Literature: authors starting with B
78 studies, books and laws, each with its reference, a sentence on the content and the pages that cite it. All letters
Bacon (2008) · Practical Portfolio Performance Measurement and Attribution
Bacon, Carl R.. Wiley, 2nd edition.
A handbook of performance measurement: definitions of the Treynor, Calmar and Omega ratios, the Ulcer Index, the information ratio and many other metrics.
Cited in: CAGR: how to calculate the average annual return correctly · Portfolio reporting: how to report return, risk, attribution and costs properly · Risk metrics beyond the Sharpe ratio: Treynor, Calmar, Omega, Ulcer Index and more · Sortino ratio and Calmar ratio: measuring downside risk · Time-weighted and money-weighted return: what measures what? · Multi-asset attribution: weighting schemes, top-down and bottom-up, currencies and overlays · Performance attribution: Brinson decomposition, factors and linking over time · Metrics methodology: how Portfolio Lab measures return and risk · Risk & attribution: methodology of risk decomposition and Brinson attribution · Private markets methodology: analyzing funds, forecasting cash flows, planning commitments · Glossary: Modified Dietz method · Glossary: Lower partial moment · Glossary: Omega ratio · Glossary: Martin ratio · Glossary: Sterling ratio · Glossary: Upside capture ratio · Glossary: Downside capture ratio
Bacon (2019) · Performance Attribution: History and Progress
Bacon, Carl R.. CFA Institute Research Foundation, Literature Review; accessed October 25, 2026. Source
Survey of attribution from Brinson to the present: multi-level models, top-down and bottom-up, currencies following Karnosky and Singer, bonds, linking, arithmetic versus geometric, and derivatives with notional holdings.
Cited in: Multi-asset attribution: weighting schemes, top-down and bottom-up, currencies and overlays · Glossary: Multi-level attribution · Glossary: Geometric attribution
Baele et al. (2010) · The Determinants of Stock and Bond Return Comovements
Baele, Lieven; Bekaert, Geert; Inghelbrecht, Koen. The Review of Financial Studies 23 (6), pp. 2374–2428. doi:10.1093/rfs/hhq014
A dynamic factor model with regime switching: macroeconomic fundamentals barely explain the correlation between stocks and bonds, while liquidity measures and other factors play a larger role; the model fits the covariances worst.
Cited in: Stock-bond correlation: regimes, drivers and what it means for 60/40, risk parity and hedging
Bai and Collin-Dufresne (2019) · The CDS-bond basis
Bai, Jennie; Collin-Dufresne, Pierre. Financial Management 48 (2), pp. 417–439. doi:10.1111/fima.12252
The CDS-bond basis deviates further from zero where liquidity, funding costs, counterparty risk and collateral quality make arbitrage harder.
Cited in: Basis trades: positive and negative basis in bonds, CDS and futures · Glossary: CDS-bond basis
Bai and Perron (1998) · Estimating and Testing Linear Models with Multiple Structural Changes
Bai, Jushan; Perron, Pierre. Econometrica 66 (1). doi:10.2307/2998540
Theory for estimating and testing multiple structural breaks in regressions, including tests for the number of break points.
Cited in: Regime models: hidden Markov, Markov switching and more · Glossary: Structural break
Bai et al. (2015) · The Impact of Leveraged and Inverse ETFs on Underlying Real Estate Returns
Bai, Qing; Bond, Shaun A.; Hatch, Brian. Real Estate Economics 43 (1), pp. 37–66. doi:10.1111/1540-6229.12061
Six leveraged and inverse real estate ETFs influenced the end-of-day prices of 63 real estate stocks, increased their volatility and amplified price momentum.
Cited in: How leveraged ETFs are built: swaps, daily rebalancing and gamma risk
Bailey et al. (2016) · The probability of backtest overfitting
Bailey, David; Borwein, Jonathan; López de Prado, Marcos; Zhu, Qiji Jim. The Journal of Computational Finance. doi:10.21314/jcf.2016.322
Estimates the probability that the best strategy in a backtest is merely overfitted (probability of backtest overfitting).
Cited in: Alternative data: job ads, Reddit, X, satellites and card payments · Backtest overfitting: when the past looks too good · Deflated Sharpe ratio: how much skill is in a Sharpe ratio? · Probability of backtest overfitting: does the best variant deliver what the backtest promises? · Overfitting check and diversification return: the calculations in Backtest and Tactical · Glossary: Combinatorially symmetric cross-validation · Glossary: Logit of the rank · Glossary: Performance degradation · Glossary: Overfitting · Glossary: Probability of backtest overfitting
Bailey and López de Prado (2012) · The Sharpe ratio efficient frontier
Bailey, David H.; López de Prado, Marcos. The Journal of Risk 15 (2), pp. 3–44. doi:10.21314/JOR.2012.255
Introduces the probabilistic Sharpe ratio and the minimum track record length: how likely is it that an estimated Sharpe ratio exceeds a threshold when returns are not normally distributed?
