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
Bessembinder (2018) · Do stocks outperform Treasury bills?
Bessembinder, Hendrik. Journal of Financial Economics 129 (3), pp. 440–457. doi:10.1016/j.jfineco.2018.06.004
More than half of US stocks since 1926 returned less than Treasury bills over their lifetimes; about 4% of companies account for all of the wealth created.
Cited in: CAGR: how to calculate the average annual return correctly · Compound interest: how returns on returns make wealth grow · Correlation and diversification: why mixing assets reduces risk · MSCI World vs ACWI vs FTSE All-World: structure, concentration and combinations · Thematic ETFs and hype: what studies, costs and overlaps reveal · Equal weight vs cap weight: weighting, rebalancing and factor tilts · Equity risk premium: how much more equities return and why it is a puzzle · Look-through: what is really inside your ETFs · Stock picking: why individual stocks are so hard to get right · Venture capital: funding rounds, valuation, the power law and what research knows about returns · Glossary: Few big winners
Bessembinder et al. (2020) · A Survey of the Microstructure of Fixed-Income Markets
Bessembinder, Hendrik; Spatt, Chester; Venkataraman, Kumar. Journal of Financial and Quantitative Analysis 55 (1), pp. 1–45. doi:10.1017/S0022109019000231
A survey of trading rules and costs in bond markets (government, corporate and municipal bonds, securitized products) compared with equities: OTC trading with search costs, dealer networks, limited transparency.
Cited in: Market making and bond trading: spread, inventory, axes, RFQ, cross trades and matrix pricing
Bessembinder et al. (2023) · Long-Term Shareholder Returns: Evidence from 64,000 Global Stocks
Bessembinder, Hendrik; Chen, Te-Feng; Choi, Goeun; Wei, K. C. John. Financial Analysts Journal 79 (3), pp. 33–63. doi:10.1080/0015198X.2023.2188870
Globally too, most stocks returned less than one-month US Treasury bills from 1990 to 2020, and a small fraction of companies created all of the wealth.
Cited in: Stock picking: why individual stocks are so hard to get right
Best and Grauer (1991) · On the Sensitivity of Mean-Variance-Efficient Portfolios to Changes in Asset Means: Some Analytical and Computational Results
Best, Michael J.; Grauer, Robert R.. Review of Financial Studies 4 (2), pp. 315–342. doi:10.1093/rfs/4.2.315
Shows how much optimal weights shift even with small changes in expected returns.
Cited in: Efficient frontier: Markowitz portfolio optimization · Beyond Markowitz: estimation error, noise and true diversification · Covariance estimation: why optimizers need shrinkage · Michaud resampled optimization: more stable portfolio weights through simulation · Optimization methodology: estimation, objectives, Black-Litterman, resampling and walk-forward
Betzer and Theissen (2009) · Insider Trading and Corporate Governance: The Case of Germany
Betzer, André; Theissen, Erik. European Financial Management 15 (2), pp. 402–429. doi:10.1111/j.1468-036x.2007.00422.x
German insider trades are associated with significant abnormal returns, more so ahead of earnings announcements; ownership structure and accounting matter, the insider's position does not.
Cited in: Insider trading: what is prohibited, what is allowed and what insider purchases reveal
Bhardwaj et al. (2014) · Fooling Some of the People All of the Time: The Inefficient Performance and Persistence of Commodity Trading Advisors
Bhardwaj, Geetesh; Gorton, Gary B.; Rouwenhorst, K. Geert. Review of Financial Studies 27 (11), pp. 3099–3132. doi:10.1093/rfs/hhu040
CTAs from 1994 to 2012: no significant excess return over US money market instruments after fees, against 6.1% before fees, most of which the managers kept; no alpha relative to simple futures strategies.
Cited in: Active or passive in bonds and commodities: why the rules differ from equities · CTAs and managed futures: industry, position sizing, costs and crisis protection · Glossary: Performance fee
Bhardwaj et al. (2015) · Facts and Fantasies about Commodity Futures Ten Years Later
Bhardwaj, Geetesh; Gorton, Gary; Rouwenhorst, Geert. National Bureau of Economic Research, NBER Working Paper 21243. doi:10.3386/w21243
Re-examines the findings of Gorton and Rouwenhorst (2006) out of sample ten years later; they essentially hold.
Cited in: Active or passive in bonds and commodities: why the rules differ from equities
Bhattacharya and Daouk (2002) · The World Price of Insider Trading
Bhattacharya, Utpal; Daouk, Hazem. The Journal of Finance 57 (1), pp. 75–108. doi:10.1111/1540-6261.00416
Of 103 countries with a stock market, 87 had insider trading laws but only 38 enforced them; the cost of equity fell only after the first prosecution.
Cited in: Insider trading: what is prohibited, what is allowed and what insider purchases reveal
Black (1972) · Capital Market Equilibrium with Restricted Borrowing
Black, Fischer. The Journal of Business 45 (3). doi:10.1086/295472
Presents the CAPM without risk-free borrowing (the zero-beta CAPM) and explains why the security market line can be flatter.
