statistique, théorie et gestion de portefeuille - Docs at ISFA

µ µ2 1/2 µ4 1/4 µ6 1/6 µ8 1/8
0.10% 0.92% 1.36% 1.79% 2.15%
0.12% 0.96% 1.43% 1.89% 2.28%
0.14% 1.05% 1.56% 2.06% 2.47%
0.16% 1.22% 1.83% 2.42% 2.91%
0.18% 1.47% 2.21% 2.92% 3.55%
0.20% 1.77% 2.65% 3.51% 4.22%
Table 1: This table presents the risk measured by µ 1/n
n
(daily) return µ.
µ
µ 1/2
2
µ
µ 1/4
4
467
for n=2,4,6,8, for a given value of the expectedd
µ
µ 1/6
6
µ
C 1/4
4
µ
C 1/6
6
Wall Mart 0.0821 0.0555 0.0424 0.0710 0.0557
EMC 0.0801 0.0552 0.0430 0.0730 0.0612
Intel 0.0737 0.0512 0.0397 0.0694 0.0532
Hewlett Packard 0.0724 0.0472 0.0354 0.0575 0.0439
IBM 0.0705 0.0465 0.0346 0.0574 0.0421
Merck 0.0628 0.0415 0.0292 0.0513 0.0331
Procter & Gamble 0.0590 0.0399 0.0314 0.0510 0.0521
General Motors 0.0586 0.0362 0.0247 0.0418 0.0269
SBC Communication 0.0584 0.0386 0.0270 0.0477 0.0302
General Electric 0.0569 0.0334 0.0233 0.0373 0.0258
Applied Material 0.0525 0.0357 0.0269 0.0462 0.0338
MCI WorldCom 0.0441 0.0173 0.0096 0.0176 0.0098
Medtronic 0.0432 0.0278 0.0202 0.0333 0.0237
Coca-Cola 0.0430 0.0278 0.0207 0.0335 0.0252
Exxon-Mobil 0.0410 0.0256 0.0178 0.0299 0.0197
Texas Instrument 0.0324 0.0224 0.0171 0.0301 0.0218
Pfizer 0.0298 0.0184 0.0131 0.0213 0.0148
Table 2: This table presents the values of the generalized Sharpe ratios for the set of seventeen assets listed
in the first column. The assets are ranked with respect to their Sharpe ratio, given in the second column. The
third and fourth columns give the generalized Sharpe ratio calculated with respect to the fourth and sixth
centered moments µ4 and µ6 while the fifth and sixth columns give the generalized Sharpe ratio calculated
with respect to the fourth and sixth cumulants C4 and C6.
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