Internal Rate of Return
Content
No
Proceed
Discount vektor
(lihat tabel A-1)
Present Value (PV)
8%
1
2
3
4
400,000
400,000
200,000
100,000
No
Proceed
1
2
3
4
400,000
400,000
200,000
100,000
No
1
2
3
4
No
1
2
3
4
Proceed
400,000
400,000
200,000
100,000
Proceed
400,000
400,000
200,000
100,000
0.926
0.857
0.794
0.735
Present Value (PV)
Investasi
Net Present Value
(NPV)
Discount vektor
(lihat tabel A-1)
15%
0.870
0.756
0.658
0.572
Present Value (PV)
Investasi
Net Present Value
(NPV)
Discount vektor
(lihat tabel A-1)
17%
0.855
0.731
0.624
0.534
Present Value (PV)
Investasi
Net Present Value
(NPV)
Discount vektor
(lihat tabel A-1)
18%
0.848
0.718
0.609
0.516
Present Value (PV)
Investasi
Net Present Value
(NPV)
370,400
342,800
158,800
73,500
945,500
800,000
145,500
Present Value (PV)
348,000
302,400
131,600
57,200
839,200
800,000
39,200
Present Value (PV)
342,000
292,400
124,800
53,400
812,600
800,000
12,600
Present Value (PV)
339,200
287,200
121,800
51,600
799,800
800,000
(200)
SOAL
No Proyek A Proyek B
1
200,000
450,000
2
200,000
220,000
3
200,000
200,000
4
200,000
130,000
5
200,000
130,000
6
200,000
130,000
Proyek A
No
1
2
3
4
5
6
Tahun
Investasi
200,000
200,000
200,000
200,000
200,000
200,000
Proyek B
EAT Proyek A (Investasi)
200,000 100,000
200,000 100,000
200,000 100,000
200,000 100,000
200,000 100,000
200,000 100,000
average EAT
=
=
=
=
=
=
100,000
100,000
100,000
100,000
100,000
100,000
100,000
Tahun
Investasi
450,000
220,000
200,000
130,000
130,000
130,000
EAT Proyek B (Investasi)
450,000 120,000
220,000 120,000
200,000 120,000
130,000 120,000
130,000 120,000
130,000 120,000
average EAT
=
=
=
=
=
=
330,000
100,000
80,000
10,000
10,000
10,000
90,000
SOAL
Net Investment
Proyek A
600,000
Proyek B
720,000
Penyusutan Proyek A =
Penyusutan Proyek B =
Average Investasi Proyek A =
Average Investasi Proyek B =
600,000 / 6 =
720,000 / 6 =
100,000
120,000
ARR Proyek A =
100,000
X 100% = 33.33%
300,000
600,000 / 2 =
720,000 / 2 =
300,000
360,000
ARR Proyek A =
90,000
X 100% = 25.00%
360,000
Proyek
A
B
C
D
E
F
Net Invesment
(Rp)
800,000
700,000
1,000,000
400,000
600,000
1,100,000
IRR
(%)
12
20
16
8
15
11
Susun rangking berdasarkan IRR (%) yang paling besar
`
B
C
E
jumlah
A
F
D
Net Invesment
(Rp)
700,000
1,000,000
600,000
2,300,000
(mendekati 2.500.000
jadi proyek A, F, D ditolak)
proyek A, F, D ditolak
IRR
(%)
20
16
15
12
11
8
Jadi proyek A, F dan D ditolak
Berdasarkan data-data dibawah ini kombinasi proyek maa yang dipilih?
