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 $1,700 per month.

2. Purchase and installation costs of equipment would total $200,000. In five years the equipment could be sold for about 10% of its original cost.

3. An investment of an additional $2,000 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 $2.00 for a wash and $1.00 for access to a vacuum cleaner.

5. The only variable costs associated with the operation would be 20 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, $450; insurance, $75; and maintenance, $500.

7. Gross receipts from the wash would be about $1,350 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 10% return.

 

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

1.

Particulars		Amount
Autowash cash receipt ($1350*52)		$70,200
Vacuum cash receipt ($1350/2*1*60%*52)		$21,060
Total cash receipt		$91,260
Less: Cash disbursements:
Water ($1350 / 2 * 0.20*52)	$7,020
Electricity ($1350/2*60%*0.10*52)	$2,106
Rent	$20,400
Cleaning	$5,400
Insurance	$900
Maintenance	$6,000
Total cash disbursements		$41,826
Annual net cash flow from operations		$49,434

2a:

Computation of NPV
Particulars	Period	Amount	PV Factor	Present Value
Cash outflows:
Cost of equipment	0	$2,00,000	1	$2,00,000
Working capital	0	$2,000	1	$2,000
Present value of cash outflows (A)				$2,02,000
Cash Inflows:
Annual cash inflows	1-5	$49,434	3.791	$1,87,404
Salvage value	5	$20,000	0.621	$12,420
Release of working capital	5	$2,000	0.621	$1,242
Present value of cash inflow (B)				$2,01,066
NPV (B-A)				-$934

3.

No