Morningstar Advisor - April/May 2010 - 26

Gray Matters

Exhibit 3 Markowitz 2.0: Using new statistical technology and a scenario approach, a new efficient frontier is formed.
10% Geometric Mean 9 8 7 6 5 0% 5 10 15 Conditional Value at Risk 20 25 30 35 40

CVaR as shown in Exhibit 3, incorporating our scenario approach to covariance and new statistical technology. We believe that this efficient frontier is more relevant to investors than the traditional expected return versus standard deviation frontier of MVO because it shows the trade-off between reward and risk that is meaningful to investors; namely, long-term potential growth versus short-term potential loss. K
Paul D. Kaplan, Ph.D, CFA, is director of quantitative research with Morningstar Europe. Sam Savage, Ph.D, a consulting professor at Stanford University, is author of The Flaw of Averages (John Wiley & Sons, 2009).

CFA Institute, pp. 132–169, 2009. Ibbotson Stocks, Bonds, Bills, and Inflation 2009 Yearbook, Morningstar, Inc., 2009.
Markowitz, Harry M., “Portfolio Selection,” Journal of Finance, Vol. 7, Issue 1, pp. 77–91, 1952. Poundstone, William, Fortune’s Formula, Hill and

Wang, 2005.
Savage, Sam, The Flaw of Averages, John Wiley &

Sons, 2009.
Sheikh, Abdullah Z. and Hongtao Qiao, “Nonnormality of Market Returns,” J.P. Morgan Asset Management research paper, 2009.

A working sample of such an interactive model is available for download from ProbabilityManagement.org.
The New Efficient Frontier

References
Kaplan, Paul D., Thomas Idzorek, Michele Gambera, Katsunari Yamaguchi, James Xiong, and David M. Blanchett, “The History and Economics

Putting it all together, we form an efficient frontier of forecast geometric mean and

of Stock Market Crashes.” Insights Into the Global Financial Crisis, Laurence B. Siegel, editor,

26 Morningstar Advisor April/May 2010


http://www.ProbabilityManagement.org http://www.cffpinfo.com http://www.cffpinfo.com

Morningstar Advisor - April/May 2010

Table of Contents for the Digital Edition of Morningstar Advisor - April/May 2010