Cited in: Deflated Sharpe ratio: how much skill is in a Sharpe ratio? · Overfitting check and diversification return: the calculations in Backtest and Tactical · Glossary: Probabilistic Sharpe ratio · Glossary: Minimum track record length · Glossary: Standard error of the Sharpe ratio
Bailey et al. (2014) · Pseudo-Mathematics and Financial Charlatanism: The Effects of Backtest Overfitting on Out-of-Sample Performance
Bailey, David H.; Borwein, Jonathan M.; López de Prado, Marcos; Zhu, Qiji Jim. Notices of the American Mathematical Society 61 (5), pp. 458–471. doi:10.1090/noti1105
Shows how quickly a high backtest Sharpe ratio emerges when many variants are tested, and derives a minimum backtest length.
Cited in: Deflated Sharpe ratio: how much skill is in a Sharpe ratio? · Probability of backtest overfitting: does the best variant deliver what the backtest promises? · Overfitting check and diversification return: the calculations in Backtest and Tactical
Bailey and López de Prado (2014) · The Deflated Sharpe Ratio: Correcting for Selection Bias, Backtest Overfitting, and Non-Normality
Bailey, David H.; López de Prado, Marcos. The Journal of Portfolio Management 40 (5), pp. 94–107. doi:10.3905/jpm.2014.40.5.094
The deflated Sharpe ratio corrects a Sharpe ratio for the number of strategies tried and for skewness and kurtosis.
Cited in: How to backtest an ETF portfolio: a guide to portfolio backtesting · Sharpe ratio: return per unit of risk · Backtest overfitting: when the past looks too good · Deflated Sharpe ratio: how much skill is in a Sharpe ratio? · Probability of backtest overfitting: does the best variant deliver what the backtest promises? · Overfitting check and diversification return: the calculations in Backtest and Tactical · Glossary: Expected maximum Sharpe ratio · Glossary: Effective number of trials · Glossary: Multiple testing · Glossary: Selection bias · Glossary: Deflated Sharpe ratio
Bailey and López de Prado (2021) · How “Backtest Overfitting” in Finance Leads to False Discoveries
Bailey, David H.; López de Prado, Marcos. Significance 18 (6), pp. 22–25. doi:10.1111/1740-9713.01588
Written for a general audience: why strategies optimized on historical data are often statistical mirages and perform poorly in practice.
Cited in: Probability of backtest overfitting: does the best variant deliver what the backtest promises?
Bailey (1992) · Are Manager Universes Acceptable Performance Benchmarks?
Bailey, Jeffery V.. The Journal of Portfolio Management 18 (3), pp. 9–13. doi:10.3905/jpm.1992.9
Lists the properties of a valid benchmark (unambiguous, investable, measurable, appropriate, reflective of current investment opinions, specified in advance) and shows that peer groups of other managers do not meet them.
Cited in: Portfolio reporting: how to report return, risk, attribution and costs properly
Bailey (1992) · Evaluating Benchmark Quality
Bailey, Jeffery V.. Financial Analysts Journal 48 (3), pp. 33–39. doi:10.2469/faj.v48.n3.33
Tests of benchmark quality: coverage, turnover, predominantly positive active weights, tracking error, correlations of market-adjusted returns and similar style characteristics.
Cited in: Portfolio reporting: how to report return, risk, attribution and costs properly
Bailey et al. (1963) · A Regression Method for Real Estate Price Index Construction
Bailey, Martin J.; Muth, Richard F.; Nourse, Hugh O.. Journal of the American Statistical Association 58 (304), pp. 933–942. doi:10.1080/01621459.1963.10480679
Establishes the repeat-sales index: prices of the same property at different times, combined in a regression, sidestep quality differences and yield standard errors for the index.
Cited in: Collectibles as an investment: what art, wine, watches and classic cars really return · Real estate as an investment: rental property, REITs, open-end funds and private real estate · Glossary: Repeat-sales index
Bajgrowicz and Scaillet (2012) · Technical trading revisited: False discoveries, persistence tests, and transaction costs
Bajgrowicz, Pierre; Scaillet, Olivier. Journal of Financial Economics 106 (3), pp. 473–491. doi:10.1016/j.jfineco.2012.06.001
Technical rules on the Dow Jones in 1897–2011 assessed with the false discovery rate: even low trading costs eliminate the in-sample excess return.
Cited in: Technical analysis, chart patterns and candlesticks from a quant perspective
Baker and Wurgler (2004) · A Catering Theory of Dividends
Baker, Malcolm; Wurgler, Jeffrey. The Journal of Finance 59 (3), pp. 1125–1165. doi:10.1111/j.1540-6261.2004.00658.x
Companies start paying dividends when investors value dividend payers at a premium, so they are catering to demand.
Cited in: Dividend strategies and dividend ETFs under scrutiny: irrelevance, factors, risks
Baker and Wurgler (2006) · Investor Sentiment and the Cross-Section of Stock Returns
Baker, Malcolm; Wurgler, Jeffrey. The Journal of Finance 61 (4), pp. 1645–1680. doi:10.1111/j.1540-6261.2006.00885.x
When sentiment is low, small, young, volatile and hard-to-value stocks subsequently earn higher returns; when it is high, they earn lower returns.
