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    • All HBS Web  (226)
      • Faculty Publications  (23)

      Portfolio OptimizationRemove Portfolio Optimization →

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      • November 2024 (Revised January 2025)
      • Case

      Balancing Impact: Modeling the Future at British International Investment

      By: Shawn Cole and Jonah Zahnd
      In 2022, British International Investment (BII), the £8.1 billion development finance arm of the British government, implemented a new impact measurement system called the Impact Score to align its financial and impact objectives systematically. The tool was designed... View Details
      Keywords: Investment Portfolio; Measurement and Metrics; Corporate Social Responsibility and Impact; Alignment; United Kingdom
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      Cole, Shawn, and Jonah Zahnd. "Balancing Impact: Modeling the Future at British International Investment." Harvard Business School Case 225-047, November 2024. (Revised January 2025.)
      • 2023
      • Working Paper

      Interest-Rate Risk and Household Portfolios

      By: Sylvain Catherine, Max Miller, James Paron and Natasha Sarin
      How are households exposed to interest-rate risk? When rates fall, households face lower future expected returns but those holding long-term assets—disproportionately the wealthy and middle-aged—experience capital gains. We study the hedging demand for long-term assets... View Details
      Keywords: Portfolio Choice; Social Security; Interest Rates; Investment Portfolio; Equality and Inequality; Welfare
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      Catherine, Sylvain, Max Miller, James Paron, and Natasha Sarin. "Interest-Rate Risk and Household Portfolios." Working Paper, October 2023. (Reject and Resubmit, American Economic Review.)
      • July 2021 (Revised December 2021)
      • Case

      Pershing Square's Pandemic Trade (A)

      By: Emil N. Siriwardane, Luis M. Viceira, Dean Xu and Lucas Baker
      This case explores the decision that Bill Ackman, CEO and founder of the hedge fund Pershing Square Capital, was considering in late February 2020 about hedging the exposure of the fund’s portfolio from the potential financial fallout ensuing from an extreme event like... View Details
      Keywords: Health Pandemics; Financial Liquidity; Cost Management; Decision Choices and Conditions; Risk Management
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      Siriwardane, Emil N., Luis M. Viceira, Dean Xu, and Lucas Baker. "Pershing Square's Pandemic Trade (A)." Harvard Business School Case 222-007, July 2021. (Revised December 2021.)
      • May 2021
      • Article

      Preparing for a Pandemic: Accelerating Vaccine Availability

      By: Amrita Ahuja, Susan Athey, Arthur Baker, Eric Budish, Juan Camilo Castillo, Rachel Glennerster, Scott Duke Kominers, Michael Kremer, Jean Lee, Canice Prendergast, Christopher M. Snyder, Alex Tabarrok, Brandon Joel Tan and Witold Wiecek
      Vaccinating the world’s population quickly in a pandemic has enormous health and economic benefits. We analyze the problem faced by governments in determining the scale and structure of procurement for vaccines. We analyze alternative approaches to procurement, arguing... View Details
      Keywords: Vaccines; Procurement; Health Pandemics; Health Care and Treatment; Acquisition; Cooperation
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      Ahuja, Amrita, Susan Athey, Arthur Baker, Eric Budish, Juan Camilo Castillo, Rachel Glennerster, Scott Duke Kominers, Michael Kremer, Jean Lee, Canice Prendergast, Christopher M. Snyder, Alex Tabarrok, Brandon Joel Tan, and Witold Wiecek. "Preparing for a Pandemic: Accelerating Vaccine Availability." AEA Papers and Proceedings 111 (May 2021): 331–335.
      • 2020
      • Working Paper

      Best Ideas

      By: Miguel Antón, Randolph B. Cohen and Christopher Polk
      We find that the stocks in which active mutual fund or hedge fund managers display the most conviction towards ex-ante, their “Best ideas,” outperform the market, as well as the other stocks in those managers’ portfolios, by approximately 2.8 to 4.5 percent per year,... View Details
      Keywords: Mutual Funds; Managerial Skill; Market Efficiency; Investment Funds; Management; Investment Portfolio; Decision Making
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      Antón, Miguel, Randolph B. Cohen, and Christopher Polk. "Best Ideas." Harvard Business School Working Paper, No. 21-004, June 2020.
      • 2019
      • Working Paper

      Optimal Interventions for Increasing Healthy Food Consumption Among Low Income Households

