Mathematics - Publications - Faculty & Research - Harvard Business School

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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

September 2018
Article

Aggregation of Consumer Ratings: An Application to Yelp.com

By: Weijia Dai, Ginger Jin, Jungmin Lee and Michael Luca

Because consumer reviews leverage the wisdom of the crowd, the way in which they are aggregated is a central decision faced by platforms. We explore this "rating aggregation problem" and offer a structural approach to solving it, allowing for (1) reviewers to vary in... View Details

Keywords: User Generated Content; Crowdsourcing; Yelp; Social and Collaborative Networks; Information; Internet and the Web; Learning; Mathematical Methods; E-commerce

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January 2008
Background Note

Index Options

By: Joshua Coval and Erik Stafford

The goal of this simulation is to understand the patterns in index option prices that are not predicted by the Black-Scholes model. In particular, the simulation focuses on two properties of options prices. First, at-the-money implied volatilities from index options... View Details

Keywords: Volatility; Stock Options; Investment; Price; Profit; Risk Management; Mathematical Methods

January 2002 (Revised October 2007)
Case

Grantham, Mayo, Van Otterloo & Co., 2001

By: Joshua Musher and Andre F. Perold

Asset manager GMO underperforms the market during the 1996-2000 stock market bubble because of the focus on absolute risk. After suffering significant client withdrawals, performance again shines when the bubble collapses. Did they win the battle only to lose the war?... View Details

Keywords: Customers; Asset Management; Stocks; Investment; Price Bubble; Mathematical Methods; Risk and Uncertainty

October 1993 (Revised August 1996)
Background Note

Forecasting with Regression Analysis

By: Arthur Schleifer Jr.

Provides an example of regression in one of its most important roles. Relating probabilistic forecasts based on past data to decision analysis. View Details

Keywords: Management Analysis, Tools, and Techniques; Analytics and Data Science; Forecasting and Prediction; Mathematical Methods

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

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

19 Mar 2015
News

Walter Salmon Remembered

1967) You might say Walt saved my career. Much in ego-building demand, I accelerated out of the Harvard Economics PhD program, where I had loaded my brain with monetary policy, Keynes versus Friedman, mathematical macro-modeling and lots... View Details

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

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

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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March 2019 (Revised May 2019)
Case

Fetchr: A New Way of Last Mile Delivery

By: V.G. Narayanan and Eren Kuzucu

By mid-2016, five years of aggressive growth had transformed Fetchr from a small logistics startup to a 1,000-employee, full-fledged last-mile delivery company operating across four countries in the Middle East and North Africa (MENA). Already beneficiaries of the... 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

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

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

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