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Show Results For
- All HBS Web
(3,380)
- People (38)
- News (622)
- Research (1,887)
- Events (27)
- Multimedia (200)
- Faculty Publications (1,404)
- Oct 2020
- Conference Presentation
Optimal, Truthful, and Private Securities Lending
By: Emily Diana, Michael J. Kearns, Seth Neel and Aaron Leon Roth
We consider a fundamental dynamic allocation problem motivated by the problem of securities lending in financial markets, the mechanism underlying the short selling of stocks. A lender would like to distribute a finite number of identical copies of some scarce resource... View Details
Diana, Emily, Michael J. Kearns, Seth Neel, and Aaron Leon Roth. "Optimal, Truthful, and Private Securities Lending." Paper presented at the 1st Association for Computing Machinery (ACM) International Conference on AI in Finance (ICAIF), October 2020.
- 2013
- Working Paper
Applying Random Coefficient Models to Strategy Research: Testing for Firm Heterogeneity, Predicting Firm-Specific Coefficients, and Estimating Strategy Trade-Offs
By: Juan Alcacer, Wilbur Chung, Ashton Hawk and Goncalo Pacheco-de-Almeida
Although Strategy research aims to understand how firm actions have differential effects on performance, most empirical research estimates the average effects of these actions across firms. This paper promotes Random Coefficients Models (RCMs) as an ideal empirical... View Details
Alcacer, Juan, Wilbur Chung, Ashton Hawk, and Goncalo Pacheco-de-Almeida. "Applying Random Coefficient Models to Strategy Research: Testing for Firm Heterogeneity, Predicting Firm-Specific Coefficients, and Estimating Strategy Trade-Offs." Harvard Business School Working Paper, No. 14-022, September 2013.
- Article
Consistent Covariance Matrix Estimation with Cross-Sectional Dependence and Heteroskedasticity in Cross-Sectional Financial Data
By: K. A. Froot
Keywords: Econometrics; Panel Estimation; Autocorrelation; Heteroskedasticity; Mathematical Methods; Economics
Froot, K. A. "Consistent Covariance Matrix Estimation with Cross-Sectional Dependence and Heteroskedasticity in Cross-Sectional Financial Data." Journal of Financial and Quantitative Analysis 24, no. 3 (September 1989): 333–355. (Revised from NBER Technical Working Paper No. 62.)
- 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
Khanna, Tarun, and Jan W. Rivkin. "Math for Strategists." Harvard Business School Background Note 705-433, November 2004. (Revised April 2005.)
- fall 1973
- Article
Statistical Sampling in Auditing with Auxiliary Information Estimators
By: Robert S. Kaplan
Kaplan, Robert S. "Statistical Sampling in Auditing with Auxiliary Information Estimators." Journal of Accounting Research 11 (fall 1973): 238–258.
- 15 Aug 2023
- News
Ryan Serhant: How to Manage Your Time for Happiness
- Article
An Optimization-based Econometric Framework for the Evaluation of Monetary Policy
By: Julio J. Rotemberg and Michael Woodford
Rotemberg, Julio J., and Michael Woodford. "An Optimization-based Econometric Framework for the Evaluation of Monetary Policy." NBER Macroeconomics Annual 12 (1997): 297–344.
- March 1989 (Revised April 1998)
- Case
Marriott Corporation: The Cost of Capital (Abridged)
Gives students the opportunity to explore how a company uses the Capital Asset Pricing Model (CAPM) to compute the cost of capital for each of its divisions. The use of Weighted Average Cost of Capital (WACC) formula and the mechanics of applying it are stressed. View Details
Ruback, Richard S. "Marriott Corporation: The Cost of Capital (Abridged)." Harvard Business School Case 289-047, March 1989. (Revised April 1998.)
- November 2019
- Article
Full Substitutability
By: John William Hatfield, Scott Duke Kominers, Alexandru Nichifor, Michael Ostrovsky and Alexander Westkamp
Various forms of substitutability are essential for establishing the existence of equilibria and other useful properties in diverse settings such as matching, auctions, and exchange economies with indivisible goods. We extend earlier models’ definitions of... View Details
Hatfield, John William, Scott Duke Kominers, Alexandru Nichifor, Michael Ostrovsky, and Alexander Westkamp. "Full Substitutability." Theoretical Economics 14, no. 4 (November 2019): 1535–1590.
- July 2008 (Revised May 2009)
- Teaching Note
The Springfield Nor'easters: Maximizing Revenues in the Minor Leagues (Brief Case)
By: Frank V. Cespedes, Christopher H. Lovelock and Laura Winig
Teaching Note for 2510 View Details
- November 2012
- Article
The Variance of Non-Parametric Treatment Effect Estimators in the Presence of Clustering
By: Samuel G. Hanson and Adi Sunderam
Non-parametric estimators of treatment effects are often applied in settings where clustering may be important. We provide a general methodology for consistently estimating the variance of a large class of non-parametric estimators, including the simple matching... View Details
Keywords: Treatment Effects; Matching Estimators; Clustering; Applications and Software; Mathematical Methods
Hanson, Samuel G., and Adi Sunderam. "The Variance of Non-Parametric Treatment Effect Estimators in the Presence of Clustering." Review of Economics and Statistics 94, no. 4 (November 2012). (Stata and Matlab Code Here.)
- 1970
- Dissertation
Analytical Optimal Control Theory as Applied to Stochastic and Non-Stochastic Economics
By: Robert C. Merton
Merton, Robert C. "Analytical Optimal Control Theory as Applied to Stochastic and Non-Stochastic Economics." Diss., Massachusetts Institute of Technology (MIT), 1970.
- January 2018
- Background Note
Math Tools for Strategists
By: Tarun Khanna and Jan W. Rivkin
Great strategists rely heavily on numbers as they go about their work. This note offers an overview of the highbrow and lowbrow quantitative tools that individuals commonly encounter during strategy courses and in actual strategy work. The note focuses especially on... View Details
Khanna, Tarun, and Jan W. Rivkin. "Math Tools for Strategists." Harvard Business School Background Note 718-477, January 2018.
- December 1998
- Background Note
Note on Low-Tech Marketing Math
By: Robert J. Dolan
Describes basic calculations useful in marketing analysis, break-even analysis, and price-volume relationships. View Details
Dolan, Robert J. "Note on Low-Tech Marketing Math." Harvard Business School Background Note 599-011, December 1998.
- 15 Apr 2025
- News
The Nuqul Group Works to Preserve Its Founder’s Legacy
- 02 Jan 2024
- News
Should Businesses Take a Stand on Societal Issues?
- 01 Aug 2023
- News