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Figure 12.7: Equivalent Annual Costs As A Function of Miles Driven

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Figure 12.7: Equivalent Annual Costs as a function of Miles Driven


$$(500)
$(1,000)

Equivalent Annual Cost

$(1,500)
$(2,000)
$(2,500)
$(3,000)

Break Even Point


$(3,500)
$(4,000)
$(4,500)
$(5,000)
1000

2000

3000

4000

5000

6000

7000

8000

Miles Driven
Equivalent Annuity - Used Car

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Equivalent Annuity - New Car

9000

10000

Equivalent Annuity
Used Car
New Car
Initial cost
$3,000
$8,000
Maintenance costs/year
$1,500
1000
Fuel costs/mile
$0.20
$0.05
Lifetime
4
5
Number of miles driven=
5000
Discount Rate for analysis =
15%
Net present value =
Equivalent Annuity =

$ (10,137.45) $ (12,190.19)
$ (3,550.80) $ (3,636.52)
Break-even Chart
Number of Miles
Equivalent Annuity
Equivalent
- Used Annuity
Car
- New Car
1000 $
(2,751) $
(3,437)
2000 $
(2,951) $
(3,487)
3000 $
(3,151) $
(3,537)
4000 $
(3,351) $
(3,587)
5000 $
(3,551) $
(3,637)
6000 $
(3,751) $
(3,687)
7000 $
(3,951) $
(3,737)
8000 $
(4,151) $
(3,787)
9000 $
(4,351) $
(3,837)
10000 $
(4,551) $
(3,887)

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Equal Lives
Year
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20

Old Car
-3000

-3000

-3000

-3000

-3000

Old Car Costs


Old Car: Total CostNew Car New Car Costs
-3000
-8000
-8000
-2500
-2500
-1250
-1250
-2500
-2500
-1250
-1250
-2500
-2500
-1250
-1250
-2500
-5500
-1250
-1250
-2500
-2500
-8000
-1250
-9250
-2500
-2500
-1250
-1250
-2500
-2500
-1250
-1250
-2500
-5500
-1250
-1250
-2500
-2500
-1250
-1250
-2500
-2500
-8000
-1250
-9250
-2500
-2500
-1250
-1250
-2500
-5500
-1250
-1250
-2500
-2500
-1250
-1250
-2500
-2500
-1250
-1250
-2500
-2500
-8000
-1250
-9250
-2500
-5500
-1250
-1250
-2500
-2500
-1250
-1250
-2500
-2500
-1250
-1250
-2500
-2500
-1250
-1250
-2500
-2500
-1250
-1250
($22,225.61)
($22,762.21)

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