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    Mathematical modeling

    and the subprime problem

    One month ago, as the credit squeeze persisted, ratings agencies were forced to downgrade thousands of securities after failing to foresee the recent wave of defaults, particularly in subprime loans.

    On January 30 alone, Standard & Poor’s downgraded more than 8,000 residential mortgage-related securities worth $534 billion. These downgrades have triggered bitter recriminations, amid a wave of losses in asset-management companies and banks. Much of these losses were in AAA securities, which caused a tremendous loss of confidence.

    The massive credit downgrades have also left policymakers and analysts scrambling to determine what has gone so badly wrong. As this search intensifies, some economists are starting to suspect that the answer lies in a striking recent change in American household choices, a shift that could have important implications for policymakers and investors alike.

    It seems that mathematical models used to predict future default rates based on past patterns of losses have gone wrong because they did not adjust to reflect shifts in household behavior. Or, in another words: The past is not always a guide to the future. The mortgage borrowers did not behave as expected. The issue at stake revolves around the delinquency rates, the proportion of people who fall behind on their debt repayments. When American households faced hard times in previous decades, they tended to default on unsecured loans such as credit cards and car loans first, and stopped paying their mortgage only as a last resort. However, in the last couple of years, households have become delinquent on their mortgage much faster than trends in the wider economy might suggest. And this is particularly true for the less creditworthy subprime borrowers. As a result, mortgage lenders have started to face losses at a much earlier stage than in the past.

    One possible explanation is that it has become culturally more acceptable this decade for people to abandon houses or stop paying in the hope of renegotiating their home loans. The shame that used to be associated with losing a house has ebbed away in recent years, as underwriting standards were loosened. But consumers may also be rationally reevaluating the costs that come with defaulting on different part forms of debt, in the light of recent bankruptcy- law reforms in the United States.

    This analysis will lead to a question on what to do when you don’t know everything. In the economic profession, the fact has been to pursue the perfect economic forecast despite abundant evidence that it does not and cannot exist. They are proponents of rational-expectancy theory, which assumes that the economy and the individuals within it act with perfect foresight. On the other hand, there is a more fashionable school of behavioral economics, of which practitioners claim that although people are irrational, their irrationality can be modeled so precisely that the future can be forecast with great precision.

    In a new book, “Imperfect Knowledge Economics” (Princeton University Press, 2007), written by Roman Frydman from New York University and Michael Goldberg of the University of Hampshire, Mr. Frydman sets out an alternative approach to prediction, in which the forecaster recognizes that his model will inevitably be less than perfect. Their work has received glowing praises from Nobel prize-winning economists such as Kenneth Arrow and Edmund Phelps, who wrote the introduction to the book, although it is unlikely to have gone down so well with Robert Lucas, who won the Nobel for his work on rational expectation.

    There is nothing new in economics about the idea that people must make decisions based on imperfect knowledge. John Maynard Keynes observed that “human decision affecting the future, whether personal or political or economic, cannot depend on strict mathematical expectation, since the basis for making such calculations does not exist.”

    While reflecting these insights, imperfect-knowledge economics still sees a role for economic theory in forecasting. According to Frydman and Goldberg, to be useful, economic-forecasting models should be based on qualitative regularities in the way that market participants respond to new information, which is patterns of behavior that are observable and somewhat predictable. Though this is not perfect, these will often give a better clue to the future than no model at all, or models based on rational expectations. 

    Coming back to our discussion on a more fundamental economic explanation for subprime problem: Many economists observed that in the past, it has usually been assumed that mortgage defaults occurred due to cash-flow problems. 

    Previously in the United States, the property market has softened during times of recession and rising unemployment. But this time, house prices have fallen even though unemployment has not risen. Mortgage delinquencies started two years ago, as soon as house prices stopped rising and then started to fall. That might be because overstretched households with unsuitable loans were no longer able to refinance their way out of trouble, when house prices stopped rising.

    Another explanation is that people with high loan-to-value mortgages no longer felt a strong incentive to maintain payments when house prices started to fall—even if they were able to. This is because of what we call negative equity phenomenon, where house prices have fallen below the value of the loan or will soon do so. Thus, faced with a choice between keeping their car and maintaining payments on a house in which they had no equity stake, some households apparently chose to keep their car. In fact, International Monetary Fund data show delinquency rates on prime loans made in 2006 and 2007 are rising more quickly than delinquency on prime loans made in 2003 or 2004.

    Since the mortgage market is still in flux, of course, it is very hard to tell which explanation is the most accurate. However, if consumer behavior is shifted, it has potentially crucial policy implications.  Another implication is that debt holders may need to rethink their reliance on ratings. In earlier credit cycles, bankers would have probably spotted micro-level changes in household behavior at an early stage, particularly if they had personal knowledge of their clients. But because banks have securitized mortgages in recent years, this contact between lender and borrower has diminished. As billionaire investor George Soros has summarized: “Securitization had the effect of transferring risk from people who are supposed to know the risk and know the borrowers to people who don’t.”  

    Investors of the securitized mortgages have tried to fill this information gap by turning to ratings agencies. But these agencies have typically predicted defaults by using macroeconomic models that essentially extrapolated past trends into the future. Thus, they are not well-equipped to spot shifts in the fundamental economic drivers of delinquency or that loan underwriting standards had been collapsing to a very loose standard.

    In the securitization industry, the mortgage lenders and investors have been filtering the loans in recent years on the basis of FICO scores, which measure cash-flow management, rather than loan-to-value ratios, which denote exposure to house prices.  As mentioned by Frydman and Goldberg, the ratings agencies have generally been better at rating corporate bonds than rating asset-backed collateralized debt obligations. One reason for this is that the ratings agencies used both a mathematical model and judgment of their in-house specialist when forecasting default probabilities of corporate bonds; while for subprime-related securities, they could only use mathematical models, not least because the instruments were so new. While some officials inside the ratings agencies have tried to point out these shortcomings, the sheer volume of business that has engulfed these agencies has given them little opportunity to rethink their approach.

    Nevertheless, one thing is clear: empirical proof that relying on backward-looking models alone is not wise. The forecaster is like an entrepreneur. He uses quantitative methods, but he also studies history and relies on intuition and judgment.

    ****

    Gracia S. Ugut, Ph.D. is a full professor at the Asian Institute of Management. She is also the associate dean of AIM Executive Education. She teaches financial engineering and risk management. 

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