Question

n 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 $5,000 per month.

2. Purchase and installation costs of equipment would total $320,000. In five years the equipment could be sold for about 7% of its original cost.

3. An investment of an additional $7,000 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 $1.23 for a wash and $.62 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, $4,800; insurance, $75; and maintenance, $1,925.

7. Gross receipts from the wash would be about $3,690 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.

Answer 1

Solution:

Computation of expected annual cash receipt from operation
Particulars		Amount
Autowash cash receipt ($3690*52)		$1,91,880
Vacuum cash receipt ($3690/1.23*0.62*60%*52)		$58,032
Total cash receipt		$2,49,912
Less: Cash disbursements:
Water ($3690 / 1.23 * 0.075*52)	$11,700
Electricity ($3690/1.23*60%*0.10*52)	$9,360
Rent	$60,000
Cleaning	$57,600
Insurance	$900
Maintenance	$23,100
Total cash disbursements		$1,62,660
Annual net cash flow from operations		$87,252

Computation of NPV
Particulars	Period	Amount	PV Factor	Present Value
Cash outflows:
Cost of equipment	0	$3,20,000	1	$3,20,000
Working capital	0	$7,000	1	$7,000
Present value of cash outflows (A)				$3,27,000
Cash Inflows:
Annual cash inflows	1-5	$87,252	3.517	$3,06,865
Salvage value	5	$22,400	0.543	$12,163
Release of working capital	5	$7,000	0.543	$3,801
Present value of cash inflow (B)				$3,22,829
NPV (B-A)				-$4,171

Mr. Duncan should not open car wash.