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June 2005 (Revised November 2006)
Background Note

Valuation Methods and Discount Rate Issues: A Comprehensive Example

By: Marc L. Bertoneche and Fausto Federicic

Presents a comprehensive review of the valuation methods based on discounting cash flows or value creation metrics and shows, through simple example and a straightforward "how-to-do" framework, the perfect consistency and identity of their results under similar... View Details

Keywords: Valuation

April 1999 (Revised September 2001)
Case

Penelope's Personal Pocket Phones

By: Paul A. Gompers

Provides students with an opportunity to use simple real options analysis to value a startup. Penelope Phillips is deciding whether to start a company to make wireless phones. Students get experience using traditional discounted cash flow valuation and a real options... View Details

Keywords: Valuation; Entrepreneurship; Business Startups; Mobile and Wireless Technology; Capital Budgeting; Corporate Finance; Manufacturing Industry; Electronics Industry

September 2003
Case

Valuing a Cross-Border LBO: Bidding on the Yell Group

By: Mihir A. Desai, Paolo Notarnicola and Mark Veblen

A team of private equity investors must value the leveraged buyout of a Yellow Pages business that operated in both the United States and the United Kingdom. In the process, they must wrestle with issues of how to conduct cross-border valuations and how to value a... View Details

Keywords: Leveraged Buyouts; Cash Flow; Private Equity; Cross-Cultural and Cross-Border Issues; Valuation

June 2017
Case

AT&T Versus Verizon: A Financial Comparison

By: V.G. Narayanan and Joel L. Heilprin

This case asks students to prepare a report comparing the financial and operating performance of AT&T and Verizon. Taking the perspective of a communications industry analyst, they must also consider the differences between and implications of the companies' business... View Details

Keywords: Financial Statements; Operations; Analysis; Business Model; Accounting; Performance Effectiveness; Telecommunications Industry

March 2001
Background Note

Extracting Information from the Futures and Forwards Markets: The Relation between Spot Prices, Forward Prices and Expected Future Spot Prices

Discounted cash flow valuation calls for using expected future prices of inputs or outputs. This case describes the relationship between spot prices, forward/future prices, and expected future prices. Knowing current forward and future prices alone is not enough to... View Details

Keywords: Price; Cash Flow; Valuation; Futures and Commodity Futures

November 2011 (Revised December 2013)
Case

The Long and Short of Apollo Group and the University of Phoenix (A)

By: Luis M. Viceira, Joel Heilprin, Andrew S. Holmes and Damian M. Zajac

A hedge fund is deciding whether to liquidate its position in Apollo Group, a for-profit education firm, in light of significant political and macro-economic uncertainty facing the industry. As part of the investment analysis a complete discounted cash flow analysis... View Details

Keywords: Higher Education; Internet and the Web; Education Industry; Technology Industry

March 1993
Case

Clarion Optical Co.

By: Michael J. Roberts and Howard H. Stevenson

Focuses on two individuals' attempts to purchase Clarion Optical Co. Forces students to consider alternative proposals for financing the purchase; generate pro forma cash flows to assess the feasibility of these proposals; estimate the sources and magnitude of... View Details

Keywords: Leveraged Buyouts; Financing and Loans; Investment Return; Cash Flow; Forecasting and Prediction

January 2024 (Revised May 2024)
Case

Pioneer Natural Resources: Enhancing the Capital Return Strategy with Variable Dividends

By: Benjamin C. Esty, Elisabeth Kempf and E. Scott Mayfield

In February 2021, Scott Sheffield, the CEO of Pioneer Natural Resources (an independent oil and gas company based in Texas), was considering the possibility of enhancing the firm’s capital return strategy by introducing a variable dividend tied to cash flows in... View Details

Keywords: Corporate Finance; Cash Flow; Financial Management; Financial Strategy; Value Creation; Decision Choices and Conditions; Investment Return; Profit; Policy; Business and Shareholder Relations; Energy Industry; United States; North America; Texas

April 2000
Case

Financing of Project Achieve, The (A)

By: Mihir A. Desai

An entrepreneur is forced to analyze the tradeoffs between different equity providers through a detailed analysis of venture financing terms and cash flow forecasts. The founder of a Web-based IMS for schools must negotiate a term sheet, determine funding needs, value... View Details

Keywords: Business Startups; Forecasting and Prediction; Venture Capital; Cash Flow; Equity; Negotiation Deal; Valuation

November 2009
Background Note

Business Valuation and the Cost of Capital

By: Timothy A. Luehrman

This note is an introduction to the cost of capital as used in discounted cash flow valuation analyses. The note covers basic financial economic principles and practical problems encountered in calculating the cost of capital, especially WACC. It concludes with... View Details

