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      Mathematical MethodsRemove Mathematical Methods →

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      • March 2011 (Revised November 2011)
      • Case

      Harmonic Hearing Co.

      By: Howard H. Stevenson and Craig H. Stephenson
      Harmonic is a small, privately held manufacturer of hearing aids. Harriet Burns and Marc Davis, two employees at Harmonic, have an opportunity to purchase the company from the founder. As well-informed insiders who understand the industry, Burns and Davis believe the... View Details
      Keywords: Debts; Quantitative Analysis; Financing; Entrepreneurial Finance; Development Stage Enterprises; Small & Medium-sized Enterprises; Small Business; Business Growth and Maturation; Cash Flow; Mathematical Methods; Entrepreneurship; Financing and Loans; Borrowing and Debt; Equity; Manufacturing Industry
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      Stevenson, Howard H., and Craig H. Stephenson. "Harmonic Hearing Co." Harvard Business School Brief Case 114-271, March 2011. (Revised November 2011.)
      • March 2011 (Revised November 2011)
      • Teaching Note

      Harmonic Hearing Co. (Brief Case)

      By: Howard H. Stevenson and Craig Stephenson
      Teaching Note for 4271. View Details
      Keywords: Debts; Quantitative Analysis; Financing; Entrepreneurial Finance; Development Stage Enterprises; Small & Medium-sized Enterprises; Cash Flow; Mathematical Methods; Entrepreneurship; Financing and Loans; Borrowing and Debt
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      Stevenson, Howard H., and Craig Stephenson. "Harmonic Hearing Co. (Brief Case)." Harvard Business School Teaching Note 114-272, March 2011. (Revised November 2011.)
      • March 2011 (Revised April 2021)
      • Case

      The Whiz Kids

      By: Tom Nicholas and David Chen
      In October 1945, Henry Ford II received a telegram in his office at the Ford Motor Company in Dearborn, Michigan written by Charles "Tex" Thornton, a U.S. Air Force colonel. The telegram presented an opportunity for Ford to deploy a system of statistical control which... View Details
      Keywords: Ford Motor Company; Statistical Control; Management Systems; Accounting; Operations; Strategy; Mathematical Methods; Auto Industry; United States
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      Nicholas, Tom, and David Chen. "The Whiz Kids." Harvard Business School Case 811-042, March 2011. (Revised April 2021.)
      • Article

      An Exploration of Optimal Stabilization Policy

      By: N. Gregory Mankiw and Matthew C. Weinzierl
      This paper examines the optimal response of monetary and fiscal policy to a decline in aggregate demand. The theoretical framework is a two-period general equilibrium model in which prices are sticky in the short-run and flexible in the long-run. Policy is evaluated by... View Details
      Keywords: Fiscal Policy; Monetary Policy; Economic Models; Aggregate Demand; Demand and Consumers; Money; Mathematical Methods; Taxation; Spending; Policy; Welfare; Household; Economic Slowdown and Stagnation
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      Mankiw, N. Gregory, and Matthew C. Weinzierl. "An Exploration of Optimal Stabilization Policy." Brookings Papers on Economic Activity (Spring 2011). (Also Harvard Business School Working Paper, No. 11-113, May 2011 and NBER Working Paper Series, No. 17029, May 2011.)
      • January 2011 (Revised January 2015)
      • Case

      Matrix Capital Management (A)

      By: Malcolm P. Baker and David Lane
      Ben Balbale, a partner at hedge fund Matrix Capital, must decide whether to exit their investment in Rovi Corporation, a company with a diverse portfolio of patents used primarily for digital interactive guides. Rovi's shares are up over 50% from the time Balbale... View Details
      Keywords: Forecasting and Prediction; Asset Management; Cash Flow; Stock Shares; Financial Markets; Investment Funds; Measurement and Metrics; Mathematical Methods; Strategy; Valuation; Financial Services Industry
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      Baker, Malcolm P., and David Lane. "Matrix Capital Management (A)." Harvard Business School Case 211-017, January 2011. (Revised January 2015.)
      • January 2011
      • Teaching Note

      AIC Netbooks: Optimizing Product Assembly (Brief Case)

      By: Steven C. Wheelwright and Sunru Yong
      Teaching Note for 4245. View Details
      Keywords: Performance Management; Quantitative Analysis; Manufacturing; Production Planning; Production Management; Production; Mathematical Methods; Performance Evaluation; Planning; Manufacturing Industry
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      Wheelwright, Steven C., and Sunru Yong. "AIC Netbooks: Optimizing Product Assembly (Brief Case)." Harvard Business School Teaching Note 114-246, January 2011.
      • 2012
      • Working Paper

      Issuer Quality and Corporate Bond Returns

      By: Robin Greenwood and Samuel G. Hanson
      We show that the credit quality of corporate debt issuers deteriorates during credit booms, and that this deterioration forecasts low excess returns to corporate bondholders. The key insight is that changes in the pricing of credit risk disproportionately affect the... View Details
      Keywords: Price; Credit; Risk and Uncertainty; Investment Return; Forecasting and Prediction; Bonds; Market Design; Cost of Capital; Mathematical Methods; System Shocks
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      Greenwood, Robin, and Samuel G. Hanson. "Issuer Quality and Corporate Bond Returns." Harvard Business School Working Paper, No. 11-065, January 2011. (Revised September 2012, Internet Appendix Here.)
      • September 2010
      • Supplement

