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You are planning to buy snow removal equipment - (a sure way to make money in NY

ID: 2758700 • Letter: Y

Question

You are planning to buy snow removal equipment - (a sure way to make money in NY in April!). The machine you need costs $55,000 and has operating and maintenance costs that start at $15,000 the first year and increase by $2,000 per year each year thereafter. Assume that the salvage value at the end of 5 years is $2,000 and interest rate is 12%. What is the equivalent annual cost (i.e. annual worth) of owning and operating the machine?

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Explanation / Answer

F

G

H

I

J

K

L

4

Years

Cost

Operating and maintanance

Salavage value

Net cost

Dis factor @12%

Discounted cashflow

5

0

-55000

SUM(G5:I5)

                      1.000

J5*K5

6

1

-15000

SUM(G6:I6)

K5/1.12

J6*K6

7

2

H6-2000

SUM(G7:I7)

K6/1.12

J7*K7

8

3

H7-2000

SUM(G8:I8)

K7/1.12

J8*K8

9

4

H8-2000

SUM(G9:I9)

K8/1.12

J9*K9

10

5

H9-2000

2000

SUM(G10:I10)

K9/1.12

J10*K10

11

NPV

SUM(L5:L10)

12

Discount factor

SUM(K6:K10)

13

Equivalent annual cost

L11/L12

F G H I J K L 4 Years Cost Operating and maintanance Salavage value Net cost Dis factor @12% Discounted cashflow 5 0 -55000 -55000                       1.000                             -55,000 6 1 -15000 -15000                       0.893                             -13,393 7 2 -17000 -17000                       0.797                             -13,552 8 3 -19000 -19000                       0.712                             -13,524 9 4 -21000 -21000                       0.636                             -13,346 10 5 -23000 2000 -21000                       0.567                             -11,916 11 NPV                         -1,20,731 12 Discount factor                                 3.605 13 Equivalent annual cost -33491.9048
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