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Show Results For

  • All HBS Web  (854)
    • News  (79)
    • Research  (639)
    • Events  (14)
    • Multimedia  (4)
  • Faculty Publications  (632)
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  • February 2010 (Revised March 2016)
  • Background Note

Marketing Analysis Toolkit: Break-even Analysis

By: Thomas J. Steenburgh and Jill Avery
Marketing managers are often called upon to make recommendations for or against programs that cost money to implement. Before expenditures are made, managers want to be sure that they will be getting a return on their investment. One way of assessing this is by... View Details
Keywords: Decision Making; Investment Return; Spending; Management Analysis, Tools, and Techniques; Marketing Strategy; Strategic Planning; Mathematical Methods
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Steenburgh, Thomas J., and Jill Avery. "Marketing Analysis Toolkit: Break-even Analysis." Harvard Business School Background Note 510-080, February 2010. (Revised March 2016.)
  • June 2008
  • Supplement

Marie Trellu-Kane at Unis-Cite

By: Michel Anteby and Julie Battilana
Video supplement to Marie Trellu-Kane at Unis-Cite (A). View Details
Keywords: Social Enterprise; Organizational Design; Mathematical Methods; Paris
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Anteby, Michel, and Julie Battilana. "Marie Trellu-Kane at Unis-Cite." Harvard Business School Video Supplement 408-709, June 2008.
  • 1996
  • Thesis

Limits on Interest Rate Rules in Macroeconomic Models Governed by Price Stickiness and Rational Expectations

By: William R. Kerr
Keywords: Interest Rates; Macroeconomics; Mathematical Methods
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Kerr, William R. "Limits on Interest Rate Rules in Macroeconomic Models Governed by Price Stickiness and Rational Expectations." Thesis, University of Virginia, 1996.
  • August 1991
  • Background Note

Industrial Market Research: Beta Test Site Management

By: Robert J. Dolan
Describes the role of BETA tests in the new product development process and presents guidelines for effective test program development. View Details
Keywords: Product Development; Mathematical Methods; Marketing
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Dolan, Robert J. "Industrial Market Research: Beta Test Site Management." Harvard Business School Background Note 592-010, August 1991.
  • July 2002
  • Article

The Economist As Engineer: Game Theory, Experimental Economics and Computation As Tools of Design Economics

By: Alvin E Roth
Keywords: Game Theory; Economics; Mathematical Methods; Design
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Roth, Alvin E. "The Economist As Engineer: Game Theory, Experimental Economics and Computation As Tools of Design Economics." Econometrica 70, no. 4 (July 2002): 1341–1378.
  • June 2012
  • Response

Solution to Exchanges 10.2 Puzzle: Borrowing in the Limit as Our Nerdiness Goes to Infinity

By: Ran I. Shorrer
This is a solution to the editor's puzzle from issue 10.2 of SIGecom Exchanges [Reeves 2011]. The puzzle asks to determine a point in time such that a lump sum payment of $S will be equivalent to a continuous stream of infinitesimal payments totaling $S, spread evenly... View Details
Keywords: Borrowing and Debt; Market Transactions; Mathematical Methods
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Shorrer, Ran I. "Solution to Exchanges 10.2 Puzzle: Borrowing in the Limit as Our Nerdiness Goes to Infinity." ACM SIGecom Exchanges 11, no. 1 (June 2012): 39–41.
  • September 2010 (Revised January 2011)
  • Background Note

Using Regression Analysis to Estimate Time Equations

This note presents a simple way to estimate time equations using regression analysis in Excel. The note quickly outlines regression analysis, then presents a real-life case example from the natural gas industry that students can use to gain experience developing and... View Details
Keywords: Accounting; Activity Based Costing and Management; Mathematical Methods
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Martinez-Jerez, Francisco de Asis, and Ariel Andres Blumenkranc. "Using Regression Analysis to Estimate Time Equations." Harvard Business School Background Note 111-001, September 2010. (Revised January 2011.)
  • June 2007
  • Article

Which Levers Boost ROI?

