Skip to content
Felix
  • Topics
    • My List
    • Felix Guide
    • Asset Management
    • Coding and Data Analysis
      • Data Analysis and Visualization
      • Financial Data Tools
      • Python
      • SQL
    • Credit
      • Credit Analysis
      • Restructuring
    • Financial Literacy Essentials
      • Financial Data Tools
      • Financial Math
      • Foundations of Accounting
    • Industry Specific
      • Banks
      • Chemicals
      • Consumer
      • ESG
      • Insurance
      • Oil and Gas
      • Pharmaceuticals
      • Project Finance
      • Real Estate
      • Renewable Energy
      • Technology
      • Telecoms
    • Introductory Courses
    • Investment Banking
      • Accounting
      • Financial Modeling
      • M&A and Divestitures
      • Private Debt
      • Private Equity
      • Valuation
      • Venture Capital
    • Markets
      • Economics
      • Equity Markets and Derivatives
      • Fixed Income and Derivatives
      • Introduction to Markets
      • Options and Structured Products
      • Other Capital Markets
      • Securities Services
    • Microsoft Office
      • Excel
      • PowerPoint
      • Word & Outlook
    • Professional Skills
      • Career Development
      • Expert Interviews
      • Interview Skills
    • Risk Management
    • Transaction Banking
    • Felix Live
  • Pathways
    • Investment Banking
    • Asset Management
    • Equity Research
    • Sales and Trading
    • Commercial Banking
    • Engineering
    • Operations
    • Private Equity
    • Credit Analysis
    • Restructuring
    • Venture Capital
    • CFA Institute
  • Certified Courses
  • Ask An Instructor
  • Support
  • Log in
  • Topics
    • My List
    • Felix Guide
    • Asset Management
    • Coding and Data Analysis
      • Data Analysis and Visualization
      • Financial Data Tools
      • Python
      • SQL
    • Credit
      • Credit Analysis
      • Restructuring
    • Financial Literacy Essentials
      • Financial Data Tools
      • Financial Math
      • Foundations of Accounting
    • Industry Specific
      • Banks
      • Chemicals
      • Consumer
      • ESG
      • Insurance
      • Oil and Gas
      • Pharmaceuticals
      • Project Finance
      • Real Estate
      • Renewable Energy
      • Technology
      • Telecoms
    • Introductory Courses
    • Investment Banking
      • Accounting
      • Financial Modeling
      • M&A and Divestitures
      • Private Debt
      • Private Equity
      • Valuation
      • Venture Capital
    • Markets
      • Economics
      • Equity Markets and Derivatives
      • Fixed Income and Derivatives
      • Introduction to Markets
      • Options and Structured Products
      • Other Capital Markets
      • Securities Services
    • Microsoft Office
      • Excel
      • PowerPoint
      • Word & Outlook
    • Professional Skills
      • Career Development
      • Expert Interviews
      • Interview Skills
    • Risk Management
    • Transaction Banking
    • Felix Live
  • Pathways
    • Investment Banking
    • Asset Management
    • Equity Research
    • Sales and Trading
    • Commercial Banking
    • Engineering
    • Operations
    • Private Equity
    • Credit Analysis
    • Restructuring
    • Venture Capital
    • CFA Institute
  • Certified Courses
Felix
  • Data
    • Company Analytics
    • My Filing Annotations
    • Market & Industry Data
    • United States
    • Relative Valuation
    • Discount Rate
    • Building Forecasts
    • Capital Structure Analysis
    • Europe
    • Relative Valuation
    • Discount Rate
    • Building Forecasts
    • Capital Structure Analysis
  • Models
  • Account
    • Edit my profile
    • My List
    • Restart Homepage Tour
    • Restart Company Analytics Tour
    • Restart Filings Tour
  • Log in
  • Ask An Instructor
    • Email Our Experts
    • Felix User Guide
    • Contact Support

Portfolio Risk and Return

Portfolio risk and return considers how risks within a portfolio context are typically quantified. As well as the math behind quantifying risk, including standard deviation, beta, correlation, and covariance.