      Compass Maritime Services, LLC: Valuing Ships (CW)

      By: Benjamin C. Esty and Albert W. Sheen
      Tom Roberts, a founding partner of Compass Maritime Services, a New Jersey-based shipping research and consulting firm, has been asked by a new potential customer in May 2008 for advice on purchasing a capesize bulk carrier. After identifying a suitable ship with his... View Details
      Keywords: Acquisition; Decisions; Microeconomics; Finance; Price; Management Analysis, Tools, and Techniques; Market Transactions; Partners and Partnerships; Mathematical Methods; Valuation; Consulting Industry; New Jersey
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      Esty, Benjamin C., and Albert W. Sheen. "Compass Maritime Services, LLC: Valuing Ships (CW)." Harvard Business School Spreadsheet Supplement 211-702, September 2010.
      • September 2010 (Revised December 2010)
      • Case

      Compass Maritime Services, LLC: Valuing Ships

      By: Benjamin C. Esty and Albert W. Sheen
      Tom Roberts, a founding partner of Compass Maritime Services, a New Jersey-based shipping research and consulting firm, has been asked by a new potential customer in May 2008 for advice on purchasing a capesize bulk carrier. After identifying a suitable ship with his... View Details
      Keywords: Decision Choices and Conditions; Judgments; Price; Management Analysis, Tools, and Techniques; Negotiation Offer; Mathematical Methods; Ship Transportation; Valuation; Consulting Industry; Shipping Industry
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      Esty, Benjamin C., and Albert W. Sheen. "Compass Maritime Services, LLC: Valuing Ships." Harvard Business School Case 211-014, September 2010. (Revised December 2010.)
      • September 2010 (Revised November 2010)
      • Case

      J.P. Morgan Private Bank: Risk Management during the Financial Crisis 2008-2009

      By: Anette Mikes, Clayton S. Rose and Aldo Sesia
      Mary Erdoes, the CEO of JP Morgan's asset management business, and three colleagues provide insights into risk management issues faced by the firm's private bank during the financial crisis in 2008–2009. The case provides perspective on the philosophy with which they... View Details
      Keywords: Judgments; Financial Crisis; Globalized Firms and Management; Management Analysis, Tools, and Techniques; Risk Management; Mathematical Methods; Banking Industry; United States
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      Mikes, Anette, Clayton S. Rose, and Aldo Sesia. "J.P. Morgan Private Bank: Risk Management during the Financial Crisis 2008-2009." Harvard Business School Case 311-003, September 2010. (Revised November 2010.)
      • September 2010
      • Article

      Do Inventory and Gross Margin Data Improve Sales Forecasts for U.S. Public Retailers?

      By: Saravanan Kesavan, Vishal Gaur and Ananth Raman
      Firm-level sales forecasts for retailers can be improved if we incorporate cost of goods sold, inventory, and gross margin (defined here as the ratio of sales to cost of goods sold) as three endogenous variables. We construct a simultaneous equations model, estimated... View Details
      Keywords: Sales; Forecasting and Prediction; Distribution; Goods and Commodities; Cost; Public Sector; Profit; Mathematical Methods; Analytics and Data Science; Retail Industry; United States
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      Kesavan, Saravanan, Vishal Gaur, and Ananth Raman. "Do Inventory and Gross Margin Data Improve Sales Forecasts for U.S. Public Retailers?" Management Science 56, no. 9 (September 2010): 1519–1533.
      • July 2010
      • Supplement

      Marketing Analysis Toolkit: Customer Lifetime Value Analysis (CW)

      By: Thomas J. Steenburgh and Jill Avery
      Customers are increasingly being viewed as assets that bring value to the firm. Customer lifetime value is a metric which allows managers to understand the overall value of their customer base and relate it to three customer strategies firms employ: asset acquisition -... View Details
      Keywords: Competency and Skills; Customer Relationship Management; Customer Value and Value Chain; Decisions; Framework; Management Practices and Processes; Marketing; Marketing Strategy; Strategic Planning; Mathematical Methods; Value
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      Steenburgh, Thomas J., and Jill Avery. "Marketing Analysis Toolkit: Customer Lifetime Value Analysis (CW)." Harvard Business School Spreadsheet Supplement 511-702, July 2010.
      • July 2010
      • Supplement

      Marketing Analysis Toolkit: Pricing and Profitability Analysis (CW)

      By: Thomas J. Steenburgh and Jill Avery
      Pricing is one of the most difficult decisions marketers make and the one with the most direct and immediate impact on the firm's financial position. This toolkit will introduce the fundamental terminology and calculations associated with pricing and profitability... View Details
      Keywords: Management Analysis, Tools, and Techniques; Marketing Strategy; Decisions; Strategic Planning; Price; Partners and Partnerships; Cost; Demand and Consumers; Revenue; Profit; Mathematical Methods; Measurement and Metrics
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      Steenburgh, Thomas J., and Jill Avery. "Marketing Analysis Toolkit: Pricing and Profitability Analysis (CW)." Harvard Business School Spreadsheet Supplement 511-701, July 2010.
      • July 2010 (Revised December 2011)
      • Background Note

