Does Diversification Drive Down Risk-adjusted Returns? A Quantile Regression Approach

  • 1 Business School, University of Colorado Denver, 1475 Lawrence Street, Denver, USA
Jeungbo Shim
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  • Business School, University of Colorado Denver, 1475 Lawrence Street, Denver, CO, 80202, USA
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This study examines diversification-performance relationship in the U.S. property-liability insurance industry over the period of 1996–2010. Unlike prior studies that rely on the conditional mean estimation method, we employ quantile regression, which captures the heterogeneous effects of diversification on conditional return distribution. The results show that diversification does not necessarily drive down risk-adjusted returns and its effects vary along return distribution. We find that there is a diversification discount for firms in the lower levels of return distribution, whereas a diversification premium exists for firms in the upper levels of return distribution. We provide evidence that the relations between risk-adjusted returns and other explanatory variables are not constant, but vary over the quantiles of return distribution. Our results are robust to alternative measures of an insurer’s performance and product diversification.

  • Berger, A. N., J. D. Cummins, and M. A. Weiss. 1997. “The Co-Existence of Multiple Distribution Systems for Financial Services: The Case of Property-Liability Insurance.” The Journal of Business 70 (4):515–546.

  • Berger, A. N., J. D. Cummins, M. A. Weiss, and H. Zi. 2000. “Conglomeration versus Strategic Focus: Evidence from the Insurance Industry.” Journal of Financial Intermediation 9:323–362.

  • Berger, P. G., and E. Ofek. 1995. “Diversification’s Effect on Firm Value.” Journal of Financial Economics 37:39–65.

  • Berry-Stolzle, T. R., A. P. Liebenberg, J. S. Ruhland, and D. W. Sommer. 2012. “Determinants of Corporate Diversification: Evidence from the Property-Liability Insurance Industry.” Journal of Risk and Insurance 79:381–413.

  • Binder, M., and A. Coad. 2011. “From Average Joe’s Happiness to Miserable Jane and Cheerful John: Using Quantile Regressions to Analyze the Full Subjective Well-being Distribution.” Journal of Economic Behavior & Organization 79:275–290.

  • Borghesi, R., J. Houston, and A. Naranjo. 2007. “Value, Survival, and the Evolution of Firm Organizational Structure.” Financial Management 36:5–31.

  • Cade, B. S., and B. R. Noon. 2003. “A Gentle Introduction to Quantile Regression for Ecologists.” Frontiers in Ecology and the Environment 1:412–420.

  • Campa, J. M., and S. Kedia. 2002. “Explaining the Diversification Discount.” Journal of Finance 57:1731–1762.

  • Cebenoyan, A. S., and P. E. Strahan. 2004. “Risk Management, Capital Structure and Lending at Banks.” Journal of Banking and Finance 28:19–43.

  • Chen, R., and K. A. Wong. 2004. “The Determinants of Financial Health Of Asian Insurance Companies.” Journal of Risk and Insurance 71:469–499.

  • Chen, S.-T., H.-I. Kuo, and C. C. Chen. 2012. “Estimating the Extreme Behaviors of Students Performance Using Quantile Regression – Evidences from Taiwan.” Education Economics 20 (1):93–113.

  • Chung, K. H., and S. W. Pruitt. 1994. “A Simple Approximation of Tobin’s Q.” Financial Management 23:70–74.

  • Cloquitt, L. L., and R. E. Hoyt. 1997. “Determinants of Corporate Hedging Behavior: Evidence from the Life Insurance Industry.” Journal of Risk and Insurance 64:649–671.

  • Colquitt, L. L., D. W. Sommer, and N. H. Godwin. 1999. “Determinants of Cash Holding by Property-Liability Insurers.” Journal of Risk and Insurance 66:401–415.

  • Core, J., W. Guay, and T. Rusticus. 2006. “Does Weak Governance Cause Weak Stock Returns? An Examination of Firm Operating Performance and Investors’ Expectations.” Journal of Finance 61:655–687.

