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      Mathematical MethodsRemove Mathematical Methods →

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      • January 1990 (Revised February 1990)
      • Case

      MSA: The Software Company--Planning the AMAPs Product Line

      By: Robert J. Dolan
      MSA has commissioned a major market research study to assess demand potential for a computer software system designed for aerospace and defense contractors. Students must evaluate the results of the study (including a conjoint analysis) to assess whether MSA should... View Details
      Keywords: Product; Marketing; Mathematical Methods; Software
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      Dolan, Robert J. "MSA: The Software Company--Planning the AMAPs Product Line." Harvard Business School Case 590-069, January 1990. (Revised February 1990.)
      • November 1989 (Revised March 1992)
      • Background Note

      Concept Testing

      By: Robert J. Dolan
      Describes concept testing products. Presents guidelines for effective design, execution, and interpretation of test procedures. Discusses limitations of these techniques and sets out the situations for which they are appropriate. View Details
      Keywords: Marketing; Mathematical Methods; Forecasting and Prediction
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      Dolan, Robert J. "Concept Testing." Harvard Business School Background Note 590-063, November 1989. (Revised March 1992.)
      • Article

      Consistent Covariance Matrix Estimation with Cross-Sectional Dependence and Heteroskedasticity in Cross-Sectional Financial Data

      By: K. A. Froot
      Keywords: Econometrics; Panel Estimation; Autocorrelation; Heteroskedasticity; Mathematical Methods; Economics
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      Froot, K. A. "Consistent Covariance Matrix Estimation with Cross-Sectional Dependence and Heteroskedasticity in Cross-Sectional Financial Data." Journal of Financial and Quantitative Analysis 24, no. 3 (September 1989): 333–355. (Revised from NBER Technical Working Paper No. 62.)
      • 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
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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.)
      • 1988
      • Chapter

      Evaluation of Government Financial Incentives to Large Scale Energy Projects: A Contingent Claims Approach

      By: Carliss Y. Baldwin and Scott P. Mason
      Keywords: Energy; Projects; Motivation and Incentives; Sovereign Finance; Business and Government Relations; Mathematical Methods; Energy Industry
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      Baldwin, Carliss Y., and Scott P. Mason. "Evaluation of Government Financial Incentives to Large Scale Energy Projects: A Contingent Claims Approach." In Advances in Futures and Options Research. 3 vols. Edited by F. Fabozzi. JAI Press, 1988.
      • May 1988 (Revised June 2023)
      • Case

      National Cranberry Cooperative, 1996

      By: Roy D. Shapiro
      Describes the continuous flow process used to process cranberries into juice and/or sauce. Requires student to analyze process flows to determine where the bottlenecks are and to decide how, and whether, to expand capacity. Original version written by J.G. Miller and... View Details
      Keywords: Logistics; Performance Capacity; Performance Improvement; Supply Chain; Mathematical Methods; Cost vs Benefits; Production
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      Shapiro, Roy D. "National Cranberry Cooperative, 1996." Harvard Business School Case 688-122, May 1988. (Revised June 2023.)
      • May 1988
      • Background Note

      Roles and Relationships of Business and Government

      By: George C. Lodge
      Synthesizes a wide range of literature and experience concerning comparative government-business relations, focusing especially on Japan, Europe, and the United States with some references to Brazil and Mexico. Designed for discussion in two consecutive class sessions.... View Details
      Keywords: Economic Systems; Framework; Government and Politics; Mission and Purpose; Organizational Structure; Business and Government Relations; Mathematical Methods; System; Japan; Europe; Mexico; United States; Brazil
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      Lodge, George C. "Roles and Relationships of Business and Government." Harvard Business School Background Note 388-159, May 1988.
      • April 1988 (Revised October 1996)
      • Case

      Home Depot, Inc., The

      By: Krishna G. Palepu
      Home Depot, founded in 1978, pioneered the warehouse retailing concept in the home center industry. The company's niche strategy resulted in rapid growth in sales. By 1986, however, the company began experiencing deteriorating profitability. Students are asked to... View Details
      Keywords: Mathematical Methods; Performance; Business Strategy; Retail Industry
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      Palepu, Krishna G. "Home Depot, Inc., The." Harvard Business School Case 188-148, April 1988. (Revised October 1996.)
      • 1987
      • Chapter

