2009 57 2 393 411 c 2009 1 1 1 2009 1 15 7 21 7 22 1 1 1 1 1 1 1 1. 1 1 1 2 3 4 12 2000 147 31 1 3,941 596 1 528 1 372 1 1 1.42 350 1197 1 13 1
394 57 2 2009 1 1 19 2002 2005 4.8 1968 5 93SNA 6 12 1 7, 2005;, 2006 8 1 1 1 1 1 1 2. 1 1 12 1 1 2.1 (2.1) Y E k /N E k Y W k /N W k k =1,...,37 N Y E Executive 9 W Worker k 37 10 1 12 1 1 1 1 1 1.05 2.35 2 3 2.1 1 1 2 1 0.19 1
1 1 395 1. 12 1 1 0.40 1 1 2 1 372 5000 1 369 1 528 1000 5000 581 1.42 200 1.39 1 19 10
396 57 2 2009 2. 2000 12 1 1 2.1 1 1 1 1 1 1 1 1 1 1 0 1 1 3 A B 0 C 0 D 0 E F G 255 0 13 5 0 43 17 0 5 2 0 15 56 0 11 0 0
1 1 397 3. 2000 12 0 1 1 2.2 1 1 1 1 1 1 2.1 2.2 1 Mijk l=1 M Y ijkl/n E ijkl E ijk (2.2) R ijk = 1 Mijk l=1 M Y ijkl W /N ijkl W ijk i,j =2,...,17, k=1,...,37
398 57 2 2009 R M i 1 j 1 l ijkl 1 i 1 j k l 37 1 4 0 i,j =1 i,j =18 18 2.2 2 0 49 17 1000 3. 1 1 1 1 13 14 4 2000 1 1 M ijk (i,j =1,...,18, k=1,...,37) 0 0 1 0 4. 2000 1 1
1 1 399 1 1 0 5 2000 1 1 1 M ijk l=1 Y W ijkl/n W ijkl (i,j =2,...,18, k=1,...,37) 5 1 0 49 1 15 6 2000 1 1 5. 2000 1 1 1
400 57 2 2009 6. 2000 1 1 1 1 1 M ijk M ijk l=1 Y E ijkl/n E ijkl (i,j =2,...,18, k=1,...,37) 6 6 1 0 49 0 5 6 7 1 1 R ijk (i,j =2,...,17, k=1,...,37) 1 1 0 1 0 49 1 700 799 1378.8 7 1 100 149
1 1 401 7. 2000 1 1 1 1 4. 1 1 4 7 1 1 1 1 1 1 8 (4.1) (4.2) R k = S k = 17 17 i=2 j=2 i=2 i=2 M ijk M ijk j=2 M ijk j=2 M ijk R ijk k =1,...,37 i=2 j=2 (R ijk R k ) 2 k =1,...,37 R k S k 0 8 21.67 145.46 1 0 49 1 0 1 1 50
402 57 2 2009 8. 2000 1 1 0 9 (4.3) (4.4) R k = S k = 17 17 i=3 j=3 i=3 i=3 M ijk M ijk j=3 M ijk j=3 M ijk R ijk k =1,...,37 i=3 j=3 (R ijk R k) 2 k =1,...,37 9 8 2.57 2.38 2.53 2.04 1 1.67 21.67 2.78 145.46 2.43 1 1.16 2 0 0 1 4.3
1 1 403 9. 2000 1 1 0 1 1 50 12 2.1 1 45 2.1 1.489 t 28.9 0.97 1.5 5. 0 0 0 12 10 2000
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1 1 405 11. 2000 1 1
406 57 2 2009 12. 2000 1 1
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408 57 2 2009 6. 1 0 2006 80 80 13 1985 2000 4 4.3 16 2.1 13 13 1985 13. 4 1 1
1 1 409 7. 1 1 1 1 1 1 0 0 1 1 0 49 12 1.5 1 13 4981 715 2 AFL-CIO paywatch 1 1 average CEO to average worker pay ratio http://www.aflcio.org/corporatewatch/paywatch/pay/ 2008 3 15 1 1 average executive officer to average worker pay ratio the disparity ratio between executive officer s average payroll to worker s average payroll 3 2006 2007 4 5 2007a pp. 20 21 6 2007b 1
410 57 2 2009 7 2004 p. 356 8 2003 1997 10 9 8 2005 2006 9 10 12 37 11 http://www.mof.go.jp/ssc/nenpotebiki1.pdf 2009 1 5 12 13 14 1 1 6 15 http://www.mof.go.jp/ssc/nenpotebiki1.pdf 2009 1 5 16 2006. No. 668 31 45 2007a. 19 2007b. SNA 19 2005. 1990 No. 10 1 18 2003. DP/03-1 1 55 2004. 12 2000
Proceedings of the Institute of Statistical Mathematics Vol. 57, No. 2, 393 411 (2009) 411 Measurement Methodology of Disparity Ratio between Executive Officer s Average Payroll and Worker s Average Payroll by Using the Financial Statements Statistics of Corporations by Industry Mikio Suga Faculty of Economics, Tokyo International University The disparity ratio between executive officer s average payroll and worker s average payroll is often used to analyze the allocation of corporate earnings, or to estimate the macro personal income. However, this ratio is not the official figure of the Ministry of Finance (MOF), and researchers calculate it from published data of Financial Statements Statistics of Corporations by Industry (FSSCI). This paper examines the measurement methodology of disparity ratio. I find that the disparity ratio calculated by the published data of FSSCI is possibly understated for two reasons. First, the executive officer s average payroll (numerator) mainly reflects the payroll of small corporations. On the other hand, the worker s average payroll (denominator) mainly reflects the payroll of large corporations. Second, both an executive officer s payroll and a worker s payroll are higher for larger corporations. Based on these findings, I propose a new disparity ratio calculated from micro data of FSSCI in the following manner. First, I calculate an executive officer s average payroll and a worker s average payroll by company and observe its distribution. Second, I calculate the disparity ratio in which the weight of each company is equal. I thus find that the disparity ratio calculated from published macro data is smaller than that calculated from micro data. Key words: Financial Statements Statistics of Corporations by Industry, worker, executive officer, payroll, disparity ratio.