  • Cummins, J. D., and G. Nini. 2002. “Optimal Capital Utilization by Financial Firms: Evidence from the Property-Liability Insurance Industry.” Journal of Financial Services Research 21:15–53.

  • Cummins, J. D., M. A. Weiss, X. Xie, and H. Zi. 2010. “Economies of Scope in Financial Services: A DEA Efficiency Analysis of the US Insurance Industry.” Journal of Banking and Finance 34:1525–1539.

  • Cummins, J. D., and X. Xie. 2008. “Mergers & Acquisitions in the U.S. Property-Liability Insurance Industry: Productivity and Efficiency Effects.” Journal of Banking and Finance 32:30–55.

  • Denis, D. J., D. K. Denis, and A. Sarin. 1997. “Agency Problems, Equity Ownership, and Corporate Diversification.” Journal of Finance 52:135–160.

  • DeYoung, R., and K. P. Roland. 2001. “Product Mix and Earnings Volatility at Commercial Banks: Evidence from a Degree of Total Leverage Model.” Journal of Financial Intermediation 10:54–84.

  • Elango, B., Y. Ma, and N. Pope. 2008. “An Investigation into the Diversification-Performance Relationship in the U.S. Property-Liability Insurance Industry.” Journal of Risk and Insurance 75:567–591.

  • Fama, E. F., and K. R. French. 1992. “The Cross-section of Expected Stock Returns.” Journal of Finance 47:427–466.

  • Filson, D., and S. Olfati. 2014. “The Impacts of Gramm–Leach–Bliley Bank Diversification on Value and Risk.” Journal of Banking & Finance 41:209–221.

  • Fok, R. C. W., Y.-C. Chang, and W.-T. Lee. 2004. “Bank Relationships and Their Effects on Firm Performance around the Asian Financial Crisis: Evidence from Taiwan.” Financial Management 33 (2):89–112.

  • García-Herrero, A., and F. Vázquez. 2013. “International Diversification Gains and Home Bias in Banking.” Journal of Banking & Finance 37:2560–2571.

  • Gompers, P., J. Ishii, and A. Metrick. 2003. “Corporate Governance and Equity Prices.” Quarterly Journal of Economics 118:107–155.

  • Hao, L., and D. Q. Naiman. 2007. Quantile Regression. Thousand Oaks, CA: SAGE Publications.

  • Heckman, J. 1979. “Sample Selection Bias as a Specification Error.” Econometrica 47:153–161.

  • Hoechle, D., M. Schmid, I. Walter, and D. Yermack. 2012. “How Much of the Diversification Discount Can Be Explained by Poor Corporate Governance?.” Journal of Financial Economics 103:41–60.

  • Hoyt, R. E., and J. S. Trieschmann. 1991. “Risk/Return Relationships for Life-Health, Property- Liability, and Diversified Insurers.” Journal of Risk and Insurance 58:322–330.

  • Jensen, M. 1986. “Agency Costs of Free Cash Flow, Corporate Finance, and Takeovers.” The American Economic Review 76:323–329.

  • Koenker, R., and G. Bassett. 1978. “Regression Quantiles.” Econometrica 46:33–50.

  • Koenker, R., and K. Hallock. 2001. “Quantile Regression: An Introduction.” Journal of Economic Perspectives 15:143–156.

  • Laeven, L., and R. Levine. 2007. “Is There a Diversification Discount in Financial Conglomerates?.” Journal of Financial Economics 85:331–367.

  • Lang, L. H. P., and R. M. Stulz. 1994. “Tobin’s q, Corporate Diversification, and Firm Performance.” Journal of Political Economy 102:1248–1280.

  • Lee, B. S., and M. L. Li. 2012. “Diversification and Risk-adjusted Performance: A Quantile Regression Approach.” Journal of Banking and Finance 36:2157–2173.

  • Liebenberg, A. P., and D. W. Sommer. 2008. “Effect of Corporate Diversification: Evidence From Property-Liability Insurance Industry.” Journal of Risk and Insurance 75:893–919.

  • Ma, L., and L. Pohlman. 2008. “Return Forecasts and Optimal Portfolio Construction: A Quantile Regression Approach.” The European Journal of Finance 14:409–425.

