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Bekhruzbek Ochilov, MCSI, PAGRC

In this 1-hour long project-based course, you will learn how to optimize a two-asset portfolio at the optimum risk-to-return with finding the maximum Sharpe ratio. To achieve this, we will be working around the Sharpe ratios of two given assets, we will find the efficient frontier of these assets, and find where they intersect the best by utilizing the Markowitz Model.

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In this 1-hour long project-based course, you will learn how to optimize a two-asset portfolio at the optimum risk-to-return with finding the maximum Sharpe ratio. To achieve this, we will be working around the Sharpe ratios of two given assets, we will find the efficient frontier of these assets, and find where they intersect the best by utilizing the Markowitz Model.

The content of this course draws on the knowledge of Project: Compare Stock Returns with Google Sheets, so you are highly recommended to take it first if you are not familiar with how the Sharpe ratio is calculated and don’t have an understanding of how the risk-to-return metrics work.

Note: This course works best for learners who are based in the North America region. We're currently working on providing the same experience in other regions.

This course's content is not intended to be investment advice and does not constitute an offer to perform any operations in the regulated or unregulated financial market.

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What's inside

Syllabus

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Read about what's good
what should give you pause
and possible dealbreakers
Teaches the fundamentals of how to find the maximum Sharpe ratio for a portfolio using the Markowitz Model
Well-suited for learners who have already taken the recommended Project: Compare Stock Returns with Google Sheets

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Reviews summary

Practical markowitz portfolio optimization

According to learners, this course offers a concise and hands-on approach to portfolio optimization using the Markowitz Model and Sharpe ratio. Students particularly value the practical application through Google Sheets, making it a highly applicable project for finance professionals and those with some foundational knowledge. While the course is praised for its clear instruction and focused content on two-asset portfolios, some learners noted that prior understanding of financial metrics like the Sharpe ratio is crucial. The course's brevity and practical nature are frequently highlighted as strengths, though some seeking deeper theoretical insights or multi-asset optimization may find it too basic.
Best for those seeking a quick overview or practical refresh.
"I already knew the basics, so it was a good refresher for me."
"I was hoping for more depth on multi-asset portfolios. This is strictly two assets, which might be basic for some."
"Found it a bit basic for my level, but it *does* cover what it says, so good for those newer to the topic."
Instructor actively updates content based on feedback.
"Recent update helped clarify a few tricky steps in the spreadsheet. The course is continuously improving based on feedback, which is great."
"I noticed some minor corrections have been made since I first took it; good to see the course being maintained."
"The course seems to evolve, addressing previous points of confusion, which is a positive sign for new learners."
Explanations are straightforward and easy to follow.
"The instructor explained it well, making complex concepts digestible."
"The instructor's explanations were very straightforward; I liked the step-by-step approach in Google Sheets."
"Good quick intro. The explanations were clear, and the pace was manageable if you have the prerequisites."
Delivers core concepts swiftly and efficiently.
"This short project provided a concise and practical introduction to Markowitz Model."
"Very focused and to the point. It's a great quick project to see the Markowitz model in action."
"The course delivers exactly what it promises, and its short duration is perfect for busy professionals."
Applies theoretical concepts in a real-world setting.
"The Google Sheets application was incredibly useful for hands-on learning, allowing me to apply the concepts directly."
"It's concise and practical. I appreciate the hands-on approach using Google Sheets, which made it very helpful for professionals."
"Excellent for quickly grasping the practical application of Markowitz; I immediately applied this at work."
Requires foundational knowledge for optimal learning.
"As a beginner, I found myself a bit lost initially, even with the prerequisite suggestion. I had to supplement a lot."
"I struggled a bit without the prior knowledge of Sharpe ratio. The course description strongly recommends it, and I can confirm it's crucial."
"Moves quickly; you'll benefit significantly if you already understand risk-return metrics before starting."

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 Portfolio Optimization using Markowitz Model with these activities:
Review linear algebra and optimization techniques
Brush up on linear algebra and optimization techniques, which provide the mathematical foundation for portfolio optimization.
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  • Review lecture notes or textbooks from previous courses on linear algebra.
  • Practice solving linear algebra problems, such as matrix operations and systems of equations.
  • Explore online resources or videos on optimization techniques, such as quadratic programming.
Join a study group to discuss portfolio optimization concepts
Connect with classmates or fellow learners to form a study group and engage in discussions, knowledge sharing, and problem-solving related to portfolio optimization.
Browse courses on Portfolio Optimization
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  • Reach out to classmates or join online forums to find potential study partners.
  • Establish a regular meeting schedule and set goals for each session.
  • Prepare discussion topics and questions in advance to guide the sessions.
  • Take turns presenting concepts, solving problems, and sharing perspectives.
Follow tutorials on the Markowitz Model
Work through guided tutorials or video demonstrations to gain hands-on experience applying the Markowitz Model to portfolio optimization problems.
Browse courses on Markowitz Model
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  • Search for tutorials on the Markowitz Model using online resources or MOOC platforms.
  • Follow the steps in the tutorials to build a portfolio optimization model using real-world data.
  • Experiment with different input parameters to observe the impact on portfolio performance.
Four other activities
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Show all seven activities
Solve practice problems on portfolio optimization
Engage in repetitive practice exercises to solidify your understanding of portfolio optimization concepts and techniques.
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  • Find practice problems on portfolio optimization from textbooks, online resources, or MOOC platforms.
  • Solve the problems independently and check your answers against provided solutions.
  • Identify areas where you need further practice and focus your efforts accordingly.
Create a visual representation of the efficient frontier
Create a graphical or visual representation of the efficient frontier to visualize the relationship between risk and return for different portfolio combinations.
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  • Gather data on the expected returns and standard deviations of different assets or portfolios.
  • Use a spreadsheet or visualization software to plot the data points on a scatter plot.
  • Draw a curve to connect the data points, representing the efficient frontier.
Create a portfolio optimization tool
Build a software tool or spreadsheet-based application that automates the process of portfolio optimization using the Markowitz Model.
Browse courses on Portfolio Optimization
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  • Design the architecture and functionality of the tool.
  • Develop the code or formulas to implement the Markowitz Model.
  • Test and validate the tool using historical data.
  • Write documentation and user instructions for the tool.
Develop a presentation on portfolio optimization for a non-technical audience
Create a presentation that explains the concepts and benefits of portfolio optimization to a non-technical audience, such as investors or financial advisors.
Browse courses on Portfolio Optimization
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  • Research and gather information on portfolio optimization, including case studies and real-world examples.
  • Develop a clear and concise presentation structure, using visuals and examples to illustrate the concepts.
  • Practice delivering the presentation to ensure smooth flow and audience engagement.

