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Portfolio Selection and Risk Management

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Portfolio Selection and Risk Management

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Gain insight into a topic and learn the fundamentals.
4.6

634 reviews

2 weeks to complete
at 10 hours a week
Flexible schedule
Learn at your own pace

Gain insight into a topic and learn the fundamentals.
4.6

634 reviews

2 weeks to complete
at 10 hours a week
Flexible schedule
Learn at your own pace

Build your subject-matter expertise

This course is part of the Investment and Portfolio Management Specialization
When you enroll in this course, you'll also be enrolled in this Specialization.
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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 videosTotal 64 minutes
  • Introduction & Welcome to class8 minutes
  • Overview – No free lunches! Risk and return trade-off5 minutes
  • Measuring returns: Geometric average returns6 minutes
  • Measuring returns: Arithmetic average returns5 minutes
  • Measuring risk: Volatility of returns8 minutes
  • Alternative measures of risk8 minutes
  • More on measuring risk and risk measures5 minutes
  • Measuring risk and return: Illustration with four stocks9 minutes
  • Historical record on risk-return patterns9 minutes
  • Summary2 minutes
11 readingsTotal 110 minutes
  • Grading Policy10 minutes
  • How to use discussion forums10 minutes
  • Meet & Greet: Get to know your classmates10 minutes
  • Pre-Course Survey10 minutes
  • Lecture handouts: Risk and return: Measuring returns10 minutes
  • Risk and return: Measuring returns Quiz Solutions10 minutes
  • Lecture handouts: Risk and return: Measuring risk10 minutes
  • Risk & Return: Measuring risk Quiz solutions10 minutes
  • Lecture handouts: Risk and return: Historical record10 minutes
  • Investing: Stocks for the long run (optional)10 minutes
  • Module 1: Risk & Return Solutions10 minutes
3 assignmentsTotal 90 minutes
  • Module 1: Risk & Return30 minutes
  • Risk and return: Measuring returns30 minutes
  • Risk & Return: Measuring risk30 minutes
1 peer reviewTotal 60 minutes
  • Measuring risk and return60 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 videosTotal 83 minutes
  • Introduction: Measuring portfolio risk and return2 minutes
  • Measuring the expected return of a portfolio8 minutes
  • Let’s review how we measure risk for a single asset4 minutes
  • Finding the volatility of a portfolio return3 minutes
  • Portfolio volatility: Another example2 minutes
  • Measuring the co-movement between securities9 minutes
  • Putting it all together… portfolio risk and diversification8 minutes
  • Diversification and portfolio risk3 minutes
  • Diversification: A graphical illustration with two assets5 minutes
  • Diversification: A graphical illustration with three assets3 minutes
  • Diversification: Systematic risk and idiosyncratic risk8 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 analysis6 minutes
  • Summary2 minutes
12 readingsTotal 70 minutes
  • Lecture handouts: Measuring portfolio expected return0 minutes
  • Measuring expected portfolio return Quiz solutions10 minutes
  • Lecture handouts: Measuring portfolio volatility0 minutes
  • Measuring portfolio volatility Quiz solutions10 minutes
  • Accompanying spreadsheets for "Diversification: An illustration from international equity markets (US and Japan only)"10 minutes
  • A Note on using EXCEL Solver10 minutes
  • Lecture handouts: Diversification and portfolio risk0 minutes
  • Lecture handouts: Mean-variance frontier and efficient portfolios: International equity investment example0 minutes
  • Diversification and portfolio risk Quiz solutions10 minutes
  • Equity investing: Globalization and diversification (optional)10 minutes
  • Lecture handouts: Are you adequately diversified?0 minutes
  • Module 2: Portfolio construction and diversification- Solutions10 minutes
4 assignmentsTotal 120 minutes
  • Module 2: Portfolio construction and diversification30 minutes
  • Measuring expected portfolio return30 minutes
  • Measuring portfolio volatility30 minutes
  • Diversification and portfolio risk30 minutes
2 peer reviewsTotal 120 minutes
