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    • News  (73)
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  • All HBS Web  (797)
    • People  (2)
    • News  (73)
    • Research  (624)
  • Faculty Publications  (450)
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  • January 2022
  • Background Note

Residual Income Valuation Model

By: Charles C.Y. Wang and Albert Shin
This note explains the residual income valuation model (RIM), how it relates to "traditional" valuation models, the intuition behind its use, and empirical research related to its value relevance. RIM is theoretically equivalent to the dividend discount model and the... View Details
Keywords: Residual Income Valuation; Valuation; Research; Theory; Measurement and Metrics; Performance; Financial Management; Business Strategy
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Wang, Charles C.Y., and Albert Shin. "Residual Income Valuation Model." Harvard Business School Background Note 122-070, January 2022.
  • November 2020
  • Case

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
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Esty, Benjamin C., and Daniel Fisher. "Valuing Celgene's CVR." Harvard Business School Case 221-031, November 2020.
  • 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
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Hammond, John S. "Introduction to Accumulated Value, Present Value, and Internal Rate of Return." Harvard Business School Background Note 173-003, August 1972. (Revised September 2000.)
  • 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
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Viceira, Luis M., Joel Heilprin, Andrew S. Holmes, and Damian M. Zajac. "The Long and Short of Apollo Group and the University of Phoenix (A)." Harvard Business School Case 212-045, November 2011. (Revised December 2013.)
  • 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
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Gompers, Paul A. "Penelope's Personal Pocket Phones." Harvard Business School Case 299-004, April 1999. (Revised September 2001.)
  • 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
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Meulbroek, Lisa K. "Extracting Information from the Futures and Forwards Markets: The Relation between Spot Prices, Forward Prices and Expected Future Spot Prices." Harvard Business School Background Note 201-109, March 2001.
  • 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
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Viceira, Luis M., and Zixuan (Kevin) Wang. "Global Portfolio Diversification for Long-Horizon Investors." Harvard Business School Working Paper, No. 17-085, March 2017. (Revised July 2018.)
  • January 2018 (Revised April 2021)
  • Case

Capital Allocation at HCA

By: W. Carl Kester and Emily R. McComb
In early 2017, HCA Holdings, an investor-owned hospital management company, faced a strategically important capital allocation decision. After the exit of its private equity sponsors in 2016, HCA had to determine how best to allocate its substantial annual free cash... View Details
Keywords: Capital Allocation; Cash Distribution Policy; Dividends; Share Repurchases; Growth Strategy And Execution; Growth Investing; Capital Expenditures; Debt Management; Debt Reduction; Debt Policy; Hospital Management; Investor-owned Hospital Chains; Capital Budgeting; Capital Structure; Cash Flow; Corporate Finance; Decision Choices and Conditions; Health Industry; United States
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Kester, W. Carl, and Emily R. McComb. "Capital Allocation at HCA." Harvard Business School Case 218-039, January 2018. (Revised April 2021.)
  • 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
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Luehrman, Timothy A. "Business Valuation and the Cost of Capital." Harvard Business School Background Note 210-037, November 2009.
  • 2005
  • Working Paper

Money Illusion in the Stock Market: The Modigliani-Cohn Hypothesis

By: Randolph B. Cohen, Christopher Polk and Tuomo Vuolteenaho
Modigliani and Cohn [1979] hypothesize that the stock market suffers from money illusion, discounting real cash flows at nominal discount rates. While previous research has focused on the pricing of the aggregate stock market relative to Treasury bills, the... View Details
Keywords: Stocks; Price; Cash Flow
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Cohen, Randolph B., Christopher Polk, and Tuomo Vuolteenaho. "Money Illusion in the Stock Market: The Modigliani-Cohn Hypothesis." NBER Working Paper Series, No. 11018, January 2005.
  • 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
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Esty, Benjamin C., and Daniel Fisher. "Valuing Celgene's CVR." Harvard Business School Spreadsheet Supplement 221-705, November 2020.
  • 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
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Kester, W. Carl, and Julia Morley. "Note on Cross-Border Valuation." Harvard Business School Background Note 292-084, February 1992. (Revised July 1992.)
  • 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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Esty, Benjamin C., and Daniel Fisher. "Valuing Celgene's CVR." Harvard Business School Teaching Note 221-036, November 2020.
  • July 2001
  • Technical Note

