Morningstar Advisor - February/March 2009 - 29

Exhibit 1: Mind the Gaps U.S. large-cap stocks have made impressive gains over the years, but several significant declines have interrupted the S&P 500’s trajectory. 10,000 Growth of $1 invested in S&P 500 Highest cumulative level of S&P 500 as of date point Crash of 1987 Dot-com bubble burst 1,000 1969 recession 100 10 Crash of 1929 and Great Depression Arab oil embargo 1962 bear market 962 1 Post-war manufacturing crisis 1925 1930 1935 940 1940 1945 1945 1950 1950 1955 1955 1960 1960 1 1965 1970 1975 1980 1985 1990 1995 2000 2005 Growth of $1 includes reinvested dividends. Monthly data used to calculate returns. more sobering, however, is that the secondgreatest decline took place within the past decade. With the crash of the Internet bubble in 2000, the S&P 500 lost almost 45% of its value over a two-year period and took four years to return to its peak value. In all, including the current crisis, the S&P 500 has suffered eight peak-to-trough declines of more than 20% since the mid-1920s. Two of the three greatest declines occurred in the past eight years. To suggest that the current crisis is a once-in-a-century event ignores the record. Measuring Risk: The Standard Model With 20% declines occurring, on average, every decade or so, you’d think that the standard risk models that investors use to make their asset-allocation decisions would assign a significant probability that these events will occur. Think again. To see why, we need to look at the history of how these models were formed. To help make sense of the highly complex capital markets, financial economists in 1960s and 1970s developed a set of mathematical models of the markets that are used to this day throughout the investment profession. The best known of these models are the capital asset pricing model of expected returns and the Black-Scholes option pricing model. These models’ creators have won the Nobel Prize in economics for their path-breaking work. Each of these models starts by making an assumption about the statistical distribution of stock market returns. The CAPM assumes that returns follow a normal, or bell-shaped, distribution. The BlackScholes model assumes that returns follow a lognormal distribution.4 4 For returns to follow a lognormal distribution means that logarithm one plus the return in decimal follows a normal distribution. MorningstarAdvisor.com 29
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Morningstar Advisor - February/March 2009

Table of Contents for the Digital Edition of Morningstar Advisor - February/March 2009