      By: Retsef Levi, Elisabeth Paulson and Georgia Perakis
      The federal government currently spends over $100 billion per year on policies aimed to increase fruit and vegetable (FV) consumption among low income households. These include price-, nutrition education-, and access-related interventions. Currently, the government... View Details
      Keywords: Bi-level Optimization; Optimal Subsidies; Public Policy; Food Policy; Central Planner; Government Administration; Poverty; Food; Nutrition
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      Levi, Retsef, Elisabeth Paulson, and Georgia Perakis. "Optimal Interventions for Increasing Healthy Food Consumption Among Low Income Households." MIT Sloan Research Paper, No. 6053-19, November 2019.
      • December 2018
      • Case

      Corporate Transformation at Merck KGaA, Darmstadt, Germany

      By: Joseph B. Fuller, Amy C. Edmondson, Daniela Beyersdorfer and Tonia Labruyere
      When Stefan Oschmann became CEO and chairman of the executive board of Merck KGaA, Darmstadt, Germany, in 2016, the company had started its transformation from a mid-tier traditional German industry player to a global modern science and technology player. The... View Details
      Keywords: Corporate Governance With Family Ownership; Transformation; Change Management; Restructuring; Corporate Governance; Family Ownership
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      Fuller, Joseph B., Amy C. Edmondson, Daniela Beyersdorfer, and Tonia Labruyere. "Corporate Transformation at Merck KGaA, Darmstadt, Germany." Harvard Business School Case 319-072, December 2018.
      • 2018
      • Working Paper

      Detecting Anomalies: The Relevance and Power of Standard Asset Pricing Tests

      By: Malcolm Baker, Patrick Luo and Ryan Taliaferro
      The two standard approaches for identifying capital market anomalies are cross-sectional coefficient tests, in the spirit of Fama and MacBeth (1973), and time-series intercept tests, in the spirit of Jensen (1968). A new signal can pass the first test, which we label a... View Details
      Keywords: Investment Management; Anomalies; Portfolio Construction; Transaction Costs; Investment; Management; Asset Pricing; Market Transactions; Cost
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      Baker, Malcolm, Patrick Luo, and Ryan Taliaferro. "Detecting Anomalies: The Relevance and Power of Standard Asset Pricing Tests." Working Paper, July 2018.
      • Fourth Quarter 2017
      • Article

      Optimal Tilts: Combining Persistent Characteristic Portfolios

      By: Malcolm Baker, Ryan Taliaferro and Terry Burnham
      We examine the optimal weighting of four tilts in U.S. equity markets from 1968 through 2014. We define a “tilt” as a characteristic-based portfolio strategy that requires relatively low annual turnover. This is a continuum, with small size (a very persistent... View Details
      Keywords: Risk Anomaly; Beta; Capital Asset Pricing Model; Factor Investing
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      Baker, Malcolm, Ryan Taliaferro, and Terry Burnham. "Optimal Tilts: Combining Persistent Characteristic Portfolios." Financial Analysts Journal 73, no. 4 (Fourth Quarter 2017): 75–89.
      • Article

      What Do Private Equity Firms Say They Do?

      By: Paul A. Gompers, Steven N. Kaplan and Vladimir Mukharlyamov
      We survey 79 private equity investors with combined assets under management (AUM) of over $750 billion about their practices in firm valuation, capital structure, governance, and value creation. Investors rely primarily on internal rate of return (IRR) and multiples to... View Details
      Keywords: Private Equity; Valuation; Capital Structure; Value Creation
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      Gompers, Paul A., Steven N. Kaplan, and Vladimir Mukharlyamov. "What Do Private Equity Firms Say They Do?" Journal of Financial Economics 121, no. 3 (September 2016): 449–476.
      • August 2016 (Revised July 2017)
      • Background Note

      Brand Portfolio Strategy and Brand Architecture

      By: Jill Avery
      While companies choose to brand their products and services in many different ways, there are some central tenets that help define an optimal brand portfolio and associated brand architecture. Brand portfolio strategy involves the design, deployment, and management of... View Details
      Keywords: Brand Management; Brand Portfolio; Brand Extension; Brand Portfolio Strategy; Brand Architecture; Consumer Behavior; Marketing; Brands and Branding; Marketing Strategy
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      Avery, Jill. "Brand Portfolio Strategy and Brand Architecture." Harvard Business School Background Note 517-021, August 2016. (Revised July 2017.)
      • 2017
      • Working Paper

      Optimal Tilts: Combining Persistent Characteristic Portfolios

      By: Malcolm Baker, Ryan Taliaferro and Terry Burnham
      We examine the optimal weighting of four tilts in US equity markets from 1968 through 2014. We define a “tilt” as a characteristic-based portfolio strategy that requires relatively low annual turnover. This is a continuum, with small size, a very persistent... View Details
      Keywords: Risk Anomaly; Beta; Capital Asset Pricing Model; Factor Investing
      Citation
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      Baker, Malcolm, Ryan Taliaferro, and Terry Burnham. "Optimal Tilts: Combining Persistent Characteristic Portfolios." Working Paper, March 2017.
      • 2015
      • Working Paper

      What Do Private Equity Firms Say They Do?