Proyek
A
B
C
D
E
F
Net Invesment
(Rp)
800,000
700,000
1,000,000
400,000
600,000
1,100,000
IRR
(%)
12
20
16
8
15
11
Present Value
(PV)
1,000,000
1,120,000
1,450,000
360,000
810,000
1,265,000
Jawab :
Susun berdasarkan IRR (%) yang paling besar
Proyek
B
C
E
jumlah
A
F
D
Net Invesment
(Rp)
700,000
1,000,000
600,000
2,300,000
800,000
1,100,000
400,000
IRR
(%)
20
16
15
jml
12
11
8
Present Value
(PV)
1,120,000
1,450,000
810,000 Jumlah Present Value (PV) = Present Value - Net Invesment
3,380,000
3,380,000 - 2,300,000 =
1,000,000
1,265,000
360,000
ent Value (PV) = Present Value - Net Invesment
1,080,000
Tabel A-1
N
1%
1 0.990
2 0.980
3 0.971
4 0.961
5 0.951
6 0.942
7 0.933
8 0.923
9 0.914
10 0.903
2%
0.980
0.961
0.942
0.924
0.906
0.888
0.871
0.853
0.837
0.820
3%
0.970
0.943
0.915
0.888
0.863
0.837
0.813
0.789
0.766
0.744
4%
0.962
0.925
0.889
0.854
0.822
0.790
0.760
0.731
0.703
0.676
5%
0.952
0.907
0.864
0.823
0.784
0.746
0.711
0.731
0.703
0.676
6%
0.943
0.890
0.840
0.792
0.747
0.705
0.665
0.627
0.592
0.558
7%
0.935
0.873
0.816
0.763
0.713
0.666
0.623
0.583
0.544
0.508
8%
0.926
0.857
0.794
0.735
0.681
0.630
0.583
0.540
0.500
0.463
9%
0.917
0.842
0.772
0.708
0.650
0.596
0.547
0.502
0.460
0.422
10%
0.909
0.826
0.751
0.683
0.621
0.564
0.513
0.467
0.424
0.386
11%
0.901
0.812
0.731
0.659
0.593
0.535
0.482
0.434
0.391
0.352
12%
0.893
0.797
0.712
0.636
0.567
0.507
0.452
0.404
0.361
0.322
13%
0.885
0.783
0.693
0.613
0.543
0.480
0.425
0.376
0.333
0.295
14%
0.877
0.796
0.675
0.675
0.519
0.456
0.400
0.351
0.308
0.270
15%
0.870
0.756
0.658
0.658
0.497
0.432
0.376
0.327
0.284
0.242
N
1
2
3
4
5
6
7
8
9
10
22%
0.820
0.672
0.551
0.451
0.370
0.303
0.249
0.204
0.167
0.137
23%
0.813
0.661
0.537
0.467
0.355
0.289
0.235
0.191
0.155
0.126
24%
0.806
0.650
0.524
0.423
0.341
0.275
0.222
0.179
0.144
0.116
25%
0.800
0.640
0.512
0.410
0.328
0.262
0.210
0.168
0.134
0.107
26%
0.794
0.630
0.500
0.397
0.315
0.250
0.198
0.157
0.125
0.099
27%
0.787
0.620
0.488
0.384
0.303
0.238
0.188
0.148
0.116
0.092
28%
0.781
0.610
0.477
0.373
0.291
0.227
0.178
0.139
0.108
0.085
29%
0.781
0.601
0.466
0.361
0.280
0.217
0.168
0.130
0.101
0.078
30%
0.769
0.592
0.455
0.350
0.269
0.207
0.159
0.123
0.094
0.073
31%
0.763
0.582
0.445
0.340
0.259
0.198
0.151
0.115
0.088
0.067
32%
0.758
0.574
0.435
0.330
0.250
0.189
0.143
0.108
0.082
0.062
33%
0.752
0.565
0.425
0.320
0.240
0.181
0.136
0.102
0.077
0.068
34%
0.746
0.056
0.416
0.310
0.231
0.173
0.129
0.096
0.072
0.054
35%
0.741
0.557
0.406
0.301
0.223
0.165
0.122
0.091
0.067
0.497
21%
0.826
0.683
0.564
0.467
0.386
0.319
0.263
0.218
0.180
0.149
16%
0.862
0.743
0.641
0.553
0.476
0.410
0.354
0.305
0.263
0.227
17%
0.855
0.731
0.624
0.534
0.456
0.390
0.333
0.285
0.243
0.208
18%
0.848
0.718
0.609
0.516
0.437
0.370
0.314
0.266
0.225
0.191
19%
0.840
