IEEN 5329 Advanced Engineering Economy Analysis
Fall 2012
Name ________________________________ Score _____________________________
Please solve problems 1 to 4 using hand calculation. Show all your work on the paper. Solve the last problem using Excel and email your file to
[email protected].
1. The expansion of the Wideplace Mall is delayed over the issue of parking. There is not enough now to support the new facility and more must be added. Let's suppose that there are 3 options: buying more land, filling wetlands at the rear of the site, or building a multilevel garage on the present lot. Assume a forty-year planning horizon and an interest rate of 9% per year. Use present worth analysis and the data below to determine which option should be selected.
Purchase Land
Fill Wetlands
Garage
Initial Cost, $
$12,000,000
$19,000,000
$44,000,000
Annual Benefit,
$ per yea
0
0
4,000,000
(parking fees)
Annual Cost,
$ per yea
200,000
160,000
2,900,000
Solution:
Purchase Land
PW = -Initial cost + Annual benefit – Annual cost (PVIFA @ 9%, 40)
= -12,000,000 + 0 – 200,000 (10.7574)
= -14,151,472. 04
Fill Wetlands
PW = -Initial cost + Annual benefit – Annual cost (PVIFA @ 9%, 40)
= -19,000,000 + 0 – 160,000 (10.7574)
= -20,721,177.63
Garage
PW = -Initial cost + Annual benefit – Annual cost (PVIFA @ 9%, 40)
= -44,000,000 + 4,000,000 (10.7574) – 2,900,000 (10.7574)
= -55,833,096.21
Purchase land should be...