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Publications

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      • Faculty Publications  (157)

      Mathematical ModelingRemove Mathematical Modeling →

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      • 2006
      • Working Paper

      On the Origin of Shared Beliefs (and Corporate Culture)

      By: Eric J. Van den Steen

      This paper shows why members of an organization often share similar beliefs. I argue that there are two mechanisms. First, when performance depends on making correct decisions, people prefer to work with others who share their beliefs and assumptions, since such... View Details

      Keywords: Organizational Culture; Employees; Values and Beliefs; Mathematical Methods
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      Van den Steen, Eric J. "On the Origin of Shared Beliefs (and Corporate Culture)." Sloan School of Management Working Paper, No. 4553-05, January 2006. (Available at SSRN.)
      • 2005
      • Chapter

      A Revised Model of the Resource Allocation Process

      By: J. L. Bower and Clark Gilbert
      Keywords: Resource Allocation; Mathematical Methods
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      Bower, J. L., and Clark Gilbert. "A Revised Model of the Resource Allocation Process." In From Resource Allocation to Strategy, edited by Joseph L. Bower and Clark Gilbert. U.K.: Oxford University Press, 2005.
      • 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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      Alfaro, Laura, and Fabio Kanczuk. "Sovereign Debt As a Contingent Claim: A Quantitative Approach." Journal of International Economics 65, no. 2 (March 2005).
      • February 2005 (Revised November 2016)
      • Background Note

      Forecasting the Adoption of a New Product

      By: Elie Ofek
      Provides tools and methodologies that allow forecasting demand for innovative new products. Highlights the Bass model—the theory behind it and ways to determine its parameters. Provides a detailed example of how to use the Bass model to forecast demand for satellite... View Details
      Keywords: Forecasting and Prediction; Innovation and Invention; Marketing; Demand and Consumers; Mathematical Methods; Competition
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      Ofek, Elie. "Forecasting the Adoption of a New Product." Harvard Business School Background Note 505-062, February 2005. (Revised November 2016.)
      • 2005
      • Working Paper

      Macro for Managers

      By: David A. Moss
      This note attempts to provide a conceptual overview of macroeconomics. Designed for managers and students of management, it emphasizes fundamental ideas and relationships, rather than mathematical models and formulas. The note identifies—and is structured around—three... View Details
      Keywords: Macroeconomics; Money; Relationships; Performance Expectations
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      Moss, David A. "Macro for Managers." Harvard Business School Working Paper, No. 05-042, January 2005.
      • 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
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      Alfaro, Laura, and Fabio Kanczuk. "Nominal versus Indexed Debt: A Quantitative Horse Race." Harvard Business School Working Paper, No. 05-053, January 2005. (Revised March 2010. Also NBER Working Paper No. 13131.)
      • 2004
      • Chapter

      Paradoxes of Trust: Empirical and Theoretical Departures from a Traditional Model

      By: J. Keith Murnighan, Deepak Malhotra and J. Mark Weber
      Keywords: Trust; Mathematical Methods
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      Murnighan, J. Keith, Deepak Malhotra, and J. Mark Weber. "Paradoxes of Trust: Empirical and Theoretical Departures from a Traditional Model." In Trust and Distrust in Organizations: Dilemmas and Approaches, edited by Roderick Kramer and Karen Cook. New York: Russell Sage Foundation, 2004.
      • January 2003 (Revised February 2011)
      • Tool

      Business Analysis and Valuation Model (Version 5)

      By: Paul M. Healy, Krishna G. Palepu and Jonathan Barnett
      Once you enter company financial statements, this software enables you to standardize them to a common format, make any needed adjustments to the company's accounting, and make assumptions about the company's future performance. The model then provides financial ratios... View Details
      Keywords: Financial Statements; Standards; Mathematical Methods; Valuation
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      "Business Analysis and Valuation Model (Version 5)." Harvard Business School Tool 103-701, January 2003. (Revised February 2011.)
      • January 2002
      • Background Note

      Note on Business Model Analysis for the Entrepreneur

      By: Richard G. Hamermesh, Paul W. Marshall and Taslim Pirmohamed
      Describes the primary elements and defining characteristics of a company's business model from the perspective of an entrepreneur. Introduces several analytic techniques and provides illustrative examples of business models to support the analytic framework presented. View Details
      Keywords: Business Model; Entrepreneurship; Framework; Mathematical Methods; Opportunities; Perspective
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      Hamermesh, Richard G., Paul W. Marshall, and Taslim Pirmohamed. "Note on Business Model Analysis for the Entrepreneur." Harvard Business School Background Note 802-048, January 2002.
      • 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
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      Musher, Joshua, and Andre F. Perold. "Grantham, Mayo, Van Otterloo & Co., 2001." Harvard Business School Case 202-049, January 2002. (Revised October 2007.)
      • 2001
      • Working Paper

      When Does the Market Matter? Stock Prices and the Investment of Equity Dependent Firms

