Question

In five years, Kent Duncan will retire. He is exploring the possibility of opening a self-service car wash. The car wash could be managed in the free time he has available from his regular occupation, and it could be closed easily when he retires. After careful study, Mr. Duncan determined the following:

1. A building in which a car wash could be installed is available under a five-year lease at a cost of $4,900 per month.
2. Purchase and installation costs of equipment would total $300,000. In five years the equipment could be sold for about 10% of its original cost.
3. An investment of an additional $5,000 would be required to cover working capital needs for cleaning supplies, change funds, and so forth. After five years, this working capital would be released for investment elsewhere.
4. Both a wash and a vacuum service would be offered. Each customer would pay $1.17 for a wash and $.60 for access to a vacuum cleaner.
5. The only variable costs associated with the operation would be 7.5 cents per wash for water and 10 cents per use of the vacuum for electricity.
6. In addition to rent, monthly costs of operation would be: cleaning, $3,400; insurance, $55; and maintenance, $1,925.
7. Gross receipts from the wash would be about $3,276 per week. According to the experience of other car washes, 60% of the customers using the wash would also use the vacuum.

Mr. Duncan will not open the car wash unless it provides at least a 13% return.

Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using tables.

Required:

1. Assuming that the car wash will be open 52 weeks a year, compute the expected annual net cash receipts from its operation.

Auto wash cash receipts
Vacuum cash receipts
Total cash receipts
Less cash disbursements:
Water
Electricity
Rent
Cleaning
Insurance
Maintenance
Total cash disbursements
Annual net cash flow from operations

2-a. Determine the net present value using the net present value method of investment analysis.

2-b. Would you advise Mr. Duncan to open the car wash?

Answer 1

Answer:

1.)

Auto wash cash receipts		170,352
Vaccum cash receipts		52,416
Total cash receipts		222,768
less: Cash disbursement
Water	10,920
Electricity	8,736
Rent	58,800
Cleaning	40,800
Insurance	660
Maintainance	23,100
Total cash Disbursement		143,016
Annual net cash flow from operation		79,752

Working

Auto Wash Cash Receipts = 3276*52= $ 170352

Vaccum Cash Receipts = 3276/1.17* 60% * 0.60* 52 = $ 52416

Water = 3276/1.17 * 0.075 * 52 = $ 10920

Electricity = 3276/1.17 * 60% *0.10 * 52 = $ 8736

2-a)

	Now`	1	2	3	4	5
Purchase of Equipment	-300,000	0	0	0	0	0
Working Capital	-5,000	0	0	0	0	0
Annual Net Cash Inflow	0	79752	79752	79752	79752	79752
Working Capital Realised	0	0	0	0	0	5000
Salvage Value	0	0	0	0	0	30000
Total Cash Flow	-305,000	79752	79752	79752	79752	114752
Discount Factor	1	0.88496	0.78315	0.69305	0.61332	0.54276
Present Value	-305000	70577.33	62457.78	55272.12	48913.50	62282.80
Net Present Value	-5,496.47

2-b) Yes