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    • News  (22)
    • Research  (250)
    • Events  (4)
  • Faculty Publications  (230)

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  • All HBS Web  (308)
    • News  (22)
    • Research  (250)
    • Events  (4)
  • Faculty Publications  (230)
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  • February 2010
  • Supplement

Marketing Analysis Toolkit: Breakeven Analysis (CW)

By: Thomas J. Steenburgh and Jill Avery
This Excel worksheet contains sample problems, prebuilt Excel models to run breakeven analyses, and charts and graphs which help visualize the results. It is designed to accompany "Marketing Analysis Toolkit: Breakeven Analysis." View Details
Keywords: Mathematical Methods; Marketing; Decisions; Planning; Marketing Strategy; Management Analysis, Tools, and Techniques
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Steenburgh, Thomas J., and Jill Avery. "Marketing Analysis Toolkit: Breakeven Analysis (CW)." Harvard Business School Spreadsheet Supplement 510-713, February 2010.
  • March 1989 (Revised April 1998)
  • Case

Marriott Corporation: The Cost of Capital (Abridged)

By: Richard S. Ruback
Gives students the opportunity to explore how a company uses the Capital Asset Pricing Model (CAPM) to compute the cost of capital for each of its divisions. The use of Weighted Average Cost of Capital (WACC) formula and the mechanics of applying it are stressed. View Details
Keywords: Cost of Capital; Mathematical Methods
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Ruback, Richard S. "Marriott Corporation: The Cost of Capital (Abridged)." Harvard Business School Case 289-047, March 1989. (Revised April 1998.)
  • 2020
  • Working Paper

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: 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." Harvard Business School Working Paper, No. 18-058, December 2017. (Revised May 2020. Direct download.)
  • 2008
  • Working Paper

Allocating Marketing Resources

By: Sunil Gupta and Thomas J. Steenburgh
Marketing is essential for the organic growth of a company. Not surprisingly, firms spend billions of dollars on marketing. Given these large investments, marketing managers have the responsibility to optimally allocate these resources and demonstrate that these... View Details
Keywords: Investment Return; Resource Allocation; Marketing; Demand and Consumers; Mathematical Methods
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Gupta, Sunil, and Thomas J. Steenburgh. "Allocating Marketing Resources." Harvard Business School Working Paper, No. 08-069, February 2008.
  • 2008
  • Chapter

Allocating Marketing Resources

By: Sunil Gupta and Thomas J. Steenburgh

Companies spend billions of dollars on marketing every year because it is essential to organic growth. Given these large investments, marketing managers have the responsibility to optimally allocate resources and to demonstrate that their investments generate... View Details

Keywords: Investment Return; Resource Allocation; Marketing; Demand and Consumers; Mathematical Methods
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Gupta, Sunil, and Thomas J. Steenburgh. "Allocating Marketing Resources." In Marketing Mix Decisions: New Perspectives and Practices, edited by Roger A. Kerin and Rob O'Regan. Chicago, IL: American Marketing Association, 2008.
  • 2010
  • Working Paper

Quality Provision, Expected Firm Altruism and Brand Extensions

By: Julio J. Rotemberg
This paper studies quality choice in a model where consumers expect firms to act altruistically. It is shown that, under plausible assumptions regarding this altruism and the reaction of consumers to firms that demonstrate insufficient altruism, existing firms (or... View Details
Keywords: Brands and Branding; Consumer Behavior; Product Development; Corporate Social Responsibility and Impact; Quality; Mathematical Methods
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Rotemberg, Julio J. "Quality Provision, Expected Firm Altruism and Brand Extensions." NBER Working Paper Series, No. 15635, January 2010.
  • 2023
  • Article

On Minimizing the Impact of Dataset Shifts on Actionable Explanations

By: Anna P. Meyer, Dan Ley, Suraj Srinivas and Himabindu Lakkaraju
The Right to Explanation is an important regulatory principle that allows individuals to request actionable explanations for algorithmic decisions. However, several technical challenges arise when providing such actionable explanations in practice. For instance, models... View Details
Keywords: Mathematical Methods; Analytics and Data Science
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Meyer, Anna P., Dan Ley, Suraj Srinivas, and Himabindu Lakkaraju. "On Minimizing the Impact of Dataset Shifts on Actionable Explanations." Proceedings of the Conference on Uncertainty in Artificial Intelligence (UAI) 39th (2023): 1434–1444.
  • 2005
  • Working Paper

