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- January 2010 (Revised October 2011)
- Case
The Congressional Oversight Panel's Valuation of the TARP Warrants (A)
The Congressional Oversight Panel wants to value the warrants issued to the government in connection with the TARP investments of 2008, in order to increase the transparency of options repurchases. The case describes the methodology used to value the warrants. Students... View Details
Keywords: Financial Crisis; Asset Pricing; Financial Instruments; Investment; Business and Government Relations; Mathematical Methods; Valuation; Banking Industry; Public Administration Industry; United States
Baldwin, Carliss Y. "The Congressional Oversight Panel's Valuation of the TARP Warrants (A)." Harvard Business School Case 210-035, January 2010. (Revised October 2011.)
- Working Paper
The Long-Run Dynamics of Electricity Demand: Evidence from Municipal Aggregation
By: Tatyana Deryugina, Alexander MacKay and Julian Reif
Economic theory suggests that demand is more elastic in the long run relative to the short run, but evidence on the empirical relevance of this phenomenon is scarce. We study the dynamics of residential electricity demand by exploiting price variation arising from a... View Details
Deryugina, Tatyana, Alexander MacKay, and Julian Reif. "The Long-Run Dynamics of Electricity Demand: Evidence from Municipal Aggregation." NBER Working Paper Series, No. 23483, October 2017.
- October 2005 (Revised January 2009)
- Background Note
Corporate Valuation and Market Multiples
By: Timothy A. Luehrman
Provides a basic introduction to the use of market multiples for business valuation. Explains the method's reliance on the Law of One Price, sets forth the basic steps for using the method, and reviews some practical issues arising in its application. View Details
Luehrman, Timothy A. "Corporate Valuation and Market Multiples." Harvard Business School Background Note 206-039, October 2005. (Revised January 2009.)
- September 1989
- Background Note
Introduction to Decision Making
By: Francis Aguilar
Describes the process of decision making (establish objectives, generate alternatives, and so on) emphasizing the human side of it (using rules of thumb, favoring one's own pet projects) yet demonstrating the role an analytic/quantitative contribution has to make. View Details
Aguilar, Francis. "Introduction to Decision Making." Harvard Business School Background Note 390-048, September 1989.
- 2024
- Working Paper
The New Digital Divide
By: Mayana Pereira, Shane Greenstein, Raffaella Sadun, Prasanna Tambe, Lucia Ronchi Darre, Tammy Glazer, Allen Kim, Rahul Dodhia and Juan Lavista Ferres
We build and analyze new metrics of digital usage that leverage telemetry data collected by Microsoft during operating system updates across forty million Windows devices in U.S. households. These measures of US household digital usage are much more comprehensive than... View Details
Keywords: Mathematical Methods; Measurement and Metrics; Geographic Location; Behavior; Technology Adoption; Demographics
Pereira, Mayana, Shane Greenstein, Raffaella Sadun, Prasanna Tambe, Lucia Ronchi Darre, Tammy Glazer, Allen Kim, Rahul Dodhia, and Juan Lavista Ferres. "The New Digital Divide." NBER Working Paper Series, No. 32932, September 2024.
- August 1993 (Revised April 1994)
- Case
Flanders of Springfield
Flanders is a catalog merchandiser. Various decisions on catalog distribution policy, ordering and inventory policy, and catalog format design are considered. This was a final examination, and serves as a review for a number of topics in the course. View Details
Keywords: Decisions; Policy; Distribution; Product Design; Supply Chain; Mathematical Methods; Consumer Products Industry
Schleifer, Arthur, Jr. "Flanders of Springfield." Harvard Business School Case 894-005, August 1993. (Revised April 1994.)
- October 1997 (Revised May 1998)
- Case
Decision Making at the Top: The All-Star Sports Catalog Division
By: David A. Garvin and Michael Roberto
Describes a senior management team's strategic decision-making process. The division president faces three options for redesigning the process to address several key concerns. The president has extensive quantitative and qualitative data about the process to guide him... View Details
Keywords: Decision Choices and Conditions; Management Teams; Performance Improvement; Planning; Mathematical Methods; Strategy
Garvin, David A., and Michael Roberto. "Decision Making at the Top: The All-Star Sports Catalog Division." Harvard Business School Case 398-061, October 1997. (Revised May 1998.)
- January 1971 (Revised November 1975)
- Background Note
Linear Programming: A Technique for Analyzing Resource Allocation Problems
By: Paul W. Marshall
Marshall, Paul W. "Linear Programming: A Technique for Analyzing Resource Allocation Problems." Harvard Business School Background Note 171-322, January 1971. (Revised November 1975.)
- 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
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.)
- Article
Formal Measures in Informal Management: Can a Balanced Scorecard Change a Culture?
By: Robert Gibbons and Robert S. Kaplan
Agency theorists, historically, have analyzed what kinds of performance measures should be used in formal incentive contracts. For example, after Kaplan-Norton proposed a balanced scorecard of both financial and non-financial measures, some envisioned its role only in... View Details
Keywords: Relational Contracts; Performance Measurement; Informal Management; Balanced Scorecard; Economics; Mathematical Methods
Gibbons, Robert, and Robert S. Kaplan. "Formal Measures in Informal Management: Can a Balanced Scorecard Change a Culture?" American Economic Review: Papers and Proceedings 105, no. 5 (May 2015).