Morningstar Advisor - April/May 2010
Contents
New On MorningstarAdvisor.com
Contributors
Letter from the Editor
Our Job: Building Better Investors
What’s Your Biggest Long-term Concern for the Economy?
An Early Start
Women’s Work
Investment Briefs
Markowitz 2.0
Asset Allocation Is King
A Decade of Riskier Assets ...
... but with plenty of Silver Linings
Be Prepared
Facing up to the Economy’s Problems
Levelheaded
Surviving on Conviction
Four Picks for the Present
Pharmaceutical Firms Get the Urge to Merge
Funds That Look Cheaper Than the Market
Finding Dividend Leaders
Mutual Fund Analyst Picks
50 Most Popular ETFs
Undervalued Stocks with Wide Moats
VAs: Assets Rise as New Sales Slip
New at Morningstar
When You Wish Upon a Star
Morningstar Advisor - April/May 2010 - Morningstar Advisor - April/May 2010
Morningstar Advisor - April/May 2010 - Cover2
Morningstar Advisor - April/May 2010 - 1
Morningstar Advisor - April/May 2010 - 2
Morningstar Advisor - April/May 2010 - Contents
Morningstar Advisor - April/May 2010 - 4
Morningstar Advisor - April/May 2010 - 5
Morningstar Advisor - April/May 2010 - New On MorningstarAdvisor.com
Morningstar Advisor - April/May 2010 - 7
Morningstar Advisor - April/May 2010 - Contributors
Morningstar Advisor - April/May 2010 - Letter from the Editor
Morningstar Advisor - April/May 2010 - 10
Morningstar Advisor - April/May 2010 - Our Job: Building Better Investors
Morningstar Advisor - April/May 2010 - 12
Morningstar Advisor - April/May 2010 - 13
Morningstar Advisor - April/May 2010 - What’s Your Biggest Long-term Concern for the Economy?
Morningstar Advisor - April/May 2010 - 15
Morningstar Advisor - April/May 2010 - An Early Start
Morningstar Advisor - April/May 2010 - 17
Morningstar Advisor - April/May 2010 - Women’s Work
Morningstar Advisor - April/May 2010 - 19
Morningstar Advisor - April/May 2010 - Investment Briefs
Morningstar Advisor - April/May 2010 - 21
Morningstar Advisor - April/May 2010 - Markowitz 2.0
Morningstar Advisor - April/May 2010 - 23
Morningstar Advisor - April/May 2010 - 24
Morningstar Advisor - April/May 2010 - 25
Morningstar Advisor - April/May 2010 - 26
Morningstar Advisor - April/May 2010 - 27
Morningstar Advisor - April/May 2010 - Asset Allocation Is King
Morningstar Advisor - April/May 2010 - 29
Morningstar Advisor - April/May 2010 - 30
Morningstar Advisor - April/May 2010 - 31
Morningstar Advisor - April/May 2010 - 32
Morningstar Advisor - April/May 2010 - 33
Morningstar Advisor - April/May 2010 - A Decade of Riskier Assets ...
Morningstar Advisor - April/May 2010 - ... but with plenty of Silver Linings
Morningstar Advisor - April/May 2010 - 36
Morningstar Advisor - April/May 2010 - Be Prepared
Morningstar Advisor - April/May 2010 - 38
Morningstar Advisor - April/May 2010 - 39
Morningstar Advisor - April/May 2010 - 40
Morningstar Advisor - April/May 2010 - 41
Morningstar Advisor - April/May 2010 - 42
Morningstar Advisor - April/May 2010 - 43
Morningstar Advisor - April/May 2010 - Facing up to the Economy’s Problems
Morningstar Advisor - April/May 2010 - 45
Morningstar Advisor - April/May 2010 - 46
Morningstar Advisor - April/May 2010 - 47
Morningstar Advisor - April/May 2010 - 48
Morningstar Advisor - April/May 2010 - 49
Morningstar Advisor - April/May 2010 - Levelheaded
Morningstar Advisor - April/May 2010 - 51
Morningstar Advisor - April/May 2010 - 52
Morningstar Advisor - April/May 2010 - 53
Morningstar Advisor - April/May 2010 - Surviving on Conviction
Morningstar Advisor - April/May 2010 - 55
Morningstar Advisor - April/May 2010 - 56
Morningstar Advisor - April/May 2010 - 57
Morningstar Advisor - April/May 2010 - Four Picks for the Present
Morningstar Advisor - April/May 2010 - 59
Morningstar Advisor - April/May 2010 - 60
Morningstar Advisor - April/May 2010 - Pharmaceutical Firms Get the Urge to Merge
Morningstar Advisor - April/May 2010 - 62
Morningstar Advisor - April/May 2010 - 63
Morningstar Advisor - April/May 2010 - Funds That Look Cheaper Than the Market
Morningstar Advisor - April/May 2010 - 65
Morningstar Advisor - April/May 2010 - Finding Dividend Leaders
Morningstar Advisor - April/May 2010 - 67
Morningstar Advisor - April/May 2010 - Mutual Fund Analyst Picks
Morningstar Advisor - April/May 2010 - 69
Morningstar Advisor - April/May 2010 - 70
Morningstar Advisor - April/May 2010 - 71
Morningstar Advisor - April/May 2010 - 50 Most Popular ETFs
Morningstar Advisor - April/May 2010 - 73
Morningstar Advisor - April/May 2010 - Undervalued Stocks with Wide Moats
Morningstar Advisor - April/May 2010 - 75
Morningstar Advisor - April/May 2010 - VAs: Assets Rise as New Sales Slip
Morningstar Advisor - April/May 2010 - 77
Morningstar Advisor - April/May 2010 - 78
Morningstar Advisor - April/May 2010 - New at Morningstar
Morningstar Advisor - April/May 2010 - When You Wish Upon a Star
Morningstar Advisor - April/May 2010 - Cover3
Morningstar Advisor - April/May 2010 - Cover4
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