EXECUTIVE SUMMARY. Inside: Forecast Bias for US GDP

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Street View NOVEMBER 2016 BY JEFFREY N. SARET & SUBHADEEP MITRA EXECUTIVE SUMMARY During the past five years, forecasters have repeatedly proffered overly-optimistic predictions (by more than. 50 basis points) for inflation-adjusted, long-term growth rates but excessively pessimistic predictions (approximately 25 basis points) for the near-term. As asset allocators begin their year-end planning for 2017, they may want to account for this bias when formulating their own long-term outlooks. www.twosigma.com NEW YORK HOUSTON LONDON HONG KONG Inside: Forecast Bias for US GDP informational and educational purposes only. Please see the back of this report for important disclaimer and

FORECAST BIAS FOR US GDP How will US GDP change during the next two years? For asset allocators evaluating the state of the global economy and pondering over its effect on asset prices, the question of the US outlook remains important. The answer, however, seems to have consistently eluded forecasters from many government, quasi-government (e.g., international authorities), and private organizations for the past five years. Point-in-time forecasts from some of these organizations since 2011 show an interesting and statistically significant trend. During the past five years, forecasters have repeatedly proffered overly-optimistic predictions (by more than.50 basis points) for inflation-adjusted, long-term growth rates but excessively pessimistic predictions (approximately 25 basis points) for the near-term. As asset allocators begin planning for 2017 and beyond, they may want to account for this bias when formulating their own long-term outlooks. IMF FORECASTS ANNUAL US GDP GROWTH OF 2.2 PERCENT FOR 2017 AND 2.1 PERCENT FOR 2018, BUT THE RECENT TRACK RECORD OF ITS FORECASTS GIVES REASON TO DOUBT 2 3 The forecasting history of the International Monetary Fund (IMF) offers a representative case study. The IMF releases analyses of global economic developments through its World Economic Outlook report, which is published twice per year. The IMF s most recent forecast, from October 2016, predicts that the US economy will grow 2.2 percent next year and 2.1 percent during 2018. Historically, the IMF s predictions have proven consistent with the subsequent official GDP estimate from the US Bureau of Economic Analysis (BEA). Figure 1 shows the mean ex ante forecast error with 95 percent confidence bounds for the IMF s prediction relative to the BEA s ex post report. The figure shows that the IMF s forecast error did not differ significantly from zero between 1996 and 2010. This statistical result holds true for forecasts 24 months ahead and for forecasts less than six months ahead. However, since 2011, the IMF s forecasts have exhibited a consistent bias. When making two-year horizon forecasts, the IMF has overestimated GDP by 50 to 100 basis points. The bias shrinks as the forecast horizon shortens. FIGURE 1 MEAN GDP GROWTH RATE FORECASTING ERROR BY IMF WITH 95% CONFIDENCE BOUNDS Notes: Data on IMF GDP forecast from World Economic Outlook database1 and actual GDP release from U.S. Bureau of Economic Analysis (BEA)2. 1 https://www.imf.org/external/pubs/ft/weo/2016/01/weodata/index.aspx 2 http://www.bea.gov/newsreleases/national/gdp/gdpnewsrelease.htm Street View November 2016 2

FIGURE 2 MEAN GDP GROWTH RATE FORECASTING ERROR FROM 2011-2015 Notes: Data collected from panel of GDP forecasters - European Commission (EC)3, US Energy Information Administration (EIA)4, the Survey of Professional Forecasters (Philadelphia Fed)5, the Wall Street Journal6, the Congressional Budget Office (CBO)7, and the IMF1 FEW OTHER FORECASTERS HAVE PROVEN MORE PRESCIENT DURING THE PAST FIVE YEARS The IMF does not stand alone in offering too-rosy outlooks during the past five years. A closer look into US GDP forecasts since 2011 from a set of forecasters that also includes the European Commission (EC), US Energy Information Administration (EIA), the Survey of Profession Forecasters (Philadelphia Fed), the Wall Street Journal, and the Congressional Budget Office (CBO) reveals a similar upward bias. Figure 2 shows the mean forecasting error in annual US GDP growth rate with 95% confidence bounds based on forecasts pooled across the full set during the most recent five-year period (2011-2015). Similar to the IMF, the average across all forecasters shows a positive bias (approximately 50 basis points) when looking two years ahead. The forecasts become more accurate as the forecast horizon shrinks, indicating that most forecasters tend to revise their estimates downward as data on actual economic conditions materialize. For near-term forecasts (i.e., less than six months), the average bias appears negative. In short, forecasters have been too optimistic about the long-term economic growth rate but too pessimistic about the near--term conditions. IMPLICATIONS Asset allocators planning for the next few years might still want to consider the views of experts from a range of government, quasi-government, and private institutions, but they would do well to remember that even these experts have struggled of late. In its latest annual real GDP forecast for the US (released in October), the IMF revised down its estimates for 2016 from 2.4 percent to 1.6 percent. Scientists rarely earn criticism for excessive optimism, but the data suggests that could change. 3 http://ec.europa.eu/economy_finance/db_indicators/ameco/index_en.htm 4 https://www.eia.gov/forecasts/steo/report/us_eco.cfm 5 https://www.philadelphiafed.org/research-and-data/real-time-center/survey-of-professional-forecasters/ 6 http://projects.wsj.com/econforecast/#ind=gdp&r=20 7 https://www.cbo.gov/sites/default/files/51135-2016-01-economic%20projections.xlsx Street View November 2016 3

