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  • All HBS Web  (628)
    • News  (18)
    • Research  (582)
    • Events  (3)
  • Faculty Publications  (575)

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  • All HBS Web  (628)
    • News  (18)
    • Research  (582)
    • Events  (3)
  • Faculty Publications  (575)
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  • 2023
  • Article

Balancing Risk and Reward: An Automated Phased Release Strategy

By: Yufan Li, Jialiang Mao and Iavor Bojinov
Phased releases are a common strategy in the technology industry for gradually releasing new products or updates through a sequence of A/B tests in which the number of treated units gradually grows until full deployment or deprecation. Performing phased releases in a... View Details
Keywords: Product Launch; Mathematical Methods; Product Development
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Li, Yufan, Jialiang Mao, and Iavor Bojinov. "Balancing Risk and Reward: An Automated Phased Release Strategy." Advances in Neural Information Processing Systems (NeurIPS) (2023).
  • January 2020
  • Article

The Long-Run Dynamics of Electricity Demand: Evidence from Municipal Aggregation

By: Tatyana Deryugina, Alexander MacKay and Julian Reif
We study the dynamics of residential electricity demand by exploiting a natural experiment that produced large and long-lasting price changes in over 250 Illinois communities. Using a flexible difference-in-differences matching approach, we estimate that the price... View Details
Keywords: Electricity Demand; Consumption Dynamics; Energy; Policy; Demand and Consumers; Price; Mathematical Methods
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Deryugina, Tatyana, Alexander MacKay, and Julian Reif. "The Long-Run Dynamics of Electricity Demand: Evidence from Municipal Aggregation." American Economic Journal: Applied Economics 12, no. 1 (January 2020): 86–114.
  • 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
Keywords: Energy; Demand and Consumers; Price; Policy; Mathematical Methods
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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
Keywords: Business Ventures; Price; Market Transactions; Mathematical Methods; Valuation
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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
Keywords: Decision Making; Goals and Objectives; Mathematical Methods; Perspective
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Aguilar, Francis. "Introduction to Decision Making." Harvard Business School Background Note 390-048, September 1989.
  • May 2009 (Revised December 2009)
  • Teaching Note

Reliance Baking Soda: Optimizing Promotional Spending (Brief Case)

By: John A. Quelch and Heather Beckham
Teaching Note to Briefcase 4128 View Details
Keywords: Quantitative Analysis; Consumer Marketing; Marketing Planning; Product Management; Sales Promotions; Program Budgeting; Marketing Strategy; Marketing Channels; Mathematical Methods; Advertising; Budgets and Budgeting; Product Marketing; Communication Strategy
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Quelch, John A., and Heather Beckham. "Reliance Baking Soda: Optimizing Promotional Spending (Brief Case)." Harvard Business School Teaching Note 094-128, May 2009. (Revised December 2009.)
  • 2010
  • Chapter

Facts and Fallacies about U.S. FDI in China

By: Lee Branstetter and C. Fritz Foley
Despite the rapid expansion of U.S.-China trade ties, the increase in U.S. FDI in China, and the expanding amount of economic research exploring these developments, a number of misconceptions distort the popular understanding of U.S. multinationals in China. In this... View Details
Keywords: Expansion; Trade; Foreign Direct Investment; Mathematical Methods; Multinational Firms and Management; China; United States
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Branstetter, Lee, and C. Fritz Foley. "Facts and Fallacies about U.S. FDI in China." In China's Growing Role in World Trade, edited by Robert Feenstra and Shang-Jin Wei. University of Chicago Press, 2010.
  • 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.
  • Fourth Quarter 2007
  • Article

Contingent Claims Approach to Measuring and Managing Sovereign Credit Risk

By: Dale . F. Gray, Robert C. Merton and Zvi Bodie
This paper proposes a new approach to measure, analyze, and manage sovereign risk based on the theory and practice of modern contingent claims analysis (CCA). The paper provides a new framework for adapting the CCA model to the sovereign balance sheet in a way that can... View Details
Keywords: Credit; Investment; Sovereign Finance; Risk Management; Emerging Markets; Market Transactions; Mathematical Methods; Valuation
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Gray, Dale . F., Robert C. Merton, and Zvi Bodie. "Contingent Claims Approach to Measuring and Managing Sovereign Credit Risk." Special Issue on Credit Analysis. Journal of Investment Management 5, no. 4 (Fourth Quarter 2007): 5–28.
  • November 1974 (Revised November 1977)
  • Background Note

Developing Forecasts with the Aid of Regression Analysis

By: Paul A. Vatter
Keywords: Forecasting and Prediction; Mathematical Methods
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Vatter, Paul A. "Developing Forecasts with the Aid of Regression Analysis." Harvard Business School Background Note 175-105, November 1974. (Revised November 1977.)
  • 2016
  • Working Paper

