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(566)
- News (74)
- Research (441)
- Events (2)
- Multimedia (2)
- Faculty Publications (139)
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- April 1986 (Revised May 1996)
- Background Note
Note on Option Pricing
Develops a simple option pricing model which provides an insight into the foundations of the Black and Scholes model. The Black and Scholes model is next introduced and its relationship to the simple option pricing model discussed. Last, the problem of pricing debt... View Details
Mason, Scott P. "Note on Option Pricing." Harvard Business School Background Note 286-112, April 1986. (Revised May 1996.)
- January 2016 (Revised April 2017)
- Case
The Galaxy Dividend Income Growth Fund's Option Investment Strategies
By: W. Carl Kester
This case is designed to provide an elementary introduction to options and option pricing for beginning finance students. Analysis of the case requires students to compare the prices of put and call options with various exercise prices and maturity dates on two... View Details
Keywords: Options; Option Contract; Option Pricing; Derivatives; Mutual Funds; Call Options; Put Options; Stock Options; Risk and Uncertainty; Volatility; Financial Services Industry; United States
Kester, W. Carl. "The Galaxy Dividend Income Growth Fund's Option Investment Strategies." Harvard Business School Case 216-041, January 2016. (Revised April 2017.)
- September 1997 (Revised February 2000)
- Exercise
Exercises in Option Pricing and Real Option Analysis
By: Benjamin C. Esty
Contains five problems, one each on basic option pricing, abandonment value, the value of waiting to invest, contingent claims analysis (equity as a call option), and strategic decision making in an option framework. The goal is for students to recognize option value... View Details
- November 2016 (Revised November 2016)
- Supplement
The Galaxy Dividend Income Growth Fund's Option Investment Strategies
By: W. Carl Kester
- spring 1973
- Article
Theory of Rational Option Pricing
By: Robert C. Merton
Merton, Robert C. "Theory of Rational Option Pricing." Bell Journal of Economics and Management Science 4, no. 1 (spring 1973): 141–183. (Chapter 8 in Continuous-Time Finance.)
- November 1984
- Background Note
Black-Scholes Option Pricing Program for the HP 12C Calculator
By: Andre F. Perold
Contains a program that can be used on the HP12C pocket calculator to compute the Black-Scholes option price and the associated hedge ratio. The program must be given the following parameters: the exercise price, the risk-free rate, the time to expiration, and the... View Details
Perold, Andre F. "Black-Scholes Option Pricing Program for the HP 12C Calculator." Harvard Business School Background Note 285-057, November 1984.
- May 2000
- Article
Optimal Exercise Prices for Executive Stock Options
By: Brian Hall
Hall, Brian. "Optimal Exercise Prices for Executive Stock Options." American Economic Review 90, no. 2 (May 2000).
- January–February 2020
- Article
Consumer Reactions to Drip Pricing
By: Shelle Santana, Steven Dallas and Vicki Morwitz
This research examines how drip pricing—a strategy whereby a firm advertises only part of a product’s price upfront and then reveals additional mandatory or optional fees/surcharges as the consumer proceeds through the buying process—affects consumer choice and... View Details
Keywords: Drip Pricing; Pricing; Consumer Protection; Hidden Fees; Price; Consumer Behavior; Perception
Santana, Shelle, Steven Dallas, and Vicki Morwitz. "Consumer Reactions to Drip Pricing." Marketing Science 39, no. 1 (January–February 2020): 188–210.
- January 2008
- Background Note
Index Options
By: Joshua Coval and Erik Stafford
The goal of this simulation is to understand the patterns in index option prices that are not predicted by the Black-Scholes model. In particular, the simulation focuses on two properties of options prices. First, at-the-money implied volatilities from index options... View Details
Keywords: Volatility; Stock Options; Investment; Price; Profit; Risk Management; Mathematical Methods
Coval, Joshua, and Erik Stafford. "Index Options." Harvard Business School Background Note 208-119, January 2008.
- October 2004
- Article
Demand for Portfolio Insurance and Index Option Prices
By: Kaushik Amin, Joshua D. Coval and H. Nejat Seyhun
Amin, Kaushik, Joshua D. Coval, and H. Nejat Seyhun. "Demand for Portfolio Insurance and Index Option Prices." Journal of Business 77, no. 4 (October 2004).
- September 2, 2020
- Article
How to Pay for Public Option Without Tax Hike
By: Regina E. Herzlinger and Richard Boxer
A bipartisan combination of the two parties’ most popular initiatives can expand health care coverage, significantly reduce costs, and enable freedom of choice, without raising taxes. Along the way, we can revitalize competition between public and private plans. Our... View Details
Keywords: Health Insurance; Public Option; Health Care and Treatment; Insurance; Cost Management; United States
Herzlinger, Regina E., and Richard Boxer. "How to Pay for Public Option Without Tax Hike." RealClearPolicy (September 2, 2020).