Cited in: Beta and alpha: how closely a fund moves with the market · CAPM: the capital asset pricing model and the security market line · Leverage in a portfolio: return, risk, costs and margin calls · The low-volatility anomaly and betting against beta · Glossary: Security market line · Glossary: Zero-beta CAPM
Black and Scholes (1973) · The Pricing of Options and Corporate Liabilities
Black, Fischer; Scholes, Myron. Journal of Political Economy 81 (3), pp. 637–654. doi:10.1086/260062
The Black-Scholes formula for option prices; the basis of implied volatility.
Cited in: VIX: how to read the stock market's fear gauge · Option pricing: where fair option prices come from · Glossary: Option · Glossary: Black-Scholes model · Glossary: Implied volatility
Black (1976) · The pricing of commodity contracts
Black, Fischer. Journal of Financial Economics 3 (1-2), pp. 167–179. doi:10.1016/0304-405X(76)90024-6
Valuation of forward and futures contracts and of options on them (the Black-76 model).
Cited in: Option pricing: where fair option prices come from · Option pricer: how Portfolio Lab values options · Glossary: Black-76 model
Black and Jones (1987) · Simplifying portfolio insurance
Black, Fischer; Jones, Robert W.. The Journal of Portfolio Management 14 (1), pp. 48–51. doi:10.3905/jpm.1987.409131
Introduces the CPPI rule: an equity exposure equal to a fixed multiple of the cushion above a floor.
Cited in: CPPI: portfolio insurance with cushion, floor and multiplier · CPPI backtest: methodology · Glossary: CPPI
Black and Perold (1992) · Theory of constant proportion portfolio insurance
Black, Fischer; Perold, André F.. Journal of Economic Dynamics and Control 16 (3-4), pp. 403–426. doi:10.1016/0165-1889(92)90043-E
Mathematical theory of CPPI: how the strategy's value and cushion evolve and what properties it has.
Cited in: CPPI: portfolio insurance with cushion, floor and multiplier · CPPI backtest: methodology · Glossary: CPPI
Black and Litterman (1992) · Global Portfolio Optimization
Black, Fischer; Litterman, Robert. Financial Analysts Journal 48 (5), pp. 28–43. doi:10.2469/faj.v48.n5.28
The Black-Litterman model: market equilibrium as the starting point, with the investor's own views blended in by Bayesian methods according to the confidence placed in them.
Cited in: Black-Litterman: incorporating your own views cleanly · Michaud resampled optimization: more stable portfolio weights through simulation · Optimization methodology: estimation, objectives, Black-Litterman, resampling and walk-forward · Glossary: Bayesian statistics
Blake et al. (1993) · The Performance of Bond Mutual Funds
Blake, Christopher R.; Elton, Edwin J.; Gruber, Martin J.. The Journal of Business 66 (3). doi:10.1086/296609
US bond funds lag appropriate indices after costs; one percentage point more in costs reduces returns by about one percentage point, and past results do not predict future ones.
Cited in: Active or passive in bonds and commodities: why the rules differ from equities
Blanc-Brude and Hasan (2016) · A Structural Model of Credit Risk for Illiquid Debt
Blanc-Brude, Frédéric; Hasan, Majid. The Journal of Fixed Income 26 (1), pp. 6–19. doi:10.3905/jfi.2016.26.1.006
Structural credit risk model for illiquid debt without a price history: the path of the debt service coverage ratio, the repayment schedule and the covenants are enough to estimate the default risk of project finance.
Cited in: Infrastructure investing: equity and debt, revenue models, valuation and research · Glossary: Project finance · Glossary: Debt service coverage ratio (DSCR)
Blanc-Brude et al. (2017) · Searching for a listed infrastructure asset class using mean–variance spanning
Blanc-Brude, Frédéric; Whittaker, Timothy; Wilde, Simon. Financial Markets and Portfolio Management 31 (2), pp. 137–179. doi:10.1007/s11408-017-0286-z
Defined by sector, listed infrastructure stocks do not form a separate asset class and do not improve existing portfolios; a definition based on business model reveals a different profile.
Cited in: Infrastructure investing: equity and debt, revenue models, valuation and research
Blanc-Brude et al. (2018) · Calibrating Credit Risk Dynamics in Private Infrastructure Debt
Blanc-Brude, Frédéric; Hasan, Majid; Whittaker, Timothy. The Journal of Fixed Income 27 (4), pp. 54–71. doi:10.3905/jfi.2018.27.4.054
Calibrates the dynamics of the debt service coverage ratio with Bayesian methods on cash flows from 267 European infrastructure projects over 17 years; rating agency models give a biased estimate of the credit risk of private debt.
Cited in: Infrastructure investing: equity and debt, revenue models, valuation and research · Glossary: Debt service coverage ratio (DSCR)
Blanchard and Watson (1982) · Bubbles, Rational Expectations and Financial Markets
Blanchard, Olivier J.; Watson, Mark W.. National Bureau of Economic Research, Working Paper 945. doi:10.3386/w0945
Rational bubbles: bubbles, runaway prices and crashes can be consistent with rational behavior, but they are hard to detect statistically.
