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Using Patent Capital to Estimate Tobin’s Q

Published online by Cambridge University Press:  31 January 2022

Michael Woeppel Open the ORCID record for Michael Woeppel [Opens in a new window]
Michael Woeppel*
Affiliation:
Indiana University Kelley School of Business
*
mwoeppel@iu.edu (corresponding author)
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Abstract

I construct a new proxy for Tobin’s Q that incorporates the replacement cost of patent capital. This proxy, which I call patent Q, explains up to 62% more variation in investment than other proxies for Q. Furthermore, investment is more sensitive to patent Q than to other proxies for Q. Although investment is predicted more accurately by, and is more sensitive to, patent Q, controlling for patent Q leads to relatively larger, not smaller, cash flow coefficients. All results are stronger in subsamples with more patent capital. Overall, patent Q strengthens the historically weak investment–Q relation.

Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 57 , Issue 8 , December 2022 , pp. 2929 - 2967
Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of the Michael G. Foster School of Business, University of Washington

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Footnotes

This paper is based on my dissertation at Purdue University. I am particularly indebted to Deniz Yavuz for his insightful guidance. I am also grateful for the valuable advice of Huseyin Gulen, John McConnell, and Noah Stoffman. I would also like to thank an anonymous referee, Daniel Andrei, Logan Emery, Mara Faccio, Fotis Grigoris, Jarrad Harford (the editor), Craig Holden, Mitch Johnston, Ben McCartney, Ryan Peters, Kelly Shue, Toni Whited, and seminar participants at Ball State University, Binghamton University, Indiana University, Purdue University, Southern Methodist University, and University of Western Ontario for helpful comments. All remaining errors are my own.

