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Session 1 – Portfolio Management Facts
           and One Little Known “Secret”




© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com
Disclosure
        The Model Portfolios seek to obtain better long-term results than the S&P 500, but at a lower risk level. The depending
         on the portfolio, models include mutual funds or stocks and a short-term Treasuries fund as a risk-adjustment
         mechanism. The risk-free, short-term Treasuries fund helps ensure that the models maintain optimal risk-adjusted
         returns in accordance with Modern Portfolio Theory. The model portfolios' allocations to this fund have ranged from
         2% to 99%. The volatility of the Model Portfolios may be materially different than the benchmark because it does not
         invest in only equity securities tracked by the S&P 500 Index.

        Model Portfolio returns shown were calculated with the mutual funds or stocks used in the Model Portfolios (“Model
         Portfolio”) and the allocations currently recommended by Sigma Advantage Investments, LLC (“SAI”). Historically, the
         Model Portfolios may have had different allocations among the mutual funds or stocks and the Treasuries mutual fund
         and may have had different mutual funds or stocks within a particular portfolio. The returns are not actual returns nor
         do they reflect actual trading. Actual results for investors who were invested in accordance with the Model Portfolios
         during the same time periods shown may have been higher or lower than the Model Portfolios' results.

        Model Portfolio performance and historical benchmarks results were calculated assuming reinvestment of all
         distributions and other earnings; they do not reflect the effects of income or other taxes.

        The performance results shown are presented net of all costs associated with investments in the mutual funds or stocks
         and the Treasuries mutual fund, such as management fees, transaction costs, and custodial service costs incurred by
         the mutual funds and transaction costs incurred with stock investing. The Model Portfolio performance results also
         reflect the deduction of fees charged by SAI for investment advisory services and by its third party custodian.
         Investment advisor fees reflected in the Model Portfolio performance results have been calculated using SAI’s highest
         annual rate of 0.75% and the third party custodian fee of 0.25%. Actual SAI fees charged to clients decline from this
         rate based on the amount of assets invested.


© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com                                 2
Disclosure
        Benchmarks or indices are used to track current and historical market performance by specific market segment (e.g.,
         large/small capitalization) or investment style (e.g., growth/value) and are meant to provide a basis for comparison.
         Indices are unmanaged, pay no transaction fees, reflect past performance and typically reflect the reinvestment of
         dividends or income. For comparison purposes, the unmanaged indices are fully invested and returns are gross of
         investment management fees. Investors cannot invest directly in these unmanaged indices.

        We use the S&P 500 index because it is a capitalization-weighted index consisting of 500 stocks chosen for large
         market size, liquidity, and industry diversification, among other factors. It is designed to be a widely used indicator of
         the U.S. economy and reflects the risk/return characteristics of the large-cap universe. The S&P 500 index is
         unmanaged, does not incur fees, and cannot be invested in directly. Because the Model Portfolio may invest in stocks
         whose securities may not be tracked by this index, the volatility of the Model Portfolio may be materially different than
         this benchmark.

        Investing in non-U.S. securities may entail higher risk due to non-U.S. currency fluctuations and political or economic
         uncertainty which may be especially heightened when investing in emerging markets. Diversification does not ensure
         against loss.




© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com                                   3
Define the Problem
    How can I improve my investments’ performance?




© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com     4
Define the Problem
    I don’t know how much risk my advisor is taking to
      obtain better returns.




© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com     5
Define the Problem
    Everything I read says that…




    If this is true, then how can I be sure that anyone can do
       better than the market?

                    Short Answer: You can’t.




© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com               6
Define the Problem
    Efficient Market Theory says that generally stock prices
  already reflect all known information at any point in time,
     therefore index-based investing is the only way to go.




© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com     7
Portfolio Management Facts
    Less than 50% of Portfolio Managers match or outperform their
      benchmarks over 3-year and 5-year periods. (Standard & Poor’s
      Indices Versus Active Funds (SPIVA) Scorecard, August 2011)
           Percentage of U.S. Equity Funds Outperformed by Benchmarks
           All Domestic Equity Funds vs. S&P Composite 1500
           Period Ending                        One Year                  Three Years                 Five Years
           December 2011                          84.07%                      56.53%                     61.88%
           June 2011                              48.99%                       55.16%                    58.27%
           December 2010                           49.31%                      51.68%                    57.63%
           June 2010                              55.98%                      55.58%                     60.64%
           December 2009                           41.67%                     54.06%                     60.61%
        Source: S&P Indices, CRSP. Outperformance is based upon equal weighted fund counts. All index returns used are
        total returns. Charts are provided for illustrative purposes. Past performance is not a guarantee of future results.

© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com                                  8
Better Returns With Less Risk
Note: Model portfolios do not reflect actual trading costs, the effect taxes, or other costs associated with investing in mutual
funds or stocks. See disclosure on the beginning slides for more information.




 © 2012 Sigma Advantage Investments
 www.sigmadvantageinvestments.com                                  9
How Risk Is Measured
Risk is measured by
the Standard
Deviation of an
investment’s
monthly returns.




© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com     10
How To Reduce Risk
                                     Diversification
                      Invest in a variety of assets that do not move
                             up and down at the same time.

                         In other words, less correlation in returns
                           equals higher level of diversification.



© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com             11
How to Reduce Risk
           For illustrative purposes only. Stock and portfolio returns are hypothetical and not indicative of any investment.




                   Risk (Std Dev): 0.71%                                           Risk (Std Dev): 1.43%
                  Average Return: 5.00%                                           Average Return: 5.00%




© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com                                   12
How to Reduce Risk
           For illustrative purposes only. Stock and portfolio returns are hypothetical and not indicative of any investment.


                 Perfectly Negatively Correlated                               Perfectly Positively Correlated




                               Portfolio 1                                                  Portfolio 2
                              Which is the better investment?


© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com                                   13
How to Reduce Risk
           For illustrative purposes only. Stock and portfolio returns are hypothetical and not indicative of any investment.


                 Perfectly Negatively Correlated                               Perfectly Positively Correlated




                              Portfolio 1                                                  Portfolio 2
                   Risk (Std Dev): 0.36%                                           Risk (Std Dev): 1.07%
                  Average Return: 5.00%                                           Average Return: 5.00%
                                     Stock 1                                                  Stock 2
                   Risk (Std Dev): 0.71%                                           Risk (Std Dev): 1.43%
                  Average Return: 5.00%                                           Average Return: 5.00%
© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com                                   14
How to Reduce Risk
           For illustrative purposes only. Stock and portfolio returns are hypothetical and not indicative of any investment.


                 Highly Negatively Correlated                                  Highly Positively Correlated




                               Portfolio                                                    Portfolio
                   Risk (Std Dev): 0.38%                                           Risk (Std Dev): 1.06%
                  Average Return: 5.00%                                           Average Return: 5.00%
                                     Stock 1                                                  Stock 2
                   Risk (Std Dev): 0.71%                                           Risk (Std Dev): 1.43%
                  Average Return: 5.00%                                           Average Return: 5.00%
© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com                                   15
How to Reduce Risk
           For illustrative purposes only. Stock and portfolio returns are hypothetical and not indicative of any investment.




                                                            Portfolio
                                                  Risk (Std Dev): 0.78%
                                                 Average Return: 5.00%
                                     Stock 1                                                  Stock 2
                   Risk (Std Dev): 0.71%                                           Risk (Std Dev): 1.43%
                  Average Return: 5.00%                                           Average Return: 5.00%
© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com                                   16
How to Reduce Risk
           For illustrative purposes only. Stock and portfolio returns are hypothetical and not indicative of any investment.

                Which is the best investment from a risk & return standpoint?

           Perfectly Negatively Correlated                                                   Perfectly Positively Correlated



                         Highly Negatively Correlated                                Highly Positively Correlated




© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com                                   17
How to Reduce Risk
           For illustrative purposes only. Stock and portfolio returns are hypothetical and not indicative of any investment.

                Which is the best investment from a risk & return standpoint?


           Perfectly Negatively Correlated                                                   Perfectly Positively Correlated



                         Highly Negatively Correlated                                Highly Positively Correlated




© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com                                   18
Risk’s Relationship to Return
                                                                                                                                              Apple                                                                                                                                                                                                                                                                                                            Google
                                                                                                                                                  Apple (AAPL)                                                                                                                                                                                                                                                                                                              Google (GOOG)
                                 140.00%
                                                                                                                                                                Trailing 12-                                                                                                                           $60,000.0                                                                80.00%

                                                                                                                                                                                                                                                                                                                                                                                                                                                                           Trailing 12-
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             $30,000.0




                                 120.00%
                                                                                                                                                                Month Sales                                                                                                                                                                                                     70.00%
                                                                                                                                                                                                                                                                                                                                                                                                                                                                           Month Sales
                                                                                                                                                                    3-Year Return                                                                                                                      $50,000.0
                                                                                                                                                                                                                                                                                                                                                                                60.00%
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             $25,000.0


                                 100.00%

                                                                                                                                                                                                                                                                                                                                                                                50.00%


                                 80.00%
                                                                                                                                                                                                                                                                                                       $40,000.0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    3-Year Risk                                              $20,000.0




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         12 Month Sales (Millions)
                                                                                                                                                                                                                                                                                                                   12 Month Sales (Millions)
     Risk (Std Dev) and Return




                                                                                                                                                                                                                                                                                                                                                    Risk (Std Dev) and Return
                                                                                                                                                                                                                                                                                                                                                                                40.00%



                                 60.00%                                                                                                                                                                                                                                                                $30,000.0                                                                30.00%                                                                                                                                                                                                       $15,000.0



                                                                                                                                                                                                                                                                                                                                                                                20.00%
                                 40.00%
                                                                                                                                                                                                                                                                                                       $20,000.0                                                                                                                                                                                                          3-Year Return                                                      $10,000.0

                                                                                                            3-Year Risk                                                                                                                                                                                                                                                         10.00%

                                 20.00%

                                                                                                                                                                                                                                                                                                                                                                                 0.00%
                                                                                                                                                                                                                                                                                                       $10,000.0

                                                                                                                                                                                                                                                                                                                                                                                          6/1/2006


                                                                                                                                                                                                                                                                                                                                                                                                     9/1/2006




                                                                                                                                                                                                                                                                                                                                                                                                                            3/1/2007


                                                                                                                                                                                                                                                                                                                                                                                                                                       6/1/2007




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       6/1/2008


                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  9/1/2008




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         3/1/2009




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                9/1/2009




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       3/1/2010


                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  6/1/2010
                                                                                                                                                                                                                                                                                                                                                                                                                                                    9/1/2007




                                                                                                                                                                                                                                                                                                                                                                                                                                                                            3/1/2008




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     6/1/2009
                                                                                                                                                                                                                                                                                                                                                                                                                12/1/2006




                                                                                                                                                                                                                                                                                                                                                                                                                                                               12/1/2007




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             12/1/2008




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           12/1/2009
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             $5,000.0
                                   0.00%
                                                                                                                                                                                                                                                                                                                                                                                -10.00%
                                           Sep-03




                                                                               Sep-04




                                                                                                                   Sep-05




                                                                                                                                                       Sep-06




                                                                                                                                                                                           Sep-07




                                                                                                                                                                                                                               Sep-08




                                                                                                                                                                                                                                                                   Sep-09
                                                                      Jun-04




                                                                                                          Jun-05




                                                                                                                                              Jun-06




                                                                                                                                                                                  Jun-07




                                                                                                                                                                                                                      Jun-08




                                                                                                                                                                                                                                                          Jun-09




                                                                                                                                                                                                                                                                                              Jun-10
                                                    Dec-03




                                                                                        Dec-04




                                                                                                                            Dec-05




                                                                                                                                                                Dec-06




                                                                                                                                                                                                    Dec-07




                                                                                                                                                                                                                                        Dec-08




                                                                                                                                                                                                                                                                            Dec-09
                                                             Mar-04




                                                                                                 Mar-05




                                                                                                                                     Mar-06




                                                                                                                                                                         Mar-07




                                                                                                                                                                                                             Mar-08




                                                                                                                                                                                                                                                 Mar-09




                                                                                                                                                                                                                                                                                     Mar-10




                                 -20.00%                                                                                                                                                                                                                                                               $-                                                                       -20.00%                                                                                                                                                                                                      $-
                                                                                                                   3 yr Return                           3 yr Std Dev                               Trailing 12 mth Sales (M)                                                                                                                                                                                                                     3 yr Return                     3 yr Std Dev               Trailing 12 mth Sales (M)




                    Source: Yahoo Finance, Sigma Advantage Investments. Charts are provided for illustrative purposes. Past performance
                    is not a guarantee of future results.

© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com                                                                                                                                                                                                                                                                                                               19
The Efficient Frontier
       • A major component of
         Modern Portfolio
         Theory (MPT).
       • Shows the relationship
         of risk and returns of
         portfolios that
         maximize return for
         a given level of risk.
       • Composed of a range
         of mixes from 100%
         stocks to 100% bonds.



© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com     20
The Efficient Frontier 1960 - 2010




                                                                    Inversion!



                    Source: Rydex | SGI, Ibbotson Associates
© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com                               21
The Efficient Frontier &
  The Capital Market Line




© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com     22
The Efficient Frontier &
  The Capital Market Line




© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com     23
The Efficient Frontier &
  The Capital Market Line




© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com     24
Portfolio Design
     With the Capital Market Line (CML) and the Efficient
      Frontier, you can “design” a portfolio for any given
      risk level.
     To further increase risk and “potentially” obtain
      greater returns, you can leverage by borrowing money
      to invest in the optimal risky portfolio.
     Problem with leverage approach…
             you can only borrow at rates higher than the risk free
                rate!


© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com       25
Next Session
    Mutual Fund Analysis, Selection & Portfolio Design
             How to determine the “best” investment.
             Risk Adjusted Return
             Fundamental versus Technical Analysis
             Available Resources




© 2012 Sigma Advantage Investments
www.sigmadvantageinvestments.com     26

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The Secrets to Long Term Investing Success - Session 1