- January–February 1976
- Article
Option Pricing When Underlying Stock Returns are Discontinuous
By: Robert C. Merton
Merton, Robert C. "Option Pricing When Underlying Stock Returns are Discontinuous." Journal of Financial Economics 3 (January–February 1976): 125–144. (Chapter 9 in Continuous-Time Finance.)
- May 1976
- Article
The Impact on Option Pricing of Specification Error in the Underlying Stock Price Returns
By: Robert C. Merton
Merton, Robert C. "The Impact on Option Pricing of Specification Error in the Underlying Stock Price Returns." Journal of Finance 31, no. 2 (May 1976): 333–350.
- January 2008
- Background Note
Equity Options
By: Joshua Coval and Erik Stafford
The goal of this simulation is to understand the reliance of option values on volatility. When an investor trades an option, they are essentially trading volatility. Therefore, much of the focus in this lesson is on forecasting volatility. Students are able to use two... View Details
Keywords: Volatility; Forecasting and Prediction; Stock Options; Investment Return; Price; Market Transactions; Mathematical Methods; Value
Coval, Joshua, and Erik Stafford. "Equity Options." Harvard Business School Background Note 208-118, January 2008.
- March 2002 (Revised October 2002)
- Case
Akamai's Underwater Options (A)
By: Brian J. Hall, Houston Lane and Jonathan Lim
Akamai's stock price declines dramatically with the NASDAQ in 2000, causing virtually all employee options to go underwater. Ownership and retention incentives are largely destroyed, and employee morale falls sharply. Management weighs the pros and cons of various... View Details
Hall, Brian J., Houston Lane, and Jonathan Lim. "Akamai's Underwater Options (A)." Harvard Business School Case 902-069, March 2002. (Revised October 2002.)
- June 2007 (Revised January 2009)
- Case
Nextel Partners: Put Option
By: Timothy A. Luehrman and Douglas Scott
Nextel Partners' shareholders have voted to exercise a put option that will require the company's largest shareholder, Sprint Nextel Corp., to purchase all the shares it does not already own. However, the put option does not stipulate a price to be paid, but rather a... View Details
Luehrman, Timothy A., and Douglas Scott. "Nextel Partners: Put Option." Harvard Business School Case 207-128, June 2007. (Revised January 2009.)
- February 1993 (Revised December 1994)
- Exercise
Corporate Financial Management: Options Exercises
By: Timothy A. Luehrman
This case presents four exercises designed to introduce students to applications of option pricing and decision-tree analysis to real corporate investment problems. Two of the four problems involve decision trees and two involve option pricing. Students should be... View Details
Luehrman, Timothy A. "Corporate Financial Management: Options Exercises." Harvard Business School Exercise 293-095, February 1993. (Revised December 1994.)
- 2016
- Working Paper
Options-Pricing Formula with Disaster Risk
By: Robert J. Barro and Gordon Y. Liao
A new options-pricing formula applies to far-out-of-the money put options on the overall stock market when disaster risk is the dominant force, the size distribution of disasters follows a power law, and the economy has a representative agent with Epstein-Zin utility.... View Details
Barro, Robert J., and Gordon Y. Liao. "Options-Pricing Formula with Disaster Risk." NBER Working Paper Series, No. 21888, January 2016.
- June 30, 2020
- Article
Bipartisan Tax-Free Solution to Health Care Financing: Coupling HRAs With a Public Option
By: Regina E. Herzlinger, Richard Boxer and James Wallace
A combination of health insurance initiatives by the presumptive 2020 Democratic and Republican presidential nominees could expand health care coverage and significantly reduce costs, without raising taxes. Along the way, the combination could revitalize private... View Details
Keywords: Health Care Financing; Public Option; Health Reimbursement Arrangement (HRA); Health Care and Treatment; Insurance; Cost Management
Herzlinger, Regina E., Richard Boxer, and James Wallace. "Bipartisan Tax-Free Solution to Health Care Financing: Coupling HRAs With a Public Option." Health Affairs Blog (June 30, 2020).
- April 2005 (Revised January 2006)
- Background Note
Note on Basic Option Properties
Options are contracts that give the right, but not the obligation, to either buy or sell a specific underlying security for a specified price on or before a specific date. Explains the basis of options, covering fundamentals such as option terminology, the payoff... View Details
Keywords: Stock Options
Chacko, George C., Peter A. Hecht, Vincent Dessain, and Anders Sjoman. "Note on Basic Option Properties." Harvard Business School Background Note 205-105, April 2005. (Revised January 2006.)