Cited in: Speculative bubbles: what they are and how the LPPLS model detects them · Glossary: Rational bubble
Blitz et al. (2012) · The Performance of European Index Funds and Exchange-Traded Funds
Blitz, David; Huij, Joop; Swinkels, Laurens. European Financial Management 18 (4), pp. 649–662. doi:10.1111/j.1468-036x.2010.00550.x
European index funds and ETFs lag their indices by 50 to 150 basis points a year; withholding tax on dividends explains this at least as well as costs do.
Cited in: Index providers and valuation points: why the same index is calculated differently
Block et al. (2024) · A Survey of Private Debt Funds
Block, Joern; Jang, Young Soo; Kaplan, Steven N.; Schulze, Anna. The Review of Corporate Finance Studies 13 (2), pp. 335–383. doi:10.1093/rcfs/cfae001
A survey of private debt funds in the US and Europe: how they select loans, negotiate covenants, use leverage and work with private equity sponsors.
Cited in: Private credit and public credit compared: returns, risks and what the research shows · Private debt in practice: direct lending, unitranche, mezzanine, loan structure and fund vehicles · Glossary: Direct lending · Glossary: Covenant
Bloomberg Methodology (2026) · Bloomberg Fixed Income Index Methodology
Bloomberg Index Services Limited. Bloomberg, January 8, 2026; accessed October 25, 2026. Source
Common rules of the Bloomberg bond indices: minimum issue size, the middle of three ratings, remaining maturity of at least one year and monthly rebalancing.
Cited in: Active or passive in bonds and commodities: why the rules differ from equities · Index providers and valuation points: why the same index is calculated differently · Glossary: Bums problem
BCOM methodology (2026) · Bloomberg Commodity Index Methodology
Bloomberg Index Services Limited. Bloomberg, February 2026; accessed October 25, 2026. Source
Rules of the Bloomberg Commodity Index: liquidity and production in a 2:1 ratio, caps and floors per commodity and group, rolling from the 6th to the 10th business day, total return with US Treasury bills.
Cited in: Active or passive in bonds and commodities: why the rules differ from equities · Glossary: Collateral yield
Blume and Edelen (2004) · S&P 500 Indexers, Tracking Error, and Liquidity
Blume, Marshall E.; Edelen, Roger M.. The Journal of Portfolio Management 30 (3), pp. 37–46. doi:10.3905/jpm.2004.412317
S&P 500 funds could gain return by trading early after announcements, but to keep tracking error small they trade at the closing price, often through arrangements with liquidity providers.
Cited in: Smart indexing: added value for index funds around corporate actions and index changes
Federal Reserve (2026) · Federal Reserve Board's annual bank stress test confirms that large banks are well positioned to weather a severe recession (press release)
Board of Governors of the Federal Reserve System. Federal Reserve Board, June 24, 2026; accessed October 25, 2026. Source
2026 stress test of 32 large banks: a severe global recession with unemployment of up to 10%, house prices down 30% and commercial real estate down 39%; losses of more than $708 billion and an aggregate capital ratio decline of 1.6 percentage points.
Bodie et al. (1992) · Labor supply flexibility and portfolio choice in a life cycle model
Bodie, Zvi; Merton, Robert C.; Samuelson, William F.. Journal of Economic Dynamics and Control 16 (3-4), pp. 427–449. doi:10.1016/0165-1889(92)90044-f
Life cycle: people who can flexibly work longer can hold more equities when young.
Cited in: Equity allocation by age: rules of thumb, glide paths and what theory says · Your whole wealth: total wealth from portfolio, home, human capital and car · Financial goals methodology: how Portfolio Lab simulates a life plan · Glossary: Life-cycle model · Glossary: Human capital
Boehmer et al. (1991) · Event-study methodology under conditions of event-induced variance
Boehmer, Ekkehart; Musumeci, Jim; Poulsen, Annette B.. Journal of Financial Economics 30 (2), pp. 253–272. doi:10.1016/0304-405X(91)90032-F
If the event raises variance, the usual tests reject too often; a standardized cross-sectional test (BMP test) fixes this without any loss of power.
Cited in: Event studies: how to measure and test price reactions to events
Boehmer et al. (2008) · Which Shorts Are Informed?
Boehmer, Ekkehart; Jones, Charles M.; Zhang, Xiaoyan. The Journal of Finance 63 (2), pp. 491–527. doi:10.1111/j.1540-6261.2008.01324.x
NYSE order data 2000 to 2004: heavily shorted stocks perform significantly worse over the following 20 trading days than lightly shorted ones, and institutional short sales outside program trading are the most informative.
Cited in: Short selling, hedge funds and hedging: types and how they work
Bogle (2007) · The Little Book of Common Sense Investing
Bogle, John C.. Wiley.
A case for low-cost, broad index funds: costs determine the returns investors actually earn.
