PAKISTAN PREMIER FUND Risk free S.No
Month
Closing stock
Stock Return
Index
Market Return
(Rs)
rate (Rf)
6,559.83
Excess
Excess
Market Return Stock Return (X)
(Y)
XY
x2
1
15-Jan-05
14.25
0.04
2
15-Feb-05
14.85
0.042
7,402.80
0.13
0.05
0.08
-0.005
0
0.01
3
15-Mar-05
14.90
0.003
10,303.13
0.39
0.05
0.34
-0.046
-0.02
0.12
4
15-Apr-05
14.00
-0.060
7,512.91
-0.27
0.06
-0.33
-0.119
0.04
0.11
5
16-May-05
14.60
0.043
7,315.50
-0.03
0.07
-0.1
-0.027
0
0.01
6
15-Jun-05
14.65
0.003
7,488.73
0.02
0.07
-0.05
-0.071
0
0
7
15-Jul-05
16.25
0.109
7,535.81
0.01
0.08
-0.07
0.033
0
0
8
15-Aug-05
15.40
-0.052
7,122.98
-0.05
0.08
-0.13
-0.131
0.02
0.02
9
15-Sep-05
11.85
-0.231
7,979.48
0.12
0.08
0.04
-0.312
-0.01
0
10
14-Oct-05
13.10
0.105
8,863.87
0.11
0.08
0.03
0.024
0
0
11
15-Nov-05
13.25
0.011
8,889.72
0
0.08
-0.08
-0.070
0.01
0.01
12
15-Dec-05
14.15
0.068
9,488.70
0.07
0.08
-0.01
-0.013
0
0
13
16-Jan-06
15.80
0.117
10,093.52
0.06
0.08
-0.02
0.036
0
0
14
16-Feb-06
15.70
-0.006
11,259.29
0.12
0.08
0.03
-0.087
0
0
15
16-Mar-06
14.65
-0.067
10,392.91
-0.08
0.08
-0.16
-0.148
0.02
0.02
16
14-Apr-06
15.90
0.085
12,136.83
0.17
0.08
0.09
0.004
0
0.01
17
15-May-06
15.25
-0.041
11,096.86
-0.09
0.08
-0.17
-0.122
0.02
0.03
18
15-Jun-06
13.90
-0.089
9,177.46
-0.17
0.08
-0.26
-0.171
0.04
0.07
19
15-Jul-06
14.20
0.022
10,027.09
0.09
0.08
0.01
-0.062
0
0
20
14-Aug-06
14.50
0.021
10,317.41
0.03
0.09
-0.06
-0.066
0
0
21
15-Sep-06
11.70
-0.193
9,984.57
-0.03
0.09
-0.12
-0.280
0.03
0.01
22
15-Oct-06
12.70
0.085
10,909.31
0.09
0.09
0.01
-0.001
0
0
23
16-Nov-06
12.40
-0.024
10,811.86
-0.01
0.09
-0.1
-0.110
0.01
0.01
24
15-Dec-06
12.50
0.008
10,551.87
-0.02
0.09
-0.11
-0.078
0.01
0.01
25
15-Jan-07
12.20
-0.024
10,507.52
0
0.09
-0.09
-0.110
0.01
0.01
26
15-Feb-07
11.80
-0.033
11,467.96
0.09
0.09
0.01
-0.119
0
0
27
15-Mar-07
11.05
-0.064
11,310.90
-0.01
0.09
-0.1
-0.150
0.02
0.01
28
15-Apr-07
11.50
0.041
12,004.59
0.06
0.09
-0.03
-0.046
0
0
29
16-May-07
12.85
0.117
12,370.99
0.03
0.09
-0.06
0.030
0
0
30
15-Jun-07
14.15
0.101
13,438.47
0.09
0.09
0
0.014
0
0
31
15-Jul-07
15.75
0.113
13,945.03
0.04
0.09
-0.05
0.026
0
0
32
16-Aug-07
15.75
0.000
12,786.60
-0.08
0.09
-0.17
-0.091
0.02
0.03
33
15-Sep-07
11.40
-0.276
12,779.68
0
0.09
-0.09
-0.367
0.03
0.01
34
14-Oct-07
12.85
0.127
14,590.17
0.14
0.09
0.05
0.037
0
0
35
