The Grumpy Economist |
Posted: 29 Jan 2022 09:30 AM PST
Torsten's conclusion:
Well. Like the famous broken clock that is right twice a day, note the forecasts are "right" in times of higher rates. So don't necessarily run out and buy bonds today. Can it possibly be true that professional forecasters are simply behaviorally dumb, refuse to learn, and the institutions that hire them refuse to hire more rational ones? My favorite alternative (which, I admit, I've advanced a few times on this blog): When a survey asks people "what do you 'expect'?" people do not answer with the true-measure conditional mean. By giving an answer pretty close to the actual yield curve, these forecasters are reporting a number close to the risk-neutral conditional mean, i.e. not \(\sum_s\pi(s)x(s)\) but \(\sum_s u'[c(s)]\pi(s)x(s)\). The risk-neutral mean is a better sufficient statistic for decisions. Pay attention not only to how likely events are but how painful it is to lose money in those events. Don't be wrong on the day the firm loses a lot of money. The weather service also tends to overstate wind forecasts. I interpret the forecast of 30 mph winds as "if you go out and capsize your boat in a 30 mph gust, don't blame us." "If you buy bonds and they tank, don't blame us" surely has to be part of a finance industry "forecast." If the risk-neutral mean equals the market price, do nothing. And do nothing has to be the advice to the average investor. Reporting the forecast implied by the yield curve directly has a certain logic to it. Economists rush too quickly, I think, from surveys where people are asked "what do you expect?" to bemoaning that the answers do not represent true-measure conditional means, and blaming that on stupidity. As if anyone who answers the question has the vaguest idea what the definitions of mean, median, mode, conditional and true vs. risk-neutral measure are. We might have a bit more humility: They're giving us a sensible answer, to a question posed in English, but since we asked the question in a foreign language, it is an answer to a different question. (Teaching is good for you. Most of my students did not understand that "risk" can mean you earn more money than you "expected," at the beginning of the class. I hope they got it by the end! But they were not wrong. In English, "risk" means downside risk. In portfolio analysis, it means variance. Know what words mean.) But that also means, do not interpret the answers as true-measure conditional means! This graph is particularly challenging since it concerns the 10 year rate only. Similar graphs of short-term rates also show consistent bias toward forecasting higher rates that don't happen. But that is more excusable as a risk-neutral mean, since the yield curve slopes up in the first few years. A rising forecast of 10 year yields corresponds to slope from 10 years to longer maturities, which is typically smaller. Torsten, if you're listening, a comparison to the forecast implied by the forward curve at each date would be really interesting!
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