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  • All HBS Web  (3,383)
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Show Results For

  • All HBS Web  (3,383)
    • People  (38)
    • News  (622)
    • Research  (1,887)
    • Events  (27)
    • Multimedia  (200)
  • Faculty Publications  (1,404)
← Page 95 of 3,383 Results →
  • February 2021
  • Article

A Dynamic Theory of Multiple Borrowing

By: Daniel Green and Ernest Liu
Multiple borrowing—a borrower obtains overlapping loans from multiple lenders—is a common phenomenon in many credit markets. We build a highly tractable, dynamic model of multiple borrowing and show that, because overlapping creditors may impose default externalities... View Details
Keywords: Commitment; Multiple Borrowing; Common Agency; Misallocation; Microfinance; Investment; Mathematical Methods
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Green, Daniel, and Ernest Liu. "A Dynamic Theory of Multiple Borrowing." Journal of Financial Economics 139, no. 2 (February 2021): 389–404.
  • 1972
  • Chapter

Sociotechnical and Cognitive Models

By: Stephen Allen and John J. Gabarro
Keywords: Cognition and Thinking; Mathematical Methods; Society; Technology
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Allen, Stephen, and John J. Gabarro. "Sociotechnical and Cognitive Models." In Organization Planning, edited by Jay W. Lorsch and Paul R. Lawrence. Homewood, IL: Richard D. Irwin, 1972.
  • January 2008 (Revised April 2008)
  • Teaching Note

Pilgrim Bank (B): Statistics Review with Data Desk

By: Frances X. Frei
Teaching Note for 602095. View Details
Keywords: Banks and Banking; Mathematical Methods; Banking Industry
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Frei, Frances X. "Pilgrim Bank (B): Statistics Review with Data Desk." Harvard Business School Teaching Note 608-096, January 2008. (Revised April 2008.)
  • September 1993 (Revised August 2011)
  • Exercise

ExtendSim® Simulation Exercises in Process Analysis (B)

By: Roy D. Shapiro
Second set of exercises meant to be used with ExtendSim, a simulation package created by Imagine That, Inc. of San Jose, California, that allows students to investigate the impact of adding buffers to simple in-line processes with uncertain processing times. View Details
Keywords: Measurement and Metrics; Operations; Production; Mathematical Methods
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Shapiro, Roy D. "ExtendSim® Simulation Exercises in Process Analysis (B)." Harvard Business School Exercise 694-040, September 1993. (Revised August 2011.)
  • 2006
  • Chapter

Interorganizational Cooperation between Not-for-profit Organizations: A Relational Analysis

By: Julie Battilana and Metin Sengul
Keywords: Nonprofit Organizations; Cooperation; Mathematical Methods
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Battilana, Julie, and Metin Sengul. "Interorganizational Cooperation between Not-for-profit Organizations: A Relational Analysis." In Relational Perspectives in Organization Studies: A Research Companion, edited by Olympia Kyriakidou and Mustafa F. Özbilgin, 197–220. Cheltenham, U.K.: Edward Elgar Publishing, 2006.
  • 1980
  • Chapter

Tests of Capital Market Theory and Implications of the Evidence

By: Michael Jensen
Keywords: Capital Markets; Mathematical Methods
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Jensen, Michael. "Tests of Capital Market Theory and Implications of the Evidence." In Handbook of Financial Economics, edited by J. L. Bicksler. North-Holland Publishing Company, 1980. (Originally published in Is Financial Analysis Useless? Proceedings of a Seminar on the Efficient Market and Random Walk Hypotheses (The Financial Analysts Research Foundation, 1975).)
  • Article

Value of Information with Sequential Futures Markets

By: Jerry R. Green
The effects of an improvement in information on the efficiency of risk-bearing are studied under various systems of incomplete markets. With sequential futures markets for uncontingent delivery, the welfare effects are indeterminate in sign, except under special... View Details
Keywords: Information; Financial Markets; Mathematical Methods
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Green, Jerry R. "Value of Information with Sequential Futures Markets." Econometrica 49, no. 2 (March 1981): 335–358.
  • March 2010
  • Article

Matching with Preferences over Colleagues Solves Classical Matching

By: Scott Duke Kominers
In this note, we demonstrate that the problem of "many-to-one matching with (strict) preferences over colleagues" is actually more difficult than the classical many-to-one matching problem, "matching without preferences over colleagues." We give an explicit reduction... View Details
Keywords: Two-Sided Platforms; Balance and Stability; Mathematical Methods
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Kominers, Scott Duke. "Matching with Preferences over Colleagues Solves Classical Matching." Games and Economic Behavior 68, no. 2 (March 2010): 773–780.
  • Article

An Optimization-based Econometric Framework for the Evaluation of Monetary Policy

By: Julio J. Rotemberg and Michael Woodford
Keywords: Framework; Mathematical Methods; Money; Policy
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Rotemberg, Julio J., and Michael Woodford. "An Optimization-based Econometric Framework for the Evaluation of Monetary Policy." NBER Macroeconomics Annual 12 (1997): 297–344.
  • March 1989 (Revised April 1998)
  • Case

Marriott Corporation: The Cost of Capital (Abridged)

By: Richard S. Ruback
Gives students the opportunity to explore how a company uses the Capital Asset Pricing Model (CAPM) to compute the cost of capital for each of its divisions. The use of Weighted Average Cost of Capital (WACC) formula and the mechanics of applying it are stressed. View Details
Keywords: Cost of Capital; Mathematical Methods
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Ruback, Richard S. "Marriott Corporation: The Cost of Capital (Abridged)." Harvard Business School Case 289-047, March 1989. (Revised April 1998.)
  • November 2019
  • Article

