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      Mathematical MethodsRemove Mathematical Methods →

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      • 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 2003 (Revised January 2008)
      • Case

      The British Motorcycle Industry at a Crossroads

      By: Jan W. Rivkin
      By 1975, the collapse of the British motorcycle industry is nearly complete. Only one British manufacturer, NVT, remains in operation. In this setting, the British government commissions the Boston Consulting Group to identify and evaluate strategic alternatives for... View Details
      Keywords: Cost; Industry Structures; Business and Government Relations; Mathematical Methods; Competition; Consulting Industry; Manufacturing Industry; Motorcycle Industry; Great Britain
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      Rivkin, Jan W. "The British Motorcycle Industry at a Crossroads." Harvard Business School Case 703-031, January 2003. (Revised January 2008.)
      • November 2002 (Revised March 2010)
      • Case

      The Newsprint Industry

      By: Ramon Casadesus-Masanell, Nabil I. Al-Najjar and James Pyke
      Describes the 1990s consolidation on the newsprint industry. Questions whether consolidation will ever deliver on its promise. Whereas some industry observers maintain that the effects of consolidation are already visible, others argue that further consolidation is... View Details
      Keywords: Five Forces Framework; Duopoly and Oligopoly; Monopoly; Mathematical Methods; Competition; Consolidation; Pulp and Paper Industry
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      Casadesus-Masanell, Ramon, Nabil I. Al-Najjar, and James Pyke. "The Newsprint Industry." Harvard Business School Case 703-404, November 2002. (Revised March 2010.)
      • 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
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      Hammond, Janice H. "Luster Paint Corporation, The." Harvard Business School Exercise 603-078, October 2002.
      • 2002
      • Chapter

      Foundations of Strategic Equilibria

      By: John Hillas and Elon Kohlberg
      Keywords: Strategy; Mathematical Methods
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      Hillas, John, and Elon Kohlberg. "Foundations of Strategic Equilibria." In Handbook of Game Theory, edited by Robert J. Aumann and Sergiu Hart. Elsevier Science, 2002.
      • July 2002
      • Article

      The Economist As Engineer: Game Theory, Experimental Economics and Computation As Tools of Design Economics

      By: Alvin E Roth
      Keywords: Game Theory; Economics; Mathematical Methods; Design
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      Roth, Alvin E. "The Economist As Engineer: Game Theory, Experimental Economics and Computation As Tools of Design Economics." Econometrica 70, no. 4 (July 2002): 1341–1378.
      • 2002
      • Chapter

      Future Possibilities in Finance Theory and Finance Practice

      By: Robert C. Merton
      Keywords: Finance; Mathematical Methods; Practice
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      Merton, Robert C. "Future Possibilities in Finance Theory and Finance Practice." In Mathematical Finance - Bachelier Congress 2000, edited by H. Geman, D. Madan, S. Pliska, and T. Vorst. Berlin: Springer-Verlag, 2002. (Was HBS Working Paper 01-030.)
      • 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.)
      • December 2001 (Revised April 2003)
      • Case

      Delays at Logan Airport

      By: V.G. Narayanan and George Batta
      Logan Airport is facing mounting delays for flights landings and takeoffs, especially in inclement weather. An additional runway and peak-period pricing are two alternatives being considered. View Details
      Keywords: Price; Problems and Challenges; Decision Making; Mathematical Methods; Air Transportation Industry; Service Industry; Boston
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      Narayanan, V.G., and George Batta. "Delays at Logan Airport." Harvard Business School Case 102-011, December 2001. (Revised April 2003.)
      • December 2001 (Revised May 2003)
      • Background Note

      Queueing Theory

      By: V.G. Narayanan and George Batta
      Explains the assumptions behind and the insights from a simple queueing model. View Details
      Keywords: Mathematical Methods; Theory; Management Analysis, Tools, and Techniques; Motivation and Incentives; Service Delivery
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      Narayanan, V.G., and George Batta. "Queueing Theory." Harvard Business School Background Note 102-023, December 2001. (Revised May 2003.)
      • 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.)
      • November 2001 (Revised October 2017)
      • Case