INTERESTING TECHNOLOGY-RELATED ARTICLES Two Sigma views itself as a technology company that applies a rigorous, scientific method-based approach to investment management. Our technology is inspired by a diverse set of fields including artificial intelligence and distributed computing. Occasionally, we read articles in the popular press that describe applications of technology that we find interesting, thought-provoking, and relevant for people thinking about improving the investment management process. Below is a subset of the articles we read this month. Please do not view the inclusion of these articles as an endorsement by Two Sigma of their viewpoints or the companies discussed therein. Two Sigma welcomes discussions (and contributions) about these and other such technology-related articles. US Police to Scan Social Media for Violence Alerts Madhumita Murgia, Financial Times, September 22, 2016 (https://www.ft.com/content/e2c850be-80c8-11e6-bc52-0c7211ef3198) Cardiff University is developing a computer program to predict outbreaks of hate crime by parsing Twitter content. Funded by the US Department of Justice, the algorithm will map negative-sentiment tweets referring to politically sensitive events such as the presidential election to geographic locations in order to identify or even predict hate crime. This marks the first time US authorities have turned to social media data in an attempt to manage hate crimes. The first use case for the project will be the city of Los Angeles, whose police department has already used similar models to predict other types of crime, such as theft. Tech Investors Bet They ll Make More Money Mining Garbage than Burning It Michael J. Coren, Quartz, September 7, 2016 (http://qz.com/774847/tech-investors-are-investing-in-recycling-funding-robotics-software-and-dataanalytics-to-reuse-and-reclaim-more-of-our-garbage/) Venture firms invested about $700 million in waste management technologies between 2011 and 2016. Over this period, investments in material recycling grew to nearly 4x their 2011 level. Meanwhile, waste-to-energy technology investments declined 50 percent from their peak in 2014. Material recycling investments have increased the effectiveness of software, data analytics, and robotics used for waste processing. This trend stems partly from new regulations from governing bodies, such as the EU and the US, which aim to reduce waste in landfills. It is also due to rising commodity prices, which are driving up the costs of metals, plastics, and glass, forcing manufacturers to find cheaper ways to obtain these materials. Street View November 2016 4

IMPORTANT DISCLAIMER AND DISCLOSURE INFORMATION This report is prepared and circulated for informational and educational purposes only and is not an offer to sell or the solicitation of an offer to buy any securities or other instruments. The information contained herein is not intended to provide, and should not be relied upon for investment, accounting, legal or tax advice. This document does not purport to advise you personally concerning the nature, potential, value or suitability of any particular sector, geographic region, security, portfolio of securities, transaction, investment strategy or other matter. No consideration has been given to the specific investment needs or risk-tolerances of any recipient. The recipient is reminded that an investment in any security is subject to a number of risks including the risk of a total loss of capital, and that discussion herein does not contain a list or description of relevant risk factors. As always, past performance is no guarantee of future results. The recipient hereof should make an independent investigation of the information described herein, including consulting its own tax, legal, accounting and other advisors about the matters discussed herein. This report does not constitute any form of invitation or inducement by Two Sigma to engage in investment activity. The views expressed herein are not necessarily the views of Two Sigma Investments, LP or any of its affiliates (collectively, Two Sigma ) but are derived from the Two Sigma Alpha Capture system (the Alpha Capture System ), which gathers inputs from sell-side contributors (not analysts) to the Alpha Capture System who receive compensation for their participation, as further described in the section titled Brief Explanation of the Data (page 1 hereof) and the document titled Overview of the Two Sigma Alpha Capture System. Such views (i) may be historic or forwardlooking in nature, (ii) reflect significant assumptions and subjective judgments of the contributors to the Alpha Capture System as well as, in some instances, the authors of this report, and (iii) are subject to change without notice. Two Sigma may have market views or opinions that materially differ from those discussed, and may have a significant financial interest in (or against) one or more of such positions or theses. In some circumstances, this report may employ data derived from third-party sources. No representation is made as to the accuracy of such information and the use of such information in no way implies an endorsement of the source of such information or its validity. This report may include certain statements and projections regarding the anticipated future performance of various securities, sectors, geographic regions or of the Alpha Capture System generally. These forward-looking statements are inherently subject to significant business, economic and competitive uncertainties and contingencies, many of which are beyond our control. In addition, these forward-looking statements are subject to assumptions with respect to future business strategies and decisions that are subject to change. Factors which could cause actual results to differ materially from those anticipated include, but are not limited to: competitive and general business, economic, market and political conditions in the United States and abroad from those expected; changes in the legal, regulatory and legislative environments in the markets in which Two Sigma operates; and the ability of management to effectively implement certain strategies. Words like believe, expect, anticipate, promise, plan, and other expressions or words of similar meanings, as well as future or conditional verbs such as will, would, should, could, or may are generally intended to identify forward-looking statements. Two Sigma makes no representations, express or implied, regarding the accuracy or completeness of this information, and the recipient accepts all risks in relying on this report for any purpose whatsoever. This report is being furnished to the recipient on a confidential basis and is not intended for public use or distribution. By accepting this report, the recipient agrees to keep confidential the existence of this report and the information contained herein. The recipient should not disclose, reproduce, distribute or otherwise make available the existence of and/or all or any portion of the information contained herein to any other person (other than its employees, officers and advisors on a need-to-know basis, whom the recipient will cause to keep the information confidential) without Two Sigma s prior written consent. This report shall remain the property of Two Sigma and Two Sigma reserves the right to require the return of this report at any time. 2016 Two Sigma Investments, LP ALL RIGHTS RESERVED Two Sigma and 2σ are trademarks of Two Sigma Investments, LP. Street View November 2016 5