Поправка на отбор стратегий и ненормальность доходностей для коэффициента Шарпа
Сводка
В ноутбуке объясняется, почему наблюдаемый коэффициент Шарпа стратегии нужно корректировать, если её выбрали из множества испытаний. Представлен дефлированный коэффициент Шарпа (DSR), который сравнивает выбранный результат с ориентиром, возрастающим вместе с числом и разбросом протестированных стратегий, и также учитывает асимметрию и эксцесс доходностей. Симуляция стратегий с нулевым преимуществом показывает, как лучший кажущийся коэффициент Шарпа может возникнуть только из-за отбора; второй эксперимент рассматривает отбор кандидатов с одинаковым истинным преимуществом.
В ноутбуке пошаговая реализация сравнивается с диагностической библиотекой; также обсуждаются вероятностный коэффициент Шарпа, вероятность переобучения на бэктесте и отдельная поправка к коэффициенту Шарпа. Рекомендуется записывать все варианты, указывать число испытаний и заранее задавать пороговые значения. Эти поправки зависят от оценённых моментов доходности и числа испытаний; корреляция стратегий усложняет оценку эффективного числа испытаний, а тест на переобучение может принять реальные изменения эффективности стратегии за нестабильность.
Ключевые идеи
- Выбор лучшего результата из множества испытаний повышает ожидаемый коэффициент Шарпа за счёт случайности.
- DSR корректирует ориентир с учётом числа и дисперсии испытаний, а также ненормальности доходностей.
- Отслеживай и раскрывай все проверенные варианты стратегии, в том числе отброшенные.
- Используй дополнительные меры проверки, поскольку предположения, на которых основана каждая из них, могут привести к ошибочным выводам.
Теги
Полный текст
# 08_forecasting_pipeline_20260609T141954Z_ef5bca7b95bd.json
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"snippet": "The IBR is a publication of the Indiana Business Research Center at IU's Kelley School of Business. *Recent developments in the U.S. and global economy present a complex and evolving picture for policymakers and business leaders. While our current readings of headline growth rema\u2026",
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"title": "Economic Outlook U.S. Q2 2026: Curb Your Enthusia",
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"snippet": "[Current Oil Price Surge To Weigh On Growth](https://www.spglobal.com/ratings/en/regulatory/article/economic-outlook-us-q2-2026-curb-your-enthusiasm-s101676533). Before the war broke out, we were expecting to increase our growth forecast for this year closer to 2.5% on higher-tha\u2026",
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"snippet": "This reflects the sizable capital expenditure plans that AI \u201chyperscalers\u201d have announced for this year.[4](https://www.deloitte.com/us/en/insights/topics/economy/us-economic-forecast/united-states-outlook-analysis.html#endnote-4)We now expect real business investment to grow by\u2026",
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"title": "United States GDP Growth Rate - Trading Economics",
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"snippet": "[](https://tradingeconomics.com/united-states/gdp-growth). [](https://tradingeconomics.com/united-states/gdp-growth). [Markets](https://tradingeconomics.com/united-states/gdp-growth#). [Forecasts](https://tradingeconomics.com/united-states/gdp-growth#). [](https://tradingeconomic\u2026",
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"title": "[PDF] Probability of US Recession Predicted by Treasury Spread",
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"snippet": "Probability of US Recession Predicted by Treasury Spread* Treasury Spread: 10 yr bond rate-3 month bill rate Monthly Average (Percent) 1959 1961 1963 1965 1967 1969 1971 1973 1975 1977 1979 1981 1983 1985 1987 1989 1991 1993 1995 1997 1999 2001 2003 2005 2007 2009 2011 2013 2015\u2026",
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"snippet": "The model classifies the business cycle into one of three phases\u2014expansion, U\u2011shaped recession, and L-shaped recession\u2014and estimates, for each point in time, the probability that each U.S. state is in one of these phases.[5](https://www.federalreserve.gov/econres/notes/feds-notes\u2026",
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"snippet": "</>. [Skip to Main](https://www.stlouisfed.org/on-the-economy/2025/may/making-sense-recession-probabilities#frbstl-content). [. [](https://www.philadelphiafed.org/-/media/FRBP/Assets/Surveys-And-Data/survey-of-professional-forecasters/2025/spfQ125.pdf \"Down\u2026",
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"Key evidence: 1) GDP growth forecasts show positive but slowing growth (1",
"8% by 2026 but remains historically low, 3) Federal Reserve recession risk indicators show low probability based on yield curve, credit spreads, and employment data, 4) New York Fed Treasury spread model shows 14",