Technical Note on LBO Valuation (A): LBO Structure and the Target IRR Method of Valuation

By: Carliss Y. Baldwin
Explains the equity cash flow method of valuation as it applies to leveraged buyouts. Also explains: 1) earnings and cash flow forecasts, 2) debt structure and the cash sweep, 3) the cashing out horizon and terminal valuation, and 4) the target IRR method of valuation. View Details
Keywords: Valuation; Leveraged Buyouts; Capital Budgeting; Borrowing and Debt; Cash Flow; Equity; Profit; Price; Forecasting and Prediction
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Baldwin, Carliss Y. "Technical Note on LBO Valuation (A): LBO Structure and the Target IRR Method of Valuation." Harvard Business School Technical Note 902-004, July 2001.
  • Teaching Interest

Finance I

By: Archie L. Jones

This course examines the role of finance in supporting the functional areas of a firm, and fosters an understanding of how financial decisions themselves can create value.

Topics covered include:

  • Basic analytical skills and principles of... View Details
  • March 1994 (Revised June 1999)
  • Background Note

Real Options: Valuing Managerial Flexibility

Provides a basic understanding of real options in corporate finance. Traditional discounted cash flow techniques (NPV) do not deal well with managerial flexibility or future response to uncertainty. The value of this flexibility can be significant and is handled well... View Details
Keywords: Strategy; Capital Budgeting; Corporate Finance
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Edleson, Michael E. "Real Options: Valuing Managerial Flexibility." Harvard Business School Background Note 294-109, March 1994. (Revised June 1999.)
  • 2020
  • Working Paper

Short-Termism, Shareholder Payouts, and Investment in the EU

By: Jesse M. Fried and Charles C.Y. Wang
Investor-driven “short-termism” is said to harm EU public firms' ability to invest for the long term, prompting calls for the EU to better insulate managers from shareholder pressure. But the evidence offered—in the form of rising levels of repurchases and dividends—is... View Details
Keywords: Short-termism; Quarterly Capitalism; EU; Dividends; Equity Issuances; Equity Compensastion; Capital Flows; Capital Distribution; R&D; Innovation; Investment; Corporate Governance; Investment Return; Acquisition; European Union
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Fried, Jesse M., and Charles C.Y. Wang. "Short-Termism, Shareholder Payouts, and Investment in the EU." Harvard Business School Working Paper, No. 21-054, October 2020.
  • January 1995 (Revised August 1997)
  • Background Note

Cross-Border Valuation

By: Kenneth A. Froot and W. Carl Kester
Provides a review of valuation techniques used to assess cross-border investments. Discusses the discounting of free cash flows with a weighted average cost of capital and the use of adjusted present value. Special concerns such as foreign-exchange risk, country risks,... View Details
Keywords: Valuation; Cross-Cultural and Cross-Border Issues
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Froot, Kenneth A., and W. Carl Kester. "Cross-Border Valuation." Harvard Business School Background Note 295-100, January 1995. (Revised August 1997.)
  • 2023
  • Working Paper

The Optimal Stock Valuation Ratio

By: Sebastian Hillenbrand and Odhrain McCarthy
Trailing price ratios, such as the price-dividend and the price-earnings ratio, scale prices by trailing cash flow measures. They theoretically contain expected returns, yet, their performance in predicting stock market returns is poor. This is because of an omitted... View Details
Keywords: Price; Investment Return; AI and Machine Learning; Valuation; Cash Flow; Forecasting and Prediction
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Hillenbrand, Sebastian, and Odhrain McCarthy. "The Optimal Stock Valuation Ratio." Working Paper, November 2023.
  • 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
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Narayanan, V.G., and Joel L. Heilprin. "AT&T Versus Verizon: A Financial Comparison." Harvard Business School Brief Case 917-543, June 2017.
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