n five years, Kent Duncan will retire. He is exploring thepossibility of opening a...

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Accounting

n five years, Kent Duncan will retire. He is exploring thepossibility of opening a self-service car wash. The car wash couldbe managed in the free time he has available from his regularoccupation, and it could be closed easily when he retires. Aftercareful study, Mr. Duncan determined the following:

  1. A building in which a car wash could be installed is availableunder 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% ofits original cost.

  3. An investment of an additional $7,000 would be required to coverworking capital needs for cleaning supplies, change funds, and soforth. After five years, this working capital would be released forinvestment elsewhere.

  4. Both a wash and a vacuum service would be offered. Each customerwould pay $1.23 for a wash and $.62 for access to a vacuumcleaner.

  5. The only variable costs associated with the operation would be7.5 cents per wash for water and 10 cents per use of the vacuum forelectricity.

  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 thecustomers using the wash would also use the vacuum.

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

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

Answer & Explanation Solved by verified expert
4.1 Ratings (830 Votes)

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.


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In: Accountingn five years, Kent Duncan will retire. He is exploring thepossibility of opening a self-service...n five years, Kent Duncan will retire. He is exploring thepossibility of opening a self-service car wash. The car wash couldbe managed in the free time he has available from his regularoccupation, and it could be closed easily when he retires. Aftercareful study, Mr. Duncan determined the following:A building in which a car wash could be installed is availableunder a five-year lease at a cost of $5,000 per month.Purchase and installation costs of equipment would total$320,000. In five years the equipment could be sold for about 7% ofits original cost.An investment of an additional $7,000 would be required to coverworking capital needs for cleaning supplies, change funds, and soforth. After five years, this working capital would be released forinvestment elsewhere.Both a wash and a vacuum service would be offered. Each customerwould pay $1.23 for a wash and $.62 for access to a vacuumcleaner.The only variable costs associated with the operation would be7.5 cents per wash for water and 10 cents per use of the vacuum forelectricity.In addition to rent, monthly costs of operation would be:cleaning, $4,800; insurance, $75; and maintenance, $1,925.Gross receipts from the wash would be about $3,690 per week.According to the experience of other car washes, 60% of thecustomers using the wash would also use the vacuum.Mr. Duncan will not open the car wash unless it provides atleast a 13% return.Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determinethe appropriate discount factor(s) using tables.

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