Nominal versus Indexed Debt: A Quantitative Horse Race

By: Laura Alfaro and Fabio Kanczuk
The main arguments in favor of and against nominal and indexed debt are the incentive to default through inflation versus hedging against unforeseen shocks. We model and calibrate these arguments to assess their quantitative importance. We use a dynamic equilibrium... View Details
Keywords: Borrowing and Debt; Taxation; Risk and Uncertainty; Inflation and Deflation; System Shocks; Developing Countries and Economies; Mathematical Methods
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Alfaro, Laura, and Fabio Kanczuk. "Nominal versus Indexed Debt: A Quantitative Horse Race." Harvard Business School Working Paper, No. 05-053, January 2005. (Revised March 2010. Also NBER Working Paper No. 13131.)
  • 2001
  • Working Paper

When Does the Market Matter? Stock Prices and the Investment of Equity Dependent Firms

By: Malcolm Baker, Jeremy Stein and Jeffrey Wurgler
We use a simple model of corporate investment to determine when investment will be sensitive to non-fundamental movements in stock prices. The key cross-sectional prediction of the model is that stock prices will have a stronger impact on the investment of firms that... View Details
Keywords: Investment; Equity; Stocks; Price; Mathematical Methods; Forecasting and Prediction
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Baker, Malcolm, Jeremy Stein, and Jeffrey Wurgler. "When Does the Market Matter? Stock Prices and the Investment of Equity Dependent Firms." NBER Working Paper Series, No. 8750, December 2001. (First draft in 2001.)
  • spring 1987
  • Article

Second-Sourcing and the Experience Curve: Price Competition in Defense Procurement

By: James J. Anton and Dennis A. Yao
We examine a dynamic model of price competition in defense procurement that incorporates the experience curve, asymmetric cost information, and the availability of a higher cost alternative system. We model acquisition as a two-stage process in which initial production... View Details
Keywords: Acquisition; Government and Politics; Price; Competition; Mathematical Methods
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Anton, James J., and Dennis A. Yao. "Second-Sourcing and the Experience Curve: Price Competition in Defense Procurement." RAND Journal of Economics 18, no. 1 (spring 1987): 57–76. (Harvard users click here for full text.)
  • 2009
  • Chapter

Plant-Size Distribution and Cross-Country Income Differences

By: Laura Alfaro, Andrew Charlton and Fabio Kanczuk
We investigate, using plant-level data for 79 developed and developing countries, whether differences in the allocation of resources across heterogeneous plants are a significant determinant of cross-country differences in income per worker. For this purpose, we use a... View Details
Keywords: Factories, Labs, and Plants; Developing Countries and Economies; Wages; Resource Allocation; Mathematical Methods
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Alfaro, Laura, Andrew Charlton, and Fabio Kanczuk. "Plant-Size Distribution and Cross-Country Income Differences." In NBER International Seminar on Macroeconomics 2008, edited by Jeffrey A. Frankel and Christopher Pissarides. Cambridge, MA: National Bureau of Economic Research, 2009.
  • 2008
  • Working Paper

Firm-Size Distribution and Cross-Country Income Differences

By: Laura Alfaro, Andrew Charlton and Fabio Kanczuk
We investigate, using plant-level data for 79 developed and developing countries, whether differences in the allocation of resources across heterogeneous plants are a significant determinant of cross-country differences in income per worker. For this purpose, we use a... View Details
Keywords: Factories, Labs, and Plants; Developing Countries and Economies; Wages; Resource Allocation; Mathematical Methods
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Alfaro, Laura, Andrew Charlton, and Fabio Kanczuk. "Firm-Size Distribution and Cross-Country Income Differences." NBER Working Paper Series, No. 14060, June 2008.
  • fall 2008
  • Article

Toward a Theory of Behavioral Operations

By: Francesca Gino and Gary P. Pisano
Human beings are critical to the functioning of the vast majority of operating systems, influencing both the way these systems work and how they perform. Yet most formal analytical models of operations assume that the people who participate in operating systems are... View Details
Keywords: Management Systems; Operations; Mathematical Methods; Behavior; Cognition and Thinking; Perspective; Theory
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Gino, Francesca, and Gary P. Pisano. "Toward a Theory of Behavioral Operations." Manufacturing & Service Operations Management 10, no. 4 (fall 2008): 676–691.
  • 2011
  • Working Paper

Charitable Giving When Altruism and Similarity Are Linked

By: Julio J. Rotemberg
This paper presents a model in which anonymous charitable donations are rationalized by two human tendencies drawn from the psychology literature. The first is people's disproportionate disposition to help those they agree with while the second is the dependence of... View Details
Keywords: Philanthropy and Charitable Giving; Mathematical Methods; Attitudes; Interests; Perception; Wealth and Poverty
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Rotemberg, Julio J. "Charitable Giving When Altruism and Similarity Are Linked." NBER Working Paper Series, No. 17585, November 2011.
  • September 2010
  • Article

Do Inventory and Gross Margin Data Improve Sales Forecasts for U.S. Public Retailers?