      Marketing Analysis Toolkit: Pricing and Profitability Analysis

      By: Thomas J. Steenburgh and Jill Avery
      Pricing is one of the most difficult decisions marketers make and the one with the most direct and immediate impact on the firm's financial position. This toolkit will introduce the fundamental terminology and calculations associated with pricing and profitability... View Details
      Keywords: Forecasting and Prediction; Price; Profit; Management Analysis, Tools, and Techniques; Marketing Strategy; Demand and Consumers; Measurement and Metrics; Strategic Planning; Mathematical Methods; Retail Industry
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      Steenburgh, Thomas J., and Jill Avery. "Marketing Analysis Toolkit: Pricing and Profitability Analysis." Harvard Business School Background Note 511-028, July 2010. (Revised December 2011.)
      • July 2010 (Revised August 2012)
      • Supplement

      Assistant Professor Jo Worthington (B)

      By: Dorothy A. Leonard
      A professor teaching a case discussion based on numeric analysis is pleased that a student finally "cracks" the case--but the numbers differ from her own. The instructor has to decide how to handle the discrepancy. View Details
      Keywords: Interpersonal Communication; Teaching; Cases; Mathematical Methods; Conflict Management
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      Leonard, Dorothy A. "Assistant Professor Jo Worthington (B)." Harvard Business School Supplement 911-405, July 2010. (Revised August 2012.)
      • 2010
      • Case

      Playa Dorado

      By: W. Earl Sasser
      Playa Dorada Beach & Resort in Boca Raton, Florida, faces a growing seasonal demand for tennis services. The number of guests is expected to double in the next few years, and while the tennis facilities are a popular and well-promoted amenity at the resort, court space... View Details
      Keywords: Demand and Consumers; Management Analysis, Tools, and Techniques; Expansion; Planning; Mathematical Methods; Price; Profit; Sales; Operations; Growth and Development Strategy; Marketing; Performance Capacity; Accommodations Industry; Florida
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      Sasser, W. Earl. "Playa Dorado." Watertown, MA: Harvard Business Publishing Case, 2010. (Brief Case.)
      • 2010
      • Book

      The New Science of Retailing: How Analytics Are Transforming the Supply Chain and Improving Performance

      By: Marshall Fisher and Ananth Raman
      Retailers today are drowning in data but lacking in insight: They have huge volumes of information at their disposal. But they're unsure of how to sort through it and use it to make smart decisions. The result? They're struggling with profit-sapping supply chain... View Details
      Keywords: Profit; Knowledge Use and Leverage; Logistics; Supply Chain Management; Mathematical Methods; Retail Industry
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      Fisher, Marshall, and Ananth Raman. The New Science of Retailing: How Analytics Are Transforming the Supply Chain and Improving Performance. Harvard Business Press, 2010.
      • 2010
      • Working Paper

      Trade Policy and Firm Boundaries

      By: Laura Alfaro, Paola Conconi, Harald Fadinger and Andrew F. Newman
      We study how trade policy affects firms' ownership structures. We embed an incomplete contracts model of vertical integration choices into a standard perfectly-competitive international trade framework. Integration decisions are driven by a trade-off between the... View Details
      Keywords: Trade; Policy; Vertical Integration; Business and Government Relations; Boundaries; Ownership; Mathematical Methods
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      Alfaro, Laura, Paola Conconi, Harald Fadinger, and Andrew F. Newman. "Trade Policy and Firm Boundaries." NBER Working Paper Series, No. 16118, June 2010.
      • May 2010
      • Teaching Note

      Flare Fragrances Company, Inc.: Analyzing Growth Opportunities (Brief Case)

      By: John A. Quelch and Lisa D. Donovan
      Teaching note to case #4550 View Details
      Keywords: Quantitative Analysis; Market Segmentation; Product Introduction; New Product Marketing; Product Lines; Product Positioning; Distribution; Mathematical Methods; Product Launch; Segmentation
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      Quelch, John A., and Lisa D. Donovan. "Flare Fragrances Company, Inc.: Analyzing Growth Opportunities (Brief Case)." Harvard Business School Teaching Note 104-551, May 2010.
      • May 2010
      • Article

      Bye Bye Bundles: The Unbundling of Music in Digital Channels

      By: Anita Elberse
      Fueled by digital distribution, unbundling is prevalent in many information industries. What is the effect of this unbundling on sales? And what bundle characteristics drive this effect? I empirically examine these questions in the context of the music industry, using... View Details
      Keywords: Unbundling; Bundling; Digital Distribution; System-of-equations Modeling; Sales; Distribution Channels; Framework; Mathematical Methods; Revenue; Reputation; Internet and the Web; System; E-commerce; Information Industry; Music Industry
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      Elberse, Anita. "Bye Bye Bundles: The Unbundling of Music in Digital Channels." Journal of Marketing 74, no. 3 (May 2010): 107–123.
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