Unlock Your Certificate   
 
0% Complete

11 Lessons (53m)

Show lesson playlist
  • Description & Objectives

  • 1. Portfolio Risk and Measures (Recap)

    02:26
  • 2. Measuring Risk and Beta

    05:31
  • 3. Calculating Beta

    05:34
  • 4. Measuring Risk and Beta Workout

    03:43
  • 5. Covariance and Correlation Calculations

    06:38
  • 6. Covariance and Correlation Workout

    04:30
  • 7. Covariance and Correlation Portfolio Implications

    07:15
  • 8. Portfolio Risk Workout

    03:40
  • 9. Benefits of Diversification Two Asset Portfolio

    05:31
  • 10. Benefits of Diversification Multiple Asset Classes

    07:16
  • 11. Portfolio Risk and Return Tryout


Prev: Portfolio Risk Next: Modern Portfolio Theory

Benefits of Diversification Two Asset Portfolio

  • Notes
  • Questions
  • Transcript
  • 05:31

The benefits to a portfolio from holding a number of assets.

Downloads

No associated resources to download.

Glossary

Diversification portfolio risk
Back to top
Financial Edge Training

© Financial Edge Training 2025

Topics
Introduction to Finance Accounting Financial Modeling Valuation M&A and Divestitures Private Equity
Venture Capital Project Finance Credit Analysis Transaction Banking Restructuring Capital Markets
Asset Management Risk Management Economics Data Science and System
Request New Content
System Account User Guide Privacy Policy Terms & Conditions Log in
Transcript

benefits of diversification don't put all your eggs in one basket is a common expression.

In investing terms, it means not risking everything by putting all of your investment assets into any one specific company or security. The goal of diversification is not necessarily to boost performance. It won't ensure gains or guarantee against losses. However, diversification does have the potential to improve returns for the level of risk, you choose to Target in other words improving portfolio efficiency.

diversification can be achieved on many levels Securities sectors asset classes countries portfolio characteristics and even exposure to different types of risk factors can be Diversified the covariance in correlations are the key for diversification. Let's look at an example a major reason that portfolios can effectively reduce risk. Is that combining security whose returns to not move together provides diversification sometimes a subset of assets will go up in value at the same time that another will go down in value the fact that these May offset each other creates the potential diversification benefit. We attribute to portfolios.

Recall that combining Securities whose returns are less than perfectly correlated reduces the standard deviation of the Diversified portfolio below the weighted average of the standard deviations of the individual Investments.

So while we can use a simple weighted average of the expected returns of Assets in the portfolio, when we evaluate risk, we need to measure not just the standard deviation of individual assets, but also their correlation.

The expected return formula is a simple weighted average in this example. We can see the expected return multiplied by the waiting for the asset a added to the same for asset b equals 11.6% the portfolio risk formula calculates the weighted standard deviation, but also considers how the two assets move together their correlation.

It is an imposing formula. So let's take a more detailed. Look at the calculations.

The first two parts of the formula are taking the weighted average standard deviation. The third part of the formula is calculating the correlation of the two assets using our examples figures. We reach a risk of 14.98% Now, let's see how that compares to investing in the assets individually.

Instead of investing 100% asset a the investor combined it with investing in asset B, which is a riskier asset given its higher standard deviation. Therefore the return increases versus 100% in asset a and the risk decreases the combination of the two assets results in a superior risk return trade-off in this example, the investor gets the weighted average return of the assets, but critically they get that return for a lower overall risk than the two assets individually. This is the power of diversification.

The example above illustrates the returns and standard deviations of two assets Home Depot's common stock and Microsoft's common stock individually Home Depot has a standard deviation of 5.6 and Microsoft has 6.0. However combined together in a 50/50 portfolio the standard deviation drops to 5.4 lower than both assets individually using the capital asset pricing model. Home Depot is return is 7.4 percent while Microsoft is 7.85% combined with a 50/50 portfolio. The return is a simple way to average of 7.63 percent therefore by combining these two assets. We are getting the same return but for a lower risk looking back at the ways to achieve diversification these stocks operate in different sectors and operational geographies consumer discretionary for Home Depot versus technology from Microsoft.

