THE AUMANN-SERRANO PERFORMANCE INDEX OF DOW 30 COMPONENTS AND DOW JONES INDUSTRIAL AVERAGE BEFORE AND AFTER THE GLOBAL FINANCIAL CRISIS
We apply the Aumann-Serrano performance index to DOW 30 components and Dow Jones Industrial Average before and after the global financial crisis. The evaluation of the Aumann-Serrano performance index is relevant for risk-averse investors who are more concerned with losses than gains and different from the industry-standard performance measure of the Sharpe ratio. We show how the performance of DOW 30 components and their index changes in three years after the global financial crisis and contrasts to that before the global financial crisis. In other words, we show what happened to the evaluation of DOW 30 components and their index each year after the global financial crisis. We obtain the results using daily return data with and without dividends.
performance measure, Aumann-Serrano performance index, Sharpe ratio, global financial crisis.
Received: October 8, 2023; Accepted: November 25, 2023; Published: December 6, 2023
How to cite this article: Jiro Hodoshima, The Aumann-Serrano performance index of DOW 30 components and Dow Jones industrial average before and after the global financial crisis, Far East Journal of Theoretical Statistics 68(1) (2024), 53-79. http://dx.doi.org/10.17654/0972086324004
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] R. Aumann and R. Serrano, An economic index of riskiness, Journal of Political Economy 116 (2008), 810-836.[2] P. Cogneau and G. Hübner, The (more than) 100 ways to measure portfolio performance, Part 1: standardized risk-adjusted measure, Journal of Performance Measurement 13 (2009a), 56-71.[3] P. Cogneau and G. Hübner, The (more than) 100 ways to measure portfolio performance, Part 2: special measures and comparison, Journal of Performance Measurement 14 (2009b), 56-69.[4] M. Eling and F. Schuhmacher, Does the choice of performance measure influence the evaluation of hedge funds? Journal of Banking and Finance 31 (2007), 2632-2647.[5] S. Farinelli, M. Ferreira, D. Rossello, M. Thoeny and L. Tibiletti, Beyond Sharpe ratio: optimal asset allocation using different performance ratios, Journal of Banking and Finance 32 (2008), 2057-2063.[6] D. Foster and S. Hart, An operational measure of riskiness, Journal of Political Economy 117 (2009), 785-814.[7] S. Hart, Comparing risks by acceptance and rejection, Journal of Political Economy 119 (2011), 617-638.[8] J. Hodoshima, Stock performance by utility indifference pricing and the Sharpe ratio, Quantitative Finance 19 (2019), 327-338.[9] J. Hodoshima, Evaluation of performance of stock and real estate investment trust markets in Japan, Empirical Economics 61 (2021), 101-120.[10] J. Hodoshima and Y. Miyahara, Utility indifference pricing and the Aumann-Serrano performance index, J. Math. Econom. 86 (2020), 83-89.[11] J. Hodoshima and T. Yamawake, Sensitivity of performance indexes to disaster risk, Risks 9 (2021), 40. https://doi.org/10.3390/risks9020040.[12] U. Homm and C. Pigorsch, Beyond the Sharpe ratio: an application of the Aumann-Serrano index to performance measurement, Journal of Banking and Finance 36 (2012), 2274-2284.[13] O. Kadan and F. Liu, Performance evaluation with high moments and disaster risk, Journal of Financial Economics 113 (2014), 131-155.[14] Y. Miyahara, Risk-sensitive value measure method for projects evaluation, Journal of Real Options and Strategy 3 (2010), 185-204.[15] Y. Miyahara, Evaluation of the scale risk, RIMS Kokyuroku, No. 1886, Financial Modeling and Analysis (2013/11/20-2013/11/22), 2014, pp. 181-188.[16] C. Niu, X. Guo, M. McAleer and W. K. Wong, Theory and application of riskiness for general gambles, International Review of Economics and Finance 56 (2018), 383-396.[17] F. Riedel and T. Hellmann, The Foster-Hart measure of riskiness for general gambles, Theoretical Economics 10 (2015), 1-9.