By: Margeaux Cvar and John A. Quelch
The article refers to ROI, or return on investment, and focuses on a rational strategy for financial markets that uses outside industry comparisons. The first step is to identify parallel businesses that have similar characteristics such as growth, capital, and market... View Details
Keywords: Mathematical Methods; Financial Markets; Investment Return
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Cvar, Margeaux, and John A. Quelch. "Which Levers Boost ROI?" Harvard Business Review 85, no. 6 (June 2007): 21–24.
  • September 2025
  • Article

Using Satellites and Phones to Evaluate and Promote Agricultural Technology Adoption: Evidence from Smallholder Farms in India

By: Shawn Cole, Tomoko Harigaya, Grady Killeen and Aparna Krishna
This paper evaluates a low-cost, customized soil nutrient management advisory service in India. As a methodological contribution, we examine whether and in which settings satellite measurements may be effective at estimating both agricultural yields and treatment... View Details
Keywords: Measurement and Metrics; Mathematical Methods; Analytics and Data Science; Agriculture and Agribusiness Industry; India
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Cole, Shawn, Tomoko Harigaya, Grady Killeen, and Aparna Krishna. "Using Satellites and Phones to Evaluate and Promote Agricultural Technology Adoption: Evidence from Smallholder Farms in India." Journal of Development Economics 176 (September 2025).
  • 2024
  • Working Paper

What Is Newsworthy? Theory and Evidence

By: Luis Armona, Matthew Gentzkow, Emir Kamenica and Jesse M. Shapiro
We study newsworthiness in theory and practice. We focus on situations in which a news outlet observes the realization of a state of the world and must decide whether to report the realization to a consumer who pays an opportunity cost to consume the report. The... View Details
Keywords: News; Mathematical Methods; Prejudice and Bias; Media and Broadcasting Industry
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Armona, Luis, Matthew Gentzkow, Emir Kamenica, and Jesse M. Shapiro. "What Is Newsworthy? Theory and Evidence." NBER Working Paper Series, No. 32512, May 2024.
  • August 2022
  • Article

Contract Duration and the Costs of Market Transactions

By: Alexander MacKay
The optimal duration of a supply contract balances the costs of reselecting a supplier against the costs of being matched to an inefficient supplier when the contract lasts too long. I develop a structural model of contract duration that captures this tradeoff and... View Details
Keywords: Supply Contracts; Intermediate Goods; Switching Costs; Vertical Relationships; Transaction Costs; Contract Duration; Identification; Supply Chain; Cost; Contracts; Auctions; Mathematical Methods
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MacKay, Alexander. "Contract Duration and the Costs of Market Transactions." American Economic Journal: Microeconomics 14, no. 3 (August 2022): 164–212.
  • 2012
  • Chapter

Knowledge-based Innovation: Emergence and Embedding of New Practice Areas in Management Consulting Firms

By: Heidi K. Gardner, N. Anand and Tim Morris
How do innovative knowledge-based structures emerge and become embedded in organizations? We drew on theories of knowledge-intensive firms, communities of practice, and professional service firms to analyze multiple cases of new practice area creation in management... View Details
Keywords: Competency and Skills; Innovation and Invention; Knowledge; Organizations; Practice; Mathematical Methods; Consulting Industry
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Gardner, Heidi K., N. Anand, and Tim Morris. "Knowledge-based Innovation: Emergence and Embedding of New Practice Areas in Management Consulting Firms." In Management Consulting, edited by Stephanos Avakian and Timothy Clark. Cheltenham: Edward Elgar Publishing, 2012.
  • 2009
  • Working Paper

Smith and Rawls Share a Room: Stability and Medians

By: Bettina-Elisabeth Klaus and Flip Klijn
We consider one-to-one, one-sided matching (roommate) problems in which agents can either be matched as pairs or remain single. We introduce a so-called bi-choice graph for each pair of stable matchings and characterize its structure. Exploiting this structure we... View Details
Keywords: Fairness; One-Sided Platforms; Two-Sided Platforms; Marketplace Matching; Mathematical Methods; Balance and Stability
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Klaus, Bettina-Elisabeth, and Flip Klijn. "Smith and Rawls Share a Room: Stability and Medians." Harvard Business School Working Paper, No. 09-111, March 2009.
  • 2008
  • Chapter

