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ijcrb.webs.com INTERDISCIPLINARY JOURNAL OF CONTEMPORARY RESEARCH IN BUSINESS JUNE 2011 VOL 3, NO 2 Table 5- Comparing of amounts of variables Variable 2 δ P E P W A W B W C Marquitz model 0/06 0/1318 29% 0 71% Real amount 0/052 0/2756 37% 58% 0/5% equality inequality It is necessary to calculate performances of two portfolios for confirming or rejecting the hypothesis and then compare the amount of performance of the portfolio based on Marquitz model and the real portfolio of market. To do this we can use performance criterion of portfolio which has been presented by Sharp. This criterion shows a combination of performance of portfolio which is called ratio of reward to variability (RVAR) that is shown in the following. E P − E RVAR = F δ E P = return of portfolio E F = mean return without risk δ P = risk of the portfolio E F is obtained from the annual return mean in the time period of 1998-2006. RVAR for two portfolios is as the following. = RVAR 0 /1318 − 0 /13277 = = 0 / 2449 1 − P 0 / 00396 Reward to variability based on Marquitz model Reward to real variability 0 / 2756 − 0 /13277 = RVAR = = 0 / 2366 2 − 0 / 6036 As it is obtained the real amount of RVAR is higher than Marquitz model. By considering the obtained amount we can conclude that Marquitz model is not efficient with required to the above data and the time period. For testing the fifth hypothesis and the effect of time on the model, data is divided in to tree period of 1998-2000, 2001-2003 and 2004-2007 and efficiency of Marquitz model is evaluated separately in these three periods. These results for the three time periods are illustrated in the table below. COPY RIGHT © 2011 Institute of Interdisciplinary Business Research 334
ijcrb.webs.com INTERDISCIPLINARY JOURNAL OF CONTEMPORARY RESEARCH IN BUSINESS JUNE 2011 VOL 3, NO 2 Table 6- Time classification of variables Difference of Portfolio's Portfolio's efficiency Return Real Marquitz Variable peri efficiency average amount model od without risk RAVR 2 − RAVR1 = 2/ 69 0 /195 − /14 1 = = 1/ 19 / 046 14 0.018 0.046 S 2 P1 RVAR 1 real Marquitz 0 /195 − /14 = = 1/19 / 046 0 / 21− /14 2 = = 3/ 88 0 / 018 14 0.21 0.195 14 0.186 0 E P 1 W A 1 1999-2001 RVAR 2 real Marquitz 14 0.073 0.055 W B 1 14 0.082 0.045 W C 1 RAVR 2 − RAVR1 = 2 / 9 0 / 778 − /13 = = 2 / 3 0 / 278 RVAR 1 real Marquitz 13 0.05 0.278 13 0.47 0.778 S 2 P2 E P 2 0 / 47 − 0 /13 = = 6 / 8 0 / 05 RVAR 2 real Marquitz 13 0.379 1 0.582 0 13 W A 2 W B 2 2002-2004 13 0.037 0 W C 2 RAVR 2 − RAVR1 = 179 /1 = / 039 − /128 = −223 / 0004 RVAR 1 real Marquitz 12.8 0.0011 0.0004 12.8 0.08 0.039 S 2 P3 E P 3 / 08 − 0 /128 = = −43/ 90 / 0011 RVAR 2 real Marquitz 12.8 0.0416 0.1 12.8 0.561 0 W A 3 W B 3 2005-2007 12.8 0.022 0.99 W C 3 COPY RIGHT © 2011 Institute of Interdisciplinary Business Research 335
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