      GuestFirst Hotel (A): Customer Loyalty

      By: Frances X. Frei and Dennis Campbell
      Provides a hotel context in which to explore the link between customer loyalty and financial performance, using four years of hotel data. Challenges students to find the extent of the relationship between loyalty and performance. View Details
      Keywords: Motivation and Incentives; Mathematical Methods; Finance; Performance; Relationships; Customer Focus and Relationships; Data and Data Sets; Accommodations Industry
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      Frei, Frances X., and Dennis Campbell. "GuestFirst Hotel (A): Customer Loyalty." Harvard Business School Case 602-099, November 2001. (Revised October 2017.)
      • October 2001 (Revised October 2017)
      • Case

      Store24 (A): Managing Employee Retention

      By: Frances X. Frei and Dennis Campbell
      Provides a retailing context in which employee retention strategies are explored through analyzing detailed store-level data. View Details
      Keywords: Retention; Management Analysis, Tools, and Techniques; Analytics and Data Science; Strategy; Mathematical Methods; Retail Industry
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      Frei, Frances X., and Dennis Campbell. "Store24 (A): Managing Employee Retention." Harvard Business School Case 602-096, October 2001. (Revised October 2017.)
      • August 2001 (Revised July 2008)
      • Technical Note

      A Technical Note and Discussion on Real Estate Valuation (IBET): Back of the Envelope (BOE) on Bonhomme Place: A Case within a Case

      By: Arthur I Segel
      Discusses real estate valuation. Reviews "back of the envelope" valuation; real estate appraisal methods, including the income method; market comparables and replacement costs; and more complex computer modeling. Also discusses other variables that could influence... View Details
      Keywords: Investment Funds; Mathematical Methods; Valuation; Real Estate Industry
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      Segel, Arthur I. "A Technical Note and Discussion on Real Estate Valuation (IBET): Back of the Envelope (BOE) on Bonhomme Place: A Case within a Case." Harvard Business School Technical Note 802-025, August 2001. (Revised July 2008.)
      • October 2000 (Revised April 2001)
      • Case

      Cost of Capital at Ameritrade

      By: Mark L. Mitchell and Erik Stafford
      Ameritrade Holding Corp. is planning large marketing and technology investments to improve the company's competitive position in deep-discount brokerage by taking advantage of emerging economies of scale. In order to evaluate whether the strategy would generate... View Details
      Keywords: Developing Countries and Economies; Asset Pricing; Cash Flow; Cost of Capital; Investment; Marketing; Mathematical Methods; Competition; Information Technology; Internet and the Web; Financial Services Industry
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      Mitchell, Mark L., and Erik Stafford. "Cost of Capital at Ameritrade." Harvard Business School Case 201-046, October 2000. (Revised April 2001.)
      • October 2000 (Revised March 2004)
      • Background Note

      Variance Analysis and Flexible Budgeting

      By: Robert S. Kaplan
      Facilitates the teaching of cases on variance analysis and flexible budgeting. Uses algebra, diagrams, and numerical examples to illustrate the calculation of price, quantity, and mix variances for revenues and costs, and a flexible budget for analyzing indirect and... View Details
      Keywords: Cost; Price; Mathematical Methods; Revenue; Budgets and Budgeting
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      Kaplan, Robert S. "Variance Analysis and Flexible Budgeting." Harvard Business School Background Note 101-039, October 2000. (Revised March 2004.)
      • August 2000 (Revised September 2000)
      • Case

      Extraprise

      By: Srikant M. Datar, Krishna G. Palepu and Sarah S. Khetani
      In the three years since it was founded, the Boston-based Internet strategy consulting firm, Extraprise, has changed its strategy three times. Jennifer Gabler, the CFO, considers what kinds of control systems she can put in place to ensure the company can continue to... View Details
      Keywords: Information Management; Management Analysis, Tools, and Techniques; Mathematical Methods; Information Technology; Outcome or Result; Business Growth and Maturation; Growth and Development Strategy; Web Services Industry; Information Technology Industry; Boston
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      Datar, Srikant M., Krishna G. Palepu, and Sarah S. Khetani. "Extraprise." Harvard Business School Case 101-001, August 2000. (Revised September 2000.)
      • 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.
      • January 2000
      • Article

      Maxmin Expected Utility through Statewise Combinations

      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. The key axioms are stated using statewise combinations as in Gul (1992). View Details
      Keywords: Decision Choices and Conditions; Mathematical Methods
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      Casadesus-Masanell, Ramon, Peter Klibanoff, and Emre Ozdenoren. "Maxmin Expected Utility through Statewise Combinations." Economics Letters 66, no. 1 (January 2000): 49–54.
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