17-Nov-07
12.20
-0.051
13,110.81
-0.1
0.09
-0.19
-0.141
0.03
0.04
36
14-Dec-07
12.75
0.045
14,556.53
0.11
0.09
0.02
-0.049
0
0
37
15-Jan-08
12.55
-0.016
14,055.27
-0.03
0.09
-0.12
-0.106
0.01
0.02
TOTAL
-1.95
-2.891
0.29
0.56
CALCULATION OF BETA METHOD NO : 1
METHOD NO : 2
B= N∑XY - (∑x) * (∑Y)/N * (∑x2)-(∑x)2
B = (R s,m * Ss) / Sm
N
36.0000
Sm
0.11
∑ XY
0.2912
Ss
0.1
∑x
-1.9523
∑y
-2.8910
R s,m
0.35
∑ x2
0.5597
(∑x)2
3.8116
N∑ x2
20.1480
N∑ XY
10.4840
∑ x*∑ y
5.6442
N∑XY - (∑x) (∑Y)
4.8399
N(∑x2) - (∑x)2
16.3365
Beta - β
0.2963
Beta - β
0.3
ANALYSIS OF FUND MANAGER PERFORMANCE TREYNOR RATIO T = rp - rf /β rp
-0.12
rf
0.08
β
0.2963
T
-0.67
JENSEN ALPHA αj = Ri - ( Rf + βiM (RM - Rf))) Ri
-0.12
Rf
0.08
βiM
0.2963
RM
1.14
Rm =Pt-P(t-1)/P(t-1)
INDEX
E45-E9/E9 RM-Rf
1.06
βiM(RM-Rf)
0.31
Rf+βiM (RM-Rf))
0.4
αj
-0.5144
SHARPE RATIO S = E (R - Rf)/ σ Rp
-0.12
Rp =Pt-P(t-1)/P(t-1)
Rf
0.08
C45-C9/C9
σy
0.1
S
-1.25
Closing Stock
COMPOUND ANNUAL GROWTH RATE CAGR = (ending value/beginning value) (1/# of years) - 1 Ending value
12.55
Beginning value
14.25
E/B
0.88
1/ # of years
0.33
E/B (1/ # of years) -1
-0.04
SORTINO RATIO S = R - T / DR R
0.4
T=
Rf
0.08
DR =
σ
0.08
S
3.92
PAKISTAN PREMIER FUND S.No
Month
Closing stock
Stock Return
Index
Market Return Risk free rate
Rs
Rf
1
15-Jan-05
14.25
6,559.83
0.04
2
15-Feb-05
14.85
0.042
7,402.80
0.13
0.05
3
15-Mar-05
14.90
0.003
10,303.13
0.39
0.05
4
15-Apr-05
14.00
-0.060
7,512.91
-0.27
0.06
5
16-May-05
14.60
0.043
7,315.50
-0.03
0.07
6
15-Jun-05
14.65
0.003
7,488.73
0.02
0.07
7
15-Jul-05
16.25
0.109
7,535.81
0.01
0.08
8
15-Aug-05
15.40
-0.052
7,122.98
-0.05
0.08
9
15-Sep-05
11.85
-0.231
7,979.48
0.12
0.08
10
14-Oct-05
13.10
0.105
8,863.87
0.11
0.08
11
15-Nov-05
13.25
0.011
8,889.72
0
0.08
12
15-Dec-05
14.15
0.068
9,488.70
0.07
0.08
13
16-Jan-06
15.80
0.117
10,093.52
0.06
0.08
14
16-Feb-06
15.70
-0.006
11,259.29
0.12
0.08
15
16-Mar-06
14.65
-0.067
10,392.91
-0.08
0.08
16
14-Apr-06
15.90
0.085
12,136.83
0.17
0.08
17
15-May-06
15.25
-0.041
11,096.86
-0.09
0.08
18
15-Jun-06
13.90
-0.089
9,177.46
-0.17
0.08
19
15-Jul-06
14.20
0.022
10,027.09
0.09
0.08
20
14-Aug-06
14.50
0.021
10,317.41
0.03
0.09
21
15-Sep-06
11.70
-0.193
9,984.57
-0.03
0.09
22
15-Oct-06
12.70
0.085
10,909.31
0.09
0.09
23
16-Nov-06
12.40
-0.024
10,811.86
-0.01
0.09
24
15-Dec-06
12.50
