Does Higher Risk Equal Greater Return? Not Always
You have to take more risk to get a higher return on your investment, or so the saying goes. The saying has its roots in the basic principles of modern portfolio theory, and refers to the idea that investors should be willing to accept more shortterm market volatility (risk) in order to receive a chance at a higher longterm investment return. Conversely, investors should accept lower longterm returns on their investments if they are not willing to accept much volatility. How well does this theory work in practice? In what instances might taking on more risk not necessarily improve your chance at a greater return?
In answering these questions, a key factor to consider is the time horizon of your investment, or length of time the investment is meant to last. Simply put, the longer your time horizon, the less volatile the range of returns of an investment, as long stretches of high returns tend to offset periods of low returns. The balancing of the highs and lows over time results in a convergence toward the average. Therefore, having a long time horizon for a highrisk investment (high shortterm volatility) can help lower the possibility of receiving a poor return by decreasing its volatility over the total holding period.
In fact, most investors know that it makes little sense to invest in a risky asset (like an allstock portfolio) if they plan to spend the underlying funds in the next year or twowith such a short time horizon they would run a significant chance of receiving a negative return. But while most investors agree that two years is too short, they may not realize just how long of a time horizon may be needed to make it likely that taking on a significant amount of risk will pay off. The following two examples look at the potential payoffs of high and lowrisk investments for a very long investment (30 years), as well as for a more medium term investment (12 years). The results may surprise you.
 When Taking Higher Risk Could Produce Higher Returns (30Year Time Horizon)
To illustrate when the theory that higher risk equals higher returns can hold true, consider the following two globally diversified investment portfolios. Return is defined as the average nominal investment return that might be earned per year in U.S. dollars over the long term. Risk is defined in terms of the standard deviation of the annual returns. In other words, in two out of three years, each portfolio's return might be expected to fall within a range of the average nominal return, plus or minus the standard deviation. (In one of three years the portfolio's return could be expected to fall outside of the standard deviation.)
Diversified Portfolio LongTerm Expected Returns: High Risk vs. Low Risk
High Risk 
Low Risk 

Equity: Fixed Income Ratio 
100:0 
30:70 
LongTerm Nominal/Real Return (%, USD) 
9.83%/5.49% 
8.06%/3.72% 
Risk/Standard Deviation 
+/ 17.58% 
+/ 6.43% 
Source: MGP and Ibbotson. Nominal return is the average annual return of the portfolio between 19702011, as measured in USD, excluding taxes and portfolio fees. Real return is the nominal return less average inflation of 4.34% per year during the period. Risk is defined as one standard deviationthe nominal portfolio return could be expected to fall within the stated range in two of every three years.
In the figures shown above, the highrisk (greater proportion of equity) portfolio's longterm average annual return is greater than the lowrisk (greater proportion of fixed income) portfolio's longterm average annual return. This is especially the case when inflation is taken out of the equationthe highrisk portfolio's real rate of return is nearly 50% greater than the lowrisk portfolio's expected return. However, it's important to keep in mind that to have a chance at receiving the higher return, the investor would have to put up with a much greater shortterm volatility, as shown in the higher annual risk/standard deviation figure.
How would your money have fared in USD terms had you invested for a long period? Results support the theoryif you had invested $100,000 in the highrisk (100% equity) portfolio for the last 30 years (between 19822011) and rebalanced annually, you would have ended up with substantially more at the end of the investment period (over $2 million) than would have someone who had invested in the lowrisk portfolio (roughly $1.3 million). But as also might be expected, you would have had to put up with a lot of more volatility in the highrisk portfolio, including suffering whopping losses between 2000 and 2002 and in 2008.
HighRisk vs. LowRisk Portfolios: Value of $100,000 Invested 1 Jan 198231 Dec 2011
$100,000 invested in an allequity (highrisk) portfolio on 1 Jan 1982 and rebalanced annually would have resulted in $2,137,740 (pretax, prefees) by the end of 31 Dec 2011far more than the 30% equity (lowrisk) portfolio's $1,267,316. However, to achieve this you would have had to put up with losses such as 2008's fall in value of $944,467 without panicking and selling. 

