Mathematics - Publications - Faculty & Research - Harvard Business School

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2008
Chapter

Corporate Honesty and Business Education: A Behavioral Model

By: Rakesh Khurana and Herbert Gintis

Since the mid-1970s neoclassical economic theory has dominated business school thinking and teaching in dealing with the nature of human motivation. However valuable in understanding competitive product and financial markets, neoclassical economic theory employs an... View Details

Keywords: Business Education; Ethics; Managerial Roles; Corporate Social Responsibility and Impact; Organizational Culture; Business and Shareholder Relations; Mathematical Methods; Behavior

01 Sep 2006
News

Light Years Ahead

my application aside and asked whether I’d like to get a doctorate instead,” recalls Light. After discussions during a visit to the campus, Light agreed to enter a new doctoral program in decision and control theory, a joint program between HBS and Harvard’s economics... View Details

Keywords: Roger Thompson; Business Schools & Computer & Management Training; Educational Services

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

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

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

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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19 Jun 2023
Blog Post

The Road to Impact

mathematics or to teach non-English speakers how to read English in third grade, or how to better inhibit suicidal patients from taking their own lives,” he notes. Offensend is currently focused on increasing the organization’s visibility... View Details

08 Mar 2013
News

The Accidental Innovator

books: Foundation, by Isaac Asimov; Ender’s Game, by Orson Scott Card; and A Connecticut Yankee in King Arthur’s Court, by Mark Twain. In Foundation, actually a series of books, fast-forward into the future where a “psychohistorian,” who uses View Details

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

September 2010
Supplement

Compass Maritime Services, LLC: Valuing Ships (CW)

By: Benjamin C. Esty and Albert W. Sheen

Tom Roberts, a founding partner of Compass Maritime Services, a New Jersey-based shipping research and consulting firm, has been asked by a new potential customer in May 2008 for advice on purchasing a capesize bulk carrier. After identifying a suitable ship with his... View Details

Keywords: Acquisition; Decisions; Microeconomics; Finance; Price; Management Analysis, Tools, and Techniques; Market Transactions; Partners and Partnerships; Mathematical Methods; Valuation; Consulting Industry; New Jersey

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

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October 2002
Exercise

Luster Paint Corporation, The

By: Janice H. Hammond

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

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

July 2010
Supplement

Marketing Analysis Toolkit: Customer Lifetime Value Analysis (CW)

By: Thomas J. Steenburgh and Jill Avery

Customers are increasingly being viewed as assets that bring value to the firm. Customer lifetime value is a metric which allows managers to understand the overall value of their customer base and relate it to three customer strategies firms employ: asset acquisition -... View Details

Keywords: Competency and Skills; Customer Relationship Management; Customer Value and Value Chain; Decisions; Framework; Management Practices and Processes; Marketing; Marketing Strategy; Strategic Planning; Mathematical Methods; Value

07 Dec 2009
Research & Ideas

Government’s Positive Role in Kick-Starting Entrepreneurship

funds have been misleading, but even these problematic perceptions can make performing their roles difficult. The second major challenge relates to the need to generate good returns on investments. Groups, particularly the larger ones, must struggle with the cruel... View Details

Keywords: by Sean Silverthorne; Technology

01 Mar 2012
News

The Accidental Innovator

Twain. In Foundation, actually a series of books, fast-forward into the future where a “psychohistorian,” who uses mathematical models to accurately predict large-scale movements of history, sees an oncoming dark age that will last 30,000... View Details

Keywords: Garry Emmons; Educational Support Services; Educational Services; News, Library, Internet, and Other Services; Information

June 2021
Technical Note

Introduction to Linear Regression

By: Michael Parzen and Paul Hamilton

This technical note introduces (from an applied point of view) the theory and application of simple and multiple linear regression. The motivation for the model is introduced, as well as how to interpret the summary output with regard to prediction and statistical... View Details

Keywords: Linear Regression; Regression; Analysis; Forecasting and Prediction; Risk and Uncertainty; Theory; Compensation and Benefits; Mathematical Methods; Analytics and Data Science

Article

Moment-to-moment Optimal Branding in TV Commercials: Preventing Avoidance by Pulsing

By: Thales S. Teixeira, Michel Wedel and Rik Pieters

We develop a conceptual framework for understanding the impact that branding activity (the audio-visual representation of brands) and consumers' dispersion of attention have on their moment-to-moment avoidance decisions during television advertising. It formalizes this... View Details

Keywords: Advertising; Decision Choices and Conditions; Television Entertainment; Brands and Branding; Consumer Behavior; Mathematical Methods

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2009
Working Paper

Estimating the Effects of Large Shareholders Using a Geographic Instrument

By: Bo Becker, Henrik Cronqvist and Rudiger Fahlenbrach

Large shareholders may play an important role for firm performance and policies, but identifying this empirically presents a challenge due to the endogeneity of ownership structures. We develop and test an empirical framework which allows us to separate selection from... View Details

Keywords: Business Headquarters; Geographic Location; Corporate Governance; Governance Controls; Performance Effectiveness; Business and Shareholder Relations; Mathematical Methods

January 2000
Supplement

Basic Statistics from the World Bank's World Development Report 1998/1999

By: Julio J. Rotemberg

Supplements National Income Accounting and The Origins of National Income Accounting. View Details

Keywords: Business Organization; History; Earnings Management; Financial Institutions; International Finance; International Accounting; Business Earnings; Mathematical Methods; Reports; Economic Growth; Commercial Banking; Financial Services Industry

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