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      Mathematical MethodsRemove Mathematical Methods →

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      • August 2005 (Revised April 2008)
      • Teaching Note

      GuestFirst Hotel (B): Statistics Review with Data Desk (TN)

      By: Frances X. Frei
      Presents an overview of the statistical analysis covered in the case discussion. View Details
      Keywords: Mathematical Methods; Accommodations Industry
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      Frei, Frances X. "GuestFirst Hotel (B): Statistics Review with Data Desk (TN)." Harvard Business School Teaching Note 606-039, August 2005. (Revised April 2008.)
      • August 2005 (Revised April 2008)
      • Teaching Note

      Store24 (A): Statistics Review with Data Desk (TN)

      By: Frances X. Frei
      Presents an overview of the statistical analysis covered in the case discussion. View Details
      Keywords: Mathematical Methods; Retail Industry
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      Frei, Frances X. "Store24 (A): Statistics Review with Data Desk (TN)." Harvard Business School Teaching Note 606-036, August 2005. (Revised April 2008.)
      • August 2005 (Revised April 2008)
      • Teaching Note

      Store24 (B): Statistics Review with Data Desk (TN)

      By: Frances X. Frei
      Presents an overview of the statistical analysis covered in the case discussion. View Details
      Keywords: Mathematical Methods; Retail Industry
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      Frei, Frances X. "Store24 (B): Statistics Review with Data Desk (TN)." Harvard Business School Teaching Note 606-037, August 2005. (Revised April 2008.)
      • August 2005 (Revised September 2006)
      • Case

      Polyphonic HMI: Mixing Music and Math

      By: Anita Elberse, Jehoshua Eliashberg and Julian Villanueva
      In 2003, Mike McCready, CEO of Barcelona-based Polyphonic HMI, was preparing to launch an artificial intelligence tool that could create significant value for music businesses. The technology, referred to as Hit Song Science (HSS), analyzed the mathematical... View Details
      Keywords: Forecasting and Prediction; Music Entertainment; Business History; Leadership; Marketing Strategy; Strategic Planning; Problems and Challenges; Mathematical Methods; Entertainment and Recreation Industry
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      Elberse, Anita, Jehoshua Eliashberg, and Julian Villanueva. "Polyphonic HMI: Mixing Music and Math." Harvard Business School Case 506-009, August 2005. (Revised September 2006.) (Spanish version also available.)
      • June 2005 (Revised March 2006)
      • Case

      E Ink in 2005

      By: David B. Yoffie and Barbara Mack
      Explores the challenges of commercializing a bleeding-edge technology. After seven years, E Ink has spent more than $100 million to commercialize electronic ink. With business momentum picking up, but resources running out, the case examines the key trade-offs in... View Details
      Keywords: Technological Innovation; Commercialization; Mathematical Methods; Consumer Products Industry; Technology Industry
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      Yoffie, David B., and Barbara Mack. "E Ink in 2005." Harvard Business School Case 705-506, June 2005. (Revised March 2006.)
      • 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.)
      • February 2005
      • Article

      An Econometric Analysis of Inventory Turnover Performance in Retail Services

      By: Vishal Gaur, Marshall L. Fisher and Ananth Raman
      Keywords: Mathematical Methods; Assets; Performance; Sales; Retail Industry
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      Gaur, Vishal, Marshall L. Fisher, and Ananth Raman. "An Econometric Analysis of Inventory Turnover Performance in Retail Services." Management Science 51, no. 2 (February 2005): 181–194.
      • February 2005 (Revised March 2005)
      • Background Note

      Simple Regression Mathematics

      By: Frances X. Frei and Dennis Campbell
      Describes the underlying mathematics of regression. View Details
      Keywords: Mathematical Methods
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      Frei, Frances X., and Dennis Campbell. "Simple Regression Mathematics." Harvard Business School Background Note 605-061, February 2005. (Revised March 2005.)
      • February 2005 (Revised November 2006)
      • Background Note

      Using Data Desk for Statistical Analysis

      By: Frances X. Frei and Dennis Campbell
      Describes how to use the Data Desk software package to perform statistical analysis. View Details
      Keywords: Mathematical Methods
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      Frei, Frances X., and Dennis Campbell. "Using Data Desk for Statistical Analysis." Harvard Business School Background Note 605-060, February 2005. (Revised November 2006.)
      • 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.)
      • 2005
      • Working Paper