Source: MGP and Ibbotson and C&C estimates. Does not factor in taxes or portfolio costs. 
The above results are probably very much in line with what most of us have come to expect when we talk about the relationship between investment risk and return. In other words, if you are willing to put up with more risk, you get a chance to achieve a greater return.
But what happens if we change the assumptions a bit? For instance, the example above assumes a relatively long investment period (30 years) and does not assume cash flow in or out of the portfolio. Rarely in real life do we plunk down a sum of cash for a fixed lumpsum payout 30 years in the future. Rather, we may accumulate savings over time for a goal which will require those savings to be distributed over a number of years. The next example looks at a more likely scenario.
 When Higher Risk May Not Result in Greater Return (12Year Time Horizon)
Consider instead the following example, in which John and Sue, an expat couple, are saving and investing for their 10yearold son Blake to attend four years of college beginning 8 years from now. The college costs $30,000 per year in current dollars, with an increase of 6% a year. Meanwhile, John and Sue are able to set aside $65,000 per year over the next two years to fund Blake's future college expenses.
How much risk should John and Sue take in investing their savings? They estimate the total bill for college could be $209,173 in future inflated dollars. Seeing as they only have $130,000 to invest and the time horizon for the investment will be a total of 12 years, at first it might seem to make sense to invest in the highrisk/highreturn portfolio in Example 1 in order to have the greatest chance of paying for Blake's college expenses.
However, and perhaps counter intuitively, in this case taking less risk may actually give them a better chance of producing a good result. Because of the shorter time horizon, the chance of getting a better return, or even meeting their goal of funding college, is diminished. Twelve years may simply not be enough time to make up for any periods of low returns that might occur during their investment horizon. A case in point is the most recent 12year period, from 20002011:
College Portfolio Returns: High Risk vs. Low Risk (20002011)
High Risk 
Low Risk 

Return Per Year: Average Nominal/Real ($, USD) 
2.40%/0.07% 
4.79%/2.32% 
Highest Return/Year 
$34,434 (+37.10%) in 2003 
$16,573 (+12.05%) in 2003 
Lowest Return/Year 
$63,842 (39.41%) in 2008 
$7,120 (4.68%) in 2008 
College Goal Funded 
FailedBlake runs out of college funds 
100% Funded w/$23,738 leftover 
Source: MGP and Ibbotson. Pretax, preportfolio running costs.
As shown above, had John and Sue invested in the highrisk portfolio between 2000 and 2011, their son would have run out of money before finishing college. The good years during their investment period would not have been enough to make up for the bad years. Had they instead invested in the lowrisk portfolio, Blake would have had enough funding and had money left over.
But the period 20002011 represents only one investment period, and a particularly challenging one, for higher risk portfolios. To get a more complete idea of whether John and Sue should opt for a high or lowrisk diversified portfolio, they could try running a broader stress test such as a Monte Carlo analysis. This type of analysis runs random simulations of Blake's college portfolio using hundreds of different sequences of historic returns. Some sequences of returns will produce better results (college is funded), and some will produce worse (he runs out of money). In fact, using the scenario above and investment data from 19702011, a Monte Carlo analysis suggests that the lowrisk portfolio has a 94% chance of being successful , whereas the highrisk portfolio only has a 73% chance of being successful, meaning 27% of the time Blake runs out of money. In this situation, a highrisk, 100% equity portfolio may actually produce a diminished chance at meeting the goal of paying for college.
College Portfolio Values: High Risk vs. Low Risk (20002011)
As shown, in this case, which covers a 12year period, a lowrisk portfolio produces a better result: Blake finishes college with funds left over. Although 20002011 was a particularly difficult period for risky portfolios, a Monte Carlo analysis that randomly samples data from a 42year period also suggests that the lowrisk portfolio stands a better chance (94%) of covering all costs in this scenario than does the highrisk portfolio (73%). 

Source: MGP and Ibbotson and C&C estimates Pretax, pre portfolio running costs. 
In summary, most investors are familiar with idea that you have to be prepared to accept a greater amount of risk (in the form of volatility) in order to get a chance at receiving a higher investment return. However, an important consideration in terms of how much risk to take is your time horizon. Relatively long periods (30 years or more) may justify taking on greater amounts of risk to get a chance at a higher return. However, if the portfolio's time horizon is relatively short (and 12 years could be considered short), the chance of achieving a better investment outcome might be enhanced by taking less risk.
Disclosure: I have no positions in any stocks mentioned, and no plans to initiate any positions within the next 72 hours.
Additional disclosure: Copyright © 2012 Creveling & Creveling Private Wealth Advisory, All rights reserved. The articles and writings are not recommendations or solicitations, and guest articles express the opinion of the author; which may or may not reflect the views of Creveling and Creveling.