Cited in: Sentiment: methodology for the fear and greed index, put/call ratio and COT
Baker et al. (2011) · Benchmarks as Limits to Arbitrage: Understanding the Low-Volatility Anomaly
Baker, Malcolm; Bradley, Brendan; Wurgler, Jeffrey. Financial Analysts Journal 67 (1), pp. 40–54. doi:10.2469/faj.v67.n1.4
Explains the low-volatility anomaly by benchmark mandates for fund managers and investors' preference for lotteries.
Cited in: The low-volatility anomaly and betting against beta · Glossary: Low-volatility anomaly
Bakshi and Kapadia (2003) · Delta-Hedged Gains and the Negative Market Volatility Risk Premium
Bakshi, Gurdip; Kapadia, Nikunj. Review of Financial Studies 16 (2), pp. 527–566. doi:10.1093/rfs/hhg002
Delta-hedged long positions in index options perform worse than zero on average, which is evidence of a negative volatility risk premium.
Cited in: Market expectations: what the yield curve, inflation-linked bonds and options reveal about the future · Option pricing: where fair option prices come from · Tail hedging: what put protection costs, when it pays off and what short-vol strategies teach
Bakshi et al. (2011) · The Baltic Dry Index as a Predictor of Global Stock Returns, Commodity Returns, and Global Economic Activity
Bakshi, Gurdip; Panayotov, George; Skoulakis, Georgios. SSRN. doi:10.2139/ssrn.1787757
Growth in a dry bulk freight rate index predicts stock and commodity returns and global economic activity, both in and out of sample.
Cited in: Ship tracking data and satellite images: what they reveal about commodities · Glossary: Freight rate index
Bali et al. (2011) · Maxing out: Stocks as lotteries and the cross-section of expected returns
Bali, Turan G.; Cakici, Nusret; Whitelaw, Robert F.. Journal of Financial Economics 99 (2), pp. 427–446. doi:10.1016/j.jfineco.2010.08.014
Stocks with the highest daily return in the previous month (MAX) subsequently earn lower returns: investors overpay for lottery-like chances of large gains.
Cited in: Stock picking: why individual stocks are so hard to get right · Glossary: Lottery stock
Ball and Brown (1968) · An Empirical Evaluation of Accounting Income Numbers
Ball, Ray; Brown, Philip. Journal of Accounting Research 6 (2), pp. 159–178. doi:10.2307/2490232
Classic study of the price reaction to annual earnings: much of the information is already in the price before the announcement.
Cited in: Event studies: how to measure and test price reactions to events
Baltas and Kosowski (2020) · Demystifying Time-Series Momentum Strategies: Volatility Estimators, Trading Rules and Pairwise Correlations
Baltas, Nick; Kosowski, Robert. Wiley; in: Satchell, Stephen; Grant, Andrew (eds.), Market Momentum: Theory and Practice. doi:10.1002/9781119599364.ch3
How volatility estimators and signals drive the turnover of trend strategies and why higher correlations between markets after the financial crisis depressed results; with a cost model for rolling and rebalancing.
Cited in: CTAs and managed futures: industry, position sizing, costs and crisis protection
Baltussen et al. (2021) · Hedging Demand and Market Intraday Momentum
Baltussen, Guido; Da, Zhi; Lammers, Sten; Martens, Martin. Journal of Financial Economics 142 (1), pp. 377–403. doi:10.1016/j.jfineco.2021.04.029
Hedging short gamma means trading with the market: in more than 60 futures on equities, bonds, commodities and currencies (1974 to 2020), the return over the rest of the day predicts the return in the last 30 minutes before the close, linked to the gamma hedging of options market makers and leveraged ETFs.
Cited in: How leveraged ETFs are built: swaps, daily rebalancing and gamma risk
Banca d'Italia (2026) · The European Parliament decided to open negotiations on the Digital Euro Regulation (July 9, 2026)
Banca d'Italia. Banca d'Italia; accessed October 25, 2026. Source
The European Parliament adopted its negotiating mandate on the digital euro by 416 votes to 169 with 22 abstentions; the aim is to conclude the legislative process by the end of 2026.
Cited in: Digital assets: tokenization, stablecoins, crypto securities and the digital euro
BIS (2018) · The equity market turbulence of 5 February: the role of exchange-traded volatility products (box in the BIS Quarterly Review, March 2018, pp. 4-6)
Bank for International Settlements. Bank for International Settlements, March 11, 2018 (chart corrected March 21, 2018); accessed October 26, 2026. Source
On February 5, 2018 the S&P 500 fell by 4.2% and the VIX rose by 20 points; leveraged and inverse VIX products had to buy VIX futures shortly before 16:15, and the inverse product XIV lost 84% and was terminated.
Cited in: Tail hedging: what put protection costs, when it pays off and what short-vol strategies teach · Glossary: Volmageddon
BIS (2025) · Next-generation monetary and financial system takes shape, based on a tokenised unified ledger: BIS (press release on the Annual Economic Report 2025, Chapter III, June 24, 2025)
Bank for International Settlements. Bank for International Settlements; accessed October 25, 2026. Source
Tokenization on a unified ledger with central bank reserves, bank deposits and government bonds; stablecoins fail the tests of singleness, elasticity and integrity.