0.008
10,551.87
-0.02
0.09
25
15-Jan-07
12.20
-0.024
10,507.52
0
0.09
26
15-Feb-07
11.80
-0.033
11,467.96
0.09
0.09
27
15-Mar-07
11.05
-0.064
11,310.90
-0.01
0.09
28
15-Apr-07
11.50
0.041
12,004.59
0.06
0.09
29
16-May-07
12.85
0.117
12,370.99
0.03
0.09
30
15-Jun-07
14.15
0.101
13,438.47
0.09
0.09
31
15-Jul-07
15.75
0.113
13,945.03
0.04
0.09
32
16-Aug-07
15.75
0.000
12,786.60
-0.08
0.09
33
15-Sep-07
11.40
-0.276
12,779.68
0
0.09
34
14-Oct-07
12.85
0.127
14,590.17
0.14
0.09
35
17-Nov-07
12.20
-0.051
13,110.81
-0.1
0.09
36
14-Dec-07
12.75
0.045
14,556.53
0.11
0.09
37
15-Jan-08
12.55
-0.016
14,055.27
-0.03
0.09
TOTAL
CALCULATION OF BETA METHOD NO : 1
METHOD NO : 2
B= N∑XY - (∑x) * (∑Y)/N * (∑x2)-(∑x)2
B = (R s,m * Ss) / Sm
N
36.0000
Sm
0.11
∑ XY
0.2912
Ss
0.1
∑x
-1.9523
∑y
-2.8910
R s,m
0.35
∑ x2
0.5597
(∑x)2
3.8116
N∑ x2
20.1480
N∑ XY
10.4840
∑ x*∑ y
5.6442
N∑XY - (∑x) (∑Y)
4.8399
N(∑x2) - (∑x)2
16.3365
Beta - β
0.2963
Beta - β
0.3
ANALYSIS OF FUND MANAGER PERFORMANCE TREYNOR RATIO T = rp - rf /β rp
13.71
rf
0.08
β
0.2963
T
46
JENSEN ALPHA αj = Ri - ( Rf + βiM (RM - Rf))) Ri
13.71
Rf
0.08
βiM
0.2963
RM
0.03
RM-Rf
-0.05
βiM(RM-Rf)
-0.02
Rf+βiM (RM-Rf))
0.06
αj
13.6448
SHARPE RATIO S = E (R - Rf)/ σ Rp
13.71
Rf
0.08 0.1
S
170.47
COMPOUND ANNUAL GROWTH RATE CAGR = (ending value/beginning value) (1/# of years) - 1 Ending value
12.55
Beginning value
14.25
E/B
0.88
1/ # of years
0.33
E/B (1/ # of years) -1
-0.04
SORTINO RATIO S = R - T / DR R
0.06
T=
Rf
0.08
DR =
σ
0.08
S
-0.2
MIER FUND Excess
Excess
XY
x2
Market Return(X) Stock Return(Y)
0.08
-0.005
0
0.01
0.34
-0.046
-0.02
0.12
-0.33
-0.119
0.04
0.11
-0.1
-0.027
0
0.01
-0.05
-0.071
0
0
-0.07
0.033
0
0
-0.13
-0.131
0.02
0.02
0.04
-0.312
-0.01
0
0.03
0.024
0
0
-0.08
-0.070
0.01
0.01
-0.01
-0.013
0
0
-0.02
0.036
0
0
0.03
-0.087
0
0
-0.16
-0.148
0.02
0.02
0.09
0.004
0
0.01
-0.17
-0.122
0.02
0.03
-0.26
-0.171
0.04
0.07
0.01
-0.062
0
0
-0.06
-0.066
0
0
-0.12
-0.280
0.03
0.01
0.01
-0.001
0
0
-0.1
-0.110
0.01
0.01
-0.11
-0.078
0.01
0.01
-0.09
-0.110
0.01
0.01
0.01
-0.119
0
0
-0.1
-0.150
0.02
0.01
HOD NO : 2 s,m * Ss) / Sm
-0.03
-0.046
0
0
-0.06
0.030
0
0
0
0.014
0
0
-0.05
0.026
0
0
-0.17
-0.091
0.02
0.03
-0.09
-0.367
0.03
0.01
0.05
0.037
0
0
-0.19
-0.141
0.03
0.04
0.02
-0.049
0
0
-0.12
-0.106
0.01
0.02
-1.95
-2.891
0.29
0.56
PERFORMANCE