      Continuous-Time Stochastic Models

      By: Robert C. Merton
      Keywords: Mathematical Methods
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      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.)
      • July 1987
      • Case

      Altoona Corp.: Computer Products Division

      By: Roger E. Bohn and Robert H. Hayes
      A relatively small manufacturer of computer memory disks has achieved a major market position through the use of its statistical quality control (SQC) program. It is now expanding the production of a new line of disks and is encountering problems getting the process... View Details
      Keywords: Factories, Labs, and Plants; Volatility; Performance Consistency; Performance Improvement; Performance Productivity; Quality; Mathematical Methods; Hardware; Manufacturing Industry
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      Bohn, Roger E., and Robert H. Hayes. "Altoona Corp.: Computer Products Division." Harvard Business School Case 688-010, July 1987.
      • 1987
      • Chapter

      On the Current State of the Stock Market Rationality Hypothesis

      By: Robert C. Merton
      Keywords: Financial Markets; Stocks; Mathematical Methods
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      Merton, Robert C. "On the Current State of the Stock Market Rationality Hypothesis." In Macroeconomics and Finance: Essays in Honor of Franco Modigliani, edited by R. Dornbusch, S. Fischer, and J. Bossons. Cambridge: MIT Press, 1987.
      • 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
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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.)
      • 1987
      • Chapter

      Laboratory Experimentation in Economics, and Its Relation to Economic Theory

      By: A. E. Roth
      Keywords: Economics; Mathematical Methods
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      Roth, A. E. "Laboratory Experimentation in Economics, and Its Relation to Economic Theory." In Scientific Inquiry in Philosophical Perspective, edited by Nicholas Rescher, 147–167. Lanham: University Press of America, Inc., 1987.
      • 1986
      • Chapter

      Quantitative Models for Management Accounting in Today's Production Environment

      By: Robert S. Kaplan
      Keywords: Accounting; Mathematical Methods
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      Kaplan, Robert S. "Quantitative Models for Management Accounting in Today's Production Environment." Chap. 7 in Research & Current Issues in Management Accounting, edited by M. Bromwich and A. Hopwood, 103–115. Pitman Publishing, 1986.
      • July 1985 (Revised March 1994)
      • Background Note

      Exposure and Hedging

      By: David E. Bell
      Describes the concept of exposure; the dependence of a goal on an uncertain external event. Describes in detail how hedges may be constructed to eliminate exposure, including the algebra of cross-hedging and hedge ratios. The relevance of regression analysis is... View Details
      Keywords: Mathematical Methods; Finance
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      Bell, David E. "Exposure and Hedging." Harvard Business School Background Note 186-036, July 1985. (Revised March 1994.)
      • 1985
      • Chapter

      The Role of Contingent Claims Analysis in Corporate Finance

      By: Scott P. Mason and Robert C. Merton
      Keywords: Mathematical Methods; Corporate Finance
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      Mason, Scott P., and Robert C. Merton. "The Role of Contingent Claims Analysis in Corporate Finance." In Recent Advances in Corporate Finance, edited by E. I. Altman and M. G. Subrahmanyam. Homewood, IL: Richard D. Irwin, 1985.
      • September 1984
      • Background Note

      Marketing Research: An Overview of Research Methods

      By: Robert J. Dolan
      Broadly describes the scope of marketing research, and describes experiments, non-survey methods, and internal data. View Details
      Keywords: Marketing Strategy; Mathematical Methods
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      Dolan, Robert J. "Marketing Research: An Overview of Research Methods." Harvard Business School Background Note 585-039, September 1984.
      • May 1984 (Revised September 1986)
      • Background Note

      Basic Quantitative Analysis for Marketing

      By: Robert J. Dolan
      Shows how to calculate and use the break-even volume in marketing decision making. View Details
      Keywords: Marketing Strategy; Mathematical Methods
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      Dolan, Robert J. "Basic Quantitative Analysis for Marketing." Harvard Business School Background Note 584-149, May 1984. (Revised September 1986.)
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