Cited in: Legendary investors: the investment styles of the most famous investors, from Graham to Simons · Glossary: Index fund
Bogousslavsky and Muravyev (2021) · Who Trades at the Close? Implications for Price Discovery, Liquidity, and Disagreement
Bogousslavsky, Vincent; Muravyev, Dmitriy. Preliminary version for the 2021 Annual Meeting of the American Economic Association; revised version published in the Journal of Financial Markets 66 (2023). Source
In 2018 the closing auction already accounted for 7.5% of daily volume in US stocks, up from 3.1% in 2010; index funds and ETFs pull trading toward the close, and deviations in closing prices subsequently reverse.
Cited in: Order types and execution: from limit orders to MOC, VWAP, TAS and BTIC · Glossary: Closing auction
Böhme and Holz (2006) · The Effect of Stock Spam on Financial Markets
Böhme, Rainer; Holz, Thorsten. SSRN Working Paper 897431. doi:10.2139/ssrn.897431
Links incoming stock spam emails with market data and finds marked short-term reactions in trading volume and price.
Cited in: Pump and dump and penny stocks: how the scam works
Bollen et al. (2011) · Twitter mood predicts the stock market
Bollen, Johan; Mao, Huina; Zeng, Xiaojun. Journal of Computational Science 2 (1), pp. 1–8. doi:10.1016/j.jocs.2010.12.007
Mood measures from Twitter posts in 2008; individual mood dimensions are said to have predicted the daily direction of the Dow Jones considerably better.
Cited in: Alternative data: job ads, Reddit, X, satellites and card payments
Bollerslev (1986) · Generalized autoregressive conditional heteroskedasticity
Bollerslev, Tim. Journal of Econometrics 31 (3), pp. 307–327. doi:10.1016/0304-4076(86)90063-1
Generalizes ARCH to GARCH, today the standard model for time-varying volatility.
Cited in: Volatility: how much a portfolio fluctuates · Skewness and kurtosis: why market crashes are more frequent than the normal distribution says · VIX: how to read the stock market's fear gauge · Return forecasting models: ARIMA, GARCH, LSTM and machine learning · Glossary: GARCH model
Bollerslev et al. (2009) · Expected Stock Returns and Variance Risk Premia
Bollerslev, Tim; Tauchen, George; Zhou, Hao. Review of Financial Studies 22 (11), pp. 4463–4492. doi:10.1093/rfs/hhp008
The variance risk premium predicts stock returns over horizons of a few months.
Cited in: VIX: how to read the stock market's fear gauge · Volatility dashboard: methodology · Glossary: Variance risk premium
Bolton and Kacperczyk (2021) · Do investors care about carbon risk?
Bolton, Patrick; Kacperczyk, Marcin. Journal of Financial Economics 142 (2), pp. 517–549. doi:10.1016/j.jfineco.2021.05.008
US stocks of companies with higher CO₂ emissions earned higher returns, even after controlling for known factors, which the authors interpret as a premium for carbon risk.
Cited in: ESG ETFs: index rules, ratings, returns and the limits of sustainable funds
Bond (2019) · T. Rowe Price: The Man, the Company, and the Investment Philosophy
Bond, Cornelius C.. Wiley.
A biography of Thomas Rowe Price Jr., who founded his firm in 1937 and set out to buy growth stocks early and hold them for a long time.
Cited in: Legendary investors: the investment styles of the most famous investors, from Graham to Simons
Bondarenko (2014) · Why Are Put Options So Expensive?
Bondarenko, Oleg. Quarterly Journal of Finance 4 (3), pp. 1450015. doi:10.1142/s2010139214500153
The puzzle of overpriced puts: historical prices of S&P 500 puts were inconsistent with standard equilibrium models, and a model-free method shows that no model from a broad class can explain them.
Cited in: Tail hedging: what put protection costs, when it pays off and what short-vol strategies teach
Böni and Manigart (2022) · Private Debt Fund Returns, Persistence, and Market Conditions
Böni, Pascal; Manigart, Sophie. Financial Analysts Journal 78 (4), pp. 121–144. doi:10.1080/0015198x.2022.2092384
Net-of-fee returns of private debt funds: above bond and equity benchmarks but widely dispersed, with persistence at manager level and dependent on credit market conditions.
Cited in: Private credit and public credit compared: returns, risks and what the research shows · Private debt in practice: direct lending, unitranche, mezzanine, loan structure and fund vehicles
Booth and Fama (1992) · Diversification Returns and Asset Contributions
Booth, David G.; Fama, Eugene F.. Financial Analysts Journal 48 (3), pp. 26–32. doi:10.2469/faj.v48.n3.26
Explains the diversification return: the geometric return of a portfolio exceeds the average of the individual geometric returns.
Cited in: CAGR: how to calculate the average annual return correctly · Compound interest: how returns on returns make wealth grow · Rebalancing: getting your portfolio back on course · Volatility drag: why volatility costs you return · Beyond Markowitz: estimation error, noise and true diversification · Overfitting check and diversification return: the calculations in Backtest and Tactical · Glossary: Rebalancing bonus · Glossary: Volatility drag
Bouchaud et al. (2018) · Trades, Quotes and Prices: Financial Markets under the Microscope
Bouchaud, Jean-Philippe; Bonart, Julius; Donier, Jonathan; Gould, Martin. Cambridge University Press.
