Tugas 1 - Interest

 

TUGAS SI-4151 Ekonomi Teknik

Tugas ke-1

1.  What will be the t he accumulated amount of Rp 1.750.000,- compounded annually for three years at the rate of 15% p.a? Diketahui: P = Rp 1.750.000 i = 0,15 n=3 Jawab:

                             End of Year   Year

Amount Owed at the Beginning of Period  Period 

0 1 2 3

Rp

Interest   Interest

Amount Owed at the End of Period  Period 

Amount Paid  Paid 

1,750,000.00 Rp Rp Rp

262,500.00 301,875.00 347,156.25

Rp Rp Rp

2,012,500.00 2,314,375.00 2,661,531.25

Rp Rp Rp

2,661,531.25   2,661,531.25

2.  How much do you have to save now if you’d like to have Rp. 12.500.000,12.500.000,- to start a new company 3 years from now at the interest rate of 12% per year? Diketahui: F = Rp 12.500.000 i = 0,12 n=3 Jawab:

           

 



        End of Year   Year 0

Amount Owed at the Beginning of Period  Period  Rp

Interest   Interest

Amount Owed at the End of Period  Period 

Amount Paid  Paid 

8,897,253.10

1

Rp

1,067,670.37

Rp

9,964,923.47

Rp

-

2

Rp

1,195,790.82

Rp 11,160,714.29

Rp

-

3

Rp

1,339,285.71

Rp 12,500,000.00

Rp 12,500,000.00

Widya Hapsari 15012101  15012101 

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TUGAS SI-4151 Ekonomi Teknik

Tugas ke-1

3.  What is the rate of return of an initial investment worth Rp. 30 million that yield Rp. 45.000.000,- after 3 years? Diketahui: P = Rp 30.000.000 F = Rp 45.000.000 n=3 Jawab:

                        End of Year   Year 0

Amount Owed at the Beginning of Period  Period  Rp

Interest   Interest

Amount Owed at the End of Period  Period 

Amount Paid  Paid 

30,000,000.00

1

Rp

4,341,427.00

Rp

34,341,427.00

Rp

-

2

Rp

4,969,694.00

Rp

39,311,121.00

Rp

-

3

Rp

5,688,879.00

Rp

45,000,000.00

Rp

45,000,000.00

4.  An initial investment of Rp. 50 million is being considered. The revenues from this investment are Rp 20 million at the end of first year, Rp 25 million and Rp 15 million at the end of second and third third years. If the alternative will gi give ve a revenue of Rp 57,5 57,5 million at the end of the third year, which investment would you recommend? The interest rate is set at 10% annually. Diketahui: P = Rp 50.000.000 i = 0,1 Jawab: CARA I Years

Initial Investment

Interest Charged

1

Rp 50,000,000.00

Rp 5,000,000.00

Rp 55,000,000.00

Rp 20,000,000.00

Amount We Have at The End of Period Rp 35,000,000.00

2

Rp 35,000,000.00

Rp 3,500,000.00

Rp 38,500,000.00

Rp 25,000,000.00

Rp 13,500,000.00

3

Rp 13,500,000.00

Rp 1,350,000.00

Rp 14,850,000.00

Rp 15,000,000.00

-Rp

150,000.00

-Rp

150,000.00

Sisa

Widya Hapsari 15012101  15012101 

Amount in The End

Revenues

2

 

TUGAS SI-4151 Ekonomi Teknik

Tugas ke-1

CARA II Years

Amount at Beginning Period

Interest Charged

Amount at The End Period

1

Rp 50,000,000.00

Rp 5,000,000.00

Rp 55,000,000.00

-

-

2

Rp 55,000,000.00

Rp 5,500,000.00

Rp 60,500,000.00

-

-

3

Rp 60,500,000.00

Rp 6,050,000.00

Rp 66,550,000.00

Rp 57,500,000.00

Rp 9,050,000.00

Sisa

Revenues

Amount We Have at The End of Period

Rp 9,050,000.00

Berdasarkan perhitungan yang dilakukan di atas, diperoleh bahwa hasil perhitung perhitungan an dari alternatif 1 adalah  –  Rp 150,000.00 sedangkan hasil perhitungan dari alternatif 2 adalah Rp 9,050,000.00. Alternatif 1 merupakan alternatif yang seharusnya dipilih karena memberikan keuntungan lebih banyak dibandingkan dengan alternatif ke-2.

Widya Hapsari 15012101  15012101 

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