Cited in: Digital assets: tokenization, stablecoins, crypto securities and the digital euro · Glossary: Tokenization
BIS (2026) · Annual Economic Report 2026, Chapter III: Anchoring trust in money: innovation beyond stablecoins
Bank for International Settlements. Bank for International Settlements; accessed October 25, 2026. Source
The market value of stablecoins was about US$320 billion at the end of May 2026, with 99.4% of fiat-backed stablecoins pegged to the dollar; redemption at par across issuers and blockchains is not assured in all circumstances.
Cited in: Digital assets: tokenization, stablecoins, crypto securities and the digital euro · Glossary: Stablecoin
Bank of England (2023) · Bank staff paper: LDI minimum resilience – recommendation and explainer
Bank of England. Bank of England, Financial Policy Committee, March 29, 2023; accessed October 25, 2026. Source
Recommendation to the UK pensions regulator: LDI funds and mandates should be able to withstand a yield rise of at least about 250 basis points without forced sales.
Cited in: Liability-driven investing and cash flow driven investing: covering liabilities with bonds · Overlay management with futures: beta, duration and currency overlays, contract numbers and liquidity needs
Bank of England, APF (2023) · Asset Purchase Facility Quarterly Report – 2022 Q4
Bank of England. Bank of England; accessed October 25, 2026. Source
The size and unwinding of the temporary gilt purchases made to safeguard financial stability in autumn 2022.
Cited in: Liability-driven investing and cash flow driven investing: covering liabilities with bonds
Banz (1981) · The relationship between return and market value of common stocks
Banz, Rolf W.. Journal of Financial Economics 9 (1), pp. 3–18. doi:10.1016/0304-405x(81)90018-0
Discovers the size effect: small companies earned higher returns than the CAPM would predict.
Cited in: Equal weight vs cap weight: weighting, rebalancing and factor tilts · Factor investing: understanding the Fama-French factors · Glossary: SMB · Glossary: Size premium
Bao et al. (2011) · The Illiquidity of Corporate Bonds
Bao, Jack; Pan, Jun; Wang, Jiang. The Journal of Finance 66 (3), pp. 911–946. doi:10.1111/j.1540-6261.2011.01655.x
The illiquidity of US corporate bonds in 2003–2009 is substantial, greater than bid-ask spreads can explain, and accounts for a large part of the time variation in the yield spreads of highly rated bonds.
Cited in: Market making and bond trading: spread, inventory, axes, RFQ, cross trades and matrix pricing
Barber and Lyon (1997) · Detecting long-run abnormal stock returns: The empirical power and specification of test statistics
Barber, Brad M.; Lyon, John D.. Journal of Financial Economics 43 (3), pp. 341–372. doi:10.1016/S0304-405X(96)00890-2
Over one to five years, tests against a market index are misspecified; matching firms of the same size and book-to-market ratio largely fix this.
Cited in: Event studies: how to measure and test price reactions to events · Glossary: Buy-and-hold abnormal return
Barber and Odean (2000) · Trading Is Hazardous to Your Wealth: The Common Stock Investment Performance of Individual Investors
Barber, Brad M.; Odean, Terrance. The Journal of Finance 55 (2), pp. 773–806. doi:10.1111/0022-1082.00226
Individual investors who trade a lot earn markedly lower returns than passive investors.
Cited in: Core-satellite with a broad core and targeted satellites: costs, tracking error and rules · Market timing: can you pick the right moment? · Stock picking: why individual stocks are so hard to get right · The efficient market hypothesis: why it is so hard to beat the market · Time-weighted and money-weighted return: what measures what? · Glossary: Overconfidence
Barber and Odean (2008) · All That Glitters: The Effect of Attention and News on the Buying Behavior of Individual and Institutional Investors
Barber, Brad M.; Odean, Terrance. The Review of Financial Studies 21 (2), pp. 785–818. doi:10.1093/rfs/hhm079
Individual investors mainly buy attention-grabbing stocks: stocks in the news, with unusually high trading volume or with extreme daily returns.
Cited in: Core-satellite with a broad core and targeted satellites: costs, tracking error and rules · Thematic ETFs and hype: what studies, costs and overlaps reveal
Barden et al. (2024) · Fewer tankers transit the Red Sea in 2024
Barden, Justine; Dunn, Candace; Merolli, Paul. U.S. Energy Information Administration, Today in Energy, October 11, 2024. Source
After the attacks in the Red Sea, oil flows through the Bab el-Mandeb fell by more than half, while more tankers sailed around the Cape of Good Hope.
Cited in: Ship tracking data and satellite images: what they reveal about commodities
Barkhagen et al. (2023) · Optimising portfolio diversification and dimensionality
Barkhagen, M.; García, S.; Gondzio, J.; Kalcsics, J.; Kroeske, J.; Sabanis, S. et al.. Journal of Global Optimization 85 (1), pp. 185–234. doi:10.1007/s10898-022-01202-7
Portfolio dimensionality: links diversification to the non-normality of portfolio returns through ratios of homogeneous risk measures (independent of leverage); maximizing it is non-convex and is solved with two global optimization methods.