Textbook on order books, order flow and market impact, including the square-root law of market impact for large orders.
Cited in: Order types and execution: from limit orders to MOC, VWAP, TAS and BTIC
Bouchey et al. (2012) · Volatility Harvesting: Why Does Diversifying and Rebalancing Create Portfolio Growth?
Bouchey, Paul; Nemtchinov, Vassilii; Paulsen, Alex; Stein, David M.. The Journal of Wealth Management 15 (2), pp. 26–35. doi:10.3905/jwm.2012.15.2.026
Volatility harvesting: extra growth from diversifying and systematically rebalancing volatile, imperfectly correlated assets, but no higher arithmetic return.
Cited in: Overfitting check and diversification return: the calculations in Backtest and Tactical · Glossary: Volatility harvesting
Boudoukh et al. (2008) · The Myth of Long-Horizon Predictability
Boudoukh, Jacob; Richardson, Matthew; Whitelaw, Robert F.. Review of Financial Studies 21 (4), pp. 1577–1605. doi:10.1093/rfs/hhl042
Warns against regressions with overlapping periods: the apparently high predictive power at long horizons is partly an artifact.
Cited in: Shiller P/E (CAPE): how expensive is the stock market? · Valuation with the Shiller P/E: methodology · Glossary: Overlapping periods
Bouman and Jacobsen (2002) · The Halloween Indicator, “Sell in May and Go Away”: Another Puzzle
Bouman, Sven; Jacobsen, Ben. American Economic Review 92 (5), pp. 1618–1635. doi:10.1257/000282802762024683
Returns from November to April exceed those from May to October in 36 of 37 stock markets, in the UK since 1694; tested with a regression on a dummy variable for the winter half-year.
Cited in: Stock market seasonality: Sell in May, the January effect and how to test calendar effects · Glossary: Halloween effect
Box and Jenkins (1970) · Time Series Analysis: Forecasting and Control
Box, George E. P.; Jenkins, Gwilym M.. Holden-Day. Source
Introduces the Box-Jenkins method for ARIMA models: identify, estimate, check the residuals, forecast.
Cited in: Return forecasting models: ARIMA, GARCH, LSTM and machine learning · Glossary: ARIMA model
Boyle (1977) · Options: A Monte Carlo approach
Boyle, Phelim P.. Journal of Financial Economics 4 (3), pp. 323–338. doi:10.1016/0304-405x(77)90005-8
First application of Monte Carlo simulation in finance (option pricing).
Cited in: Monte Carlo simulation: how safe is your plan? · Monte Carlo methodology: how Portfolio Lab simulates wealth paths · Option pricer: how Portfolio Lab values options
Bradley et al. (2024) · Place Your Bets? The Value of Investment Research on Reddit’s Wallstreetbets
Bradley, Daniel; Hanousek, Jan; Jame, Russell; Xiao, Zicheng. The Review of Financial Studies 37 (5), pp. 1409–1459. doi:10.1093/rfs/hhad098
In-depth recommendations on WallStreetBets predicted returns and cash flow news before the GameStop squeeze but no longer did so afterward, while posts about price pressure and attention increased.
Cited in: Alternative data: job ads, Reddit, X, satellites and card payments
Braun et al. (2024) · In Pursuit of Trend-Following Beta: The Promise and Pitfalls of Replication
Braun, Steven; Hoffstein, Corey; Jablecki, Juliusz. SSRN Working Paper. doi:10.2139/ssrn.4990063
Tests whether an index of trend-following funds can be replicated: in principle yes, but simple regressions bring their own tracking risk, a trade-off between fee savings and forgone skill.
Cited in: CTAs and managed futures: industry, position sizing, costs and crisis protection
Brav et al. (2008) · Hedge Fund Activism, Corporate Governance, and Firm Performance
Brav, Alon; Jiang, Wei; Partnoy, Frank; Thomas, Randall. The Journal of Finance 63 (4), pp. 1729–1775. doi:10.1111/j.1540-6261.2008.01373.x
Activist hedge funds in the US from 2001 to 2006: success or partial success in two thirds of cases, an abnormal return of about 7% around the announcement with no subsequent reversal, followed by higher payouts and more frequent CEO turnover.
Cited in: Legendary investors: the investment styles of the most famous investors, from Graham to Simons · Glossary: Schedule 13D · Glossary: Activist investor
Brée and Joseph (2013) · Testing for financial crashes using the Log Periodic Power Law model
Brée, David S.; Joseph, Nathan Lael. International Review of Financial Analysis 30, pp. 287–297. doi:10.1016/j.irfa.2013.05.005
Tests the model on eleven crashes in the Hang Seng from 1970 to 2008: the parameters fall only partly within the usual ranges, and the mechanism is not confirmed.
Cited in: Speculative bubbles: what they are and how the LPPLS model detects them
Breeden and Litzenberger (1978) · Prices of State-Contingent Claims Implicit in Option Prices
Breeden, Douglas T.; Litzenberger, Robert H.. The Journal of Business 51 (4). doi:10.1086/296025
The price of a claim that pays $1 if a portfolio lies between two values on a future date follows from the second derivative of the call price function, which is the basis of risk-neutral densities from option prices.
