Portfolio Selection and Risk Management
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Portfolio Selection and Risk Management
This course is part of Investment and Portfolio Management Specialization
Instructor: Arzu Ozoguz
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There are 5 modules in this course
When an investor is faced with a portfolio choice problem, the number of possible assets and the various combinations and proportions in which each can be held can seem overwhelming. In this course, you’ll learn the basic principles underlying optimal portfolio construction, diversification, and risk management. You’ll start by acquiring the tools to characterize an investor’s risk and return trade-off. You will next analyze how a portfolio choice problem can be structured and learn how to solve for and implement the optimal portfolio solution. Finally, you will learn about the main pricing models for equilibrium asset prices.
Learners will: • Develop risk and return measures for portfolio of assets • Understand the main insights from modern portfolio theory based on diversification • Describe and identify efficient portfolios that manage risk effectively • Solve for portfolio with the best risk-return trade-offs • Understand how risk preference drive optimal asset allocation decisions • Describe and use equilibrium asset pricing models.
This module introduces the second course in the Investment and Portfolio Management Specialization. In this module, we discuss one of the main principles of investing: the risk-return trade-off, the idea that in competitive security markets, higher expected returns come only at a price – the need to bear greater risk. We develop statistical measures of risk and expected return and review the historical record on risk-return patterns across various asset classes.
What's included
10 videos11 readings3 assignments1 peer review
10 videos•Total 64 minutes
- Introduction & Welcome to class•8 minutes
- Overview – No free lunches! Risk and return trade-off•5 minutes
- Measuring returns: Geometric average returns•6 minutes
- Measuring returns: Arithmetic average returns•5 minutes
- Measuring risk: Volatility of returns•8 minutes
- Alternative measures of risk•8 minutes
- More on measuring risk and risk measures•5 minutes
- Measuring risk and return: Illustration with four stocks•9 minutes
- Historical record on risk-return patterns•9 minutes
- Summary•2 minutes
11 readings•Total 110 minutes
- Grading Policy•10 minutes
- How to use discussion forums•10 minutes
- Meet & Greet: Get to know your classmates•10 minutes
- Pre-Course Survey•10 minutes
- Lecture handouts: Risk and return: Measuring returns•10 minutes
- Risk and return: Measuring returns Quiz Solutions•10 minutes
- Lecture handouts: Risk and return: Measuring risk•10 minutes
- Risk & Return: Measuring risk Quiz solutions•10 minutes
- Lecture handouts: Risk and return: Historical record•10 minutes
- Investing: Stocks for the long run (optional)•10 minutes
- Module 1: Risk & Return Solutions•10 minutes
3 assignments•Total 90 minutes
- Module 1: Risk & Return•30 minutes
- Risk and return: Measuring returns•30 minutes
- Risk & Return: Measuring risk•30 minutes
1 peer review•Total 60 minutes
- Measuring risk and return•60 minutes
In this module, we build on the tools from the previous module to develop measure of portfolio risk and return. We define and distinguish between the different sources of risk and discuss the concept of diversification: how and why putting risky assets together in a portfolio eliminates risk that yields a portfolio with less risk than its components. Finally, we review the quantitative tools that help us identify the ‘best’ portfolios with the least risk for a given level of expected return by considering a numerical example using international equity data.
What's included
16 videos12 readings4 assignments2 peer reviews1 discussion prompt
16 videos•Total 83 minutes
- Introduction: Measuring portfolio risk and return•2 minutes
- Measuring the expected return of a portfolio•8 minutes
- Let’s review how we measure risk for a single asset•4 minutes
- Finding the volatility of a portfolio return•3 minutes
- Portfolio volatility: Another example•2 minutes
- Measuring the co-movement between securities•9 minutes
- Putting it all together… portfolio risk and diversification•8 minutes
- Diversification and portfolio risk•3 minutes
- Diversification: A graphical illustration with two assets•5 minutes
- Diversification: A graphical illustration with three assets•3 minutes
- Diversification: Systematic risk and idiosyncratic risk•8 minutes
- Diversification: An illustration from international equity markets (US and Japan only)•11 minutes
- Mean-variance frontier and efficient portfolios: International equity investment example (G5 countries)•5 minutes
- Are you diversified adequately?•5 minutes
- Mean-variance portfolio analysis•6 minutes
- Summary•2 minutes
12 readings•Total 70 minutes
- Lecture handouts: Measuring portfolio expected return•0 minutes
- Measuring expected portfolio return Quiz solutions•10 minutes
- Lecture handouts: Measuring portfolio volatility•0 minutes
- Measuring portfolio volatility Quiz solutions•10 minutes
- Accompanying spreadsheets for "Diversification: An illustration from international equity markets (US and Japan only)"•10 minutes
- A Note on using EXCEL Solver•10 minutes
- Lecture handouts: Diversification and portfolio risk•0 minutes
- Lecture handouts: Mean-variance frontier and efficient portfolios: International equity investment example•0 minutes
- Diversification and portfolio risk Quiz solutions•10 minutes
- Equity investing: Globalization and diversification (optional)•10 minutes
- Lecture handouts: Are you adequately diversified?•0 minutes
- Module 2: Portfolio construction and diversification- Solutions•10 minutes
4 assignments•Total 120 minutes
- Module 2: Portfolio construction and diversification•30 minutes
- Measuring expected portfolio return•30 minutes
- Measuring portfolio volatility•30 minutes
- Diversification and portfolio risk•30 minutes
2 peer reviews•Total 120 minutes
- Measuring portfolio returns and volatility•60 minutes
- Constructing mean-variance frontier for two risky assets •60 minutes
1 discussion prompt•Total 10 minutes
- Should you add emerging markets equities to your portfolio?•10 minutes
In this module, we describe how investors make choices. Specifically, we look at how utility functions are used to express preferences. We review measures to describe investors’ attitude towards risk. Finally, we discuss how we can summarize investors’ preferences using a specific utility function: mean-variance preferences.