      By: Malcolm Baker, Jeremy Stein and Jeffrey Wurgler
      We use a simple model of corporate investment to determine when investment will be sensitive to non-fundamental movements in stock prices. The key cross-sectional prediction of the model is that stock prices will have a stronger impact on the investment of firms that... View Details
      Keywords: Investment; Equity; Stocks; Price; Mathematical Methods; Forecasting and Prediction
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      Baker, Malcolm, Jeremy Stein, and Jeffrey Wurgler. "When Does the Market Matter? Stock Prices and the Investment of Equity Dependent Firms." NBER Working Paper Series, No. 8750, December 2001. (First draft in 2001.)
      • May 2000
      • Article

      Maxmin Expected Utility over Savage Acts with a Set of Priors

      By: Ramon Casadesus-Masanell, Peter Klibanoff and Emre Ozdenoren
      This paper provides an axiomatic foundation for a maxmin expected utility over a set of priors (MMEU) decision rule in an environment where the elements of choice are Savage acts. This characterization complements the original axiomatizations of MMEU developed in a... View Details
      Keywords: Uncertainty Aversion; Ambiguity; Expected Utility; Set Of Priors; Knightian Uncertainty; Decision Making; Game Theory; Risk and Uncertainty; Mathematical Methods
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      Casadesus-Masanell, Ramon, Peter Klibanoff, and Emre Ozdenoren. "Maxmin Expected Utility over Savage Acts with a Set of Priors." Journal of Economic Theory 92, no. 1 (May 2000): 35–65.
      • 1996
      • Thesis

      Limits on Interest Rate Rules in Macroeconomic Models Governed by Price Stickiness and Rational Expectations

      By: William R. Kerr
      Keywords: Interest Rates; Macroeconomics; Mathematical Methods
      Citation
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      Kerr, William R. "Limits on Interest Rate Rules in Macroeconomic Models Governed by Price Stickiness and Rational Expectations." Thesis, University of Virginia, 1996.
      • June 1994
      • Article

      Influence of Mathematical Models in Finance on Practice: Past, Present and Future

      By: Robert C. Merton
      Keywords: Mathematical Methods; Finance
      Citation
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      Merton, Robert C. "Influence of Mathematical Models in Finance on Practice: Past, Present and Future." Series A. Philosophical Transactions of the Royal Society of London, Series A, Physical Sciences and Engineering 347 (June 1994): 451–463. (Reprinted in Financial Practice and Education, spring 1995.)
      • March 1992 (Revised June 1992)
      • Background Note

      Strategic Industry Model: Emergent Technologies

      By: Robert J. Dolan
      Describes computer model and output from conjoint analysis and perceptual mapping for product line planning. View Details
      Keywords: Mathematical Methods; Product Marketing
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      Dolan, Robert J. "Strategic Industry Model: Emergent Technologies." Harvard Business School Background Note 592-086, March 1992. (Revised June 1992.)
      • 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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      Faulhaber, Gerald R., and Dennis A. Yao. "Fly-by-Night Firms and the Market for Product Reviews." Journal of Industrial Economics 38, no. 1 (September 1989): 65–77. (Harvard users click here for full text.)
      • 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.)
      • December 1988
      • Article

      Strategic Responses to Automobile Emissions Control: A Game-Theoretic Analysis

      By: Dennis Yao
      This paper examines the dynamics of standard-setting regulation under technological uncertainty and asymmetric information about technological capability. A two-period model which allows fully strategic action is developed and applied to the regulation of automobile... View Details
      Keywords: Transportation; Pollutants; Standards; Governance Controls; Technological Innovation; Research and Development; Mathematical Methods
      Citation
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      Yao, Dennis. "Strategic Responses to Automobile Emissions Control: A Game-Theoretic Analysis." Journal of Environmental Economics and Management 15 (December 1988): 419–438. (Harvard users click here for full text.)
      • 1987
      • Chapter

      Continuous-Time Stochastic Models

      By: Robert C. Merton
      Keywords: Mathematical Methods
      Citation
      Related
      Merton, Robert C. "Continuous-Time Stochastic Models." In The New Palgrave: A Dictionary of Economic Theory and Doctrine, edited by John Eatwell, Murray Milgate, and Peter Newman. London: Macmillan Press, 1987. (Revised in The New Palgrave Dictionary of Money and Finance, London: MacMillan Press, Ltd., 1992.)
      • spring 1987
      • Article

      Second-Sourcing and the Experience Curve: Price Competition in Defense Procurement

      By: James J. Anton and Dennis A. Yao
      We examine a dynamic model of price competition in defense procurement that incorporates the experience curve, asymmetric cost information, and the availability of a higher cost alternative system. We model acquisition as a two-stage process in which initial production... View Details
      Keywords: Acquisition; Government and Politics; Price; Competition; Mathematical Methods
      Citation
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      Anton, James J., and Dennis A. Yao. "Second-Sourcing and the Experience Curve: Price Competition in Defense Procurement." RAND Journal of Economics 18, no. 1 (spring 1987): 57–76. (Harvard users click here for full text.)
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