Cited in: Market expectations: what the yield curve, inflation-linked bonds and options reveal about the future · Glossary: Risk-neutral probability
Brennan and Schwartz (1988) · Time-Invariant Portfolio Insurance Strategies
Brennan, Michael J.; Schwartz, Eduardo S.. The Journal of Finance 43 (2), pp. 283–299. doi:10.1111/j.1540-6261.1988.tb03939.x
Describes the entire class of time-invariant insurance strategies, which need no fixed end date.
Cited in: CPPI: portfolio insurance with cushion, floor and multiplier
Brennan and Schwartz (1989) · Portfolio Insurance and Financial Market Equilibrium
Brennan, Michael J.; Schwartz, Eduardo S.. The Journal of Business 62 (4). doi:10.1086/296472
Equilibrium model with an insured investor: how the risk premium, the cost of insurance, market volatility and interest rates depend on the share of insurance.
Cited in: CPPI: portfolio insurance with cushion, floor and multiplier
Breuer et al. (2009) · How to Find Plausible, Severe, and Useful Stress Scenarios
Breuer, Thomas; Jandačka, Martin; Rheinberger, Klaus; Summer, Martin. International Journal of Central Banking 5 (3), pp. 205–224. Source
Measures the plausibility of a scenario with the Mahalanobis distance and systematically searches the plausible region for the scenario with the largest loss; setting unstressed factors to their conditional expected value maximizes plausibility.
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: Conditional expectation · Glossary: Mahalanobis distance
Brigo et al. (2013) · Counterparty Credit Risk, Collateral and Funding: With Pricing Cases for All Asset Classes
Brigo, Damiano; Morini, Massimo; Pallavicini, Andrea. Wiley.
Valuation of counterparty risk with collateral and funding costs, with case studies for all asset classes, including wrong-way risk.
Cited in: Counterparty and issuer risk: CVA, ETCs, certificates and swaps
Brinson and Fachler (1985) · Measuring non-US. equity portfolio performance
Brinson, Gary P.; Fachler, Nimrod. The Journal of Portfolio Management 11 (3), pp. 73–76. doi:10.3905/jpm.1985.409005
Measures non-US equity portfolios against country indices and separates country allocation from stock selection; the Brinson-Fachler variant of attribution goes back to this paper.
Cited in: Multi-asset attribution: weighting schemes, top-down and bottom-up, currencies and overlays · Performance attribution: Brinson decomposition, factors and linking over time · Risk & attribution: methodology of risk decomposition and Brinson attribution · Glossary: Brinson attribution · Glossary: Allocation effect
Brinson et al. (1986) · Determinants of Portfolio Performance
Brinson, Gary P.; Hood, L. Randolph; Beebower, Gilbert L.. Financial Analysts Journal 42 (4), pp. 39–44. doi:10.2469/faj.v42.n4.39
Breaks pension fund returns down into investment policy, market timing and security selection; the strategic allocation explains most of the variation over time.
Cited in: 60/40 portfolio: the classic mix of equities and bonds · Portfolio reporting: how to report return, risk, attribution and costs properly · Strategic and tactical asset allocation and the total portfolio approach · Multi-asset attribution: weighting schemes, top-down and bottom-up, currencies and overlays · Performance attribution: Brinson decomposition, factors and linking over time · Sharpe's style analysis: what a fund really does · Risk & attribution: methodology of risk decomposition and Brinson attribution · Glossary: Policy portfolio · Glossary: Brinson attribution · Glossary: Selection effect · Glossary: Interaction effect · Glossary: Strategic asset allocation
Brixton et al. (2023) · A Changing Stock–Bond Correlation: Drivers and Implications
Brixton, Alfie; Brooks, Jordan; Hecht, Pete; Ilmanen, Antti; Maloney, Thomas; McQuinn, Nicholas. The Journal of Portfolio Management 49 (4), pp. 64–80. doi:10.3905/jpm.2023.1.459
The correlation between stocks and bonds was negative in the first two decades of the 21st century and often positive in the century before; greater inflation uncertainty can turn it positive again.
Cited in: Leveraged ETFs and return stacking: how they work, long holding periods, costs and research · Stock-bond correlation: regimes, drivers and what it means for 60/40, risk parity and hedging
Broadie et al. (1997) · A Continuity Correction for Discrete Barrier Options
Broadie, Mark; Glasserman, Paul; Kou, Steven. Mathematical Finance 7 (4), pp. 325–349. doi:10.1111/1467-9965.00035
Discretely monitored barrier options can be valued with continuous-time formulas if the barrier is shifted by exp(0.5826 σ √Δt).
Cited in: Option pricing: where fair option prices come from · Option pricer: how Portfolio Lab values options · Glossary: Barrier option
Brock et al. (1992) · Simple Technical Trading Rules and the Stochastic Properties of Stock Returns
Brock, William; Lakonishok, Josef; LeBaron, Blake. The Journal of Finance 47 (5), pp. 1731–1764. doi:10.1111/j.1540-6261.1992.tb04681.x
Moving averages and trading range breakouts on the Dow Jones in 1897–1986, tested against random models with the bootstrap.