Morningstar Advisor - February/March 2009
Contents
New on MorningstarAdvisor.com
Letter from the Editor
Contributors
Inbox
How Do You Gauge and Measure Risk?
No Skinny-Dippers Here
Heading to Shore
Investment Briefs
Weapons of Mass Destruction?
Déjà Vu All Over Again
A Failure to Gauge Risk
Five Areas to Find Opportunities
Getting a Read on Risk
Heavenly Returns
Greenspring Comes to the Rescue
How to Spot a Trustworthy REIT
Four Picks for the President
Find Succor in These Large Dividends
These Stocks Are Fiscally Fit
Mutual Fund Analyst Picks
50 Most Popular Equity ETFs
Undervalued Stocks
Most Popular Variable Annuities
New at Morningstar
You Gotta Look Sharpe
Morningstar Advisor - February/March 2009 - Intro
Morningstar Advisor - February/March 2009 - Morningstar Advisor - February/March 2009
Morningstar Advisor - February/March 2009 - Cover2
Morningstar Advisor - February/March 2009 - 1
Morningstar Advisor - February/March 2009 - 2
Morningstar Advisor - February/March 2009 - Contents
Morningstar Advisor - February/March 2009 - 4
Morningstar Advisor - February/March 2009 - 5
Morningstar Advisor - February/March 2009 - New on MorningstarAdvisor.com
Morningstar Advisor - February/March 2009 - 7
Morningstar Advisor - February/March 2009 - 8
Morningstar Advisor - February/March 2009 - Letter from the Editor
Morningstar Advisor - February/March 2009 - Contributors
Morningstar Advisor - February/March 2009 - Inbox
Morningstar Advisor - February/March 2009 - How Do You Gauge and Measure Risk?
Morningstar Advisor - February/March 2009 - 13
Morningstar Advisor - February/March 2009 - No Skinny-Dippers Here
Morningstar Advisor - February/March 2009 - 15
Morningstar Advisor - February/March 2009 - 16
Morningstar Advisor - February/March 2009 - Heading to Shore
Morningstar Advisor - February/March 2009 - 18
Morningstar Advisor - February/March 2009 - 19
Morningstar Advisor - February/March 2009 - Investment Briefs
Morningstar Advisor - February/March 2009 - 21
Morningstar Advisor - February/March 2009 - Weapons of Mass Destruction?
Morningstar Advisor - February/March 2009 - 23
Morningstar Advisor - February/March 2009 - 24
Morningstar Advisor - February/March 2009 - 25
Morningstar Advisor - February/March 2009 - 26
Morningstar Advisor - February/March 2009 - 27
Morningstar Advisor - February/March 2009 - Déjà Vu All Over Again
Morningstar Advisor - February/March 2009 - 29
Morningstar Advisor - February/March 2009 - 30
Morningstar Advisor - February/March 2009 - 31
Morningstar Advisor - February/March 2009 - 32
Morningstar Advisor - February/March 2009 - 33
Morningstar Advisor - February/March 2009 - A Failure to Gauge Risk
Morningstar Advisor - February/March 2009 - 35
Morningstar Advisor - February/March 2009 - 36
Morningstar Advisor - February/March 2009 - 37
Morningstar Advisor - February/March 2009 - Five Areas to Find Opportunities
Morningstar Advisor - February/March 2009 - 39
Morningstar Advisor - February/March 2009 - Getting a Read on Risk
Morningstar Advisor - February/March 2009 - 41
Morningstar Advisor - February/March 2009 - 42
Morningstar Advisor - February/March 2009 - 43
Morningstar Advisor - February/March 2009 - 44
Morningstar Advisor - February/March 2009 - 45
Morningstar Advisor - February/March 2009 - 46
Morningstar Advisor - February/March 2009 - 47
Morningstar Advisor - February/March 2009 - Heavenly Returns
Morningstar Advisor - February/March 2009 - 49
Morningstar Advisor - February/March 2009 - 50
Morningstar Advisor - February/March 2009 - 51
Morningstar Advisor - February/March 2009 - Greenspring Comes to the Rescue
Morningstar Advisor - February/March 2009 - 53
Morningstar Advisor - February/March 2009 - 54
Morningstar Advisor - February/March 2009 - 55
Morningstar Advisor - February/March 2009 - How to Spot a Trustworthy REIT
Morningstar Advisor - February/March 2009 - 57
Morningstar Advisor - February/March 2009 - Four Picks for the President
Morningstar Advisor - February/March 2009 - 59
Morningstar Advisor - February/March 2009 - Find Succor in These Large Dividends
Morningstar Advisor - February/March 2009 - 61
Morningstar Advisor - February/March 2009 - These Stocks Are Fiscally Fit
Morningstar Advisor - February/March 2009 - 63
Morningstar Advisor - February/March 2009 - Mutual Fund Analyst Picks
Morningstar Advisor - February/March 2009 - 65
Morningstar Advisor - February/March 2009 - 66
Morningstar Advisor - February/March 2009 - 67
Morningstar Advisor - February/March 2009 - 50 Most Popular Equity ETFs
Morningstar Advisor - February/March 2009 - 69
Morningstar Advisor - February/March 2009 - 70
Morningstar Advisor - February/March 2009 - 71
Morningstar Advisor - February/March 2009 - Undervalued Stocks
Morningstar Advisor - February/March 2009 - 73
Morningstar Advisor - February/March 2009 - 74
Morningstar Advisor - February/March 2009 - 75
Morningstar Advisor - February/March 2009 - Most Popular Variable Annuities
Morningstar Advisor - February/March 2009 - 77
Morningstar Advisor - February/March 2009 - 78
Morningstar Advisor - February/March 2009 - New at Morningstar
Morningstar Advisor - February/March 2009 - You Gotta Look Sharpe
Morningstar Advisor - February/March 2009 - Cover3
Morningstar Advisor - February/March 2009 - Cover4
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