North America for Home Depot versus global for Microsoft however, both being large cap us-based stocks. They still have a relatively High positive correlation of 0.75 while the combination is helped to reduce risk. The benefit is in this great compared to a different stock with a lower correlation.

Remember, there are two types of risk systematic and unsystematic, unsystematic risk can be minimized through diversification. Whereas a level of systematic or Market risk will always remain events such as a recession can't be predicted easily and assets risk should be measured in relation to the remaining systematic risk, which should be the only risk that affects the assets price and expected return since investors can minimize on systematic risk by properly diversifying portfolios.

They are not compensated for bearing it as the chart suggests. The incremental benefits derived from diversification begin to decline as more Securities are added.

Content Requests and Questions

You are trying to access premium learning content.

Discover our full catalogue and purchase a course Access all courses with our premium plans or log in to your account
Help

You need an account to contact support.

Create a free account or log in to an existing one

Sorry, you don't have access to that yet!

You are trying to access premium learning content.

Discover our full catalogue and purchase a course Access all courses with our premium plans or log in to your account

You have reached the limit of annotations (10) under our premium subscription. Upgrade to unlock unlimited annotations.

Find out more about our premium plan

You are trying to access content that requires a free account. Sign up or login in seconds!

Create a free account or log in to an existing one

You are trying to access content that requires a premium plan.

Find out more about our premium plan or log in to your account

Only US listed companies are available under our Free and Boost plans. Upgrade to Pro to access over 7,000 global companies across the US, UK, Canada, France, Italy, Germany, Hong Kong and more.

Find out more about our premium plan or log in to your account

A pro account is required for the Excel Add In

Find out more about our premium plan

Congratulations on completing

This field is hidden when viewing the form
Name(Required)
This field is hidden when viewing the form
Rate this course out of 5, where 5 is excellent and 1 is terrible.
Were the stated learning objectives met?(Required)
Were the stated prerequisite requirements appropriate and sufficient?(Required)
Were the program materials, including the qualified assessment, relevant and did they contribute to the achievement of the learning objectives?(Required)
Was the time allotted to the learning activity appropriate?(Required)
Are you happy for us to use your feedback and details in future marketing?(Required)

Thank you for already submitting feedback for this course.

CPE

What is CPE?

CPE stands for Continuing Professional Education, by completing learning activities you earn CPE credits to retain your professional credentials. CPE is required for Certified Public Accountants (CPAs). Financial Edge Training is registered with the National Association of State Boards of Accountancy (NASBA) as a sponsor of continuing professional education on the National Registry of CPE Sponsors.

What are CPE credits?

For self study programs, 1 CPE credit is awarded for every 50 minutes of elearning content, this includes videos, workouts, tryouts, and exams.

CPE Exams

You must complete the CPE exam within 1 year of accessing a related playlist or course to earn CPE credits. To see how long you have left to complete a CPE exam, hover over the locked CPE credits button.

What if I'm not collecting CPE credits?

CPE exams do not count towards your FE certification. You do not need to complete the CPE exam if you are not collecting CPE credits, but you might find it useful for your own revision.


Further Help
  • Felix How to Guide walks you through the key functions and tools of the learning platform.
  • Playlists & Tryouts: Playlists are a collection of videos that teach you a specific skill and are tested with a tryout at the end. A tryout is a quiz that tests your knowledge and understanding of what you have just learned.
  • Exam: If you are collecting CPE points you must pass the relevant CPE exam within 1 year to receive credits.
  • Glossary: A glossary can be found below each video and provides definitions and explanations for terms and concepts. They are organized alphabetically to make it easy for you to find the term you need.
  • Search function: Use the Felix search function on the homepage to find content related to what you want to learn. Find related video content, lessons, and questions people have asked on the topic.
  • Closed Captions & Transcript: Closed captions and transcripts are available on videos. The video transcript can be found next to the closed captions in the video player. The transcript feature allows you to read the transcript of the video and search for key terms within the transcript.
  • Questions: If you have questions about the course content, you will find a section called Ask a Question underneath each video where you can submit questions to our expert instructor team.