Cited in: Technical analysis, chart patterns and candlesticks from a quant perspective
Brooks et al. (2020) · Active Fixed Income Illusions
Brooks, Jordan; Gould, Tony; Richardson, Scott. The Journal of Fixed Income 29 (4), pp. 5–19. doi:10.3905/jfi.2020.1.086
The active returns of bond funds are largely explained by passive exposures to traditional risk premiums, above all credit risk; little genuine alpha remains.
Cited in: Active or passive in bonds and commodities: why the rules differ from equities · Glossary: Credit beta
Brown and Warner (1980) · Measuring security price performance
Brown, Stephen J.; Warner, Jerold B.. Journal of Financial Economics 8 (3), pp. 205–258. doi:10.1016/0304-405X(80)90002-1
Simulates event studies with monthly data: simple methods for the normal return perform hardly worse than sophisticated ones.
Cited in: Event studies: how to measure and test price reactions to events
Brown and Warner (1985) · Using daily stock returns: The case of event studies
Brown, Stephen J.; Warner, Jerold B.. Journal of Financial Economics 14 (1), pp. 3–31. doi:10.1016/0304-405X(85)90042-X
Simulation with 250 samples of 50 stocks each: with daily data the market model is well specified, but if variance rises on the event day, the usual tests reject too often.
Cited in: Event studies: how to measure and test price reactions to events
Brown et al. (1992) · Survivorship Bias in Performance Studies
Brown, Stephen J.; Goetzmann, William; Ibbotson, Roger G.; Ross, Stephen A.. Review of Financial Studies 5 (4), pp. 553–580. doi:10.1093/rfs/5.4.553
Shows how survivorship bias distorts performance studies and creates apparent persistence.
Cited in: Active or passive investing: ETFs versus fund managers · How to backtest an ETF portfolio: a guide to portfolio backtesting · Legendary investors: the investment styles of the most famous investors, from Graham to Simons · Thematic ETFs and hype: what studies, costs and overlaps reveal · Portfolio reporting: how to report return, risk, attribution and costs properly · Stock picking: why individual stocks are so hard to get right · Backtest overfitting: when the past looks too good · Backtest methodology: data, process, rebalancing and costs · Asset classes with a long history: methodology · Data checks: loading, preparing and checking price series · Glossary: Fund closure · Glossary: Survivorship bias
Bruck (1988) · The Predators’ Ball: The Junk-Bond Raiders and the Man Who Staked Them
Bruck, Connie. Simon and Schuster.
Michael Milken and Drexel Burnham Lambert: how high-yield bonds financed takeovers in the 1980s.
Cited in: Legendary investors: the investment styles of the most famous investors, from Graham to Simons
Brunnermeier et al. (2008) · Carry Trades and Currency Crashes
Brunnermeier, Markus K.; Nagel, Stefan; Pedersen, Lasse H.. NBER Macroeconomics Annual 23 (1), pp. 313–348. doi:10.1086/593088
Carry trades carry crash risk: exchange rate moves between high- and low-interest currencies are negatively skewed, and losses arise from sudden unwinding when risk appetite and funding liquidity fall.
Cited in: Carry trade: earning interest with currencies and bonds · Carry backtest: methodology for FX and bond carry · Glossary: Carry trade · Glossary: Carry crash
Brunnermeier and Pedersen (2009) · Market Liquidity and Funding Liquidity
Brunnermeier, Markus K.; Pedersen, Lasse Heje. Review of Financial Studies 22 (6), pp. 2201–2238. doi:10.1093/rfs/hhn098
A model in which market liquidity and traders' funding (capital and margins) depend on each other: margins can be destabilizing and trigger liquidity spirals.
Cited in: Leverage in a portfolio: return, risk, costs and margin calls · Basis trades: positive and negative basis in bonds, CDS and futures · Liquidity risk: measuring market liquidity, liquidity premiums and the tools of open-ended funds · Backtest methodology: data, process, rebalancing and costs · Glossary: Margin call · Glossary: Deleveraging
Bucher-Koenen et al. (2023) · Financial literacy, stock market participation, and financial wellbeing in Germany
Bucher-Koenen, Tabea; Janssen, Bennet; Knebel, Caroline; Tzamourani, Panagiota. Journal of Financial Literacy and Wellbeing 1 (3), pp. 486–513. doi:10.1017/flw.2024.5
Bundesbank PHF survey 2021: 81.0% answer the interest question, 88.3% the inflation question and 77.1% the diversification question correctly, 61.8% all three; among stockholders 76.5%, otherwise 57.4%.
Cited in: Glossary: Financial literacy
Buchner et al. (2010) · Modeling the Cash Flow Dynamics of Private Equity Funds: Theory and Empirical Evidence
Buchner, Axel; Kaserer, Christoph; Wagner, Niklas. The Journal of Alternative Investments 13 (1), pp. 41–54. doi:10.3905/jai.2010.13.1.041
Continuous-time stochastic model of private equity fund cash flows: the contribution rate as a mean-reverting square-root process and distributions as Brownian motion with time-dependent drift, calibrated to European funds.
