Question

In: Finance

The pavement in a new parking lot is expected to require no maintenance for the first...

The pavement in a new parking lot is expected to require no maintenance for the first two years of its life. At EOY3, the first resurfacing will have to be made costing $50,000. Every two years thereafter, the lot will need resurfacing. However, the cost for each resurfacing is expected to increase by 3% from the time before. The useful life of the parking lot is 26 years and no maintenance occurs in year 26.

a. What is the present worth of the resurfacing costs given a nominal discount rate of 5%.

b. Assume the parking lot costs $8,500,000 to construct. If the parking lot is expected to serve on average 400 vehicles per work day and the daily fee must cover both the amortized cost of the construction and the resurfacing costs, what should the daily per vehicle charge be? Assume that parking fees are charged only on week days (or 260 days per year).

Solutions

Expert Solution

Part a

Present worth of resurfacing costs at discount rate of 5 % is computed below :-

Year Maintenance Cost PVF @ 5% Present Value
a b c d = b*c
1 $0.00 0.952 $0.000
2 $0.00 0.907 $0.000
3 $50,000.00 0.864 $43,191.880
4 $0.00 0.823 $0.000
5 $51,500.00 0.784 $40,351.598
6 $0.00 0.746 $0.000
7 $53,045.00 0.711 $37,698.091
8 $0.00 0.677 $0.000
9 $54,636.35 0.645 $35,219.078
10 $0.00 0.614 $0.000
11 $56,275.44 0.585 $32,903.085
12 $0.00 0.557 $0.000
13 $57,963.70 0.530 $30,739.390
14 $0.00 0.505 $0.000
15 $59,702.61 0.481 $28,717.979
16 $0.00 0.458 $0.000
17 $61,493.69 0.436 $26,829.495
18 $0.00 0.416 $0.000
19 $63,338.50 0.396 $25,065.197
20 $0.00 0.377 $0.000
21 $65,238.66 0.359 $23,416.919
22 $0.00 0.342 $0.000
23 $67,195.82 0.326 $21,877.031
24 $0.00 0.310 $0.000
25 $69,211.69 0.295 $20,438.405
26 $0.00 0.281 $0.000
Present Value of Maintenace/resurfacing cost $366,448.145

Therefore, Present worth of resurfacing costs at discount rate of 5 % is $ 366,448.145

Part b: Determination of Daily per Vehicle charge

Total cost of Parking Lot (for 26 years) = Construction cost + Resurfacing cost

= $ 8,500,000 + $ 366,448.145 = $ 8,866,448.145

Total vehicle-days in 26 years = 400 vehicles per day * 260 days per year * 26 years

= 2,704,000 vehicle days

Daily price to be charged per vehicle = Total cost of Parking Lot / Total vehicle days

   = $ 8,866,448.145 / 2,704,000 vehicle days

Daily price to be charged per vehicle = $ 3.279 (approx)


Related Solutions

66.     Shawnee Hospital installs a new parking lot. The paving cost $30,000 and the lights to...
66.     Shawnee Hospital installs a new parking lot. The paving cost $30,000 and the lights to illuminate the new parking area cost $15,000. Which of the following statements is true with respect to these additions? a.   $30,000 should be debited to the Land account. b.   $15,000 should be debited to Land Improvements. c.   $45,000 should be debited to the Land account. d.   $45,000 should be debited to Land Improvements.       88.     A company purchased factory equipment on April 1, 2008...
When parking a car in a downtown parking lot, drivers pay according to the number of...
When parking a car in a downtown parking lot, drivers pay according to the number of hours or fraction thereof. The probability distribution of the number of hours cars are parked has been estimated as follows: X 1 2 3 4 5 6 7 8 P(X) 0.224 0.142 0.106 0.08 0.057 0.039 0.033 0.319 A. Mean = B. Standard Deviation = The cost of parking is 2.25 dollars per hour. Calculate the mean and standard deviation of the amount of...
Sharon parked her automobile in a parking lot owned by the Parking Corporation. At the request...
Sharon parked her automobile in a parking lot owned by the Parking Corporation. At the request of the parking lot attendant, she left her keys at the attendant's office and received a numbered ticket as her receipt for the payment of the parking fee. The ticket had the following words written on the back: “Rental of space only. Not responsible for loss or damage to car or contents however caused.” A 50 cm. Square sign on the side of the...
2. When parking a car in a downtown parking lot, drivers pay according to the number...
2. When parking a car in a downtown parking lot, drivers pay according to the number of hours or parts thereof. The probability distribution of the number of hours that cars are parked has been estimated as follows: X                  1        2        3        4        5        6        7        8 P(X)             .24     .18     .13     .10     .07     .04     .04     .20 a. Find the mean and standard deviation of the number of hours that cars are parked in the lot. b. If the cost of...
Pavement Design: New pavement design is to be constructed in 2026. The new average daily traffic...
Pavement Design: New pavement design is to be constructed in 2026. The new average daily traffic for commercial vehicles on the opening day will be 1700. Use: Growth rate = 6% Subgrade CBR = 3% Design life = 20 years
Last week, 108 cars received parking violations in the green parking lot. Of these, 27 had...
Last week, 108 cars received parking violations in the green parking lot. Of these, 27 had unpaid parking tickets from a previous violation. Assuming that last week was a random sample of all parking violators, find the width of the 90 percent confidence interval for the percentage (correct to four decimal places) of parking violators that have prior unpaid parking tickets.
Two alternatives are under consideration. The first alternative will cost $100,000, require $20,000 in maintenance and...
Two alternatives are under consideration. The first alternative will cost $100,000, require $20,000 in maintenance and operation costs each year, and a life cycle of 4 years. The second alternative will cost $300,000, require $5,000 in maintenance and operation costs each year and a life of 6 years. Neither option will have a salvage value. In order to compute the present worth or future worth, how many years of each alternative should I use to accurately compare the two alternatives.
The parking lot of a shopping center is square of sides a, delimited by sills of...
The parking lot of a shopping center is square of sides a, delimited by sills of height h, and the entrance to the parking lot is width c. During the last rain it was flooded, and the only escape route was entrance c. To avoid future flooding, it is necessary to determine the time t in which the water takes to evacuate from the enclosure. For the effect, a 1: 100 scale model is used and it is observed that...
To a parking lot of a commercial plaza on a weekend day, an average of 40...
To a parking lot of a commercial plaza on a weekend day, an average of 40 vehicles arrive per hour. a) What is the probability that the time between the arrival of cars that arrive one after the other (consecutive) is between 6 and 12 minutes? b) What is the probability that the time between the arrival of cars arriving one after the other (consecutive) is greater than the average by one standard deviation? c) What is the probability that...
The parking lot of a shopping center is square of sides a, delimited by sills of...
The parking lot of a shopping center is square of sides a, delimited by sills of height h, and the entrance to the parking lot is width c. During the last rain it was flooded, and the only escape route was entrance c. To avoid future flooding, it is necessary to determine the time t in which the water takes to evacuate from the enclosure. For the effect, a 1: 100 scale model is used and it is observed that...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT