CONTOH KASUS
 Perusahaan Telkom sedang menghadapi 2 proyek yang mutually exclusive yaitu proyek A dan B dengan arus kas sbb :
| proyek | 0 | 1 | 2 | 
| A | -5000 | 3600 | 2880 | 
| B | -3000 | 2440 | 1490 | 
-Menghitung IRR dan NPV kedua proyek tersebut dengan menggunakan r=15%
-Menghitung Incremental IRR dan NPV untuk menentukan proyek mana yang seharusnya diterima?
1)      Proyek A
3600 =3600x0,8696=  3130,56
=3600x0,8696=  3130,56
 =3600x0,8696=  3130,56
=3600x0,8696=  3130,56 2880
2880 =2880x0,7561=  2177,57
=2880x0,7561=  2177,57PV of proceed                         5308,13
PV of cost                               5000
 NPV                                          308,13
NPV                                          308,135000=

5000(1+i) =2880(1+i)+3600
=2880(1+i)+3600
 =2880(1+i)+3600
=2880(1+i)+36005000(1+2i+i )=2880=2880i+3600
)=2880=2880i+3600
 )=2880=2880i+3600
)=2880=2880i+36005000+10000i+5000i =2880+2880i+3600
=2880+2880i+3600
 =2880+2880i+3600
=2880+2880i+36005000i +7120i-1480=0
+7120i-1480=0
 +7120i-1480=0
+7120i-1480=0i i
i =
=
 i
i =
=
=

=

i =
= i
                                      i =
=
 =
= i
                                      i =
=
   =0,18                                                                = -1,61
IRR=18%
2)      Proyek B
2440 2440x0,8696=  2121,82
2440x0,8696=  2121,82
 2440x0,8696=  2121,82
2440x0,8696=  2121,82 1490
1490 = 1490x0,7561=  1126,59
= 1490x0,7561=  1126,59PV of Proceed                                    3248,41
PV of cost                               3000
 NPV                                          248,41
NPV                                          248,413000=

3000(1+i) =1490-(1+i)+2440
=1490-(1+i)+2440
 =1490-(1+i)+2440
=1490-(1+i)+24403000(1+2i+i )=1490+1490i+2440
)=1490+1490i+2440
 )=1490+1490i+2440
)=1490+1490i+24403000+6000i+3000i =1490+1490i+2440
=1490+1490i+2440
 =1490+1490i+2440
=1490+1490i+24403000+6000i+3000i =1490+1490i+2440
=1490+1490i+2440
 =1490+1490i+2440
=1490+1490i+24403000i +4510i-930=0
+4510i-930=0
 +4510i-930=0
+4510i-930=0i i
i =
=
 i
i =
=
=

=

=

i =
= i
                                     i =
=
 =
= i
                                     i =
=
   =0,18                                                                =-1,69
IRR=18%
Incremental IRR dan NPV
| proyek | 0 | 1 | 2 | NPV(15%) | IRR | 
| A | -5000 | 3600 | 2880 | 308,13 | 18% | 
| B | -3000 | 2440 | 1490 | 248,41 | 18% | 
|  | -2000 | 1160 | 1390 | 59,72 | 18% | 
2000= +
+
 +
+
2000=(1+i) =1390(1+i)+1160
=1390(1+i)+1160
 =1390(1+i)+1160
=1390(1+i)+11602000=(1+2i+i )=1390+1390i+1160
)=1390+1390i+1160
 )=1390+1390i+1160
)=1390+1390i+11602000+4000i+2000i -1390+1390i+1160
-1390+1390i+1160
 -1390+1390i+1160
-1390+1390i+11602000i +2610i-550=0
+2610i-550=0
 +2610i-550=0
+2610i-550=0i i
i =
=
 i
i =
=
=

=

=

i =
= i
                                      i =
=
 =
= i
                                      i =
=
   =0,18                                                                =-1,49
IRR=18%
Variasi NPV
Memulai investasi dengan NPV dengan metode penyusutan yang dipercepat
DDB   =2x

            =2x

| tahun | description | akm depreciation | nilai buku | 
| 1 |  x1500 |   750 | 750 | 
| 2 |  x750 | 1125 | 375 | 
| 3 |  x375 | 1312,5 | 187,5 | 
| 4 |  187,25 | 1406,25 |   93,75 | 
 
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