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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

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

05 Dec 2017
Research & Ideas

What We've Learned from 101 Entrepreneurs in Emerging Markets

not just relying on the printed word—why can we not do research by referring to video, sound, and the like? There is so much mathematics devoted today to extraction of quantitative data from all sorts of data sources that a move in this... View Details

Keywords: by Sean Silverthorne

18 Oct 2006
Research & Ideas

New at the Helm: A Talk with HBS Dean Light

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... View Details

Keywords: by Roger Thompson; Education

July 2006
Article

Dynamic Mixed Duopoly: A Model Motivated by Linux vs. Windows

By: Ramon Casadesus-Masanell and Pankaj Ghemawat

This paper analyzes a dynamic mixed duopoly in which a profit-maximizing competitor interacts with a competitor that prices at zero (or marginal cost), with the cumulation of output affecting their relative positions over time. The modeling effort is motivated by... View Details

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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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29 Nov 2004
Research & Ideas

Caves, Clusters, and Weak Ties: The Six Degrees World of Inventors

letter actually getting to his friend—there were six referrals. This idea has passed into popular culture and urban folklore as the six degrees of separation. That's where it lay until a decade ago when a few researchers out of the Santa Fe Institute formalized the... View Details

Keywords: by Sara Grant; Publishing

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

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

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

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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