  • Measuring portfolio returns and volatility60 minutes
  • Constructing mean-variance frontier for two risky assets 60 minutes
1 discussion promptTotal 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 videosTotal 47 minutes
  • Introduction2 minutes
  • Preferences: Utility functions9 minutes
  • Risk aversion9 minutes
  • Expected utility7 minutes
  • Mean-variance preferences9 minutes
  • Portfolio choice problem with mean-variance preferences: A graphical illustration with equity and bond data11 minutes
  • Summary1 minute
7 readingsTotal 50 minutes
  • Lecture handouts: Utility and risk aversion0 minutes
  • A note on measuring risk aversion and certainty equivalent10 minutes
  • Utility and Risk aversion Quiz solutions10 minutes
  • Lecture handouts: Mean-variance preferences0 minutes
  • Portfolio choice with mean-variance preferences quiz solutions10 minutes
  • Measure your own risk tolerance10 minutes
  • Module 3: Mean-variance preferences- Solutions10 minutes
3 assignmentsTotal 90 minutes
  • Module 3: Mean-variance preferences30 minutes
  • Utility and risk aversion30 minutes
  • Portfolio choice with mean-variance preferences30 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 videosTotal 63 minutes
  • Introduction2 minutes
  • Capital allocation line11 minutes
  • Solving for the optimal capital allocation8 minutes
  • Optimal capital allocation example: U.S. equities and Treasuries10 minutes
  • Finding the optimal risky portfolio: Maximizing the Sharpe ratio7 minutes
  • Main insight: The optimal risky portfolio is independent of preferences2 minutes
  • Finding the optimal risk portfolio when you have multiple risky securities10 minutes
  • Investment decision process5 minutes
  • What’s wrong with mean-variance portfolio analysis?5 minutes
  • Summary2 minutes
12 readingsTotal 90 minutes
  • A note on optimal capital allocation10 minutes
  • Accompanying spreadsheets for "Optimal Capital Allocation Example: US Equities and Treasuries"10 minutes
  • Lecture handouts: Mean-variance optimization0 minutes
  • Mean-variance optimization Quiz solutions10 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 assets10 minutes
  • Accompanying spreadsheet for finding minimum variance frontier with multiple risky assets10 minutes
  • Lecture handouts: Optimal risky portfolio choice0 minutes
  • Lecture handouts0 minutes
  • Optimal capital allocation and portfolio choice- Solutions10 minutes
2 assignmentsTotal 28 minutes
  • Optimal capital allocation and portfolio choice18 minutes
  • Mean-variance optimization10 minutes
1 peer reviewTotal 120 minutes
  • Optimal asset allocation and portfolio choice120 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 videosTotal 56 minutes
  • Introduction4 minutes
  • From optimal portfolio choice to asset pricing models7 minutes
  • Insight #1 from Capital Asset Pricing Model: Passive investing is efficient8 minutes
  • Insight #2 from Capital Asset Pricing Model: What determines the market risk premium?6 minutes
  • Beta and systematic risk7 minutes
  • Capital Asset Pricing Model: Expected return-beta relationship8 minutes
  • Multi-factor models8 minutes
  • Fama-French three-factor model8 minutes
  • Summary2 minutes
7 readingsTotal 50 minutes
  • Lecture handouts: Equilibrium asset pricing models: Capital Asset Pricing Model0 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 solutions10 minutes
  • Lecture handouts: Equilibrium asset pricing models: Multi-factor models0 minutes
  • Module 5 Quiz: Equilibrium asset pricing models- Solutions10 minutes
  • End-of-Course Survey10 minutes
2 assignmentsTotal 60 minutes
  • Module 5 Quiz: Equilibrium asset pricing models30 minutes
  • Equilibrium asset pricing models: Capital Asset Pricing Model30 minutes

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Instructor

Instructor ratings
4.6 (71 ratings)
Rice University
4 Courses171,690 learners

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LC
·

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.

AH
·

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.

AF
·

Reviewed on Nov 10, 2018

This is the most informative in depth short course i ever across. Learned a lot!

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