Cited in: Beyond Markowitz: estimation error, noise and true diversification · Glossary: Portfolio dimensionality
Barroso and Santa-Clara (2015) · Momentum has its moments
Barroso, Pedro; Santa-Clara, Pedro. Journal of Financial Economics 116 (1), pp. 111–120. doi:10.1016/j.jfineco.2014.11.010
Momentum had the highest Sharpe ratio of the classic factors but the worst crashes; its risk varies strongly and is predictable, and managing it accordingly nearly eliminates the crashes and almost doubles the Sharpe ratio.
Barth and Kahn (2021) · Hedge Funds and the Treasury Cash-Futures Disconnect
Barth, Daniel; Kahn, R. Jay. Office of Financial Research, U.S. Department of the Treasury, Working Paper 21-01. doi:10.67236/faxi2748
The rise and unwinding of hedge funds' Treasury basis trade after 2016 and in March 2020, more a consequence than the main cause of the market stress.
Cited in: Basis trades: positive and negative basis in bonds, CDS and futures
Barth et al. (2023) · Recent Developments in Hedge Funds' Treasury Futures and Repo Positions: is the Basis Trade “Back”?
Barth, Daniel; Kahn, R. Jay; Mann, Robert. Board of Governors of the Federal Reserve System, FEDS Notes, August 30, 2023. doi:10.17016/2380-7172.3355
Analysis of futures and repo data: the basis trade is probably back, at least in part.
Cited in: Basis trades: positive and negative basis in bonds, CDS and futures
Bartram et al. (2008) · Does adverse selection affect bid–ask spreads for options?
Bartram, Söhnke M.; Fehle, Frank; Shrider, David G.. Journal of Futures Markets 28 (5), pp. 417–437. doi:10.1002/fut.20316
Bank-issued warrants on the EUWAX had narrower bid-ask spreads than comparable Eurex options; adverse selection accounts for at least half of the spread on Eurex.
Cited in: Glossary: Warrant
Basel Committee on Banking Supervision (2009) · Principles for sound stress testing practices and supervision
Basel Committee on Banking Supervision. Bank for International Settlements, May 2009 (superseded in 2018); accessed October 25, 2026. Source
Principles for banks' stress testing and its review by supervisors, in response to the weaknesses in stress testing that the financial crisis had exposed.
Basel Committee (2011) · Capital treatment for bilateral counterparty credit risk finalised by the Basel Committee (press release)
Basel Committee on Banking Supervision. Bank for International Settlements, Basel, June 1, 2011; accessed October 25, 2026. Source
Finalization of the Basel III rules on counterparty risk, with a capital charge for CVA risk; during the financial crisis, about two thirds of counterparty credit risk losses came from CVA changes.
Cited in: Counterparty and issuer risk: CVA, ETCs, certificates and swaps · Glossary: Credit valuation adjustment
Basel Committee on Banking Supervision (2018) · Stress testing principles
Basel Committee on Banking Supervision. Bank for International Settlements, October 17, 2018; accessed October 25, 2026. Source
Nine principles on the objectives, governance, data, models and review of stress tests; scenarios should be severe but plausible, and reverse stress tests look for scenarios that could cause a bank to fail.
Cited in: Historical stress testing: how to apply past crises to your portfolio today · Scenario analysis and sensitivity analysis: stress testing equity, interest rate, credit and currency risk · Scenario methodology: how Portfolio Lab runs stress tests · Glossary: Stress test · Glossary: Reverse stress test · Glossary: Historical scenario · Glossary: Hypothetical scenario
Basel Committee (2020) · Basel Committee publishes final revisions to the credit valuation adjustment risk framework (press release)
Basel Committee on Banking Supervision. Bank for International Settlements, Basel, July 8, 2020; accessed October 25, 2026. Source
Final revisions to the Basel III CVA framework: risk weights, cleared client transactions, the standardized and basic approaches, aligned with the market risk framework.
Cited in: Counterparty and issuer risk: CVA, ETCs, certificates and swaps
BCBS, CPMI and IOSCO (2022) · BCBS-CPMI-IOSCO finalise analysis of margining practices during the March 2020 market turmoil (press release on the report “Review of margining practices”)
Basel Committee on Banking Supervision; Committee on Payments and Market Infrastructures; International Organization of Securities Commissions. Bank for International Settlements, September 29, 2022; accessed October 26, 2026. Source
In March 2020, central counterparties' variation margin calls peaked at US$140 billion on March 9, and initial margin in central clearing rose by about US$300 billion over the month.
Cited in: Overlay management with futures: beta, duration and currency overlays, contract numbers and liquidity needs · Glossary: Variation margin
Basel Committee (2024) · Basel Committee publishes final disclosure framework for banks' cryptoasset exposures and targeted amendments to its cryptoasset standard (press release, July 17, 2024)
Basel Committee on Banking Supervision. Bank for International Settlements; accessed October 25, 2026. Source
A disclosure framework and targeted amendments to the December 2022 cryptoasset standard, mainly on the criteria for Group 1b stablecoins; both apply from January 1, 2026.
