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 $5,900 per month.

2. Purchase and installation costs of equipment would total $230,000. In five years the equipment could be sold for about 8% of its original cost.

3. An investment of an additional $4,000 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 $1.12 for a wash and $.65 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, $4,500; insurance, $75; and maintenance, $1,935.

7. Gross receipts from the wash would be about $3,248 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 11% 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.

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

Solution 1:

Computation of expected annual cash receipt from operation
Particulars		Amount
Autowash cash receipt ($3248*52)		$1,68,896
Vacuum cash receipt ($3248/1.12*0.65*60%*52)		$58,812
Total cash receipt		$2,27,708
Less: Cash disbursements:
Water ($3248 / 1.12 * 0.075*52)	$11,310
Electricity ($3248/1.12*60%*0.10*52)	$9,048
Rent	$70,800
Cleaning	$54,000
Insurance	$900
Maintenance	$23,220
Total cash disbursements		$1,69,278
Annual net cash flow from operations		$58,430

Solution 2a:

Computation of NPV
Particulars	Period	Amount	PV Factor	Present Value
Cash outflows:
Cost of equipment	0	$2,30,000	1	$2,30,000
Working capital	0	$4,000	1	$4,000
Present value of cash outflows (A)				$2,34,000
Cash Inflows:
Annual cash inflows	1-5	$58,430	3.696	$2,15,957
Salvage value	5	$18,400	0.593	$10,911
Release of working capital	5	$4,000	0.593	$2,372
Present value of cash inflow (B)				$2,29,240
NPV (B-A)				-$4,760

Solution 2b:

No, Mr. Duncan should not open car wash.