PPT EKONOMI TEKNIK

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EKONOMI TEKNIK

Nilai Ekuivalensi Sekarang

Kode : 122210282

Eko Nursubiyantoro

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Perhitungan dilakukan dengan cara menarik nilai akan datang pada masa sekarang, atau nilai tahunan setiap periode di tarik pada masa sekarang.

Present Worth Analysis

Menghitung nilai uang sepanjang horison perencanaan pada persamaan waktu saat ini

0 1 2 3 4 5 6

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Formulasi

Contoh ^4-01

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If you wished to have $800 in a savings account at the end of Four years, and 5% interest was paid annually, how much should you put into the savings account now?

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UNIVERSITAS PEMBANGUNAN NASIONAL”VETERAN”YOGYAKARTA JURUSAN TEKNIK INDUSTRI

Uniform Series

Contoh ^4-02

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An investor hold a time payment purchase contract on same machine tools. The contract call for the payment of $140 at the end of each month for a five year period. The first payment is due in one month. He offers to sell you the contract for $6800 cash to day. If you otherwise can make 1%

per month on your money, would you accept or reject the investor’s offer?

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Arithmetic Gradient

P

Contoh ^4-03

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A man purchased a new automobile. He wishes to set aside enough money in a bank account to pay the maintenance on the car for the first five years It has been estimated that the maintenance cost of auto mobile is as follows:

Assume the maintenance cost occur at the end of each year and that the bank pays 5% interest. How much should the deposit in the bank now?

Year 1 2 3 4 5

Maintenance cost ($) 120 150 180 210 240

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Contoh ^4-04

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An example of this would be where the maintenance cost for an automobile are $100 the first year and increasing at a uniform rate, g, of 10% per year. For the first five year, the cash flow would be:

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Contoh ^4-05

^{: (i} ^ ^g)

The first year maintenance cost for a new automobile is estimated to be $100, and it increases at a uniform rate of 10%

per year. What the present worth of cost of the first five years of maintenance in this situation, using an 8% interest rate?

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Contoh 4-06

In 3 years, you need $400 to pay a debt. In two more years, you need $600 more to pay a second debt. How much should you put in the bank today to meet these two needs if the bank pays 12% per year?

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Solusi 4-06

0 1 2 3 4 5

$ 400

$ 600 P = ...?

i = 12%

0 1 2 3 4 5

$ 400

$ 600 P = ...?

i = 12% P1 P2

P = P1 + P2 (P/F, 12%, 3)

P1 = A (P/A, 12%, 3)

= 400 (2,4018)

= $ 960,733 P2 = A (P/A, 12%, 2)

= 600 (1,6901)

= $ 1014,031

= 960,733 + 1014,031 (0,7118)

= 960,733 + 721,767

= $ 1682,499

Jumlah yang harus di simpan di bank hari ini Adalah $ 1682,488

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Contoh menggunakan tabel bunga

Dicari faktor bunga dengan i = 12%, kemudian n=5 dan akan dicari nilai Faktor bunga F/P.

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Contoh 4-07

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Solusi

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Contoh 4-08

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Contoh 4-09

An engineer has received two bids for an elevator to be installed in a new building. The bids, plus his evaluation of the elevators, are as follows:

The engineer will make a present worth analysis using a l0%

interest rate. Prepare the analysis and determine which bid should be accepted.

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