TUGAS EKTEK KELAS B

SEMESTER GENAP 2014/2015

Ketentuan pengerjaan tugas:

1. Kerjakan secara berkelompok (maksimal 5 orang per kelompok).

2. Kerjakan setiap soal pada satu lembar A4.

3. Silahkan gunakan kertas A4 bekas, dengan catatan: bagian yang berisikan pengerjaan tugas

Anda tidak kotor.

4. Tugas dikumpulkan pada hari Rabu, tanggal 25 Maret 2015, paling lambat jam 7.45.

Problem 1. A loan of $10,000 is made today at an interest rate of 15%, and the first payment of $3000 is made 4 years later. The amount that is still due on the loan after the first payment is most nearly? Problem 2. With an interest rate of 8% compounded semiannually, the value of a $1000 investment after 5 years is most nearly? Problem 3. A new alloy can be produced by two Processes: Process A and Process B. Process A will costs $200.000 to implement. The operating cost will be $10.000 per quarter with a salvage value of $25.000 after its 2-year life. Process B will have a first cost of $250.000, an operating cost of $15.000 per quarter, and a $40.000 salvage value after its 4-year life. The interest rate is 8% per year compounded monthly. By using present value analysis which process should be selected?

Problem 4. At age 30 you invest $5,000 into a mutual fund. If the fund averages an 8% annual return, your investment is worth how much at age 55? Problem 5. You are saving up for a big investment in six years. You estimate it will take $14,500 to secure this investment. How much do you need to put into a savings account at the end of each year if the savings account earns 4%? Neglect taxes. Problem 6. A new bridge project is being evaluated at i = 5%. Recommend an alternative based on the capitalized cost for each

Construction Cost

Annual O&M Life (years)

Concrete $ 50 million $ 250.000 70

Steel $ 40 million $ 1.000.000 50

Problem 7. You are buying your first car and need to borrow $16,000 over 5 years. If interest is 6%, what are your monthly payments? Problem 8. You are considering investing in a 5-yr CD (certificate of deposit) with an annual yield of 6.5% and monthly compounding. If you invest $5,000, your effective interest earned is most nearly ... Problem 9. An investment option is available with continuous compounding at 5% interest. If you invest $8,000 now, how much interest income will you earn if you cash out in 3.5 years?

TUGAS EKTEK KELAS B

SEMESTER GENAP 2014/2015

Problem 10. A firm is choosing between machines that perform the same task in the same time. Assume the minimum attractive return is 8%. Which machine would you choose?

Machine X Machine Y

First cost $ 5.000 $ 8.000

Estimated life, in years 5 12

Salvage value 0 $ 2.000

Annual maintenance cost 0 $ 150

Problem 11. Wayward Airfreight, Inc. has asked you to recommend a new automatic parcel sorter. You have obtained the following bids:

SHIP-R SORT-Of U-SORT-M

First cost $ 184.000 $ 235.000 $ 180.000

Salvage value $ 38.300 $ 44.000 $ 14.400

Annual benefit $ 75.300 $ 89.000 $ 68.000

Yearly O&M cost $ 21.000 $ 21.000 $ 12.000

Useful life, in years 7 7 7

(a) Construct a choice table for interest rates from 0% to 100%. (b) Using MARR of 15% and a rate of return analysis, which alternative, if any, should be

selected? Problem 12. Three mutually exclusive alternatives are being studied.

Year SHIP-R SORT-Of U-SORT-M

0 -$ 20.000 -$ 20.000 -$ 20.000

1 $ 10.000 $ 10.000 $ 5.000

2 $ 5.000 $ 10.000 $ 5.000

3 $ 10.000 $ 10.000 $ 5.000

4 $ 6.000 0 $ 15.000

(a) Construct a choice table for interest rates from 0% to 100%. (b) If the MARR is 12%, which alternative should be selected?

Problem 13. The manager in a canned food processing plant is trying to decide between two labeling machines.

Machine A Machine B

First cost $ 15.000 $ 25.000

O&M cost $ 1.600 $ 400

Annual benefit $ 8.000 $ 11.000

Salvage value $ 3.000 $ 6.000

Estimated life, in years 7 $ 10

Assume an interest rate of 12%. Use annual cash flow analysis to determine which machine should be chosen.