What replacement analysis technique can be used in this


Problem 13-9 - In this problem you are to determine when the existing drill press (the defender) purchased two years ago for

$40,000 should be replaced by the new drill press (the challenger) having the uniform annual cost (UAC) of $7000. The yearly cost data for the defender are available in the problem and tabulated in the table in part (a). Solve this problem by completing the marginal cost table and answer questions below.

a) Complete the marginal cost table of the defender below (ref. Example 13-3 and 13-4)

YEAR

MARKET VALUE (MV)

MARGINAL COSTS FOR YEAR n

If equip. is kept to year n

LOST IN MV

INTEREST ON MV

O & M COSTS

TOTAL MARGINAL COSTS

PWC
Marginal Costs

EUAC
Marginal Costs

0 (Now)

$15,000

 

 

 

 

 

 

1

$12,000

$3,000

$1,500

$2,700

$7,200

$6,545

$7,200

2

$10,000

$2,000

 

$2,900

 

 

 

3

$8,000

$2,000

 

$3,300

 

 

 

4

$6,000

$2,000

 

$3,700

 

 

 

5

$4,000

$2,000

 

$4,200

 

 

 

6

$2,000

$2,000

 

$4,700

 

 

 

b) Is the total marginal cost increasing or decreasing?

c) What replacement analysis technique can be used in this case?

d) When should the drill press be replaced with the new drill press having EUAC of $7000?

Problem 13-10 - Complete the table below to confirm $17,240 is the minimum UAC if the machine is kept to year 4.

YEAR

CASH FLOW

If equip is kept to year n

 

n

Equip. Cost

SV = MARKET VALUE

 

Maintenance

PW to year n

EUAC To

year n

0

-$50,000

 

 

 

 

1

 

$40,000

-$3,500

 

 

2

 

$32,000

-$5,500

 

 

3

 

$25,600

-$7,500

 

 

4

 

$20,480

-$9,500

 

-$17,240

5

 

$16,384

-$11,500

 

 

6

 

$13,107

-$13,500

 

 

Problem 13-23 - Complete the table below and determine the economic life of the pipe:                years.

 

YEAR

MARKET VALUE (MV)

MARGINAL COST FOR YEAR n

If equip. is kept to year n

LOST IN MV

INTEREST ON MV

O & M COSTS

TOTAL MARGINAL COSTS

PWC

Marginal Costs

EUAC
Marginal Costs

0

$25

$0

 

 

 

 

 

1

$0

-$25

-$4

-$8.50

-$37.25

-$32.39

-$37.25

2

$0

$0

$0

-$14.50

 

 

 

3

$0

$0

$0

-$20.50

 

 

 

4

$0

$0

$0

-$26.50

 

 

 

5

$0

$0

$0

-$32.50

 

 

 

Problem 13-50 - Complete the tables below to determine the after-tax costs of keeping the old folklift and the new folklift. Should the company kept the old folklift for the present or replace it now with the new one?                                          

KEEP OLD FOLKLIFT

YEAR

BTCF

SL
Depr.

TI

Income Tax @ 40%

ATCF

EUAC if kept to year n

0

$0

 

 

 

 

 

1

-$400

$0

 

 

 

 

2

-$600

$0

 

 

 

 

3

-$800

$0

 

 

 

 

4

-$1,000

$0

 

 

 

 

5

-$1,400

$0

 

 

 

 

6

-$1,400

$0

-$1,400

$560

-$840

-$531

7

-$1,400

$0

-$1,400

$560

-$840

-$565

8

-$1,400

$0

-$1,400

$560

-$840

-$591

9

-$1,400

$0

-$1,400

$560

-$840

-$611

10

-$1,400

$0

-$1,400

$560

-$840

-$627

BUY NEW FORKLIFT

YEAR

BTCF

SL
Depr.

TI

Income Tax @ 40%

ATCF

EUAC if kept to year n

0

-$6,500

 

 

 

-$6,500

 

1

-$50

$650

-$700

$280

$230

-$6,790

2

-$50

$650

-$700

$280

$230

-$3,415

3

-$50

$650

-$700

$280

$230

-$2,292

4

-$50

$650

-$700

$280

$230

-$1,732

5

-$50

$650

 

 

 

 

6

-$50

$650

 

 

 

 

7

-$50

$650

 

 

 

 

8

-$50

$650

 

 

 

 

9

-$50

$650

 

 

 

 

10

-$50

$650

 

 

 

 

Problem 14-23

1) In the table below, calculate yearly inflation rate and the average inflation rate for the last 5 years.

Years ago

Average Home Price

Inflation Rate

5

$265,000

 

4

$267,000

 

3

$272,000

 

2

$280,000

 

1

$283,000

 

0

$288,000

 

 

Average =

 

2) What is your estimate of the inflation rate for next year?

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Econometrics: What replacement analysis technique can be used in this
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