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

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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

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

18 May 2017
News

Pioneer Spirit

humanities class of the semester, he met Fern, his future wife. “We were married four hours after we both graduated from Kansas State (Ross earned a BS in mathematics and Fern earned a BS in business education) and immediately moved to... View Details

Keywords: Constantine von Hoffman

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

September 1996 (Revised March 2002)
Case

Bishay Industries

By: David F. Hawkins and Norman Bartczak

A bankrupt company has a turnaround plan. Students are asked to predict whether it will be successful. View Details

Keywords: Insolvency and Bankruptcy; Business Plan; Goals and Objectives; Strategic Planning; Business Strategy; Cash Flow; Mathematical Methods; Financial Services Industry

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February 2010
Supplement

Marketing Analysis Toolkit: Market Size and Market Share Analysis (CW)

By: Thomas J. Steenburgh and Jill Avery

This Excel worksheet contains sample problems, prebuilt Excel models to run market sizing and market share analyses, and charts and graphs which help visualize the results. It is designed to accompany Marketing Analysis Tookit: Market Size and Market Share Analysis.... View Details

Keywords: Mathematical Methods; Marketing Strategy; Decisions; Strategic Planning; Market Participation; Sales; Forecasting and Prediction; Management Analysis, Tools, and Techniques

2009
Article

Social Structure Shapes Cultural Stereotypes and Emotions: A Causal Test of the Stereotype Content Model

By: P. Caprariello, A.J.C. Cuddy and S.T. Fiske

The stereotype content model (SCM) posits that social structure predicts specific cultural stereotypes and associated emotional prejudices (Fiske et al., 2002). No prior evidence at a societal level has manipulated both structural predictors and measured both... View Details

Keywords: Competency and Skills; Mathematical Methods; Emotions; Personal Characteristics; Prejudice and Bias; Status and Position; Culture; Competition

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2012
Working Paper

Issuer Quality and Corporate Bond Returns

By: Robin Greenwood and Samuel G. Hanson

We show that the credit quality of corporate debt issuers deteriorates during credit booms, and that this deterioration forecasts low excess returns to corporate bondholders. The key insight is that changes in the pricing of credit risk disproportionately affect the... View Details

Keywords: Price; Credit; Risk and Uncertainty; Investment Return; Forecasting and Prediction; Bonds; Market Design; Cost of Capital; Mathematical Methods; System Shocks

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

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

September 2020 (Revised March 2022)
Case

JOANN: Joannalytics Inventory Allocation Tool

By: Kris Ferreira and Srikanth Jagabathula

Michael Joyce, Vice President of Inventory Management at JOANN, championed an effort to develop and implement an inventory allocation analytics tool that used advanced analytics to predict in-season demand of seasonal items for each of JOANN’s nearly 900 stores and... View Details

Keywords: Analytics; Machine Learning; Optimization; Inventory Management; Mathematical Methods; Decision Making; Operations; Supply Chain Management; Resource Allocation; Distribution; Technology Adoption; Applications and Software; Change Management; Fashion Industry; Consumer Products Industry; Retail Industry; United States; Ohio

2020
Working Paper

Overcoming the Cold Start Problem of CRM Using a Probabilistic Machine Learning Approach

By: Eva Ascarza

The success of Customer Relationship Management (CRM) programs ultimately depends on the firm's ability to understand consumers' preferences and precisely capture how these preferences may differ across customers. Only by understanding customer heterogeneity, firms can... View Details

Keywords: Customer Management; Targeting; Deep Exponential Families; Probabilistic Machine Learning; Cold Start Problem; Customer Relationship Management; Customer Value and Value Chain; Consumer Behavior; Analytics and Data Science; Mathematical Methods; Retail Industry

August 2000 (Revised September 2000)
Case

Extraprise

By: Srikant M. Datar, Krishna G. Palepu and Sarah S. Khetani

In the three years since it was founded, the Boston-based Internet strategy consulting firm, Extraprise, has changed its strategy three times. Jennifer Gabler, the CFO, considers what kinds of control systems she can put in place to ensure the company can continue to... View Details

Keywords: Information Management; Management Analysis, Tools, and Techniques; Mathematical Methods; Information Technology; Outcome or Result; Business Growth and Maturation; Growth and Development Strategy; Web Services Industry; Information Technology Industry; Boston

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

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

10 Jun 2013
Research & Ideas

How Numbers Talk to People

Thomas H. Davenport and Jinho Kim offer an introduction to the best methods for consuming data. In this excerpt, Davenport and Kim discuss multiple ways to tell a story with data, "the best way to communicate results to nonanalytical... View Details

2010
Case

Playa Dorado

By: W. Earl Sasser

Playa Dorada Beach & Resort in Boca Raton, Florida, faces a growing seasonal demand for tennis services. The number of guests is expected to double in the next few years, and while the tennis facilities are a popular and well-promoted amenity at the resort, court space... View Details

Keywords: Demand and Consumers; Management Analysis, Tools, and Techniques; Expansion; Planning; Mathematical Methods; Price; Profit; Sales; Operations; Growth and Development Strategy; Marketing; Performance Capacity; Accommodations Industry; Florida

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

31 May 2011
First Look

First Look: May 31

mathematical models has turned the negotiated order of organizational activities, which necessarily include particularistic elements, into abstract generalizations that favor quantifiable variables. This paper offers another logic, a... View Details

Keywords: Sean Silverthorne

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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