Cited in: Takahashi-Alexander model: forecasting the cash flows of private markets funds
Budish et al. (2015) · The High-Frequency Trading Arms Race: Frequent Batch Auctions as a Market Design Response
Budish, Eric; Cramton, Peter; Shim, John. The Quarterly Journal of Economics 130 (4), pp. 1547–1621. doi:10.1093/qje/qjv027
In the continuous limit order book, correlations break down at the shortest time scales; this creates mechanical arbitrage rents and an arms race for speed. Proposal: frequent batch auctions, for example every tenth of a second.
Cited in: Glossary: Latency arbitrage
Buffett (2014) · Berkshire Hathaway Inc.: Letter to Shareholders 2013 (letter dated February 28, 2014)
Buffett, Warren E.. Berkshire Hathaway Inc., Omaha; accessed October 25, 2026. Source
Contains Buffett's advice to the trustee for his wife's inheritance: 10% in short-term government bonds and 90% in a very low-cost S&P 500 index fund.
Cited in: Legendary investors: the investment styles of the most famous investors, from Graham to Simons
Buffett (2024) · Berkshire Hathaway Inc.: Letter to Shareholders 2023 (letter dated February 24, 2024)
Buffett, Warren E.. Berkshire Hathaway Inc., Omaha; accessed October 25, 2026. Source
A tribute to Charlie Munger, who died on November 28, 2023, as the architect of today's Berkshire, who advised Buffett in 1965 to buy wonderful businesses at fair prices instead of mediocre ones at bargain prices.
Cited in: Legendary investors: the investment styles of the most famous investors, from Graham to Simons
Bun et al. (2017) · Cleaning large correlation matrices: Tools from Random Matrix Theory
Bun, Joël; Bouchaud, Jean-Philippe; Potters, Marc. Physics Reports 666, pp. 1–109. doi:10.1016/j.physrep.2016.10.005
Review of how large correlation matrices can be estimated and cleaned with methods from random matrix theory; in the authors' financial market applications, rotationally invariant estimators outperformed all previously proposed methods.
Cited in: Beyond Markowitz: estimation error, noise and true diversification · Glossary: Random matrix theory
BaFin (2026) · Advisory and trading systems: robo-advice (Themenseite FinTech)
Bundesanstalt für Finanzdienstleistungsaufsicht. BaFin, englische Fassung; abgerufen am 31.10.2026. Source
Depending on its design, robo-advice is investment advice or portfolio management requiring a license under the German Banking Act or the Investment Firm Act; automated portfolio management needs BaFin authorization.
Cited in: Glossary: Robo-advisor
Burnside et al. (2011) · Do Peso Problems Explain the Returns to the Carry Trade?
Burnside, Craig; Eichenbaum, Martin; Kleshchelski, Isaac; Rebelo, Sergio. Review of Financial Studies 24 (3), pp. 853–891. doi:10.1093/rfs/hhq138
Carry returns are large on average and barely correlated with classic risk factors; the authors explain them with a peso problem whose rare event falls mainly in times with a high discount factor.
Cited in: Carry trade: earning interest with currencies and bonds · Glossary: Peso problem
Burton and Jacobsen (1999) · Measuring Returns on Investments in Collectibles
Burton, Benjamin J.; Jacobsen, Joyce P.. Journal of Economic Perspectives 13 (4), pp. 193–212. doi:10.1257/jep.13.4.193
Review of price indices and return studies for collectibles: mostly positive real returns, but more risk and less return than equities.
Cited in: Collectibles as an investment: what art, wine, watches and classic cars really return
Busch et al. (2022) · Corporate carbon performance data: Quo vadis?
Busch, Timo; Johnson, Matthew; Pioch, Thomas. Journal of Industrial Ecology 26 (1), pp. 350–363. doi:10.1111/jiec.13008
Compares CO2 data from several providers: direct emissions agree more closely than indirect ones (particularly poorly for Scope 3), and estimates agree less than figures taken from company reports.
Cited in: ESG methodology: sustainability in the look-through
Busse et al. (2010) · Performance and Persistence in Institutional Investment Management
Busse, Jeffrey A.; Goyal, Amit; Wahal, Sunil. The Journal of Finance 65 (2), pp. 765–790. doi:10.1111/j.1540-6261.2009.01550.x
Based on 4,617 active institutional US equity products from 1991 to 2008: factor-adjusted alphas are on average not different from zero, with little persistence.
Cited in: RFP and mandate awards: how institutional investors select asset managers
Butler et al. (2012) · Adaptive Asset Allocation: A Primer
Butler, Adam; Philbrick, Mike; Gordillo, Rodrigo. SSRN. doi:10.2139/ssrn.2328254
Adaptive asset allocation: momentum selection combined with minimum variance weighting.
Cited in: Tactical allocation: momentum, dual momentum and trend following · Tactical allocation methodology: how the eleven tactical models work
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