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# Optimal Portfolio definition and tutorial

Practitioners know the optimal portfolio is no magic bullet. It isn't a destination. It's a starting point.
1. Define - Define optimal portfolio.
2. Context - Use it in a sentence.
3. Video - See the video.
4. Script - Read the transcript.
5. Quiz - Test your knowledge.
###### by Paul Alan Davis, CFA, October 8, 2016
Updated: December 16, 2018
##### To balance theory with practice is a differentiator for aspiring portfolio managers. Keep reading to learn more.

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## Optimal Portfolio

Intermediate

Optimal portfolio is a term used in portfolio theory to refer to the one portfolio on the Efficient Frontier with the highest return-to-risk combination given the specific investor's tolerance for risk. It's the point where the Efficient Frontier (supply) and the Indifference Curve (demand) meet.

Synonym: Optimal Set

### In a Sentence

Doc:  The theoretically optimal portfolio  is based on estimates from historical periods.
Lia:  Why is it called 'Optimal' if we know the future will never be like the past?

### Video

This video can be accessed in a new window or App here , at the YouTube Channel or from below.

Optimal Portfolio definition for investment modeling (4:45)

### Video Script

The script includes two sections where we visualize and demonstrate the concept of the Optimal Portfolio.

#### Visualize

We're sitting in Excel and this is a snippet from our boot camp course (Quant 101).

There we cover all of the curves, lines and dots shown here in one 40-minute video, but because most people don't have that much time, we have eleven separate 4-5 minute videos just like this one. I'll provide a link to the boot camp video Portfolio Theory (opens in a new window) at the end if you'd like the whole story.

Ok, let's keep it simple and focus on the Optimal Portfolio, which is part of Modern Portfolio Theory, developed by Harry Markowitz in the 1950s.

First of all, we have a chart, with expected return on the y-axis and expected risk on the x-axis. Here we are using the expected timeframe, which uses past observations as input, then after making adjustments, you have what is baked-in to market expectations. Of course there is a lot to setting expectations, and that is the focus of the boot camp.

Now, the Optimal Portfolio, marked OP here, is where one investor's Indifference Curve, in light green meets the top of the Efficient Frontier.

The Efficient Frontier is the dark green line that represents the highest level of return at each level of risk from all of the millions of portfolios invested in all risky assets around the world.

So this is a very theoretical concept and only institutional investors with their portfolio optimization programs go through this, and even then quantifying risk tolerance is difficult, if not impossible. Also, for academic theories to work, scholars include a list of assumptions, meaning holding other variables constant. And here is a list of assumptions to review later.

#### Demonstrate

Let's demonstrate this by talking about two points on the Indifference Curve and thinking about the word indifference. Here the client would require a higher rate of return to accept this higher level of risk. Because these curves don't cross there is no match between supply and demand.

And as we slide up the curve, to another spot where the investor would be indifferent, and be willing to accept higher risk for higher return. Right there, at the OP, the market supply, or portfolios offered by the market here match what the investor is willing to accept, so there is a match between supply and demand. This is the point called the Optimal Portfolio.

Keep in mind that a risk-averse investor, like a retiree, may have a curve way above this one, and they'd be less willing to accept market risk.

### Quiz

The Optimal Portfolio should be considered a preliminary portfolio because it is based on estimates. | True or False?

True

Still unclear on the Optimal Portfolio? Leave a question in the comments section on YouTube.

### Related Terms

Our trained humans found other terms in the category Modern Portfolio Theory you may find helpful.

## What's Next?

• To see all terms in the Glossary, click Outline.
• To learn about the opportunity set, click Back.
• To review the less theoretical term optimization, click Next.

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