0.706
0.593
0.499
0.419
0.352
0.296
0.249
0.209
0.176
20%
0.833
0.694
0.579
0.482
0.402
0.335
0.279
0.233
0.194
0.162
36%
0.735
0.541
0.398
0.292
0.215
0.158
0.116
37%
0.730
0.533
0.389
0.284
0.207
0.151
0.110
38%
0.725
0.525
0.381
0.276
0.200
0.145
0.105
39%
0.719
0.518
0.372
0.268
0.193
0.139
0.139
40%
0.714
0.512
0.364
0.260
0.186
0.133
0.095
Proceed
Discount vektor
(lihat tabel A-1)
Present Value (PV)
8%
1
2
3
4
400,000
400,000
200,000
100,000
No
Proceed
1
2
3
4
400,000
400,000
200,000
100,000
No
1
2
3
4
No
1
2
3
4
Proceed
400,000
400,000
200,000
100,000
Proceed
400,000
400,000
200,000
100,000
0.926
0.857
0.794
0.735
Present Value (PV)
Investasi
Net Present Value
(NPV)
Discount vektor
(lihat tabel A-1)
15%
0.870
0.756
0.658
0.572
Present Value (PV)
Investasi
Net Present Value
(NPV)
Discount vektor
(lihat tabel A-1)
17%
0.855
0.731
0.624
0.534
Present Value (PV)
Investasi
Net Present Value
(NPV)
Discount vektor
(lihat tabel A-1)
18%
0.848
0.718
0.609
0.516
Present Value (PV)
Investasi
Net Present Value
(NPV)
370,400
342,800
158,800
73,500
945,500
800,000
145,500
Present Value (PV)
348,000
302,400
131,600
57,200
839,200
800,000
39,200
Present Value (PV)
342,000
292,400
124,800
53,400
812,600
800,000
12,600
Present Value (PV)
339,200
287,200
121,800
51,600
799,800
800,000
(200)
SOAL
No Proyek A Proyek B
1
200,000
450,000
2
200,000
220,000
3
200,000
200,000
4
200,000
130,000
5
200,000
130,000
6
200,000
130,000
Proyek A
No
1
2
3
4
5
6
Tahun
Investasi
200,000
200,000
200,000
200,000
200,000
200,000
Proyek B
EAT Proyek A (Investasi)
200,000 100,000
200,000 100,000
200,000 100,000
200,000 100,000
200,000 100,000
200,000 100,000
average EAT
=
=
=
=
=
=
100,000
100,000
100,000
100,000
100,000
100,000
100,000
Tahun
Investasi
450,000
220,000
200,000
130,000
130,000
130,000
EAT Proyek B (Investasi)
450,000 120,000
220,000 120,000
200,000 120,000
130,000 120,000
130,000 120,000
130,000 120,000
average EAT
=
=
=
=
=
=
330,000
100,000
80,000
10,000
10,000
10,000
90,000
SOAL
Net Investment
Proyek A
600,000
Proyek B
720,000
Penyusutan Proyek A =
Penyusutan Proyek B =
Average Investasi Proyek A =
Average Investasi Proyek B =
600,000 / 6 =
720,000 / 6 =
100,000
120,000
ARR Proyek A =
100,000
X 100% = 33.33%
300,000
600,000 / 2 =
720,000 / 2 =
300,000
360,000
ARR Proyek A =
90,000
X 100% = 25.00%
360,000
Proyek
A
B
C
D
E
F
Net Invesment
(Rp)
800,000
700,000
1,000,000
400,000
600,000
1,100,000
IRR
(%)
12
20
16
8
15
11
Susun rangking berdasarkan IRR (%) yang paling besar
`
B
C
E
jumlah
A
F
D
Net Invesment
(Rp)
700,000
1,000,000
600,000
2,300,000
(mendekati 2.500.000
jadi proyek A, F, D ditolak)
proyek A, F, D ditolak
IRR
(%)
20
16
15
12
11
8
Jadi proyek A, F dan D ditolak
Berdasarkan data-data dibawah ini kombinasi proyek maa yang dipilih?
