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  • All HBS Web  (3,381)
    • People  (38)
    • News  (626)
    • Research  (1,887)
    • Events  (27)
    • Multimedia  (204)
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← Page 89 of 3,381 Results →
  • Article

Portfolio Value-at-Risk Optimization for Asymmetrically Distributed Asset Returns

By: Joel Goh, Kian Guan Lim, Melvyn Sim and Weina Zhang
We propose a new approach to portfolio optimization by separating asset return distributions into positive and negative half-spaces. The approach minimizes a newly-defined Partitioned Value-at-Risk (PVaR) risk measure by using half-space statistical information. Using... View Details
Keywords: Robust Optimization; Portfolio Management; Value-at-risk; Mathematical Methods; Finance
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Goh, Joel, Kian Guan Lim, Melvyn Sim, and Weina Zhang. "Portfolio Value-at-Risk Optimization for Asymmetrically Distributed Asset Returns." European Journal of Operational Research 221, no. 2 (September 1, 2012): 397–406.
  • July 1985 (Revised March 1994)
  • Background Note

Exposure and Hedging

By: David E. Bell
Describes the concept of exposure; the dependence of a goal on an uncertain external event. Describes in detail how hedges may be constructed to eliminate exposure, including the algebra of cross-hedging and hedge ratios. The relevance of regression analysis is... View Details
Keywords: Mathematical Methods; Finance
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Bell, David E. "Exposure and Hedging." Harvard Business School Background Note 186-036, July 1985. (Revised March 1994.)
  • 1976
  • Book

Lies, Damn Lies and Statistics: The Manipulation of Public Opinion in America

By: Michael A. Wheeler
Keywords: Society; Mathematical Methods; United States
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Wheeler, Michael A. Lies, Damn Lies and Statistics: The Manipulation of Public Opinion in America. New York, NY: W. W. Norton & Company, 1976.
  • 30 Nov 2021
  • News

TikTok: Super App or Supernova?

  • 16 Nov 2021
  • News

Can Massachusetts General Brigham Diversify Its Community of Innovators?

  • 02 Nov 2021
  • News

Innovating in the Feminine Care Market

  • July 2023
  • Article

Design and Analysis of Switchback Experiments

By: Iavor I Bojinov, David Simchi-Levi and Jinglong Zhao
In switchback experiments, a firm sequentially exposes an experimental unit to a random treatment, measures its response, and repeats the procedure for several periods to determine which treatment leads to the best outcome. Although practitioners have widely adopted... View Details
Keywords: Switchback Experiments; Design; Analysis; Mathematical Methods
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Bojinov, Iavor I., David Simchi-Levi, and Jinglong Zhao. "Design and Analysis of Switchback Experiments." Management Science 69, no. 7 (July 2023): 3759–3777.
  • January 1997
  • Background Note

Simulation as a Decision Aid

By: Roy D. Shapiro
A brief introduction to simulation--what it is, why it's used, etc. Meant to set context for a first class on simulation. A rewritten version of an earlier note. View Details
Keywords: Mathematical Methods; Decision Making
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Shapiro, Roy D. "Simulation as a Decision Aid." Harvard Business School Background Note 697-062, January 1997.
  • 30 Jan 2024
  • News

Can Second-Generation Ethanol Production Help Decarbonize the World?

  • November 1977
  • Article

On the Pricing of Contingent Claims and the Modigliani-Miller Theorem

By: Robert C. Merton
Keywords: Price; Mathematical Methods
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Merton, Robert C. "On the Pricing of Contingent Claims and the Modigliani-Miller Theorem." Journal of Financial Economics 5 (November 1977): 241–249. (Chapter 13 in Continuous-Time Finance.)
  • August 1970
  • Case

Hawthorne Plastics

An "imperfect tester" problem involving the decision of how to produce batches of plastic strapping, given uncertainty about the length of the molecular chain in the raw material. A decision on whether to test the raw material and a choice of production process must be... View Details
Keywords: Decision Making; Mathematical Methods
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Hammond, John S. "Hawthorne Plastics." Harvard Business School Case 171-004, August 1970.
  • 2021
  • Article

Fair Algorithms for Infinite and Contextual Bandits

By: Matthew Joseph, Michael J Kearns, Jamie Morgenstern, Seth Neel and Aaron Leon Roth
We study fairness in linear bandit problems. Starting from the notion of meritocratic fairness introduced in Joseph et al. [2016], we carry out a more refined analysis of a more general problem, achieving better performance guarantees with fewer modelling assumptions... View Details
Keywords: Algorithms; Bandit Problems; Fairness; Mathematical Methods
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Joseph, Matthew, Michael J Kearns, Jamie Morgenstern, Seth Neel, and Aaron Leon Roth. "Fair Algorithms for Infinite and Contextual Bandits." Proceedings of the AAAI/ACM Conference on Artificial Intelligence, Ethics, and Society 4th (2021).
  • Article

Bilateral Contracts

By: Jerry R. Green and Seppo Honkapohja
A mathematical characterization of self-enforcing bilateral contracts is given. Contracts where both parties exercise some control over the quantity traded can sometimes be superior to contracts that rest control entirely with one side. Some qualitative characteristics... View Details
Keywords: Contracts; Mathematical Methods
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Green, Jerry R., and Seppo Honkapohja. "Bilateral Contracts." Journal of Mathematical Economics 11, no. 2 (1983): 171–187.
  • Other Unpublished Work

The Role of Inventory in Empowered Work Settings: Model and Empirical Analysis

By: S. Datar, M. Alles and R. Sarkar
Keywords: Logistics; Mathematical Methods
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Datar, S., M. Alles, and R. Sarkar. "The Role of Inventory in Empowered Work Settings: Model and Empirical Analysis."
  • 1987
  • Chapter

Money in the Utility Function: An Empirical Implementation

By: Julio J. Rotemberg and James Poterba
Keywords: Money; Mathematical Methods
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Rotemberg, Julio J., and James Poterba. "Money in the Utility Function: An Empirical Implementation." In New Approaches to Monetary Economics, edited by W. Barnett and K. Singleton, 219–240. Cambridge University Press, 1987.
  • Article

Scale Economies in Statistical Analyses of Market Power

By: R. E. Caves, J. Khalizadeh-Shirazi and M. E. Porter
Keywords: Economics; Mathematical Methods; Markets
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Caves, R. E., J. Khalizadeh-Shirazi, and M. E. Porter. "Scale Economies in Statistical Analyses of Market Power." Review of Economics and Statistics 57, no. 2 (May 1975): 133–140.
  • 1976
  • Other Unpublished Work

Simulation of the Market Effects of Housing Allowance

By: Dutch Leonard, Gregory K. Ingram and Robert Schafer
Keywords: Housing; Markets; Mathematical Methods
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Leonard, Dutch, Gregory K. Ingram, and Robert Schafer. "Simulation of the Market Effects of Housing Allowance." National Bureau of Economic Research, New York, January 1976.
  • 01 Apr 2025
  • News

Calyx Global: Improving the Quality of Carbon Credits

  • 23 Apr 2024
  • News

Amazon in Seattle: The Role of Business in Causing and Solving a Housing Crisis

  • 16 Jan 2024
  • News

How SolarWinds Responded to the 2020 SUNBURST Cyberattack

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