Matching and Market Design

By: Muriel Niederle, Alvin E. Roth and Tayfun Sonmez
Matching is the part of economics concerned with who transacts with whom and how. Models of matching, starting with the Gale-Shapley deferred acceptance algorithm, have been particularly useful in studying labour markets and in helping design clearinghouses to fix... View Details
Keywords: Market Design; Marketplace Matching; Outcome or Result; Mathematical Methods
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Niederle, Muriel, Alvin E. Roth, and Tayfun Sonmez. "Matching and Market Design." In The New Palgrave Dictionary of Economics. 2nd ed. Edited by Steven Derlauf and Larry Blume. Hampshire, U.K.: Palgrave Macmillan, 2008.
  • January 2003 (Revised February 2011)
  • Tool

Business Analysis and Valuation Model (Version 5)

By: Paul M. Healy, Krishna G. Palepu and Jonathan Barnett
Once you enter company financial statements, this software enables you to standardize them to a common format, make any needed adjustments to the company's accounting, and make assumptions about the company's future performance. The model then provides financial ratios... View Details
Keywords: Financial Statements; Standards; Mathematical Methods; Valuation
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"Business Analysis and Valuation Model (Version 5)." Harvard Business School Tool 103-701, January 2003. (Revised February 2011.)
  • July 1996 (Revised June 2001)
  • Case

Atlantic Corporation-Abridged

By: Thomas R. Piper
A major paper company is considering acquiring the assets of a company that is threatened by a hostile takeover. The acquisition can be evaluated in terms of industry attractiveness, comparative advantage, and cash-flow analysis. View Details
Keywords: Projects; Cash Flow; Interest Rates; Valuation; Mathematical Methods; Horizontal Integration; Acquisition; Competitive Advantage; Aerospace Industry
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Piper, Thomas R. "Atlantic Corporation-Abridged." Harvard Business School Case 297-015, July 1996. (Revised June 2001.)
  • November 1999 (Revised June 2001)
  • Case

Seitel, Inc.

By: David F. Hawkins
The company's accounting for its seismic data library is questioned. Teaching Purpose: Inventory accounting. View Details
Keywords: Stock Shares; Financial Statements; Business Earnings; Financial Reporting; Stock Options; Mathematical Methods; Accounting Industry
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Hawkins, David F. "Seitel, Inc." Harvard Business School Case 100-022, November 1999. (Revised June 2001.)
  • November 1992
  • Case

Process Control at Polaroid (B)

By: H. Kent Bowen and Steven C. Wheelwright
The plant manager of a film production operation wants to create and implement a new approach to quality within the next 12 months. Issues of personnel (and their roles), production processes (and their control), and quality standards must be addressed. View Details
Keywords: Employee Relationship Management; Job Design and Levels; Management Practices and Processes; Production; Quality; Mathematical Methods
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Bowen, H. Kent, and Steven C. Wheelwright. "Process Control at Polaroid (B)." Harvard Business School Case 693-048, November 1992.
  • September 2025
  • Article

Sticky Capital Controls

By: Miguel Acosta-Henao, Laura Alfaro and Andrés Fernández
There is much ongoing debate on the merits of capital controls as effective policy instruments. The differing perspectives are due in part to a lack of empirical studies that look at the intensive margin of controls, which in turn has prevented a quantitative... View Details
Keywords: Capital Controls; Macroprudential Policies; Stickiness; Intensive; (S, S) Costs; Capital; Management; Macroeconomics; Governance Controls; Mathematical Methods
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Acosta-Henao, Miguel, Laura Alfaro, and Andrés Fernández. "Sticky Capital Controls." Art. 104104. Journal of International Economics 157 (September 2025).
  • July 2012
  • Article

Discrete Choice Cannot Generate Demand That Is Additively Separable in Own Price

By: Sonia Jaffe and Scott Duke Kominers
We show that in a unit demand discrete choice framework with at least three goods, demand cannot be additively separable in own price. This result sharpens the analogous result of Jaffe and Weyl (2010) in the case of linear demand and has implications for testing of... View Details
Keywords: Discrete Choice; Unit Demand; Separable Demand; Linear Demand; Demand and Consumers; Market Design; Mathematical Methods; Economics
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Jaffe, Sonia, and Scott Duke Kominers. "Discrete Choice Cannot Generate Demand That Is Additively Separable in Own Price." Economics Letters 116, no. 1 (July 2012): 129–132.
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