Page 1 Page 2 Page 3 Click Here for Step 10
 

9.4
Solutions

9.4.1 Long-term History Characterizes Risk and Return

The history of several U.S. stock markets are captured in Figure 9-2. In essence this chart captures the effectiveness of capitalism over the last 80 years. The numbered events in Figure 9-2 are taken from the historical events in Table 9-2 below it, titled “Market Turmoil and the Dow Jones Industrial Average.” Despite several set backs, capitalism continues to work. Also note that the value of a dollar scale is a log scale, so each unit increases by a factor of 10. These are indexes and therefore the growth of a dollar does not reflect any fees or transaction costs. This long-term history of quality data allows investors to create the best set of probabilistic estimates of future performances of these indexes.

Figure 9-2

Table 9-2

IFA Index Portfolios have also shown tremendous long-term despite the impact of short-term bear markets. Click here to view a pdf of the growth of a dollar invested for the last 69 years in Index Portfolios 5, 50 and 100 as well as for the S&P 500.   


(click here to view the pdf)

The global history of the size and value effect on stocks is made even more clear by reviewing Figure 9-3. Next, Table 9-4 provides a thorough analysis of many indexes over the 1927 to 2006 period. Both the chart and table indicate that over the 80-year period, small-value has outperformed the S&P 500 and large-cap growth. Also, it is clear that value has higher returns in international and emerging markets, even though available data only dates back to 1982 for international and 1989 for emerging markets.

Figure 9-3

Figure 9-4

Table 9-3

To expand the range of asset classes to include art, farmland and gold, let’s take a look at Table 9-3.

It is interesting that over the 48-year period emerging market public equities outperformed venture capital, and at a lower risk level. In addition, the S&P 500 outperformed real estate by more than 50%, although the S&P 500 had about three times the risk. Figure 9-4 graphs the data from Table 9-3 on the Markowitz risk/return plot and adds in index portfolios 5, 50 and 100 for comparison. Note where venture capital and emerging markets sit on the plot. Gold and silver are also interesting, reinforcing the idea that they have lots of risk and returns pretty close to T-bills and bonds.

 

 

 

 


Table 9-4

Table 9-5

Venture Economics, an information provider for equity professionals, compiled a 20-year data series of various types of private equity strategies for the period ending September 30, 2001. According to the survey, venture and private equity strategies generally performed well over the period. But, the premium relative to public securities appears rather small considering the higher risk, investment concentration, absence of liquidity, transparency and daily pricing. The results are shown in Table 9-5.

 

 

 

 

 




9.4.2 Cross Correlation among Indexes