Value Design

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engr3200_value_design_-summer_2015-test_1.docx

1. Costs for maintenance of buildings at an industrial complex are expected to be $1,000 in year three, $1,200 in year four and amounts increasing by $200 per year thereafter through year nine. At an interest rate of 10% per year, find the present worth of the expenditures using arithmetic gradient formulas.

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http://highered.mheducation.com/olcweb/styles/shared/spacer.gif 2. The costs of fuel for a smelting operation are expected to be $50,000 in year three, $52,500 in year four and amounts increasing by 5% per year thereafter through year ten. At an interest rate of 8% per year, find the present worth of the fuel cost

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3. An investment of $1,000 per year in years four through ten is equivalent to a single investment in year eleven at an interest rate of 10% per year. Find this value.

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4. Payments of $1,000 in year two and $4,000 in year five are equivalent to uniform payments in years three through seven at an interest rate of 10% per year. Find the amount of those payments

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5. The bond has been purchased for 15,000 dollars. It is a 25-year bond with a $20,000 face value and 8% coupon rate (with interest paid semiannually)? The bond will be kept to maturity. The effective interest rate for MARR rate is 10% per year compounded annually. Should the investor buy the bond. Why?

6. Problems 6 through 7 are based on the following statement:

The data for new and used machines are shown below:

Used machine

New machine

Initial cost($)

15,000

40,000

Annual operating cost ($/year)

8,000

2,000

Salvage value ($)

5,000

10,000

Life (years)

3

6

Use an interest rate of 10% per year.

The present worth of the new machine is equal to?

7. To compare the machines on the basis of a present worth analysis, calculate the present worth of the machines. Which machine you will pick? Why?

8. For an 8%, $10,000 bond with interest payable quarterly, find the amount and frequency of the payments.