mojakoe - spa – febui – studi profesionalisme akuntan · ( 8 = 2 8 ® an p 120 .000 .000 =...

Metode Kuantitatif Dalam Bisnis

UTS Semester Genap 2014/2015

MOdul JAwaban KOEliah

Dilarangmemperbanyak MOJAKOE initanpaseijin SPA FEB UI. Download MOJAKOE dan SPA Mentoring di http://spa-feui.com

MOJAKOE

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t@spafebui fSPA FEB UI

Dilarangmemperbanyak MOJAKOE initanpaseijin SPA FEB UI

1 Download MOJAKOE dan SPA Mentoring di http://spa-feui.com



SOAL 1

1. 𝐹𝑉 = 𝑃𝑉 ∙ 𝑒𝑟𝑡

120.000.000 = 100000000 ∙ 𝑒𝑟∙1

𝑒𝑟 = 1.2

𝑟 = ln 1.2 = 0.182321556

𝑟 = 18.2% (𝐴)

2. 𝑃𝑉(1 + 𝑖)𝑡 = 𝑃𝑉𝑒𝑟𝑡

1 + 𝑖 = 𝑒𝑟

𝑟 = ln(1 + 𝑖)

𝑟 = ln(1 + 0.12)

𝑟 = ln 1.12

𝑟 = 0.113328685 = 11.33% 𝑝.𝑎 (𝐵)

3. 𝑖 = 𝑒𝑟 − 1

𝑖 = 𝑒0.06 − 1

𝑖 = 0.061836546 = 6.18% 𝑝.𝑎 (𝐶)

4. 1 +𝐽2

2

2= 1 +

𝐽4

4

4

𝐽4 = 1 +10%

2

1

2

− 1 ∙ 4

𝐽4 = 9.8780306% = 9.88% (𝐴)

5. 1 + 𝐽1 = 1 +𝐽12

12

12

𝐽12 = 1 + 𝐽1 1

12 − 1 ∙ 12

𝐽12 = 1.12 1

12 − 1 ∙ 12

𝐽12 = 0.113865515 = 11.39% (𝐷)

6. 3

97∙

365

35= 0.322533137 = 32.25% (𝐶)

7. 𝑟 =𝑑

1−𝑑𝑡=

9%

1−9%∙6

12

= 0.094240837

= 9.42%𝑝.𝑎 (𝐶)

8. 𝑑 =𝑟

1+𝑟𝑡=

8%

1+8%∙3

12

= 0.0 𝑚4%𝑝.𝑎 (𝐵)

9. 𝐸𝐴𝑌 = (1 +4

96)

365

150 − 1 = 10.44%𝑝.𝑎(𝐷)



10. Periode 1

∙

Periode 2

∙ −

Return tahunanaritmetik

−

𝐷

11. Return tahunangeometrik

√ ∙ −

𝐵

12. 𝑃𝑉 𝑃𝑉

𝑖

𝑖

𝑖 𝐷

13. 𝑃𝑉

∙

𝐷𝑃 − 𝑡𝑎 𝐵

14. 𝑃𝑉

∙ −

∙ ∙ {

}

15. Mulai 31 Januari

𝐹𝑉 { −

}

Mulai 1 Januari

𝐹𝑉 { −

}

∙

Selisih : −

𝑟𝑖 𝐴

16. 𝑃𝑉



Deposito saat ini

𝑖 𝑎𝑟 𝐶

17. 𝐽 𝐽

−

𝐹𝑉 { −

}𝐴

𝐴 𝑡𝑎 𝐴

18. 𝐽 𝐽

−

𝑃𝑉

=451,127,715.5= 451.13 juta (C)

19. {

}𝐴

𝐴

Angsuran Bunga Amortisasi Pokok

0 600,000,000

1 174,770,127.9 84,000,000 90,770,127.9 509,229,872.1

2 174,770,127.9 71,292,182.09

Pembayaran bunga tahun ke 2= 71.3 Juta (B)

20. ∙ {

}

−

𝑖

𝑖

𝐽 ∙ ∙

𝐶



SOAL 2

a. 𝑖

−

𝐴

𝐴 𝑟𝑎 𝐵 𝑎 𝑎

b. 𝑃𝑉 {

}

𝑖

−

𝐴

𝐴

c. 𝐴 𝐴

𝑃

−

SOAL 3

𝐹𝑉 { 𝑖 −

𝑖} 𝐴

{ 𝑖 −

𝑖}

{

𝑖 −

𝑖}

𝑖

Periode Setoran Bunga Saldo

0 18,000,000

18,000,000.00

1 18,000,000

2,597,379.24

38,597,379.24

2



18,000,000 5,569,557.31 62,166,936.55

3 18,000,000

8,970,617.25

89,137,553.80

4 18,000,000

12,862,446.21

120,000,000.01

Menurut saya investasi ini menarik karena menawarkan bunga yang cukup tinggi.

SOAL 4

PV=100,000,000

Angsuran= 20,000,000/bulan

a. Bunga Flat

𝑟 ∙

∙ 𝑟

𝑟

𝑟

b. BungaEfektif

−

𝑖

−

𝑖

Denganmetode Trial and Error

𝑖

𝑖

−

−

𝑖 −

−

𝑖

𝐽 ∙ ∙



TabelAmortisasiUtang

Periode Angsuran Bunga Amortisasi Pokok

0 100,000,000

1 20,000,000 5,471,800 14,528,200.00 85,471,800

2 20,000,000 4,676,845.952 15,323,154.05 70,148,645.95

3 20,000,000 3,838,393.609 16,161,606.39 53,987,039.56

4 20,000,000 2,954,062.831 17,045,937.17 36,941,102.39

5 20,000,000 2,021,343.241 17,978,656.76 18,962,445.63

6 20,000,000 1,037,587.1 18,962,412.90 32.73≈0

mojakoe - spa – febui – studi profesionalisme akuntan · ( 8 = 2 8 ® an p 120 .000 .000 =...

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