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Efficient Frontier                         

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  1. Definition
  2. Examples, Types, or Variations
  3. Formula
  4. Related Terms
  5. As Used in the Hedge Fund World
  6. Applications
  7. Misused & Abused
  8. Additional Sources of Information
    1. Books
    2. News
    3. Scholarly Papers
       
 

1.
 

Definition
 
  Every possible asset combination can be plotted in risk-return space, and the collection of all such possible portfolios defines a region in this space. The line along the upper edge of this region is known as the efficient frontier (sometimes “the Markowitz frontier”). Combinations along this line represent portfolios (explicitly excluding the risk-free alternative) for which there is lowest risk for a given level of return. Conversely, for a given amount of risk, the portfolio lying on the efficient frontier represents the combination offering the best possible return.

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2.
 

Examples, Types, or Variations
 
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The CAPM assumes that the risk-return profile of a portfolio can be optimized - an optimal portfolio displays the lowest possible level of risk for its level of return. Additionally, since each additional asset introduced into a portfolio further diversifies the portfolio, the optimal portfolio must comprise every asset, (assuming no trading costs) with each asset value-weighted to achieve the above (assuming that any asset is infinitely divisible). All such optimal portfolios, i.e., one for each level of return, comprise the efficient (Markowitz) frontier.


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3.
 

Formula
 
  Mathematically the Efficient Frontier is the intersection of the Set of Portfolios with Minimum Variance and the Set of Portfolios with Maximum Return.

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Related Terms
 
 

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5.
 

As Used in the Hedge Fund World
 
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  • Duke University: In recent years, there has been much research conducted which demonstrates the benefits of including hedge funds in the traditional portfolio. Jaeger’s [2001] study has shown that hedge funds dramatically improve the efficient frontier of the traditional portfolio, producing significantly higher returns with substantially lower risk. More…
     
  • MoneyManagement.com.au: Hatfield says if it were left up to efficient frontier theory to create an asset allocation, it would identify hedge funds as the investment class that should have the heaviest weighting due to their ability to respond to market movements proactively rather than reactively. More…


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Applications
 
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  • Guided Choice: Staying on the Efficient Frontier — A Rebalancing Act. Once you have found a portfolio along the Efficient Frontier that satisfactorily offers an expected rate of return for your assumed degree of risk, there remains the act of ensuring that your portfolio remains efficient throughout the swings in the economy. This task is known as rebalancing. More…


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7.
 

Misused & Abused
 
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  • Max Wideman: Inability to Find the Efficient Frontier. Most organizations fail to find the best project portfolios and, therefore, do not create all of the value available. Inability to find the efficient frontier is the fifth reason organizations choose the wrong projects. More…
     

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