By: Saravanan Kesavan, Vishal Gaur and Ananth Raman
Firm-level sales forecasts for retailers can be improved if we incorporate cost of goods sold, inventory, and gross margin (defined here as the ratio of sales to cost of goods sold) as three endogenous variables. We construct a simultaneous equations model, estimated... View Details
Keywords: Sales; Forecasting and Prediction; Distribution; Goods and Commodities; Cost; Public Sector; Profit; Mathematical Methods; Analytics and Data Science; Retail Industry; United States
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Kesavan, Saravanan, Vishal Gaur, and Ananth Raman. "Do Inventory and Gross Margin Data Improve Sales Forecasts for U.S. Public Retailers?" Management Science 56, no. 9 (September 2010): 1519–1533.
  • September 2007
  • Article

(Noisy) Communication

By: Bharat Anand and Ron Shachar
Communication is central to many settings in marketing and economics. A focal attribute of communication is miscommunication. We model this key characteristic as a noise in the messages communicated, so that the sender of a message is uncertain about its perception by... View Details
Keywords: Communication Intention and Meaning; Interpersonal Communication; Cost vs Benefits; Marketing Communications; Performance Improvement; Mathematical Methods
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Anand, Bharat, and Ron Shachar. "(Noisy) Communication." Quantitative Marketing and Economics 5, no. 3 (September 2007): 211–237. (Lead Article.)
  • 18 Nov 2016
  • Conference Presentation

Rawlsian Fairness for Machine Learning

By: Matthew Joseph, Michael J. Kearns, Jamie Morgenstern, Seth Neel and Aaron Leon Roth
Motivated by concerns that automated decision-making procedures can unintentionally lead to discriminatory behavior, we study a technical definition of fairness modeled after John Rawls' notion of "fair equality of opportunity". In the context of a simple model of... View Details
Keywords: Machine Learning; Algorithms; Fairness; Decision Making; Mathematical Methods
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Joseph, Matthew, Michael J. Kearns, Jamie Morgenstern, Seth Neel, and Aaron Leon Roth. "Rawlsian Fairness for Machine Learning." Paper presented at the 3rd Workshop on Fairness, Accountability, and Transparency in Machine Learning, Special Interest Group on Knowledge Discovery and Data Mining (SIGKDD), November 18, 2016.
  • 2023
  • Working Paper

How People Use Statistics

By: Pedro Bordalo, John J. Conlon, Nicola Gennaioli, Spencer Yongwook Kwon and Andrei Shleifer
We document two new facts about the distributions of answers in famous statistical problems: they are i) multi-modal and ii) unstable with respect to irrelevant changes in the problem. We offer a model in which, when solving a problem, people represent each hypothesis... View Details
Keywords: Decision Choices and Conditions; Microeconomics; Mathematical Methods; Behavioral Finance
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Bordalo, Pedro, John J. Conlon, Nicola Gennaioli, Spencer Yongwook Kwon, and Andrei Shleifer. "How People Use Statistics." NBER Working Paper Series, No. 31631, August 2023.
  • October 2007
  • Case

The AtekPC Project Management Office

By: F. Warren McFarlan, Mark Keil and John Hupp
Presents one company's efforts to implement a project management organization, or PMO, and the challenges they faced in doing so. Issues brought out in the case include defining the PMO's purpose and mission, the structure and governance of the PMO, and how to... View Details
Keywords: Projects; Goals and Objectives; Technological Innovation; Information Technology; Business Strategy; Mathematical Methods; Consulting Industry
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McFarlan, F. Warren, Mark Keil, and John Hupp. "The AtekPC Project Management Office." Harvard Business School Case 308-049, October 2007.
  • 2007
  • Working Paper

Optimal Reserve Management and Sovereign Debt

By: Laura Alfaro and Fabio Kanczuk
Most models currently used to determine optimal foreign reserve holdings take the level of international debt as given. However, given the sovereign's willingness-to-pay incentive problems, reserve accumulation may reduce sustainable debt levels. In addition, assuming... View Details
Keywords: Sovereign Finance; Borrowing and Debt; Financial Liquidity; International Finance; Emerging Markets; Mathematical Methods
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Alfaro, Laura, and Fabio Kanczuk. "Optimal Reserve Management and Sovereign Debt." NBER Working Paper Series, No. 13216, July 2007.
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