- 2007
- Working Paper
Deferred Acceptance Algorithms: History, Theory, Practice, and Open Questions
By: Alvin E. Roth
The deferred acceptance algorithm proposed by Gale and Shapley (1962) has had a profound influence on market design, both directly, by being adapted into practical matching mechanisms, and, indirectly, by raising new theoretical questions. Deferred acceptance... View Details
- May 2010
- Article
Bye Bye Bundles: The Unbundling of Music in Digital Channels
By: Anita Elberse
Fueled by digital distribution, unbundling is prevalent in many information industries. What is the effect of this unbundling on sales? And what bundle characteristics drive this effect? I empirically examine these questions in the context of the music industry, using... View Details
Keywords: Unbundling; Bundling; Digital Distribution; System-of-equations Modeling; Sales; Distribution Channels; Framework; Mathematical Methods; Revenue; Reputation; Internet and the Web; System; E-commerce; Information Industry; Music Industry
Elberse, Anita. "Bye Bye Bundles: The Unbundling of Music in Digital Channels." Journal of Marketing 74, no. 3 (May 2010): 107–123.
- October 2002
- Exercise
Luster Paint Corporation, The
Describes a marketing director about to launch a new process for demand forecasting. Provides data that allow students to do a multivariable regression analysis. A rewritten version of an earlier case. View Details
Keywords: Forecasting and Prediction; Analytics and Data Science; Management Practices and Processes; Demand and Consumers; Mathematical Methods
Hammond, Janice H. "Luster Paint Corporation, The." Harvard Business School Exercise 603-078, October 2002.
- November 1999 (Revised May 2000)
- Supplement
Data Supplement: Post-War US Economic Statistics
By: Julio J. Rotemberg and Cherie Nursalim
Supplements Tax Cut of 1964 (9-382-078), Nixon's Economic Strategy--1969 (8-378-258), and The Reagan Plan (9-381-173). View Details
Keywords: History; Sovereign Finance; Development Economics; Mathematical Methods; Taxation; Policy; Government Administration; Macroeconomics; United States
Rotemberg, Julio J., and Cherie Nursalim. "Data Supplement: Post-War US Economic Statistics." Harvard Business School Supplement 700-070, November 1999. (Revised May 2000.)
- 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
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.
- May 2020
- Article
Identifying Sources of Inefficiency in Health Care
By: Amitabh Chandra and Douglas O. Staiger
In medicine, the reasons for variation in treatment rates across hospitals serving similar patients are not well understood. Some interpret this variation as unwarranted and push standardization of care as a way of reducing allocative inefficiency. However, an... View Details
Keywords: Health Care and Treatment; Performance Efficiency; Performance Productivity; Mathematical Methods
Chandra, Amitabh, and Douglas O. Staiger. "Identifying Sources of Inefficiency in Health Care." Quarterly Journal of Economics 135, no. 2 (May 2020): 785–843.
- 2019
- Article
Ridesharing with Driver Location Preferences
By: Duncan Rheingans-Yoo, Scott Duke Kominers, Hongyao Ma and David C. Parkes
We study revenue-optimal pricing and driver compensation in ridesharing platforms when drivers have heterogeneous preferences over locations. If a platform ignores drivers' location preferences, it may make inefficient trip dispatches; moreover, drivers may strategize... View Details
Keywords: Ridesharing; Pricing; Compensation and Benefits; Geographic Location; Market Design; Mathematical Methods
Rheingans-Yoo, Duncan, Scott Duke Kominers, Hongyao Ma, and David C. Parkes. "Ridesharing with Driver Location Preferences." Proceedings of the International Joint Conference on Artificial Intelligence (2019): 557–564.
- 2012
- Working Paper
Level II Negotiations: Helping the Other Side Meet Its 'Behind the Table' Challenges
A long analytic tradition explores the challenge of productively synchronizing "internal" with "external" negotiations, especially focusing on how each side can best manage internal opposition to agreements negotiated "at the table." Implicit in much of this work is... View Details
Keywords: Negotiation; Conflict Management; Agreements and Arrangements; Government and Politics; Mathematical Methods; United States; Germany
Sebenius, James K. "Level II Negotiations: Helping the Other Side Meet Its 'Behind the Table' Challenges." Harvard Business School Working Paper, No. 13-004, July 2012.
- 2008
- Working Paper
Deterring Online Advertising Fraud Through Optimal Payment in Arrears
By: Benjamin Edelman
Online advertisers face substantial difficulty in selecting and supervising small advertising partners. Fraud can be well-hidden, and limited reputation systems reduce accountability. But partners are not paid until after their work is complete, and advertisers can... View Details
Keywords: Misleading and Fraudulent Advertising; Online Advertising; Profit; Corporate Accountability; Partners and Partnerships; Mathematical Methods
Edelman, Benjamin. "Deterring Online Advertising Fraud Through Optimal Payment in Arrears." Harvard Business School Working Paper, No. 08-072, February 2008. (Revised August 2008, October 2008, February 2009.)