  • 1. Session 1 – Portfolio Management Facts and One Little Known “Secret” © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com
  • 2. Disclosure  The Model Portfolios seek to obtain better long-term results than the S&P 500, but at a lower risk level. The depending on the portfolio, models include mutual funds or stocks and a short-term Treasuries fund as a risk-adjustment mechanism. The risk-free, short-term Treasuries fund helps ensure that the models maintain optimal risk-adjusted returns in accordance with Modern Portfolio Theory. The model portfolios' allocations to this fund have ranged from 2% to 99%. The volatility of the Model Portfolios may be materially different than the benchmark because it does not invest in only equity securities tracked by the S&P 500 Index.  Model Portfolio returns shown were calculated with the mutual funds or stocks used in the Model Portfolios (“Model Portfolio”) and the allocations currently recommended by Sigma Advantage Investments, LLC (“SAI”). Historically, the Model Portfolios may have had different allocations among the mutual funds or stocks and the Treasuries mutual fund and may have had different mutual funds or stocks within a particular portfolio. The returns are not actual returns nor do they reflect actual trading. Actual results for investors who were invested in accordance with the Model Portfolios during the same time periods shown may have been higher or lower than the Model Portfolios' results.  Model Portfolio performance and historical benchmarks results were calculated assuming reinvestment of all distributions and other earnings; they do not reflect the effects of income or other taxes.  The performance results shown are presented net of all costs associated with investments in the mutual funds or stocks and the Treasuries mutual fund, such as management fees, transaction costs, and custodial service costs incurred by the mutual funds and transaction costs incurred with stock investing. The Model Portfolio performance results also reflect the deduction of fees charged by SAI for investment advisory services and by its third party custodian. Investment advisor fees reflected in the Model Portfolio performance results have been calculated using SAI’s highest annual rate of 0.75% and the third party custodian fee of 0.25%. Actual SAI fees charged to clients decline from this rate based on the amount of assets invested. © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 2
  • 3. Disclosure  Benchmarks or indices are used to track current and historical market performance by specific market segment (e.g., large/small capitalization) or investment style (e.g., growth/value) and are meant to provide a basis for comparison. Indices are unmanaged, pay no transaction fees, reflect past performance and typically reflect the reinvestment of dividends or income. For comparison purposes, the unmanaged indices are fully invested and returns are gross of investment management fees. Investors cannot invest directly in these unmanaged indices.  We use the S&P 500 index because it is a capitalization-weighted index consisting of 500 stocks chosen for large market size, liquidity, and industry diversification, among other factors. It is designed to be a widely used indicator of the U.S. economy and reflects the risk/return characteristics of the large-cap universe. The S&P 500 index is unmanaged, does not incur fees, and cannot be invested in directly. Because the Model Portfolio may invest in stocks whose securities may not be tracked by this index, the volatility of the Model Portfolio may be materially different than this benchmark.  Investing in non-U.S. securities may entail higher risk due to non-U.S. currency fluctuations and political or economic uncertainty which may be especially heightened when investing in emerging markets. Diversification does not ensure against loss. © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 3
  • 4. Define the Problem How can I improve my investments’ performance? © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 4
  • 5. Define the Problem I don’t know how much risk my advisor is taking to obtain better returns. © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 5
  • 6. Define the Problem Everything I read says that… If this is true, then how can I be sure that anyone can do better than the market? Short Answer: You can’t. © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 6
  • 7. Define the Problem Efficient Market Theory says that generally stock prices already reflect all known information at any point in time, therefore index-based investing is the only way to go. © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 7
  • 8. Portfolio Management Facts Less than 50% of Portfolio Managers match or outperform their benchmarks over 3-year and 5-year periods. (Standard & Poor’s Indices Versus Active Funds (SPIVA) Scorecard, August 2011) Percentage of U.S. Equity Funds Outperformed by Benchmarks All Domestic Equity Funds vs. S&P Composite 1500 Period Ending One Year Three Years Five Years December 2011 84.07% 56.53% 61.88% June 2011 48.99% 55.16% 58.27% December 2010 49.31% 51.68% 57.63% June 2010 55.98% 55.58% 60.64% December 2009 41.67% 54.06% 60.61% Source: S&P Indices, CRSP. Outperformance is based upon equal weighted fund counts. All index returns used are total returns. Charts are provided for illustrative purposes. Past performance is not a guarantee of future results. © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 8
  • 9. Better Returns With Less Risk Note: Model portfolios do not reflect actual trading costs, the effect taxes, or other costs associated with investing in mutual funds or stocks. See disclosure on the beginning slides for more information. © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 9