Cited in: Crypto in institutional portfolios: access, custody, regulation and risk budget
Basel Framework, SCO60 (2024) · The Basel Framework, SCO60: Cryptoasset exposures (version in force from January 1, 2026, last amended November 27, 2024)
Basel Committee on Banking Supervision. Bank for International Settlements; accessed October 25, 2026. Source
Banks' crypto exposures in Groups 1a, 1b, 2a and 2b; a risk weight of 1,250% for Group 2b, and total Group 2 exposures generally up to 1%, and at most 2%, of Tier 1 capital.
Cited in: Crypto in institutional portfolios: access, custody, regulation and risk budget
Basel Committee (2026) · Basel Committee meets to advance supervisory and regulatory initiatives and discuss risks and vulnerabilities to the global banking system (press release, October 1, 2026)
Basel Committee on Banking Supervision. Bank for International Settlements; accessed October 25, 2026. Source
The Committee is conducting a targeted review of specific elements of its standard for banks' crypto exposures and intends to provide an update by the end of 2026.
Cited in: Crypto in institutional portfolios: access, custody, regulation and risk budget
Baule et al. (2008) · Credit risk and bank margins in structured financial products: Evidence from the German secondary market for discount certificates
Baule, Rainer; Entrop, Oliver; Wilkens, Marco. Journal of Futures Markets 28 (4), pp. 376–397. doi:10.1002/fut.20309
Discount certificates in the secondary market: with a model that combines market and credit risk, total margins are rather low, and the component for the bank's credit risk makes up a substantial part of them.
Cited in: Glossary: Discount certificate · Glossary: Issuer margin
Baule and Blonski (2015) · The Demand for Warrants and Issuer Pricing Strategies
Baule, Rainer; Blonski, Philip. Journal of Futures Markets 35 (12), pp. 1195–1219. doi:10.1002/fut.21703
Retail investors tend to buy the warrant with the lowest margin among similar ones but do not respond to the general margin level; issuers vary the margin with moneyness.
Cited in: Glossary: Warrant
Baum et al. (1970) · A Maximization Technique Occurring in the Statistical Analysis of Probabilistic Functions of Markov Chains
Baum, Leonard E.; Petrie, Ted; Soules, George; Weiss, Norman. The Annals of Mathematical Statistics 41 (1), pp. 164–171. doi:10.1214/aoms/1177697196
An iterative method for estimating hidden Markov chains, known today as the Baum-Welch algorithm.
Cited in: Regime models: hidden Markov, Markov switching and more · Regime methodology: how the hidden Markov model works · Glossary: Hidden Markov model · Glossary: Baum-Welch algorithm
Baur and Lucey (2010) · Is Gold a Hedge or a Safe Haven? An Analysis of Stocks, Bonds and Gold
Baur, Dirk G.; Lucey, Brian M.. Financial Review 45 (2), pp. 217–229. doi:10.1111/j.1540-6288.2010.00244.x
On average, gold is a hedge against equities and a safe haven in extreme downturns, but only in the short term.
Cited in: All Weather portfolio: ready for every economic climate? · Gold in a portfolio: safe haven, inflation hedge or just shiny? · Glossary: Safe haven · Glossary: Gold
Baur and McDermott (2010) · Is gold a safe haven? International evidence
Baur, Dirk G.; McDermott, Thomas K.. Journal of Banking & Finance 34 (8), pp. 1886–1898. doi:10.1016/j.jbankfin.2009.12.008
Tests gold as a safe haven for the stock markets of many countries, including in individual crises.
Cited in: Gold in a portfolio: safe haven, inflation hedge or just shiny?
Baxter and Jermann (1997) · The International Diversification Puzzle Is Worse Than You Think
Baxter, Marianne; Jermann, Urban J.. American Economic Review 87 (1), pp. 170–180. Source
Returns on human and physical capital are closely linked in four industrial countries; hedging human capital would require a short position in domestic assets.
Cited in: Your whole wealth: total wealth from portfolio, home, human capital and car
Beasley et al. (2003) · An evolutionary heuristic for the index tracking problem
Beasley, J. E.; Meade, N.; Chang, T.-J.. European Journal of Operational Research 148 (3), pp. 621–643. doi:10.1016/s0377-2217(02)00425-3
Heuristic for selecting a limited number of securities that track an index as closely as possible.
Cited in: Index replication: full replication, optimized sampling and swaps
Beber and Pagano (2013) · Short-Selling Bans Around the World: Evidence from the 2007–09 Crisis
Beber, Alessandro; Pagano, Marco. The Journal of Finance 68 (1), pp. 343–381. doi:10.1111/j.1540-6261.2012.01802.x
Short-selling bans in the financial crisis harmed liquidity, slowed price discovery and did not support prices, except possibly for US financial stocks.
Cited in: Short selling, hedge funds and hedging: types and how they work
Becker et al. (2015) · Markowitz versus Michaud: portfolio optimization strategies reconsidered
Becker, Franziska; Gürtler, Marc; Hibbeln, Martin. The European Journal of Finance 21 (4), pp. 269–291. doi:10.1080/1351847X.2013.830138
Large simulation study: on average, classical optimization beats resampling, and the choice of estimators and weight constraints matters more.
