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Risk & Reward: Strategy
The Holistic Approach
John Ferry
10/01/2005

“There’s definitely an art to this,” Wurth adds. “If you let the models run by themselves, then they may come out with very impractical results, such as 100 percent of the portfolio should be invested in hedge funds, because from a historical perspective they seem to have attractive risk and return profiles. Or, because of liquidity issues the model could come out with a zero allocation to alternatives, depending on how much of a discount factor you put in for illiquidity.”

Art and Science
Because illiquid assets are now so important to private investors, leading financial institutions are working hard to devise methods for integrating assets within a traditional portfolio. Citigroup Private Bank’s experts worked in conjunction with finance professor Rui de Figueiredo from the University of California, Berkeley, Haas School of Business to come up with a framework that they say greatly improves the asset allocation process. Citi’s analysts attempt to improve the reliability of the data they use by, for example, “unsmoothing” returns data. They do this by using their own complex financial models to create an optimized portfolio, but one that is optimal not just in terms of risk and return (and therefore diversification), but also in terms of certain idiosyncratic characteristics, or biases, typically displayed by illiquid assets.

Dealing with non-normally distributed asset behavior is another challenge. The return probabilities are often biased on the positive or negative side. Financial analysts refer to these asymmetric distributions as showing “skewness.” Illiquid assets also often display kurtosis, which means that the probability of realizing some extreme return (either positive or negative) is greater than it would be for normally distributed assets. “When we optimize, we look at the trade off between volatility, returns, skew and kurtosis,” Tekler says. “So if you have an asset class with a lot of negative skew, let’s say, then you may want to add an asset class that can help offset that with positive skew.”

Taking account of these additional factors associated with illiquid assets can lead to some unconventional recommendations, as Tekler points out. “Take real estate,” he says. “Many investors would look at a real estate portfolio and say they want to offset it with bonds, because bonds are pretty safe and liquid. But actually bonds are susceptible to some of the same economic factors as real estate interest rates. We would look at that and say real estate has negative skew, and so a good offset for that would be something with positive skew, and private equity has positive skew.”
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