  • 10. How Risk Is Measured Risk is measured by the Standard Deviation of an investment’s monthly returns. © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 10
  • 11. How To Reduce Risk Diversification Invest in a variety of assets that do not move up and down at the same time. In other words, less correlation in returns equals higher level of diversification. © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 11
  • 12. How to Reduce Risk For illustrative purposes only. Stock and portfolio returns are hypothetical and not indicative of any investment. Risk (Std Dev): 0.71% Risk (Std Dev): 1.43% Average Return: 5.00% Average Return: 5.00% © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 12
  • 13. How to Reduce Risk For illustrative purposes only. Stock and portfolio returns are hypothetical and not indicative of any investment. Perfectly Negatively Correlated Perfectly Positively Correlated Portfolio 1 Portfolio 2 Which is the better investment? © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 13
  • 14. How to Reduce Risk For illustrative purposes only. Stock and portfolio returns are hypothetical and not indicative of any investment. Perfectly Negatively Correlated Perfectly Positively Correlated Portfolio 1 Portfolio 2 Risk (Std Dev): 0.36% Risk (Std Dev): 1.07% Average Return: 5.00% Average Return: 5.00% Stock 1 Stock 2 Risk (Std Dev): 0.71% Risk (Std Dev): 1.43% Average Return: 5.00% Average Return: 5.00% © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 14
  • 15. How to Reduce Risk For illustrative purposes only. Stock and portfolio returns are hypothetical and not indicative of any investment. Highly Negatively Correlated Highly Positively Correlated Portfolio Portfolio Risk (Std Dev): 0.38% Risk (Std Dev): 1.06% Average Return: 5.00% Average Return: 5.00% Stock 1 Stock 2 Risk (Std Dev): 0.71% Risk (Std Dev): 1.43% Average Return: 5.00% Average Return: 5.00% © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 15
  • 16. How to Reduce Risk For illustrative purposes only. Stock and portfolio returns are hypothetical and not indicative of any investment. Portfolio Risk (Std Dev): 0.78% Average Return: 5.00% Stock 1 Stock 2 Risk (Std Dev): 0.71% Risk (Std Dev): 1.43% Average Return: 5.00% Average Return: 5.00% © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 16
  • 17. How to Reduce Risk For illustrative purposes only. Stock and portfolio returns are hypothetical and not indicative of any investment. Which is the best investment from a risk & return standpoint? Perfectly Negatively Correlated Perfectly Positively Correlated Highly Negatively Correlated Highly Positively Correlated © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 17
  • 18. How to Reduce Risk For illustrative purposes only. Stock and portfolio returns are hypothetical and not indicative of any investment. Which is the best investment from a risk & return standpoint? Perfectly Negatively Correlated Perfectly Positively Correlated Highly Negatively Correlated Highly Positively Correlated © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 18
  • 19. Risk’s Relationship to Return Apple Google Apple (AAPL) Google (GOOG) 140.00% Trailing 12- $60,000.0 80.00% Trailing 12- $30,000.0 120.00% Month Sales 70.00% Month Sales 3-Year Return $50,000.0 60.00% $25,000.0 100.00% 50.00% 80.00% $40,000.0 3-Year Risk $20,000.0 12 Month Sales (Millions) 12 Month Sales (Millions) Risk (Std Dev) and Return Risk (Std Dev) and Return 40.00% 60.00% $30,000.0 30.00% $15,000.0 20.00% 40.00% $20,000.0 3-Year Return $10,000.0 3-Year Risk 10.00% 20.00% 0.00% $10,000.0 6/1/2006 9/1/2006 3/1/2007 6/1/2007 6/1/2008 9/1/2008 3/1/2009 9/1/2009 3/1/2010 6/1/2010 9/1/2007 3/1/2008 6/1/2009 12/1/2006 12/1/2007 12/1/2008 12/1/2009 $5,000.0 0.00% -10.00% Sep-03 Sep-04 Sep-05 Sep-06 Sep-07 Sep-08 Sep-09 Jun-04 Jun-05 Jun-06 Jun-07 Jun-08 Jun-09 Jun-10 Dec-03 Dec-04 Dec-05 Dec-06 Dec-07 Dec-08 Dec-09 Mar-04 Mar-05 Mar-06 Mar-07 Mar-08 Mar-09 Mar-10 -20.00% $- -20.00% $- 3 yr Return 3 yr Std Dev Trailing 12 mth Sales (M) 3 yr Return 3 yr Std Dev Trailing 12 mth Sales (M) Source: Yahoo Finance, Sigma Advantage Investments. Charts are provided for illustrative purposes. Past performance is not a guarantee of future results. © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 19
  • 20. The Efficient Frontier • A major component of Modern Portfolio Theory (MPT). • Shows the relationship of risk and returns of portfolios that maximize return for a given level of risk. • Composed of a range of mixes from 100% stocks to 100% bonds. © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 20
  • 21. The Efficient Frontier 1960 - 2010 Inversion! Source: Rydex | SGI, Ibbotson Associates © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 21
  • 22. The Efficient Frontier & The Capital Market Line © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 22
  • 23. The Efficient Frontier & The Capital Market Line © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 23
  • 24. The Efficient Frontier & The Capital Market Line © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 24
  • 25. Portfolio Design  With the Capital Market Line (CML) and the Efficient Frontier, you can “design” a portfolio for any given risk level.  To further increase risk and “potentially” obtain greater returns, you can leverage by borrowing money to invest in the optimal risky portfolio.  Problem with leverage approach…  you can only borrow at rates higher than the risk free rate! © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 25
  • 26. Next Session Mutual Fund Analysis, Selection & Portfolio Design  How to determine the “best” investment.  Risk Adjusted Return  Fundamental versus Technical Analysis  Available Resources © 2012 Sigma Advantage Investments www.sigmadvantageinvestments.com 26