Explain

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FIN5823CAMERAWARRANTYEXAMPLE.docx

EXAMPLE

Step 1:

Simulation Model:

Warranty costs for camera

Inputs

Parameters of time to failure distribution of any new camera (Gamma)

Desired mean

2.5

Desired stdev

1

Implied alpha

6.250

Implied beta

0.400

Warranty period

1.5

Cost of new camera (to customer)

$400

Replacement cost (to company)

$225

Discount rate

8%

Simulation of new camera and its replacements (if any)

Camera

1

2

3

4

5

Lifetime

2.442

NA

NA

NA

NA

Time of failure

2.442

NA

NA

NA

NA

Cost to company

0

0

0

0

0

Discounted cost

0.00

0.00

0.00

0.00

0.00

Failures within warranty

0

NPV of profit from customer

$175.00

Simulation Results:

Failures within warranty simulation results:

NPV of profit from customer simulation results:

Step 2: Week 5 Reflection

This week I learned what a simulation model is and how a distribution model is used in running simulations. I learned that a distribution can be continuous (meaning all continuous values in a distribution range) or discrete (meaning a discrete set of values in a distribution range). I learned how to use the RISK tools in excel to run a simulation which I captured the output above. I learned about the flaw of averages and how it impacts simulations. I also learned how the input variables distribution varies allow for multiple simulation runs or scenarios.

This week’s assignments took me about 8-10 hours.

Output for NPV profit for Customer

NPV of profit from customer / 1

Cell

Model!B23

Minimum

($402.35)

Maximum

$175.00

Mean

$139.49

Mode

$175.00

Median

$175.00

Std Dev

$90.04

Skewness

-2.6712

Kurtosis

10.3668

Values

1000

Errors

0

Filtered

0

Left X

($33)

Left P

5.00%

Right X

$175

Right P

95.00%

Dif. X

$207.92

Dif. P

90.00%

1%

($224.94)

5%

($32.92)

10%

($28.27)

15%

($25.48)

20%

$175.00

25%

$175.00

30%

$175.00

35%

$175.00

40%

$175.00

45%

$175.00

50%

$175.00

55%

$175.00

60%

$175.00

65%

$175.00

70%

$175.00

75%

$175.00

80%

$175.00

85%

$175.00

90%

$175.00

95%

$175.00

99%

$175.00