Keywords: Economics; Capital Budgeting; Cash Flow; Cost of Capital; Valuation

November 2020
Supplement

Valuing Celgene's CVR

By: Benjamin C. Esty and Daniel Fisher

When Bristol-Myers Squibb (BMS) acquired Celgene Corporation in November 2019, Celgene shareholders received cash, BMS stock, and a contingent value right (CVRs) that would pay $9 if the U.S. Food and Drug Administration (FDA) approved three of Celgene’s late stage... View Details

Keywords: Mergers and Acquisitions; Value; Valuation; Judgments; Decision Making; Cash Flow; Financial Instruments; Cognition and Thinking; Pharmaceutical Industry; Biotechnology Industry; United States

Research Summary

Time Varying Expected Returns, Stochastic Dividend Yields, and Default Probabilities: Linking the Credit Risk and Equity Literature (with George Chacko and Jens Hilscher)

In standard structural bond pricing models, the firm defaults once the market value of assets has fallen below a threshold. Expected returns, or at least dividend yields, are assumed to be constant, which implies that any asset value movement is permanent and has the... View Details

August 1972 (Revised September 2000)
Background Note

Introduction to Accumulated Value, Present Value, and Internal Rate of Return

A simple, intuitive introduction to the usually-difficult topics of discounting and present value. While the mechanics of computing present value and internal rate of return are covered well, the emphasis is more about how to think about these concepts (for example,... View Details

Keywords: Accounting

December 1991 (Revised November 1993)
Case

U.S. Bank of Washington

A vice president of the U.S. Bank of Washington, a subsidiary of U.S. Bancorp, is asked to review a $6.5 million loan request from the Redhook Ale Brewery, a Seattle-based microbrewery. The case provides an understanding of the U.S. commercial banking industry and the... View Details

Keywords: Cash Flow; Financing and Loans; Financial Statements; Commercial Banking; Banking Industry; Seattle

2018
Working Paper

Global Portfolio Diversification for Long-Horizon Investors

By: Luis M. Viceira and Zixuan (Kevin) Wang

This paper conducts a theoretical and empirical investigation of global portfolio diversification for long-horizon investors in the presence of permanent cash flow shocks and transitory discount rate shocks to asset prices and returns. An increase in the cross-country... View Details

Keywords: Investment Portfolio; Risk and Uncertainty; Diversification; Capital Markets; Global Range

February 1992 (Revised July 1992)
Background Note

Note on Cross-Border Valuation

By: W. Carl Kester and Julia Morley

Provides a fundamental technical review of valuation techniques used to assess cross-border investments. Discusses the discounting of free cash flows with a weighted average cost of capital, the use of adjusted present value, and the importance of considering real... View Details

Keywords: Valuation; Cross-Cultural and Cross-Border Issues

June 1992
Case

Arundel Partners: The Sequel Project

By: Timothy A. Luehrman and William A. Teichner

A group of investors is considering buying the sequel rights for a portfolio of feature films. They need to determine how much to offer to pay and how to structure a contract with one or more major U.S. film studios. The case contains cash flow estimates for all major... View Details

Keywords: Rights; Debt Securities; Contracts; Cash Flow; Valuation; Capital Budgeting; Entertainment and Recreation Industry; Motion Pictures and Video Industry; United States

January 2020 (Revised July 2020)
Supplement

MoviePass: The 'Get Big Fast' Strategy

By: Benjamin C. Esty and Daniel Fisher

In August 2017, MoviePass dramatically lowered its subscription price from $50 per month to just $10 for up to one movie per day. The idea was to rapidly scale the business to the point where they could generate incremental revenue streams form related businesses... View Details

August 2011 (Revised November 2017)
Case

Adaptive Engineering, LLC

By: Richard S. Ruback and Royce Yudkoff

The owner and CEO of Adaptive Engineering was facing an important decision: should he focus on rebuilding its core professional services business which had generated significant revenue and cash flow over the past several years, or should he focus on developing and... View Details

Keywords: Leadership; Growth and Development Strategy; Decision Making; Service Industry; Technology Industry

November 2020
Teaching Note

Valuing Celgene's CVR

By: Benjamin C. Esty and Daniel Fisher

Teaching Note for HBS Case No. 221-031. When Bristol-Myers Squibb (BMS) acquired Celgene Corporation in November 2019, Celgene shareholders received cash, BMS stock, and a contingent value right (CVRs) that would pay $9 if the U.S. Food and Drug Administration (FDA)... View Details

Keywords: Mergers and Acquisitions; Valuation; Value; Judgments; Decision Making; Cash Flow; Financial Instruments; Cognition and Thinking; Pharmaceutical Industry; Biotechnology Industry; United States

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