Full Substitutability

By: John William Hatfield, Scott Duke Kominers, Alexandru Nichifor, Michael Ostrovsky and Alexander Westkamp
Various forms of substitutability are essential for establishing the existence of equilibria and other useful properties in diverse settings such as matching, auctions, and exchange economies with indivisible goods. We extend earlier models’ definitions of... View Details
Keywords: Substitutability; Mathematical Methods; Auctions; Market Design
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Hatfield, John William, Scott Duke Kominers, Alexandru Nichifor, Michael Ostrovsky, and Alexander Westkamp. "Full Substitutability." Theoretical Economics 14, no. 4 (November 2019): 1535–1590.
  • July 2008 (Revised May 2009)
  • Teaching Note

The Springfield Nor'easters: Maximizing Revenues in the Minor Leagues (Brief Case)

By: Frank V. Cespedes, Christopher H. Lovelock and Laura Winig
Teaching Note for 2510 View Details
Keywords: Market Research; Quantitative Analysis; Consumer Marketing; Pricing Strategy; Price; Mathematical Methods; Marketing Channels
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Cespedes, Frank V., Christopher H. Lovelock, and Laura Winig. "The Springfield Nor'easters: Maximizing Revenues in the Minor Leagues (Brief Case)." Harvard Business School Teaching Note 082-511, July 2008. (Revised May 2009.)
  • November 2012
  • Article

The Variance of Non-Parametric Treatment Effect Estimators in the Presence of Clustering

By: Samuel G. Hanson and Adi Sunderam
Non-parametric estimators of treatment effects are often applied in settings where clustering may be important. We provide a general methodology for consistently estimating the variance of a large class of non-parametric estimators, including the simple matching... View Details
Keywords: Treatment Effects; Matching Estimators; Clustering; Applications and Software; Mathematical Methods
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Hanson, Samuel G., and Adi Sunderam. "The Variance of Non-Parametric Treatment Effect Estimators in the Presence of Clustering." Review of Economics and Statistics 94, no. 4 (November 2012). (Stata and Matlab Code Here.)
  • January 2006
  • Tutorial

Cost-Volume Profit Models

By: David F. Hawkins, V.G. Narayanan, Jacob Cohen and Michele Jurgens
Covers fixed, variable, and semivariable costs and their role in building and interpreting cost-volume-profit models. Introduces the cost-volume and contribution-volume-profit models and identifies some of their uses and limitations. Teaches how to use the... View Details
Keywords: Volume; Cost; Profit; Mathematical Methods
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"Cost-Volume Profit Models." Harvard Business School Tutorial 105-705, January 2006.
  • 2007
  • Working Paper

Mental Accounting and Small Windfalls: Evidence from an Online Grocer

By: Katherine L. Milkman, John Beshears, Todd Rogers and Max H. Bazerman
We study the effect of small windfalls on consumer spending decisions by examining the purchasing behavior of a sample of online grocery shoppers over the course of a year. We compare the purchases customers make when redeeming a $10-off coupon they received from their... View Details
Keywords: Spending; Consumer Behavior; Mathematical Methods; Food and Beverage Industry; Retail Industry
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Milkman, Katherine L., John Beshears, Todd Rogers, and Max H. Bazerman. "Mental Accounting and Small Windfalls: Evidence from an Online Grocer." Harvard Business School Working Paper, No. 08-024, September 2007. (Revised March 2008.)
  • 03 Dec 2024
  • News

Magic Numbers

Courtesy Shalinee Sharma Courtesy Shalinee Sharma As a sixth grader in Buffalo, New York, Shalinee Sharma (MBA 2005) believed math just wasn’t her thing. There were only a few girls in the honors class at her new school, and Sharma soon realized that she was far behind... View Details
Keywords: Amy Crawford
  • June 2012
  • Response

Solution to Exchanges 10.2 Puzzle: Borrowing in the Limit as Our Nerdiness Goes to Infinity

By: Ran I. Shorrer
This is a solution to the editor's puzzle from issue 10.2 of SIGecom Exchanges [Reeves 2011]. The puzzle asks to determine a point in time such that a lump sum payment of $S will be equivalent to a continuous stream of infinitesimal payments totaling $S, spread evenly... View Details
Keywords: Borrowing and Debt; Market Transactions; Mathematical Methods
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Shorrer, Ran I. "Solution to Exchanges 10.2 Puzzle: Borrowing in the Limit as Our Nerdiness Goes to Infinity." ACM SIGecom Exchanges 11, no. 1 (June 2012): 39–41.
  • September 2010 (Revised January 2011)
  • Background Note

Using Regression Analysis to Estimate Time Equations

This note presents a simple way to estimate time equations using regression analysis in Excel. The note quickly outlines regression analysis, then presents a real-life case example from the natural gas industry that students can use to gain experience developing and... View Details
Keywords: Accounting; Activity Based Costing and Management; Mathematical Methods
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Martinez-Jerez, Francisco de Asis, and Ariel Andres Blumenkranc. "Using Regression Analysis to Estimate Time Equations." Harvard Business School Background Note 111-001, September 2010. (Revised January 2011.)
  • June 2007
  • Article

Which Levers Boost ROI?

By: Margeaux Cvar and John A. Quelch
The article refers to ROI, or return on investment, and focuses on a rational strategy for financial markets that uses outside industry comparisons. The first step is to identify parallel businesses that have similar characteristics such as growth, capital, and market... View Details
Keywords: Mathematical Methods; Financial Markets; Investment Return
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Cvar, Margeaux, and John A. Quelch. "Which Levers Boost ROI?" Harvard Business Review 85, no. 6 (June 2007): 21–24.
  • 12 Dec 2023
  • News

Can Sustainability Drive Innovation at Ferrari?

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