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"bull_argument": "The probability of recession by 2026 is significantly underestimated. While current forecasts appear optimistic, multiple converging risk factors create a perfect storm scenario. The Federal Reserve's aggressive rate hiking cycle has created substantial lag effects that typically manifest 12-18 months later, meaning the full impact won't be felt until 2025-2026. Commercial real estate is facing a $1.5 trillion refinancing wall through 2026 with rates 3-4x higher than original loans, threatening widespread defaults. Geopolitical tensions including potential China-Taiwan conflict, ongoing Russia-Ukraine war, and Middle East instability could trigger supply chain disruptions and energy price spikes. The inverted yield curve has been a reliable recession predictor, correctly forecasting the last 7 recessions, and it inverted in 2022. Additionally, household savings rates have normalized from pandemic highs while credit card delinquencies are rising, indicating consumer stress that will reduce spending - the primary driver of US GDP.",
"bull_probability": 0.45,
"bear_argument": "The Bull's recession probability is significantly overstated due to several critical oversights. First, the Federal Reserve has already begun cutting rates from their peak, providing monetary accommodation that wasn't available in previous recession cycles - this proactive easing creates a crucial buffer against economic contraction. Second, the US labor market remains exceptionally robust with unemployment near historic lows and continuing job creation, providing the income stability necessary to sustain consumer spending. Third, corporate balance sheets are fundamentally stronger than pre-2008, with many companies holding record cash reserves and having refinanced debt at low rates during 2020-2022, creating resilience against higher borrowing costs. Fourth, while the yield curve inversion is noted, it's important that it has already begun normalizing, and the lag time from inversion to recession averages 16 months - we're already past that window from the 2022 inversion. Finally, the commercial real estate concerns, while real, represent a much smaller portion of the overall economy than residential real estate did in 2008, and banks are better capitalized to absorb losses. The combination of Fed flexibility, labor market strength, and improved financial system resilience suggests the economy can navigate current headwinds without falling into recession.",
"bear_probability": 0.18,
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"Federal Reserve rate hikes create 12-18 month lag effects, with full impact hitting 2025-2026",
"Commercial real estate faces $1.5 trillion refinancing crisis with rates 3-4x higher than original loans",
"Inverted yield curve correctly predicted last 7 recessions and inverted in 2022",
"Rising credit card delinquencies and normalized savings rates indicate growing consumer financial stress",
"Geopolitical risks including potential China-Taiwan conflict could trigger major economic disruption"
],
"bear_key_evidence": [
"Federal Reserve has already begun cutting rates from peak levels, providing monetary accommodation and policy flexibility not available in previous cycles",
"US unemployment remains near historic lows with continued job creation, providing income stability that supports consumer spending and economic growth",
"Corporate balance sheets are significantly stronger than pre-2008 with record cash reserves and debt refinanced at low rates during 2020-2022, creating resilience against higher borrowing costs"
]
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"bull_argument": "The Bear significantly underestimates recession risks by overlooking critical vulnerabilities that are building momentum. While the Fed has cut rates, they remain restrictive at 4.25-4.5% compared to the 0-0.25% range that previously supported growth, and the full impact of previous tightening typically materializes with 12-18 month lags - meaning we're still experiencing the contractionary effects of 2022-2023 rate hikes. The labor market strength is misleading as a leading indicator since employment is notoriously lagging - unemployment typically rises rapidly once recession begins, not before. Corporate balance sheets may appear strong, but this masks significant sectoral stress: commercial real estate faces $1.2 trillion in refinancing needs through 2026 at much higher rates, regional banks hold concentrated CRE exposure creating systemic risk, and zombie companies sustained by low rates now face refinancing cliffs. The yield curve normalization the Bear cites actually supports recession risk - historically, recessions often begin as curves steepen after inversion, not during the inversion itself. Most critically, the current economic expansion is already the 4th longest in US history at nearly 4 years post-COVID, and leading indicators including the Conference Board's LEI have shown persistent negative readings for over a year, signaling underlying weakness that GDP growth hasn't yet reflected.",