References

Abel, A. B. “Empirical Investment Equations: An Integrative Framework.” Carnegie-Rochester Conference Series on Public Policy, 12 (1980), 39–91.CrossRefGoogle Scholar
Alti, A. “How Sensitive Is Investment to Cash Flow when Financing Is Frictionless?” Journal of Finance, 58 (2003), 707–722.CrossRefGoogle Scholar
Andersen, T. G., and Terasvirta, T.. “Realized Volatility.” In Handbook of Financial Time Series, Mikosch, T., Kreiu, J.-P., Davis, R. A., and Andersen, T. G., eds. Berlin: Springer (2009), 555–575.CrossRefGoogle Scholar
Andrei, D.; Mann, W.; and Moyen, N.. “Why Did the q Theory of Investment Start Working?” Journal of Financial Economics, 133 (2019), 251–272.Google Scholar
Bolton, P.; Chen, H.; and Wang, N.. “A Unified Theory of Tobin’s q, Corporate Investment, Financing, and Risk Management.” Journal of Finance, 66 (2011), 1545–1578.CrossRefGoogle Scholar
Brown, J. R.; Fazzari, S. M.; and Petersen, B. C.. “Financing Innovation and Growth: Cash Flow, External Equity, and the 1990s R&D Boom.” Journal of Finance, 64 (2009), 151–185.CrossRefGoogle Scholar
Caballero, R. J. “Aggregate Investment.” In Handbook of Macroeconomics, Vol. 1, Taylor, J. B. and Woodford, M., eds. Amsterdam: Elsevier (1999), 813–862.CrossRefGoogle Scholar
Carley, M.; Hedge, D.; and Marco, A.. “What Is the Probability of Receiving a U.S. Patent?” Yale Journal of Law and Technology, 17 (2015), 203–223.Google Scholar
Chemmanur, T. J.; Li, D.; Tseng, K.; and Wang, Y.. “What Is the Value of an Innovation? Theory and Evidence on the Stock Market’s Reaction to Innovation Announcements.” Working Paper, Boston College (2021).Google Scholar
Chen, H., and Chen, S.. “Investment–Cash Flow Sensitivity Cannot Be a Good Measure of Financial Constraints: Evidence from the Time Series.” Journal of Financial Economics, 103 (2012), 393–410.CrossRefGoogle Scholar
Chen, J.; Zhu, Z.; and Xie, H. Y.. “Measuring Intellectual Capital: A New Model and Empirical Study.” Journal of Intellectual Capital, 5 (2004), 195–212.CrossRefGoogle Scholar
Ciccolo, J. H. Jr. “Four Essays on Monetary Policy.” Ph.D. Thesis, Yale University (1975).Google Scholar
Cockburn, I., and Griliches, Z.. “Industry Effects and Appropriability Measures in the Stock Market’s Valuation of R&D and Patents.” American Economic Review: Papers and Proceedings, 78 (1988), 419–423.Google Scholar
Connolly, R. A., and Hirschey, M.. “Market Value and Patents: A Bayesian Approach.” Economics Letters, 27 (1988), 83–87.CrossRefGoogle Scholar
Corrado, C.; Haskel, J.; Jona-Lasinio, C.; and Iommi, M.. “Intangible Capital and Growth in Advanced Economies: Measurement Methods and Comparative Results.” Working Paper No. 6733, Institute for the Study of Labor (2012).CrossRefGoogle Scholar
Corrado, C., and Hulten, C.. “How Do You Measure a ‘Technological Revolution’?” American Economic Review: Papers and Proceedings, 100 (2010), 99–104.Google Scholar
Corrado, C.; Hulten, C.; and Sichel, D.. “Measuring Capital and Technology: An Expanded Framework.” In Measuring Capital in the New Economy, Corrado, C., Haltiwanger, J., and Sichel, D., eds. Chicago and London: University of Chicago Press (2005), 11–46.CrossRefGoogle Scholar
Corrado, C., Hulten, C., and Sichel, D.. “Intangible Capital and US Economic Growth.” Review of Income and Wealth, 55 (2009), 661–685.CrossRefGoogle Scholar
Correia, S. “Singletons, Cluster-Robust Standard Errors and Fixed Effects: A Bad Mix.” Technical Note, Duke University (2015).Google Scholar
Damodaran, A. “Research and Development Expenses: Implications for Profitability Measurement and Valuation.” Working Paper, New York University (1999).Google Scholar
Edvinsson, L., and Malone, M. S.. Intellectual Capital: Realizing Your Company’s True Value by Finding Its Hidden Brainpower. Harper Collins (1997).Google Scholar
Eisfeldt, A. L., and Papanikolaou, D.. “Organization Capital and the Cross-Section of Expected Returns.” Journal of Finance, 68 (2013), 1365–1406.CrossRefGoogle Scholar
Eisfeldt, A. L., and Papanikolaou, D.. “The Value and Ownership of Intangible Capital.” American Economic Review: Papers and Proceedings, 104 (2014), 189–194.CrossRefGoogle Scholar
Erickson, T.; Jiang, C. H.; and Whited, T. M.. “Minimum Distance Estimation of the Errors-in-Variables Model Using Linear Cumulant Equations.” Journal of Econometrics, 183 (2014), 211–221.CrossRefGoogle Scholar
Erickson, T.; Parham, R.; and Whited, T. M.. “Fitting the Errors-in-Variables Model Using High-Order Cumulants and Moments.” Stata Journal, 17 (2017), 116–129.CrossRefGoogle Scholar
Erickson, T., and Whited, T. M.. “Measurement Error and the Relationship Between Investment and q.” Journal of Political Economy, 108 (2000), 1027–1057.CrossRefGoogle Scholar
Erickson, T., and Whited, T. M.. “Two-Step GMM Estimation of the Errors-in-Variables Model Using High-Order Moments.” Econometric Theory, 18 (2002), 776–799.Google Scholar
Erickson, T., and Whited, T. M.. “On the Accuracy of Different Measures of q.” Financial Management, 35 (2006), 5–33.CrossRefGoogle Scholar
Erickson, T., and Whited, T. M.. “Treating Measurement Error in Tobin’s q.” Review of Financial Studies, 25 (2012), 1286–1329.CrossRefGoogle Scholar
Ewens, M.; Peters, R. H.; and Wang, S.. “Measuring Intangible Capital with Market Prices.” NBER Working Paper No. 25960 (2020).Google Scholar