Career center

Learners who complete Portfolio Optimization using Markowitz Model will develop knowledge and skills that may be useful to these careers:
Portfolio Manager
Portfolio Managers are responsible for managing investment portfolios for clients. This course will teach them how to construct and optimize portfolios using the Markowitz model.
Quantitative Analyst
Quantitative Analysts use mathematical and statistical models to solve financial problems. This course will strengthen their understanding of portfolio optimization techniques.
Investment Analyst
Investment Analysts create models to optimize portfolios across multiple asset classes. This course will teach them how to optimize a portfolio using the Markowitz model and will help them enhance their portfolio management skills.
Financial Analyst
Financial Analysts use their expertise to make recommendations on investment decisions. This course can strengthen their portfolio optimization skills and help them make more informed decisions.
Financial Planner
Financial Planners help individuals and families manage their finances. This course will help them understand the principles of portfolio optimization and how to apply them in practice.
Risk Manager
Risk Managers identify and mitigate financial risks for organizations. This course will help them understand how to measure and manage portfolio risk.
Actuary
Actuaries use mathematical and statistical techniques to assess financial risks. This course will help them build a foundation in portfolio optimization.
Investment Banker
Investment Bankers advise companies on financial transactions, including mergers and acquisitions. This course will help them understand the fundamentals of portfolio optimization and how to use it in financial modeling.
Consultant
Consultants advise organizations on a variety of business issues, including investment strategy. This course will provide them with a foundation in portfolio optimization, which they can apply to their consulting work.
Data Scientist
Data Scientists use data to solve business problems. This course will help them develop skills in data analysis and modeling, which can be applied to portfolio optimization.
Insurance Analyst
Insurance Analysts assess the financial risks of insurance policies. This course will help them build a foundation in portfolio optimization and risk management.
Economist
Economists study the economy and make predictions about its future performance. This course will help them build a foundation in financial markets and portfolio optimization.
Statistician
Statisticians collect, analyze, and interpret data. This course will help them develop skills in data analysis and modeling, which can be applied to portfolio optimization.
Teacher
Teachers educate students in a variety of subjects, including finance and economics. This course may be useful for teachers who want to learn more about portfolio optimization and incorporate it into their teaching.
Financial Journalist
Financial Journalists write about financial markets and investments. This course may be useful for financial journalists who want to improve their understanding of portfolio optimization.

Reading list

We've selected 13 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 Portfolio Optimization using Markowitz Model.
Classic in the field of portfolio optimization and risk management. It provides a comprehensive overview of the theory and practice of portfolio optimization, including the Markowitz model.
Provides a practical guide to quantitative equity investing, including portfolio optimization. It valuable resource for anyone interested in applying quantitative techniques to portfolio management.
Comprehensive guide to portfolio management, including portfolio optimization. It valuable resource for anyone interested in the practice of portfolio management.
Provides a comprehensive overview of risk management and portfolio optimization. It valuable resource for anyone interested in the theory and practice of portfolio optimization.
Provides a comprehensive overview of optimization techniques for financial modeling, including portfolio optimization. It valuable resource for anyone interested in the application of optimization techniques to portfolio optimization.
Provides a comprehensive overview of machine learning techniques for asset management, including portfolio optimization. It valuable resource for anyone interested in the application of machine learning techniques to portfolio management.
Provides a comprehensive guide to portfolio management, including portfolio optimization. It valuable resource for anyone interested in the theory and practice of portfolio optimization.
Classic in the field of investment. It provides a comprehensive overview of investment principles, including portfolio optimization. It valuable resource for anyone interested in the theory and practice of portfolio optimization.
Classic in the field of security analysis. It provides a comprehensive overview of security analysis principles, including portfolio optimization. It valuable resource for anyone interested in the theory and practice of portfolio optimization.
Provides a mathematically rigorous treatment of investment science, including portfolio optimization. It valuable reference for anyone interested in the theoretical foundations of portfolio optimization.

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