Cited in: Michaud resampled optimization: more stable portfolio weights through simulation · Optimization methodology: estimation, objectives, Black-Litterman, resampling and walk-forward
Bekaert and Wang (2010) · Inflation risk and the inflation risk premium
Bekaert, Geert; Wang, Xiaozheng. Economic Policy 25 (64), pp. 755–806. doi:10.1111/j.1468-0327.2010.00253.x
Estimates the inflation risk premium in bond yields across countries.
Cited in: Real return: what is left after inflation · Liquid real assets: inflation protection with tradable real assets in a portfolio · Market expectations: what the yield curve, inflation-linked bonds and options reveal about the future · Bond math: calculating price, yield, duration, convexity and spreads · Glossary: Breakeven inflation · Glossary: Inflation risk premium · Glossary: Inflation beta
Ben Dor and Xu (2011) · Fallen Angels: Characteristics, Performance, and Implications for Investors
Ben Dor, Arik; Xu, Zhe. The Journal of Fixed Income 20 (4), pp. 33–58. doi:10.3905/jfi.2011.20.4.033
After the downgrade, fallen angels initially perform worse than comparable high-yield bonds and then recover over up to two years, the more strongly the deeper the fall.
Cited in: Distressed debt: strategies, bankruptcy law, recovery rates and returns when investing in crises · Glossary: Fallen angel
Ben-David et al. (2017) · Exchange-Traded Funds
Ben-David, Itzhak; Franzoni, Francesco; Moussawi, Rabih. Annual Review of Financial Economics 9 (1), pp. 169–189. doi:10.1146/annurev-financial-110716-032538
An overview of ETFs: structure, arbitrage, liquidity and their effect on markets.
Cited in: ETF basics: costs, replication and distributions · Thematic ETFs and hype: what studies, costs and overlaps reveal · Index providers and valuation points: why the same index is calculated differently · Order types and execution: from limit orders to MOC, VWAP, TAS and BTIC · Glossary: ETF · Glossary: Creation and redemption
Ben-David et al. (2018) · Do ETFs Increase Volatility?
Ben-David, Itzhak; Franzoni, Francesco; Moussawi, Rabih. The Journal of Finance 73 (6), pp. 2471–2535. doi:10.1111/jofi.12727
ETFs pass liquidity shocks on to the stocks they hold and increase the volatility of those stocks.
Ben-David et al. (2023) · Competition for Attention in the ETF Space
Ben-David, Itzhak; Franzoni, Francesco; Kim, Byungwook; Moussawi, Rabih. The Review of Financial Studies 36 (3), pp. 987–1042. doi:10.1093/rfs/hhac048
Specialized ETFs on attention-grabbing themes lose about 30% on a risk-adjusted basis in their first five years, mainly because their stocks are overvalued at launch.
Cited in: Thematic ETFs and hype: what studies, costs and overlaps reveal · Glossary: Thematic ETF
Benartzi and Thaler (1995) · Myopic Loss Aversion and the Equity Premium Puzzle
Benartzi, S.; Thaler, R. H.. The Quarterly Journal of Economics 110 (1), pp. 73–92. doi:10.2307/2118511
Myopic loss aversion: investors who check their portfolio too often perceive equities as too risky.
Cited in: Dollar-cost averaging: what the average-cost effect really delivers · Lump sum or dollar-cost averaging: invest a large amount at once or in installments? · Equity risk premium: how much more equities return and why it is a puzzle · Glossary: Equity premium puzzle · Glossary: Myopic loss aversion
Benartzi (2001) · Excessive Extrapolation and the Allocation of 401(k) Accounts to Company Stock
Benartzi, Shlomo. The Journal of Finance 56 (5), pp. 1747–1764. doi:10.1111/0022-1082.00388
About a third of the assets of large US company retirement plans is invested in the employer's own stock, the more so the better the stock has performed before.
Cited in: Your whole wealth: total wealth from portfolio, home, human capital and car · Glossary: Employer stock
Beneish and Whaley (1996) · An Anatomy of the “S&P Game”: The Effects of Changing the Rules
Beneish, Messod D.; Whaley, Robert E.. The Journal of Finance 51 (5), pp. 1909–1930. doi:10.1111/j.1540-6261.1996.tb05231.x
Since S&P began announcing changes five days in advance, added stocks have risen more than average between the announcement and the effective date; part of the gain reverses afterward.
Cited in: Smart indexing: added value for index funds around corporate actions and index changes
Bengen (1994) · Determining Withdrawal Rates Using Historical Data
Bengen, William P.. Journal of Financial Planning. Source
Uses US data since 1926 to test which inflation-adjusted initial withdrawal would have survived every historical period; the origin of the 4% rule, with a recommended equity share of 50 to 75%.
Cited in: Safe withdrawal rate: how good is the 4% rule? · FIRE (Financial Independence, Retire Early): Lean, Fat, Coast and Barista FIRE · Financial goals methodology: how Portfolio Lab simulates a life plan · Methodology of the free calculators: FIRE, savings plan, withdrawal and leveraged ETF · Glossary: FIRE number
Benzoni et al. (2007) · Portfolio Choice over the Life-Cycle when the Stock and Labor Markets Are Cointegrated
Benzoni, Luca; Collin-Dufresne, Pierre; Goldstein, Robert S.. The Journal of Finance 62 (5), pp. 2123–2167. doi:10.1111/j.1540-6261.2007.01271.x
If wages and dividends move together over the long run, human capital is equity-like for the young and bond-like for older people, and the optimal equity share follows a hump shape.
