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EKONOMI REKAYASA. PERTEMUAN 1 PENDAHULUAN & NPV. Oleh : Arwan Apriyono P. Setyo Nugroho. PROGRAM STUDI TEKNIK SIPIL JURUSAN TEKNIK FAKULTAS SAINS DAN TEKNIK UNSOED TAHUN 2011. Lay Out Presentasi Pengertian ekonomi teknik Formula/Rumus Tingkat bunga NPW. I NTRODUCTION. ?.

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slide1

EKONOMI REKAYASA

PERTEMUAN 1

PENDAHULUAN & NPV

Oleh :

Arwan Apriyono

P. Setyo Nugroho

PROGRAM STUDI TEKNIK SIPIL JURUSAN TEKNIK

FAKULTAS SAINS DAN TEKNIK UNSOED

TAHUN 2011

lay out presentasi pengertian ekonomi teknik formula rumus tingkat bunga npw
Lay Out Presentasi

Pengertian ekonomi teknik

Formula/Rumus

Tingkat bunga

NPW

slide5

INTRODUCTION

Menyewa/

Membeli?

slide6

INTRODUCTION

Finansial

Decision Making

Infuence Factor

-Inflasi & Deflasi

-Pajak

-Depreciation

  • Metode Pengambilan Keputusan
  • NPV/NPW
  • ROR/IRR
  • B/C

Pengetahuan Dasar

-Nilai uang (PV, FV, AV)

-Suku bunga (Rerata , Majemuk)

-Cost and Benefit

-Cast flow diagram

slide7

Materi :

  • Pendahuluan dan NPW
  • Analisis investasi ROR/IRR
  • Analisis investasi B/C
  • Inflasi & Deflasi
  • Pajak
  • Depreciation/Penurunan nilai
  • Replacement Analysis
  • Referensi :
  • Donald G Newnan et al, 2004, Engineering Economic Analysis, Oxford University Press, Newyork
  • Abol Ardalan, 2000, Economic & Financial Anaysis for Engineering & Project Management, Technomic Publishing Company Book, Pennsylvania
  • Perry Beaumon, 2004, Financial Engineering Principle, Wiley, New Jersey
  • Chan S Park, Fundamental of Engineering Economics, Pearson Education Inc, New Jersey
  • Peter Cassimatis, 1992, Introduction to Engineering Economic, Taylor & Francir Routledge, London

RENCANA KULIAH

MESTI BANYAK EXERCISE.

slide10

MANFAAT

-----------

slide17

P/F : mencari nilai P dari nilai F; jadi nilai F sudah diketahui

A/F : mencari nilai A dari nilai F; jadi nilai F sudah diketahui

langkah perhitungan
Langkah perhitungan
  • Tuliskan yang diketahui
  • Gambarkan dalam bentuk diagram
  • Hitung yang ditanyakan
latihan 15
Latihan (15’)
  • Berapa uang harus diinvestasikan untuk mendapatkan 750.000 selama waktu 3 tahun dengan bunga majemuk 10% per tahun ?

2. Berapa yang harus disimpan di bank untuk mendapatkan 15.500.000 selama 2 tahun pada bunga majemuk 1,5 % per bulan ?

slide22
No. 1

F = 750.00000

n = 3 tahun

I = 10 %

P = F(F/P, i, n) = 750.000(F/P, 0.1, 3) = 563.486

No. 2

F = 15.500.000

n= 2 tahun = 24 bulan

i = 1.5 %

  • P = F(F/P, i, n) = 15.500.000(F/P, 0.015 , 24) = 10.842.930,75
slide26

Contoh :

Suatu lembaga pembiayaan dalam iklannya menyatakan bahwa bunga pinjaman bunga nominal 12% setahun (sebesar 1% sebulan, dihitung per bulan karena pembayaran biasanya tiap bulan) Berapa sebetulnya bunga efektif dalam setahun?

I efektif = (1+0,12/12)12 - 1 =

Dalam perhitungan ekonomi teknik, jika tanpa penjelasan maka bunga yang dimaksud adalah bunga nominal, bukan bunga efektif.