      By: Paul A. Gompers, Steven N. Kaplan and Vladimir Mukharlyamov
      We survey 79 private equity investors with combined assets under management (AUM) of over $750 billion about their practices in firm valuation, capital structure, governance, and value creation. Investors rely primarily on internal rate of return (IRR) and multiples to... View Details
      Keywords: Governance; Value Creation; Private Equity; Capital Structure; Valuation; Management Practices and Processes
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      Gompers, Paul A., Steven N. Kaplan, and Vladimir Mukharlyamov. "What Do Private Equity Firms Say They Do?" Harvard Business School Working Paper, No. 15-081, April 2015.
      • January 2011
      • Case

      AIC Netbooks: Optimizing Product Assembly

      By: Steven C. Wheelwright and Sunru Yong
      AIC Systems, located in Taichung, Taiwan, is a manufacturer of printed circuit boards, primarily for motherboards and video cards for personal computers. The firm is considered an original design manufacturer (ODM) and takes an active role in innovating and designing... View Details
      Keywords: Performance Management; Quantitative Analysis; Manufacturing; Production Planning; Production Management; Diversification; Production; Performance Efficiency; Product Design; Performance Improvement; Mobile Technology; Manufacturing Industry; Electronics Industry; Taiwan
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      Wheelwright, Steven C., and Sunru Yong. "AIC Netbooks: Optimizing Product Assembly." Harvard Business School Brief Case 114-245, January 2011.
      • Article

      Optimal Value and Growth Tilts in Long-Horizon Portfolios

      By: Jakub W. Jurek and Luis M. Viceira
      We develop an analytical solution to the dynamic portfolio choice problem of an investor with power utility defined over wealth at a finite horizon, who faces a time-varying investment opportunity set, parameterized using a flexible vector autoregression. We apply this... View Details
      Keywords: Decision Choices and Conditions; Private Equity; Investment; Investment Portfolio; Asset Pricing; Value
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      Jurek, Jakub W., and Luis M. Viceira. "Optimal Value and Growth Tilts in Long-Horizon Portfolios." Review of Finance 15, no. 1 (January 2011): 29–74.
      • November 2007
      • Background Note

      Asset Allocation I

      By: Joshua D. Coval, Erik Stafford, Rodrigo Osmo, John Jernigan, Zack Page and Paulo Passoni
      The goal of these simulations is to understand the mathematics of mean-variance optimization and the equilibrium pricing of risk if all investors use this rule with common information sets. Simulation A focuses on five to 10 years of monthly sector returns that are... View Details
      Keywords: Asset Pricing; Capital; Investment Return; Risk Management; Mathematical Methods
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      Coval, Joshua D., Erik Stafford, Rodrigo Osmo, John Jernigan, Zack Page, and Paulo Passoni. "Asset Allocation I." Harvard Business School Background Note 208-086, November 2007.
      • November 2007
      • Background Note

      Bayesian Estimation & Black-Litterman

      By: Joshua D. Coval and Erik Stafford
      Describes a practical method for asset allocation that is more robust to estimation errors than the traditional implementation of mean-variance optimization with sample means and covariances. The Bayesian inspired Black-Litterman model is described after introducing... View Details
      Keywords: Asset Management; Investment Portfolio; Mathematical Methods
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      Coval, Joshua D., and Erik Stafford. "Bayesian Estimation & Black-Litterman." Harvard Business School Background Note 208-085, November 2007.
      • April 2001
      • Article

      Optimal Portfolio Choice for Long-Horizon Investors with Nontradable Labor Income

      By: Luis M. Viceira
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      Viceira, Luis M. "Optimal Portfolio Choice for Long-Horizon Investors with Nontradable Labor Income." Journal of Finance 56, no. 2 (April 2001): 433–470.
      • 1989
      • Other Unpublished Work

      Optimal Portfolio Rules in Continuous Time When the Nonnegativity Constraint on Consumption is Binding

      By: Robert C. Merton
      Citation
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      Merton, Robert C. "Optimal Portfolio Rules in Continuous Time When the Nonnegativity Constraint on Consumption is Binding." December 1989. (In Chapter 6 of Continuous-Time Finance.)
      • October 1984
      • Article

      Large-Scale Portfolio Optimization

      By: André Perold
      Keywords: Financial Instruments
      Citation
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      Perold, André. "Large-Scale Portfolio Optimization." Management Science 30, no. 10 (October 1984): 1143–1160.
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