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

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March 2017 (Revised March 2022)
Case

Flashion: Art vs. Science in Fashion Retailing

By: Kris Ferreira and Karim R. Lakhani

Kate Wilson, retail analytics manager at Flashion, a fashion flash-sale site, is tasked with developing analytics to optimize pricing for first-exposure products on the site. Many in the industry have relied on years of experience and intuition to determine pricing—can... View Details

Keywords: Analytics; Pricing; Data; Service Operations; Forecasting and Prediction; Internet and the Web; Technology Adoption; Mathematical Methods; Decision Making; E-commerce; Retail Industry; Fashion Industry; United States

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
Article

Do Inventory and Gross Margin Data Improve Sales Forecasts for U.S. Public Retailers?

By: Saravanan Kesavan, Vishal Gaur and Ananth Raman

Firm-level sales forecasts for retailers can be improved if we incorporate cost of goods sold, inventory, and gross margin (defined here as the ratio of sales to cost of goods sold) as three endogenous variables. We construct a simultaneous equations model, estimated... View Details

Keywords: Sales; Forecasting and Prediction; Distribution; Goods and Commodities; Cost; Public Sector; Profit; Mathematical Methods; Analytics and Data Science; Retail Industry; United States

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November 2006
Background Note

Technical Game Theory Note #6: Multiple-Round Games and Reputations

By: Dennis A. Yao

Provides a game theory-based interpretation of reputations and reputation building. View Details

Keywords: Game Theory; Mathematical Methods; Games, Gaming, and Gambling; Reputation; Debates; Strategy; Performance Consistency; Performance Improvement; Strategic Planning; Education Industry

December 2005 (Revised March 2007)
Case

Innovation and Collaboration at Merrill Lynch

By: Boris Groysberg and Ingrid Vargas

In the spring of 2005, Candace Browning, head of Global Securities Research and Economics at Merrill Lynch, led about 500 Merrill Lynch analysts worldwide in a collaborative effort to produce innovative research, most of them accustomed to working independently in... View Details

Keywords: Leadership; Groups and Teams; Management Teams; Decision Making; Collaborative Innovation and Invention; Negotiation; Mathematical Methods; Strategy; Human Resources; Motivation and Incentives; Banking Industry; Financial Services Industry

February 2007 (Revised January 2008)
Supplement

Multifactor Models (CW)

By: Malcolm P. Baker

Keywords: Asset Pricing; Cost of Capital; Forecasting and Prediction; Investment Funds; Investment Return; Mathematical Methods; Performance Evaluation

November 2002 (Revised March 2010)
Case

The Newsprint Industry

By: Ramon Casadesus-Masanell, Nabil I. Al-Najjar and James Pyke

Describes the 1990s consolidation on the newsprint industry. Questions whether consolidation will ever deliver on its promise. Whereas some industry observers maintain that the effects of consolidation are already visible, others argue that further consolidation is... View Details

Keywords: Five Forces Framework; Duopoly and Oligopoly; Monopoly; Mathematical Methods; Competition; Consolidation; Pulp and Paper Industry

July 2009 (Revised January 2012)
Case

Risk Management at Wellfleet Bank: All That Glitters Is Not Gold

By: Anette Mikes

This case motivates a debate on the role of staff functions, such as risk management: what does it mean for them to be independent, and at the same time, to partner the business lines? The case describes the risk assessment process in the corporate banking arm of... View Details

Keywords: Decision Choices and Conditions; Judgments; Credit; Banks and Banking; Governance Controls; Risk Management; Mathematical Methods

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

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

25 Aug 2022
News

Labs Enable Large-scale Research

will collaboratively examine aspects of artificial intelligence (AI) that have an impact on business and society at large. Their research output will include case studies, scholarly publications, and new tools and methods that can be put... View Details

Article

Fly-by-Night Firms and the Market for Product Reviews

By: Gerald R. Faulhaber and Dennis A. Yao

This paper presents a model that permits third-party information provision in a market characterized by information asymmetries and reputation formation. The model is used to examine how the market for information provision affects prices and supply in the primary... View Details

Keywords: Markets; Reputation; SWOT Analysis; Mathematical Methods; Price Bubble; Inflation and Deflation; Duopoly and Oligopoly; Cost; Information; Quality; Price; Competitive Advantage; Information Industry

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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

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

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

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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November 1999 (Revised November 2000)
Case

International Business Machines Corporation (C)

By: David F. Hawkins

A financial analyst is examining IBM's 1998 tax note to understand better how the company's 1998 tax note was determined. Teaching purpose: Illustrates deferred tax accounting. View Details

Keywords: History; Earnings Management; Taxation; Decision Making; Business Model; Business Earnings; Information Infrastructure; Mathematical Methods; Private Sector; Accounting Audits; Accounting Industry; Computer 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

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