Jika dinyatakan bahwa bunga setahun 36%, maka 36% adalah bunga nominal dalam setahun, sehingga bunga dalam sebulan adalah3%

Bunga efektif selalu lebih besar daripada bunga nominal

slide27

INTRODUCTION

Menghitung total biaya dan manfaat yang dihasilkan dari suatu kasus/proyek.

Prinsip dasar

Metode Pengambilan Keputusan

slide28

NPV/NPW

  • NET PRESENT VALUE / NET PRESENT WORTH
  • The net difference of the present benefits and costs
  • NPV = PV of Benefit – PV of cost
  • Alternatif yang paling baik adalah yang memiliki NPV terbesar
slide29

NPV/NPW

  • Example
  • A car leasing company buys a car from a wholesaler for $24,000 and leases it to a customer for four years at $5,000 per year.
  • Since the maintenance is not included in the lease, the leasing company has to spend $400 per year in servicing the car.
  • At the end of the four years, the leasing company takes back the car and sells it to a secondhand car dealer for
  • $15,000.
  • Calculate the NPV for the case if we will not consider tax, inflation, and depreciation (interest of rate 10%)?
slide30

NPV/NPW

ANALYSIS

Step 1 : Making cost flow diagram

slide31

NPV/NPW

ANALYSIS

Step 2 : Calculate PV of Cost and Benefit

PV of cost = $24000

PV of Benf = A(P/A, i, n) + F(P/F, i, n)

= 4600 * ((1+0.1)3 – 1)/(0.1(1+0.1)3) + 19600*(1+0.1)-4

= 11439,52 + 13387,1

= $24826,62

slide32

NPV/NPW

ANALYSIS

Step 3 : Calculate NPV

Total Cost = 24,000

Total Benefit = 11439.52 + 13387.1 = 24826.62

Net Worth of the Project = 826.62

slide33

NPV/NPW

ANALYSIS

Step 3 : Calculate NPV

Total Cost = 24,000

Total Benefit = 11439.52 + 13387.1 = 24826.62

Net Worth of the Project = 826.62

slide34

NPV/NPW

CONTOH SOAL

Suppose the leasing company of Example 2.1 has to choose between the following two projects:

1. Lease the car exactly as the case in Example 2.1 which had a net present worth of $826.62

2. Buy a car at $40,000, lease it for two years at $12,000 per year with no maintenance cost, and sell it

for $24,000 at the end of two years.

slide35

36000

  • NPV/NPW

16000

ANALYSIS

Step 1 : Making cost flow diagram

slide36

NPV/NPW

ANALYSIS

= -40000 + 12000 (P/A, 10,3) - 16000 (P/F,10,2) + 36000 (P/F,10,4)

= -40000 + 12000 (2.487) -16000 (0.8264) + 36000 (0.6830)

= 1,209.6

Since project 2 has a higher NPW, it would be the project to choose

NPW makin besar, makin baik untuk investasi.

task 1 due date 24 oct 2011 diketik diprint pada kertas a4 diberi cover tugas 1 ekonomi rekayasa
Task 1. (due date 24 Oct 2011)diketik diprint pada kertas A4, diberi cover tugas 1 ekonomi rekayasa

1-In a housing project the following sequence of events occurs.

At the start of the project (time zero), land is bought at $1,000,000

Two months later, $100,000 is paid to the architect for preparing the design

In month 4, construction is started and the cost of construction (labor and material) is $ 150,000 per month. Every month, one house is built (a total of 12 houses); the first one is ready for sale in month 6. During every month starting from month 8, one house is sold for a price of $ 250,000 each. After all of the houses are built and before all are sold, the cost of maintaining the site is $10,000 per month.

Draw the cash flow diagram.

2-Mr. Shop purchases a pizza shop for $120,000. Its operation will result in a net income of $15,000/Yr for the first year, increasing by $2,000 each year after year 1. At the end of the fifth year, the shop is sold for $155,000. Draw the cash flow diagram for this project.

3-A credit card company announces that its interest rate is 1.5% per month.

What is the corresponding effective annual interest rate?