Provides a foundation in financial engineering, which is valuable for careers in finance
Requires familiarity with statistical concepts, which may be a barrier for learners without a background in statistics

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Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Optimization Methods in Asset Management with these activities:
Review basic statistics
Warms up your understanding of statistical concepts and prepares you for the course's quantitative focus.
Browse courses on Statistics
Show steps
  • Review probability distributions (e.g., normal, binomial, Poisson)
  • Practice calculating means, variances, and covariances
  • Refresh yourself on hypothesis testing and confidence intervals
Read 'Modern Portfolio Theory and Investment Analysis' by Elton, Gruber, and Brown
Provides a comprehensive and in-depth understanding of the theoretical foundations and practical applications of portfolio management.
Show steps
  • Read chapters related to Mean-Variance analysis, risk management, and portfolio optimization
  • Take notes and highlight key concepts
  • Discuss the book's content with classmates or a mentor
Form a Study Group
Collaborate with peers to reinforce concepts and gain diverse perspectives on course material.
Show steps
  • Find classmates with similar interests and schedules
  • Establish meeting times and locations
  • Review course material together
  • Discuss concepts and solve problems collaboratively
Five other activities
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Show all eight activities
Walkthrough Mean-Variance Analysis
Provides a structured approach to understanding the core concept of the course and applying it to portfolio construction.
Show steps
  • Find tutorial resources online or in textbooks
  • Follow along with examples and practice exercises
  • Implement Mean-Variance analysis in a spreadsheet or coding environment
Attend Industry Webinars
Connects you with experts and practitioners in the field, providing valuable insights and networking opportunities.
Show steps
  • Research industry events and webinars related to portfolio management
  • Register for and attend selected events
  • Network with speakers, panelists, and other attendees
Solve Mean-Variance Optimization Problems
Strengthens your problem-solving skills and deepens your understanding of the mathematical foundations of portfolio theory.
Show steps
  • Find practice problems online or in textbooks
  • Solve problems using Mean-Variance optimization techniques
  • Compare your solutions to the provided answers
  • Identify and address areas for improvement
Create a Portfolio Simulation
Develops your practical skills in portfolio construction and risk evaluation.
Browse courses on Portfolio Management
Show steps
  • Choose a portfolio simulation software or platform
  • Enter real-world market data and investment parameters
  • Run simulations to evaluate portfolio performance under various scenarios
  • Analyze the results and make informed investment decisions
Develop a Risk Management Plan
Applies the concepts learned in the course to a practical scenario, enhancing your ability to manage investment risks.
Browse courses on Risk Management
Show steps
  • Gather data on potential investments
  • Identify and assess potential risks
  • Develop strategies to mitigate identified risks
  • Create a comprehensive risk management plan

Career center

Learners who complete Optimization Methods in Asset Management will develop knowledge and skills that may be useful to these careers:
Portfolio Manager
Portfolio Managers manage investment portfolios for individuals and institutions. This course will help you develop the skills you need to succeed in this role, including portfolio optimization, risk management, and financial analysis.
Quantitative Analyst
Quantitative Analysts use mathematical and statistical models to analyze financial data. This course will help you develop the skills you need to succeed in this role, including portfolio optimization, risk management, and data analysis.
Investment Analyst
Investment Analysts evaluate and recommend investments. This course will help build a foundation in financial modeling, portfolio management, and risk assessment, all of which are essential skills for Investment Analysts.
Risk Manager
Risk Managers identify and mitigate financial risks. This course will help you develop the skills you need to succeed in this role, including risk assessment, portfolio optimization, and financial modeling.
Financial Analyst
Financial Analysts provide financial advice to individuals and institutions. This course will help you develop the skills you need to succeed in this role, including financial modeling, portfolio management, and risk assessment.
Actuary
Actuaries are professionals who evaluate and manage financial risks. This course will help build a foundation in financial modeling, risk assessment, and portfolio management, all of which are essential skills for Actuaries.
Insurance Underwriter
Insurance Underwriters assess and price insurance risks. This course may be useful in developing the skills for this role, as it covers topics such as portfolio optimization, risk assessment, and financial modeling.
Commercial Banker
Commercial Bankers provide financial services to businesses. This course may be useful in developing the skills for this role, as it covers topics such as financial modeling, portfolio management, and risk assessment.
Data Scientist
Data Scientists use data to solve business problems. This course may be useful in developing the skills for this role, as it covers topics such as data analysis, statistical modeling, and machine learning.
Wealth Manager
Wealth Managers provide comprehensive financial advice to high-net-worth individuals and families. This course may be useful in developing the skills for this role, as it covers topics such as portfolio management, risk assessment, and financial planning.
Operations Research Analyst
Operations Research Analysts use mathematical and analytical techniques to improve the efficiency of organizations. This course may be useful in developing the skills for this role, as it covers topics such as optimization, simulation, and data analysis.
Statistician
Statisticians collect, analyze, and interpret data. This course may be useful in developing the skills for this role, as it covers topics such as statistical modeling, data analysis, and probability theory.
Investment Banker
Investment Bankers help companies raise capital and provide financial advice. This course may be useful in developing the skills for this role, as it covers topics such as financial modeling, portfolio management, and risk assessment.
Financial Planner
Financial Planners help individuals and families manage their finances. This course may be useful in developing the skills for this role, as it covers topics such as portfolio management, risk assessment, and financial planning.
Economist
Economists study the production, distribution, and consumption of goods and services. This course may be useful in developing the skills for this role, as it covers topics such as economic modeling, data analysis, and econometrics.

Reading list

We've selected 12 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Optimization Methods in Asset Management.
Provides a comprehensive introduction to modern investment science, covering topics such as portfolio optimization, risk management, and financial modeling. It valuable resource for students and professionals in the field of finance.
Provides a comprehensive overview of risk management in financial institutions, covering topics such as market risk, credit risk, and operational risk. It valuable resource for students and professionals in the field of finance.
Provides a concise introduction to financial risk management, covering topics such as risk measurement, risk management, and risk modeling. It valuable resource for students and professionals in the field of finance.
This textbook provides a comprehensive overview of risk and portfolio management, covering topics such as risk measurement, portfolio construction, and risk management. It valuable resource for students and professionals in the field of finance.
This textbook provides a comprehensive overview of investment analysis and portfolio management, covering topics such as security analysis, portfolio construction, and risk management. It valuable resource for students and professionals in the field of finance.
Provides a comprehensive overview of options, futures, and derivatives, covering topics such as option pricing, futures contracts, and derivative strategies. It valuable resource for students and professionals in the field of finance.
This textbook provides a comprehensive overview of corporate finance, covering topics such as capital budgeting, capital structure, and dividend policy. It valuable resource for students and professionals in the field of finance.
This textbook provides a comprehensive overview of investments, covering topics such as asset allocation, portfolio construction, and risk management. It valuable resource for students and professionals in the field of finance.
Provides a comprehensive overview of econometrics, covering topics such as time series analysis, forecasting, and risk management. It valuable resource for students and professionals in the field of finance.
Provides a comprehensive overview of statistics for finance, covering topics such as probability theory, statistical inference, and risk management. It valuable resource for students and professionals in the field of finance.

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