Proyek
A
B
C
D
E
F
Net Invesment
(Rp)
800,000
700,000
1,000,000
400,000
600,000
1,100,000
IRR
(%)
12
20
16
8
15
11
Present Value
(PV)
1,000,000
1,120,000
1,450,000
360,000
810,000
1,265,000
Jawab :
Susun berdasarkan IRR (%) yang paling besar
Proyek
B
C
E
jumlah
A
F
D
Net Invesment
(Rp)
700,000
1,000,000
600,000
2,300,000
800,000
1,100,000
400,000
IRR
(%)
20
16
15
jml
12
11
8
Present Value
(PV)
1,120,000
1,450,000
810,000 Jumlah Present Value (PV) = Present Value - Net Invesment
3,380,000
3,380,000 - 2,300,000 =
1,000,000
1,265,000
360,000
ent Value (PV) = Present Value - Net Invesment
1,080,000
Tabel A-1
N
1%
1 0.990
2 0.980
3 0.971
4 0.961
5 0.951
6 0.942
7 0.933
8 0.923
9 0.914
10 0.903
2%
0.980
0.961
0.942
0.924
0.906
0.888
0.871
0.853
0.837
0.820
3%
0.970
0.943
0.915
0.888
0.863
0.837
0.813
0.789
0.766
0.744
4%
0.962
0.925
0.889
0.854
0.822
0.790
0.760
0.731
0.703
0.676
5%
0.952
0.907
0.864
0.823
0.784
0.746
0.711
0.731
0.703
0.676
6%
0.943
0.890
0.840
0.792
0.747
0.705
0.665
0.627
0.592
0.558
7%
0.935
0.873
0.816
0.763
0.713
0.666
0.623
0.583
0.544
0.508
8%
0.926
0.857
0.794
0.735
0.681
0.630
0.583
0.540
0.500
0.463
9%
0.917
0.842
0.772
0.708
0.650
0.596
0.547
0.502
0.460
0.422
10%
0.909
0.826
0.751
0.683
0.621
0.564
0.513
0.467
0.424
0.386
11%
0.901
0.812
0.731
0.659
0.593
0.535
0.482
0.434
0.391
0.352
12%
0.893
0.797
0.712
0.636
0.567
0.507
0.452
0.404
0.361
0.322
13%
0.885
0.783
0.693
0.613
0.543
0.480
0.425
0.376
0.333
0.295
14%
0.877
0.796
0.675
0.675
0.519
0.456
0.400
0.351
0.308
0.270
15%
0.870
0.756
0.658
0.658
0.497
0.432
0.376
0.327
0.284
0.242
N
1
2
3
4
5
6
7
8
9
10
22%
0.820
0.672
0.551
0.451
0.370
0.303
0.249
0.204
0.167
0.137
23%
0.813
0.661
0.537
0.467
0.355
0.289
0.235
0.191
0.155
0.126
24%
0.806
0.650
0.524
0.423
0.341
0.275
0.222
0.179
0.144
0.116
25%
0.800
0.640
0.512
0.410
0.328
0.262
0.210
0.168
0.134
0.107
26%
0.794
0.630
0.500
0.397
0.315
0.250
0.198
0.157
0.125
0.099
27%
0.787
0.620
0.488
0.384
0.303
0.238
0.188
0.148
0.116
0.092
28%
0.781
0.610
0.477
0.373
0.291
0.227
0.178
0.139
0.108
0.085
29%
0.781
0.601
0.466
0.361
0.280
0.217
0.168
0.130
0.101
0.078
30%
0.769
0.592
0.455
0.350
0.269
0.207
0.159
0.123
0.094
0.073
31%
0.763
0.582
0.445
0.340
0.259
0.198
0.151
0.115
0.088
0.067
32%
0.758
0.574
0.435
0.330
0.250
0.189
0.143
0.108
0.082
0.062
33%
0.752
0.565
0.425
0.320
0.240
0.181
0.136
0.102
0.077
0.068
34%
0.746
0.056
0.416
0.310
0.231
0.173
0.129
0.096
0.072
0.054
35%
0.741
0.557
0.406
0.301
0.223
0.165
0.122
0.091
0.067
0.497
21%
0.826
0.683
0.564
0.467
0.386
0.319
0.263
0.218
0.180
0.149
16%
0.862
0.743
0.641
0.553
0.476
0.410
0.354
0.305
0.263
0.227
17%
0.855
0.731
0.624
0.534
0.456
0.390
0.333
0.285
0.243
0.208
18%
0.848
0.718
0.609
0.516
0.437
0.370
0.314
0.266
0.225
0.191
19%
0.840
0.706
0.593
0.499
0.419
0.352
0.296
0.249
0.209
0.176
20%
0.833
0.694
0.579
0.482
0.402
0.335
0.279
0.233
0.194
0.162
36%
0.735
0.541
0.398
0.292
0.215
0.158
0.116
37%
0.730
0.533
0.389
0.284
0.207
0.151
0.110
38%
0.725
0.525
0.381
0.276
0.200
0.145
0.105
39%
0.719
0.518
0.372
0.268
0.193
0.139
0.139
40%
0.714
0.512
0.364
0.260
0.186
0.133
0.095
