Kent Duncan is exploring the possibility of opening a self-service car wash and operating it for the next five years until he retires. He has gathered the following information:

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.

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.

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.

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.

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.

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 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 7B-1 and Exhibit 7B-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. What is the net present value of the investment in the car wash?

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

Present Value of $1;(1+r)n1 Present Value of an Annuity of $1 in Arrears; r1[1(1+r)n1]