      Pseudo Market Timing and Predictive Regressions

      By: Malcolm Baker, Ryan Taliaferro and Jeffrey Wurgler
      A number of studies claim that aggregate managerial decision variables, such as aggregate equity issuance, have power to predict stock or bond market returns. Recent research argues that these results may be driven by an aggregate time-series version of Schultz's... View Details
      Keywords: Managerial Roles; Equity; Market Timing; Financial Instruments; Investment Return; Mathematical Methods
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      Baker, Malcolm, Ryan Taliaferro, and Jeffrey Wurgler. "Pseudo Market Timing and Predictive Regressions." NBER Working Paper Series, No. 10823, January 2005. (First Draft in 2004.)
      • November 2004 (Revised April 2005)
      • Background Note

      Math for Strategists

      By: Tarun Khanna and Jan W. Rivkin
      Great strategists rely heavily on numbers as they go about their work. Offers an overview of the high- and low-brow quantitative tools that students encounter during the Strategy course. The class explores high-brow tools in detail; the focus here is on low-brow... View Details
      Keywords: Mathematical Methods; Strategy
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      Khanna, Tarun, and Jan W. Rivkin. "Math for Strategists." Harvard Business School Background Note 705-433, November 2004. (Revised April 2005.)
      • October 2004 (Revised May 2006)
      • Case

      Wells REIT II

      By: Arthur I Segel and Dwight Angelini
      Dr. Richard Planter, a dentist, asks his financial adviser, Michael Saris, to review an offering memorandum for a new, private real estate investment trust. After reviewing the documents, Saris needs to develop an analytical framework and provide concrete advice... View Details
      Keywords: Finance; Investment; Framework; Private Ownership; Mathematical Methods; Real Estate Industry
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      Segel, Arthur I., and Dwight Angelini. "Wells REIT II." Harvard Business School Case 205-019, October 2004. (Revised May 2006.)
      • 2004
      • Other Unpublished Work

      Long-Horizon Mean-Variance Analysis: A User Guide

      By: Luis M. Viceira and John Y. Campbell
      Keywords: Mathematical Methods
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      Viceira, Luis M., and John Y. Campbell. "Long-Horizon Mean-Variance Analysis: A User Guide." September 2004.
      • 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.
      • March 2004
      • Tutorial

      HBS Quantitative Analysis Course

      By: Janice H. Hammond
      Keywords: Mathematical Methods
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      "HBS Quantitative Analysis Course." Harvard Business School Tutorial 604-702, March 2004.
      • February 2004
      • Case

      Bradman and Tendulkar, LLC

      By: Ananth Raman and Vishal Gaur
      An investment firm is trying to project inventory turns for Radio Shack, a chain of consumer electronics stores. The investment firm has access to public financial data but not to internal operational metrics. It needs to project inventory turns because inventory... View Details
      Keywords: Forecasting and Prediction; Cash Flow; Demand and Consumers; Distribution Channels; Mathematical Methods; Valuation
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      Raman, Ananth, and Vishal Gaur. "Bradman and Tendulkar, LLC." Harvard Business School Case 604-085, February 2004.
      • January 2004 (Revised March 2005)
      • Case

      Valuation Ratios in the Restaurant Industry

      By: Paul M. Healy and Krishna G. Palepu
      Examines factors underlying differences in valuation multiples (price-earnings and price-to-book) across four firms in the restaurant industry. View Details
      Keywords: Business Earnings; Valuation; Mathematical Methods; Food and Beverage Industry
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      Healy, Paul M., and Krishna G. Palepu. "Valuation Ratios in the Restaurant Industry." Harvard Business School Case 104-066, January 2004. (Revised March 2005.)
      • August 2003 (Revised May 2009)
      • Background Note

      Basic Venture Capital Formula, The

      By: William A. Sahlman and Matthew Willis
      Briefly summarizes the process that venture capitalists use to analyze high-risk, long-term investments. Contains information on methods that can be used to calculate valuation, share price, percent ownership, implied valuation, dilution, and option pools. View Details
      Keywords: Venture Capital; Risk Management; Mathematical Methods; Valuation
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      Sahlman, William A., and Matthew Willis. "Basic Venture Capital Formula, The." Harvard Business School Background Note 804-042, August 2003. (Revised May 2009.)
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