  • Meador, J. W., H. E. Ryan, and C. D. Schellhorn. 2000. “Product Focus versus Diversification: Estimates of X-Efficiency for the US Life Insurance Industry.” In Performance of Financial Institution: Efficiency, Innovation, Regulation, eds T. H. Patrck and A. Z. Savros. New York: Cambridge University Press.

  • Montgomery, C. A. 1985. “Product-Market Diversification and Market Power.” Academy of Management Journal 28:789–798.

  • Myers, S. C., and J. A. Read. 2001. “Capital Allocation for Insurance Companies.” Journal of Risk and Insurance 68:545–580.

  • Phillips, R. D., J. D. Cummins, and F. Allen. 1998. “Financial Pricing of Insurance in the Multiple- Line Insurance Company.” Journal of Risk and Insurance 65:597–636.

  • Rivard, R. J., and C. R. Thomas. 1997. “The Effect of Interstate Banking on Large Bank Holding Company Profitability and Risk.” Journal of Economics and Business 49 (1):61–76.

  • Santalo, J., and M. Becerra. 2008. “Competition from Specialized Firms and the Diversification- Performance Linkage.” Journal of Finance 63 (2):851–883.

  • Schaeck, K. 2008. “Bank Liability Structure, FDIC Loss, and Time to Failure: A quantile Regression Approach.” Journal of Financial Services Research 33:163–179.

  • Scharfstein, D. S. 1998. The Dark Side of Internal Capital Markets II: Evidence from Diversified Conglomerates. NBER Working Paper No. 6352.

  • Servaes, H. 1996. “The Value of Diversification During the Conglomerate Merger Wave.” Journal of Finance 51:1201–1225.

  • Shim, J. 2010. “Capital-based Regulation, Portfolio Risk and Capital Determination: Empirical Evidence from the U.S. Property-Liability Insurers.” Journal of Banking and Finance 34:2450–2461.

  • Shim, J. 2011. “Mergers & Acquisitions, Diversification and Performance in the U.S. Property- Liability Insurance Industry.” Journal of Financial Service Research 39:119–144.

  • Shim, J. 2017. “An Investigation of Market Concentration and Financial Stability in Property- Liability Insurance Industry.” Journal of Risk and Insurance 84 (2):567–597.

  • Shin, H., and R. M. Stulz. 1998. “Are Internal Capital Markets Efficient?.” Quarterly Journal of Economics May:531–552.

  • Singhal, R., and Y. Zhu. 2013. “Bankruptcy Risk, Costs and Corporate Diversification.” Journal of Banking and Finance 37:1475–1489.

  • Stigler, G. L. 1964. “A Theory of Oligopoly.” Journal of Political Economy 72:44–61.

  • Stiroh, K. J. 2004. “Diversification in Banking: Is Noninterest Income the Answer?” Journal of Money, Credit, and Banking 36:853–882.

  • Stiroh, K. J., and A. Rumble. 2006. “The Dark Side of Diversification: The Case of US Financial Holding Companies.” Journal of Banking and Finance 30:2131–2161.

  • Stock, J. H., J. H. Wright, and M. Yogo. 2002. “A Survey of Weak Instruments and Weak Identification in Generalized Method of Moments.” Journal of Business and Economic Statistics 20:518–529.

  • Villalonga, B. 2004a. “Does Diversification Cause the “Diversification Discount”?” Financial Management 33:5–27.

  • Villalonga, B. 2004b. “Diversification Discount or Premium? New Evidence from BITS Establishment-level Data.” Journal of Finance 59:479–505.

  • Zanjani, G. 2002. “Pricing and Capital Allocation in Catastrophe Insurance.” Journal of Financial Economics 65:283–305.

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The Asia-Pacific Journal of Risk and Insurance ( APJRI) focuses on risk management and insurance issues of importance to the Asia-Pacific region. An interdisciplinary publication, APJRI facilitates the exchange of research in risk and insurance mathematics, economics, finance, and corporate practice. The journal welcomes theoretical and applied research papers on a variety of specific topics.