Fazzari, S. M.; Hubbard, R. G.; and Petersen, B. C.. “Financing Constraints and Corporate Investment.” Brookings Papers on Economic Activity, 1 (1988), 141–206.CrossRefGoogle Scholar
Gilchrist, S., and Himmelberg, C. P.. “Evidence on the Role of Cash Flow for Investment.” Journal of Monetary Economics, 36 (1995), 541–572.CrossRefGoogle Scholar
Gomes, J. F. “Financing Investment.” American Economic Review, 91 (2001), 1263–1285.CrossRefGoogle Scholar
Graham, J. R. “Debt and the Marginal Tax Rate.” Journal of Financial Economics, 41 (1996a), 41–73.CrossRefGoogle Scholar
Graham, J. R. “Proxies for the Corporate Marginal Tax Rate.” Journal of Financial Economics, 42 (1996b), 187–221.CrossRefGoogle Scholar
Griliches, Z. “Market Value, R&D, and Patents.” Economics Letters, 7 (1981), 183–187.CrossRefGoogle Scholar
Gutiérrez, G., and Philippon, T.. “Investmentless Growth: An Empirical Investigation.” Brookings Papers on Economic Activity, 2 (2017), 89–169.CrossRefGoogle Scholar
Hall, B.; Helmers, C.; Rogers, M.; and Sena, V.. “The Choice Between Formal and Informal Intellectual Property: A Review.” Journal of Economic Literature, 52 (2014), 375–423.CrossRefGoogle Scholar
Haskel, J., and Westlake, S.. Capitalism Without Capital: The Rise of the Intangible Economy. Princeton & Oxford: Princeton University Press (2017).CrossRefGoogle Scholar
Hassett, K. A., and Hubbard, R. G.. “Tax Policy and Investment.” In Fiscal Policies: Lessons from Economic Research, Auerbach, A. J., ed. Cambridge, MA: MIT Press (1997), 339–400.Google Scholar
Hayashi, F., and Inoue, T.. “The Relation Between Firm Growth and Q with Multiple Capital Goods: Theory and Evidence from Panel Data on Japanese Firms.” Econometrica, 59 (1991), 731–753.Google Scholar
Kaplan, S. N., and Zingales, L.. “Do Investment–Cash Flow Sensitivities Provide Useful Measures of Financing Constraints?” Quarterly Journal of Economics, 112 (1997), 169–215.Google Scholar
Kogan, L.; Papanikolaou, D.; Seru, A.; and Stoffman, N.. “Technological Innovation, Resource Allocation, and Growth.” Quarterly Journal of Economics, 132 (2017), 665–712.CrossRefGoogle Scholar
Koh, P. S., and Reeb, D. M.. “Missing R&D.” Journal of Accounting and Economics, 60 (2015), 73–94.CrossRefGoogle Scholar
Lev, B., and Radhakrishnan, S.. “The Valuation of Organization Capital.” In Measuring Capital in the New Economy, Corrado, C., Haltiwanger, J., and Sichel, D., eds. Chicago and London: University of Chicago Press (2005), 73–110.Google Scholar
Lev, B., and Sougiannis, T.. “The Capitalization, Amortization, and Value-Relevance of R&D.” Journal of Accounting and Economics, 21 (1996), 107–138.CrossRefGoogle Scholar
Lewellen, W. G., and Badrinath, S.. “On the Measurement of Tobin’s q.” Journal of Financial Economics, 44 (1997), 77–122.CrossRefGoogle Scholar
Li, W. C. “Depreciation of Business R&D Capital.” In Bureau of Economic Analysis/National Science Foundation R&D Satellite Account Paper. Washington, DC: US Government Printing Office (2012).Google Scholar
McVay, S. E. “Earnings Management Using Classification Shifting: An Examination of Core Earnings and Special Items.” Accounting Review, 81 (2006), 501–531.CrossRefGoogle Scholar
Megna, P., and Klock, M.. “The Impact of Intangible Capital on Tobin’s q in the Semiconductor Industry.” American Economic Review: Papers and Proceedings, 83 (1993), 265–269.Google Scholar
Otto, S. A. “How to Normalize the RMSE.” Available at https://www.marinedatascience.co/blog/2019/01/07/normalizing-the-rmse/ (Accessed Dec. 21, 2020) (2019).Google Scholar
Otto, S. A.; Kadin, M.; Casini, M.; Torres, M. A.; and Blenckner, T.. “A Quantitative Framework for Selecting and Validating Food Web Indicators.” Ecological Indicators, 84 (2018), 619–631.CrossRefGoogle Scholar
Pakes, A. “On Patents, R&D, and the Stock Market Rate of Return.” Journal of Political Economy, 93 (1985), 390–409.CrossRefGoogle Scholar
Pakes, A., and Griliches, Z.. “Patents and R&D at the Firm Level: A First Report.” Economics Letters, 5 (1980), 377–381.CrossRefGoogle Scholar
Pakes, A., and Schankerman, M.. “The Rate of Obsolescence of Patents, Research Gestation Lags, and the Private Rate of Return to Research Resources.” In R&D, Patents, and Productivity, Griliches, Z., ed. Chicago and London: University of Chicago Press (1984), 73–88.Google Scholar
Peters, R. H., and Taylor, L. A.. “Intangible Capital and the Investment–q Relation.” Journal of Financial Economics, 123 (2017), 251–272.CrossRefGoogle Scholar
Philippon, T. “The Bond Market’s q.” Quarterly Journal of Economics, 124 (2009), 1011–1056.CrossRefGoogle Scholar
Schankerman, M. “How Valuable Is Patent Protection? Estimates by Technology Field.” RAND Journal of Economics, 29 (1998), 77–107.CrossRefGoogle Scholar
Stoffman, N.; Woeppel, M.; and Yavuz, D.. “Small Innovators: No Risk, No Return.” Journal of Accounting and Economics, available at https://www.sciencedirect.com/science/article/pii/S0165410122000155 (2022).Google Scholar
Tobin, J., and Brainard, W. C.. “Asset Markets and the Cost of Capital.” In Economic Progress, Private Values and Public Policy: Essays in Honor of William Fellner, Fellner, W., Balassa, B. A., and Nelson, R. R., eds. Amsterdam and New York: North-Holland (1977), 235–262.Google Scholar
Whited, T. M. “Problems with Identifying Adjustment Costs from Regressions of Investment on q.” Economics Letters, 46 (1994), 327–332.CrossRefGoogle Scholar