Refugee Resettlement

By: David Delacretaz, Scott Duke Kominers and Alexander Teytelboym
Over 100,000 refugees are permanently resettled from refugee camps to hosting countries every year. Nevertheless, refugee resettlement processes in most countries are ad hoc, accounting for neither the priorities of hosting communities nor the preferences of refugees... View Details
Keywords: Refugees; Marketplace Matching; Mathematical Methods
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Delacretaz, David, Scott Duke Kominers, and Alexander Teytelboym. "Refugee Resettlement." Working Paper, November 2016.
  • October 2012 (Revised October 2016)
  • Case

Predilytics

By: Robert F. Higgins and Annelena Lobb
The management team at Predilytics, a healthcare analytics firm, must decide whether to accept a Series A venture capital financing deal. The company provided analytic services to healthcare plans, typically Medicare Advantage plans, in efforts to draw conclusions from... View Details
Keywords: Analytics; Healthcare; Medicare; Health Care and Treatment; Mathematical Methods; Health Industry; New England; United States
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Higgins, Robert F., and Annelena Lobb. "Predilytics." Harvard Business School Case 813-023, October 2012. (Revised October 2016.)
  • 2008
  • Chapter

Moving to a New Global Competitiveness Index

By: Michael E. Porter, Mercedes Delgado-Garcia, Christian H.M. Ketels and Scott Stern
Keywords: Globalization; Competitive Advantage; Mathematical Methods
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Porter, Michael E., Mercedes Delgado-Garcia, Christian H.M. Ketels, and Scott Stern. "Moving to a New Global Competitiveness Index." Chap. 1.2 in Global Competitiveness Report 2008/2009, edited by Michael E. Porter and Klaus Schwab, 43–63. Geneva: World Economic Forum, 2008.
  • August 2006
  • Article

Confidence Intervals for Probabilities of Default

By: Samuel G. Hanson and Til Schuermann
In this paper we conduct a systematic comparison of confidence intervals around estimated probabilities of default (PD) using several analytical approaches as well as parametric and nonparametric bootstrap methods. We do so for two different PD estimation... View Details
Keywords: Credit Risk; Bootstrap; Mathematical Methods; Credit; Risk Management
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Hanson, Samuel G., and Til Schuermann. "Confidence Intervals for Probabilities of Default." Journal of Banking & Finance 30, no. 8 (August 2006).
  • January 2010 (Revised October 2011)
  • Case

The Congressional Oversight Panel's Valuation of the TARP Warrants (A)

By: Carliss Y. Baldwin
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
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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.)
  • 09 Mar 2020
  • Working Paper Summaries

Impact Investing: A Theory of Financing Social Entrepreneurship

Keywords: by Benjamin N. Roth; Financial Services
  • August 2012
  • Article

Organ Allocation Policy and the Decision to Donate

By: Judd B. Kessler and Alvin E. Roth
Organ donations from deceased donors (cadavers) provide the majority of transplanted organs in the United States, and one deceased donor can save numerous lives by providing multiple organs. Nevertheless, most Americans are not registered organ donors despite the... View Details
Keywords: Organ Donation; Health; Philanthropy and Charitable Giving; Decision Making; Resource Allocation; Mathematical Methods; United States
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Kessler, Judd B., and Alvin E. Roth. "Organ Allocation Policy and the Decision to Donate." American Economic Review 102, no. 5 (August 2012): 2018–2047.
  • 2006
  • Working Paper

On the Origin of Shared Beliefs (and Corporate Culture)

By: Eric J. Van den Steen

This paper shows why members of an organization often share similar beliefs. I argue that there are two mechanisms. First, when performance depends on making correct decisions, people prefer to work with others who share their beliefs and assumptions, since such... View Details

Keywords: Organizational Culture; Employees; Values and Beliefs; Mathematical Methods
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Van den Steen, Eric J. "On the Origin of Shared Beliefs (and Corporate Culture)." Sloan School of Management Working Paper, No. 4553-05, January 2006. (Available at SSRN.)
  • December 1998
  • Case

Origins of National Income Accounting

By: David A. Moss and Joseph P Gownder
Set in the Great Depression, this case explores the origins of national income accounting in the United States. Highlights Senator La Follette's 1932 proposal for the federal government to begin collecting national income statistics. View Details
Keywords: Accounting; Financial Crisis; Analytics and Data Science; Mathematical Methods; United States
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Moss, David A., and Joseph P Gownder. "Origins of National Income Accounting." Harvard Business School Case 799-080, December 1998.
  • 1997
  • Chapter

Applications of Option-Pricing Theory: Twenty-Five Years Later

By: Robert C. Merton
Keywords: Asset Pricing; Stock Options; Mathematical Methods
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Merton, Robert C. "Applications of Option-Pricing Theory: Twenty-Five Years Later." In Les Prix Nobel 1997, edited by Tore Frängsmyr. Stockholm: Nobel Foundation, 1997. (Reprinted in American Economic Review, June 1998.)
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