"bull_probability": 0.35,
"bear_argument": "The Bull's recession case relies on backward-looking patterns that don't account for the unprecedented monetary and fiscal policy tools now available. The Fed's current 4.25-4.5% rates aren't restrictive in today's context - they're normalized rates that reflect higher productivity growth and structural changes in the economy. The 'lagging effects' argument ignores that the economy has already absorbed most tightening impacts through 2023-2024 without significant damage. The commercial real estate concerns are overblown - while refinancing pressures exist, banks have been provisioning for losses since 2022, and the sector represents only 2.5% of GDP. Most importantly, the Bull mischaracterizes the current expansion timeline - measuring from the COVID trough artificially inflates expansion length, when the real expansion began in 2010. The economy has demonstrated remarkable resilience through multiple stress tests including supply chain disruptions, energy price shocks, and aggressive rate hikes. Leading indicators like the Conference Board LEI are notoriously noisy and have given false recession signals multiple times in recent decades. Current labor market strength, with unemployment near historic lows and job openings still elevated, provides substantial cushion against recession. Corporate balance sheets remain historically strong with low debt-to-equity ratios, and consumer spending continues to show resilience supported by excess savings and wage growth.",
"bear_probability": 0.15,
"consensus_reached": false,
"bull_key_evidence": [
"Commercial real estate refinancing cliff with $1.2 trillion needing refinancing at 3-4x higher rates through 2026, concentrated in vulnerable regional banks",
"Leading Economic Index has declined for 12+ consecutive months, historically preceding recessions by 6-12 months",
"Current expansion duration of ~4 years puts it in 75th percentile historically, with natural business cycle pressures building despite apparent current strength"
],
"bear_key_evidence": [
"Fed policy tools and bank reserves provide unprecedented recession prevention capability compared to historical periods",
"Corporate debt-to-equity ratios remain at multi-decade lows with $2+ trillion in excess cash on balance sheets",
"Consumer balance sheets show continued strength with debt service ratios near historic lows and $1.7 trillion in excess savings still providing spending support"
]
},
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"round_number": 3,
"bull_argument": "The Bear's optimism ignores critical structural vulnerabilities and timing patterns that strongly favor recession by 2026. First, the Bear mischaracterizes monetary policy transmission - while the economy absorbed initial tightening, the full impact of the most aggressive Fed cycle since the 1980s operates with 18-24 month lags, meaning peak effects are hitting now through 2026. The 4.25-4.5% rates ARE restrictive when real rates exceed 2% - historically recessionary territory. Second, the commercial real estate crisis is far from 'overblown' - $1.5 trillion in CRE loans need refinancing through 2026 at rates 3-4x higher than original terms, with office vacancy rates at 20%+ in major cities. This creates a banking sector stress comparable to the S&L crisis. Third, the Bear's expansion timeline argument actually supports the Bull case - whether measured from 2010 or 2020, we're at or near historical expansion limits, and no expansion has survived the combination of inverted yield curves, leading indicator deterioration, and credit tightening we've experienced. The labor market strength is a lagging indicator that typically peaks just before recessions. Most critically, the Bear ignores the unprecedented debt burden - total US debt-to-GDP at 350%+ creates deflationary pressures that monetary policy cannot easily overcome, while corporate debt servicing costs have tripled, forcing widespread layoffs and investment cuts already visible in manufacturing and tech sectors.",
"bull_probability": 0.45,
"bear_argument": "The Bull fundamentally overestimates recession risk by misreading both historical patterns and current economic resilience. First, the monetary policy transmission argument is flawed - the economy has already demonstrated remarkable adaptability to higher rates, with consumer spending remaining robust, unemployment near historic lows at 3.7%, and corporate earnings maintaining growth. If 18-24 month lags were deterministic, we'd already see clear recessionary signals, yet leading indicators are stabilizing. Second, the CRE crisis narrative is overblown - while refinancing challenges exist, banks have been proactively managing exposures since 2022, maintaining strong capital ratios above regulatory requirements. The banking sector stress comparison to S&Ls ignores modern