What's included
7 videos7 readings3 assignments
7 videos•Total 47 minutes
- Introduction•2 minutes
- Preferences: Utility functions•9 minutes
- Risk aversion•9 minutes
- Expected utility•7 minutes
- Mean-variance preferences•9 minutes
- Portfolio choice problem with mean-variance preferences: A graphical illustration with equity and bond data•11 minutes
- Summary•1 minute
7 readings•Total 50 minutes
- Lecture handouts: Utility and risk aversion•0 minutes
- A note on measuring risk aversion and certainty equivalent•10 minutes
- Utility and Risk aversion Quiz solutions•10 minutes
- Lecture handouts: Mean-variance preferences•0 minutes
- Portfolio choice with mean-variance preferences quiz solutions•10 minutes
- Measure your own risk tolerance•10 minutes
- Module 3: Mean-variance preferences- Solutions•10 minutes
3 assignments•Total 90 minutes
- Module 3: Mean-variance preferences•30 minutes
- Utility and risk aversion•30 minutes
- Portfolio choice with mean-variance preferences•30 minutes
In this module, you will learn about mean-variance optimization: how to make optimal capital allocation and portfolio choice decisions when investors have mean-variance preferences. This was one of the ground-breaking ideas in finance. We will formally set up the investor’s portfolio choice problem and learn step-by-step how to solve for the optimal allocation and risky portfolio choice given a set of risky securities. You will also have an opportunity to apply these techniques to a numerical example. This module is slightly more technical than the others. Stick with it… you will not regret it!
What's included
10 videos12 readings2 assignments1 peer review
10 videos•Total 63 minutes
- Introduction•2 minutes
- Capital allocation line•11 minutes
- Solving for the optimal capital allocation•8 minutes
- Optimal capital allocation example: U.S. equities and Treasuries•10 minutes
- Finding the optimal risky portfolio: Maximizing the Sharpe ratio•7 minutes
- Main insight: The optimal risky portfolio is independent of preferences•2 minutes
- Finding the optimal risk portfolio when you have multiple risky securities•10 minutes
- Investment decision process•5 minutes
- What’s wrong with mean-variance portfolio analysis?•5 minutes
- Summary•2 minutes
12 readings•Total 90 minutes
- A note on optimal capital allocation•10 minutes
- Accompanying spreadsheets for "Optimal Capital Allocation Example: US Equities and Treasuries"•10 minutes
- Lecture handouts: Mean-variance optimization•0 minutes
- Mean-variance optimization Quiz solutions•10 minutes
- Analytical solution to MVE portfolio (two risky assets)•10 minutes
- A note on finding the mean variance efficient portfolio (Two risky assets)•10 minutes
- Accompanying spreadsheets for "Finding the optimal risky portfolio: Maximizing the Sharpe ratio"•10 minutes
- A note on finding the minimum variance frontier with multiple risky assets•10 minutes
- Accompanying spreadsheet for finding minimum variance frontier with multiple risky assets•10 minutes
- Lecture handouts: Optimal risky portfolio choice•0 minutes
- Lecture handouts•0 minutes
- Optimal capital allocation and portfolio choice- Solutions•10 minutes
2 assignments•Total 28 minutes
- Optimal capital allocation and portfolio choice•18 minutes
- Mean-variance optimization•10 minutes
1 peer review•Total 120 minutes
- Optimal asset allocation and portfolio choice•120 minutes
In this module, we build on the insights obtained from modern portfolio theory to understand how risk and return are related in equilibrium. We first look at the main workhorse model in finance, the Capital Asset Pricing Model and discuss the expected return-beta relationship. We then turn our attention to multi-factor models, such as the Fama-French three-factor model.
What's included
9 videos7 readings2 assignments
9 videos•Total 56 minutes
- Introduction•4 minutes
- From optimal portfolio choice to asset pricing models•7 minutes
- Insight #1 from Capital Asset Pricing Model: Passive investing is efficient•8 minutes
- Insight #2 from Capital Asset Pricing Model: What determines the market risk premium?•6 minutes
- Beta and systematic risk•7 minutes
- Capital Asset Pricing Model: Expected return-beta relationship•8 minutes
- Multi-factor models•8 minutes
- Fama-French three-factor model•8 minutes
- Summary•2 minutes
7 readings•Total 50 minutes
- Lecture handouts: Equilibrium asset pricing models: Capital Asset Pricing Model•0 minutes
- "The parable of money managers" (optional)•10 minutes
- "The dying business of stock picking" WSJ (optional)•10 minutes
- Equilibrium asset pricing models: Capital Asset Pricing Model Quiz solutions•10 minutes
- Lecture handouts: Equilibrium asset pricing models: Multi-factor models•0 minutes
- Module 5 Quiz: Equilibrium asset pricing models- Solutions•10 minutes
- End-of-Course Survey•10 minutes
2 assignments•Total 60 minutes
- Module 5 Quiz: Equilibrium asset pricing models•30 minutes
- Equilibrium asset pricing models: Capital Asset Pricing Model•30 minutes
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Reviewed on Dec 16, 2016
This was a tough course and I actually moved to another schedule. I think a sixth week on using excel to solve problems would have been worthwhile.
Reviewed on Dec 16, 2016
I really enjoyed this course. Sometimes it required a lot of discipline to analyse investigate, but at the end I've learn a lot.
Reviewed on Nov 10, 2018
This is the most informative in depth short course i ever across. Learned a lot!
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