In another case, Northwest Airlines’ machinists union established a “Farm Out Committee” to review any contracts Northwest contemplated offering to outside companies. Although the union doesn’t insist on doing everything itself, it negotiated with Northwest the option to bid on the business first. The union acknowledged management’s need to procure resources with the best possible quality at the best price. At the same time, Northwest acknowledged the union’s interest in keeping the work in-house. Marv Sandrin, leader of the machinists union, tells about a huge contract for modifying pylons on Northwest’s Boeing 747 passenger jets. Sandrin explains how the union managed to rescue this business from being farmed out to an outfit in Singapore.“Pylons . . . are extremely complicated,” he began.
“There were things we needed to do, such as changing some work rules, to bring the costs down.” They did, and they won the contract. Northwest Airlines procured the best-quality work for the best price. The partnership worked because each side understood the needs of the other, and each was willing to take a chance on partnering with the other.
Among practitioners, however, there is a strong belief that the risk-return profile of equities as well as corporate bonds gets more favorable with a lengthening of the planned investment period. In this case the optimal mix of assets to be held in the portfolio changes with the length of the investment horizon. From a statistical point of view, those practitioners claim that there is negative autocorrelation in the returns of equities and corporate bonds. In other words, in the long run, these asset classes show a pattern of mean reversion. This assumption seems to contradict the statistical properties of bond index returns displayed in Table our study. On a monthly basis all examined asset classes exhibit positive autocorrelation. Yet, annual total returns of US equities and corporate bonds collected from the Ibbotson Associates database are negatively autocorrelated.
In the course of this series of articles, we have seen that bond returns not only show significant deviations from a normal distribution, but also that they are correlated across time. This is an important observation in the context of long-term investments, because mean reversion of the performance of an asset class lowers its risk in the long term. So far the issue of time diversification has generated considerable interest and controversy in particular with regard to equity investments. Theoreticians such as Merton argue that markets are efficient and security returns independent and identically distributed.
The results of our analyses show that accurate return forecasts are essential when employing portfolio optimization approaches. However, there are various techniques that account for uncertainty in parameter estimation. One method that is particularly popular among theoreticians as well as practitioners is Bayesian optimization. Empirical studies have yielded mixed results for this methodology. For international stock and bond portfolios Maurer and Mertz (2000) show that the out-of-sample performance of portfolios that are obtained by using Bayesian estimators in a mean–variance framework is not necessarily superior. Sophisticated forecasting models might be one way out of this dilemma. Alternative approaches suggest that the skill in directional forecasts should be higher than in precise return forecasts. Dynkin et al. (2003) proposed a risk budgeting framework that relies on directional forecasts, but additionally requires the estimation of the investor’s skill with regard to the dimensions of his investment decisions.
Inour study we have highlighted a solid black line that represents the “true” efficient frontier. It is estimated with the “true” means and variance–covariance matrix of asset returns, thus neglecting skewness and kurtosis of the underlying return distributions. However, for the assessment of the effect of errors in parameter estimation on realized risk/return profiles this plays a minor role. First, we generated a set of returns by resampling the historical return series. Randomly single observations are chosen, others dropped, until time series of the same length as the original series are created. Of course, this methodology involves repetitions in the resampled return series. Estimating the parameters based on the resampled time series, we then calculate the estimated efficient frontiers that are represented by the light grey lines in provided evidence. This is the best estimate of where the efficient frontier lies or, in other words, what risk-return tradeoff can be achieved through proper diversification. Unfortunately, the realized returns will differ from our resampled time series. Assuming that the actual realizations equal our “true” underlying return series, we obtained the thin lines. They indicate the risk-return profiles of the optimized portfolios. The results are shown by the thin lines in our study. In fact, not only are the volatilities of the “optimal portfolios” higher than expected, the returns are lower than expected. Hence, they are entirely within the interior of the efficient frontier, thus inefficient. It is important to note that the actual risks of the minimal risk portfolios are slightly higher than expected, but the returns do not differ materially from the expected returns. Yet, portfolios that are optimized with respect to the maximization of return for a given level of risk or the maximization of the risk-adjusted performance suffer highly from estimation risk.
I walk away from most deals at this critical point. I make this statement because by now most people are emotionally involved in the property and the process and are reluctant to say no go to a deal. It takes me about thirty minutes to do the Five Step Property Valuation process once I have all the information I need. I use the numbers and my common sense to move to the next deal if the one I’m working on doesn’t jibe.