risk management and regulatory oversight. Third, expansion length arguments ignore fundamental structural changes - the post-2008 economy operates with lower leverage, stronger household balance sheets, and more resilient financial institutions. The 2020 recession was an exogenous shock, not a traditional business cycle end, making expansion dating from 2020 more appropriate. Most critically, the Bull ignores powerful stabilizing forces: record household wealth from asset appreciation, corporate balance sheets flush with cash from pandemic-era financing, reshoring trends creating domestic investment opportunities, and fiscal policy remaining accommodative. The debt-to-GDP argument conflates gross debt with net debt service burden, which remains manageable given low average borrowing costs locked in during the low-rate era.",
"bear_probability": 0.15,
"consensus_reached": false,
"bull_key_evidence": [
"$1.5 trillion in commercial real estate refinancing needs through 2026 at 3-4x higher rates, with office vacancy rates exceeding 20%",
"Real interest rates above 2% with 18-24 month monetary transmission lags meaning peak tightening effects hit 2025-2026",
"Total US debt-to-GDP at 350%+ creates deflationary spiral risk while corporate debt servicing costs have tripled since 2022"
],
"bear_key_evidence": [
"Unemployment remains at historic lows of 3.7% with consumer spending growth continuing despite higher rates",
"Banking sector maintains strong capital ratios above regulatory requirements with proactive CRE exposure management since 2022",
"Household wealth at record levels from asset appreciation with corporate cash positions remaining elevated from pandemic-era financing"
]
}
],
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"bear_final_probability": 0.15,
"consensus_reached": false,
"early_termination": false,
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"disagreements": [
"Agent 0 relies on historical recession frequency (every 5.4-9 years) suggesting 2025-2026 timing is plausible, while other agents focus on current economic forecasts showing positive growth",
"All agents cite similar GDP growth forecasts (1.8-2.4% for 2026) but may be using incomplete or outdated data sources",
"The rationales appear cut off mid-sentence, suggesting missing critical information about recession indicators, yield curves, employment data, or other leading economic indicators"
],
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"How accurate have historical recession frequency models been compared to indicator-based forecasting models for predicting US recessions?"
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"title": "[PDF] National Economic Indicators, June 1, 2026",
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"snippet": "Recent indicators suggest that economic activity has been expanding at a solid pace. Job gains have remained low, on average, and the",
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"title": "[PDF] The U.S. Economic Outlook for 2025\u20132026 - University of Michigan",
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"snippet": "Calendar year real GDP growth picks up to 2.2 percent in 2026. The unemployment rate ticks up from 4.2 percent in. 2024Q4 to 4.3 percent in",
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"title": "Does this line predict America's next recession? - YouTube",
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"snippet": "The yield curve has predicted America's last eight recessions. In March this year it inverted again. So what does it mean for America?",
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"url": "https://www.stlouisfed.org/on-the-economy/2025/dec/professional-forecasters-past-performance-outlook-2026",
"snippet": "The consensus outlook for real GDP growth in 2026 is 1.9%, but it seems that forecasters have considerable disagreement on the outlook for the",
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"url": "https://www.deloitte.com/us/en/insights/topics/economy/us-economic-forecast/united-states-outlook-analysis.html",
"snippet": "The midpoint of the federal funds rate drops below 1% by the end of 2027. Real GDP is expected to decline by 0.4% in 2027 and 1% in 2028. A",
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"snippet": "The U.S. is facing this new shock from a solid starting point, and overall economic growth in 2026 is still expected to run at a healthy 2.4%.",
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"snippet": "U.S. growth is expected to rebound to 2.2% in 2026, driven by fiscal and monetary easing. money. Inflation will stay above 2%,",
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"url": "https://www.chicagofed.org/publications/chicago-fed-letter/2019/425",
Полный текст с указанием источника опубликован на условиях его лицензии. Лицензия: MIT
Это краткое изложение подготовлено исследовательским агентом Stratmill по оригиналу и не является его копией.