Mathematical Methods - Publications - Faculty & Research - Harvard Business School

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2012
Other Unpublished Work

The Efficacy of Shareholder Voting: Evidence from Equity Compensation Plans

By: Ian D. Gow, Christopher S. Armstrong and David F. Larcker

This study examines the effects of shareholder support for equity compensation plans on subsequent chief executive officer (CEO) compensation. Using cross-sectional regression, instrumental variable, and regression discontinuity research designs, we find little... View Details

Keywords: Voting; Equity; Executive Compensation; Rights; Performance Effectiveness; Business and Shareholder Relations; Mathematical Methods; Motivation and Incentives

2009
Other Unpublished Work

Choice-based Measures of Conflict in Preferences

By: Katherine Baldiga and Jerry R. Green

We propose a family of measures of difference between ordinal preference relations. The difference between two preferences is the probability that they would disagree about the optimal choice from a random available set. It is in this sense that these measures are... View Details

Keywords: Decision Choices and Conditions; Measurement and Metrics; Mathematical Methods; Conflict of Interests; Welfare

February 2004
Case

Bradman and Tendulkar, LLC

By: Ananth Raman and Vishal Gaur

An investment firm is trying to project inventory turns for Radio Shack, a chain of consumer electronics stores. The investment firm has access to public financial data but not to internal operational metrics. It needs to project inventory turns because inventory... View Details

Keywords: Forecasting and Prediction; Cash Flow; Demand and Consumers; Distribution Channels; Mathematical Methods; Valuation

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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March 2005
Article

Sovereign Debt As a Contingent Claim: A Quantitative Approach

By: Laura Alfaro and Fabio Kanczuk

We construct a dynamic equilibrium model with contingent service and adverse selection to quantitatively study sovereign debt. In the model, benefits of defaulting are tempered by higher future interest rates. For a wide set of parameters, the only equilibrium is one... View Details

Keywords: Sovereign Finance; Borrowing and Debt; Interest Rates; Balance and Stability; Risk and Uncertainty; Risk Management; Mathematical Methods; Management Style; Segmentation; Debt Securities; Banking Industry

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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

July 2010 (Revised December 2011)
Background Note

Marketing Analysis Toolkit: Pricing and Profitability Analysis

By: Thomas J. Steenburgh and Jill Avery

Pricing is one of the most difficult decisions marketers make and the one with the most direct and immediate impact on the firm's financial position. This toolkit will introduce the fundamental terminology and calculations associated with pricing and profitability... View Details

Keywords: Forecasting and Prediction; Price; Profit; Management Analysis, Tools, and Techniques; Marketing Strategy; Demand and Consumers; Measurement and Metrics; Strategic Planning; Mathematical Methods; Retail Industry

2012
Book

Enterprise Analytics: Optimize Performance, Process, and Decisions Through Big Data

By: Thomas H. Davenport

This book, an edited collection of research papers from the International Institute of Analytics, addresses a wide variety of key topics in managing business analytics and big data at the enterprise level. It includes key applications of analytics, human and... View Details

Keywords: Business Analytics; Big Data; Business or Company Management; Analytics and Data Science; Management Practices and Processes; Mathematical Methods; Information Management

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

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

2010
Working Paper

The Unbundling of Advertising Agency Services: An Economic Analysis

By: Mohammad Arzaghi, Ernst R. Berndt, James C. Davis and Alvin J. Silk

We address a longstanding puzzle surrounding the unbundling of services occurring over several decades in the U.S. advertising agency industry: What accounts for the shift from bundling to unbundling of services and the slow pace of change? Using Evans and Salinger's... View Details

Keywords: Advertising; Change; Forecasting and Prediction; Cost; Price; Analytics and Data Science; Surveys; Marketing Strategy; Media; Service Operations; Agency Theory; Mathematical Methods; Advertising 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

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

November 2009
Journal Article

A Theory of Growth and Volatility at the Aggregate and Firm Level

By: Diego A. Comin and Sunil Mulani

This paper presents an endogenous growth model that explains the evolution of the first and second moments of productivity growth at the aggregate and firm level during the post-war period. Growth is driven by the development of both (i) idiosyncratic R&D innovations... View Details

Keywords: Volatility; Microeconomics; Innovation and Invention; Growth and Development Strategy; Resource Allocation; Performance Productivity; Mathematical Methods; Research and Development

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2009
Working Paper

Input Constraints and the Efficiency of Entry: Lessons from Cardiac Surgery

By: David M. Cutler, Robert S. Huckman and Jonathan T. Kolstad

Prior studies suggest that, with elastically supplied inputs, free entry may lead to an inefficiently high number of firms in equilibrium. Under input scarcity, however, the welfare loss from free entry is reduced. Further, free entry may increase use of high-quality... View Details

Keywords: Health Care and Treatment; Market Entry and Exit; Duopoly and Oligopoly; Government Legislation; Mathematical Methods; Health Industry; Pennsylvania

January 2011 (Revised January 2015)
Case

Matrix Capital Management (A)

By: Malcolm P. Baker and David Lane

Ben Balbale, a partner at hedge fund Matrix Capital, must decide whether to exit their investment in Rovi Corporation, a company with a diverse portfolio of patents used primarily for digital interactive guides. Rovi's shares are up over 50% from the time Balbale... View Details

Keywords: Forecasting and Prediction; Asset Management; Cash Flow; Stock Shares; Financial Markets; Investment Funds; Measurement and Metrics; Mathematical Methods; Strategy; Valuation; Financial Services Industry

September 2010 (Revised January 2012)
Case

Emergia: Driving Profitability on Help Desk Contracts

Emergia wants to keep its customer happy with its contact center service, but the margins on the help desk contract are dangerously low. Can Miguel Neira, the COO, increase margins while preserving the customer relationship? View Details

Keywords: Customer Relationship Management; Customer Satisfaction; Profit; Job Cuts and Outsourcing; Management Analysis, Tools, and Techniques; Service Operations; Performance Capacity; Performance Evaluation; Mathematical Methods; Service Industry

16 Aug 2010
Lessons from the Classroom

HBS Introduces Marketing Analysis Tools for Managers

The marketing analysis toolkits are a suite of analytical tools that managers can use to inform decision-making in marketing. Each toolkit includes a technical note that outlines the analysis technique, provides examples of how it is used in marketing, and shows View Details

Keywords: by Sarah Jane Gilbert

2009
Working Paper

When Does Domestic Saving Matter for Economic Growth?

By: Philippe Aghion, Diego A. Comin, Peter Howitt and Isabel Tecu

Can a country grow faster by saving more? We address this question both theoretically and empirically. In our theoretical model, growth results from innovations that allow local sectors to catch up with frontier technology. In poor countries, catching up requires the... View Details

Keywords: Developing Countries and Economies; Economic Growth; Entrepreneurship; Foreign Direct Investment; Saving; Technological Innovation; 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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