Cited in: Your whole wealth: total wealth from portfolio, home, human capital and car · Glossary: Life-cycle model
Berg et al. (2022) · Aggregate Confusion: The Divergence of ESG Ratings
Berg, Florian; Kölbel, Julian F.; Rigobon, Roberto. Review of Finance 26 (6), pp. 1315–1344. doi:10.1093/rof/rfac033
Compares the ESG ratings of six agencies and decomposes their divergence: 56% stems from different measurement, 38% from the scope of categories and 6% from weighting.
Cited in: Alternative data: job ads, Reddit, X, satellites and card payments · ESG ETFs: index rules, ratings, returns and the limits of sustainable funds · ESG methodology: sustainability in the look-through · Glossary: ESG rating
Berg et al. (2008) · Prediction market accuracy in the long run
Berg, Joyce E.; Nelson, Forrest D.; Rietz, Thomas A.. International Journal of Forecasting 24 (2), pp. 285–300. doi:10.1016/j.ijforecast.2008.03.007
Iowa Electronic Markets versus 964 polls in the US presidential elections from 1988 to 2004: the market was closer to the result 74% of the time and, for forecasts more than 100 days ahead, significantly better in every election (abstract checked on the Iowa Electronic Markets website).
Cited in: Prediction markets as bets on events: what they can and cannot do · Glossary: Prediction market
Berk and Green (2004) · Mutual Fund Flows and Performance in Rational Markets
Berk, Jonathan B.; Green, Richard C.. Journal of Political Economy 112 (6), pp. 1269–1295. doi:10.1086/424739
Competition for capital and decreasing returns to scale explain why active funds do not outperform on average and why success does not persist, even though most managers have skill.
Berkowitz (2000) · A coherent framework for stress testing
Berkowitz, Jeremy. The Journal of Risk 2 (2), pp. 5–15. doi:10.21314/jor.2000.021
Criticizes stress tests run outside the risk model because their scenarios have no probability, and proposes building them into the risk model with probabilities; previously published as a Federal Reserve working paper in 1999.
Cited in: Historical stress testing: how to apply past crises to your portfolio today · Scenario analysis and sensitivity analysis: stress testing equity, interest rate, credit and currency risk · Scenario methodology: how Portfolio Lab runs stress tests
Berkowitz et al. (1988) · The Total Cost of Transactions on the NYSE
Berkowitz, Stephen A.; Logue, Dennis E.; Noser, Eugene A.. The Journal of Finance 43 (1), pp. 97–112. doi:10.1111/j.1540-6261.1988.tb02591.x
Introduces the day's volume-weighted average price (VWAP) as a benchmark for execution costs; across more than 14,000 orders, commission and market impact together cost 23 basis points on average.
Cited in: Order types and execution: from limit orders to MOC, VWAP, TAS and BTIC · Glossary: VWAP
Bernardo and Ledoit (2000) · Gain, Loss, and Asset Pricing
Bernardo, Antonio E.; Ledoit, Olivier. Journal of Political Economy 108 (1), pp. 144–172. doi:10.1086/262114
Measures the attractiveness of an investment by the ratio of expected gain to expected loss (gain-loss ratio) and derives price bounds from it.
Cited in: Risk metrics beyond the Sharpe ratio: Treynor, Calmar, Omega, Ulcer Index and more
Bernhardt and Eckblad (2013) · Stock Market Crash of 1987
Bernhardt, Donald; Eckblad, Marshall. Federal Reserve History, as of November 22, 2013. Source
Overview of Black Monday on October 19, 1987, its causes including portfolio insurance, and the Fed's response.
Cited in: CPPI: portfolio insurance with cushion, floor and multiplier
Bernstein (2000) · The Intelligent Asset Allocator
Bernstein, William J.. McGraw-Hill.
An introduction to asset allocation using historical returns, correlations and rebalancing.
Cited in: Rebalancing: getting your portfolio back on course
Bertrand and Prigent (2002) · Portfolio Insurance Strategies: OBPI versus CPPI
Bertrand, Philippe; Prigent, Jean-Luc. SSRN. doi:10.2139/ssrn.299688
Compares option-based portfolio insurance (OBPI) and CPPI by payoff profile and behavior over time.
Cited in: CPPI: portfolio insurance with cushion, floor and multiplier · Glossary: OBPI
Bessembinder (1992) · Systematic Risk, Hedging Pressure, and Risk Premiums in Futures Markets
Bessembinder, Hendrik. Review of Financial Studies 5 (4), pp. 637–667. doi:10.1093/rfs/5.4.637
Returns on currency and agricultural futures are related to hedgers' net positions, so hedging pressure is part of the risk premium.
Cited in: Active or passive in bonds and commodities: why the rules differ from equities · Sentiment: methodology for the fear and greed index, put/call ratio and COT
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