A financier has a staff of three people whose job it is to examine possible business ventures for him. Periodically they present their findings concerning business opportunities. On a particular occasion, they presented the following investment opportunities:

Project A: This is a project for the use of commercial land the financier already owns. There are three mutually exclusive alternatives.

A1: Sell the land for $500,000.

A2: Lease the property for a car-washing business. An annual income, after all costs (property taxes, etc) of $98,700 would be received at the end of each year for 20 years. At the end of the 20 years, it is believed that the property could be sold for $750,000.

A3: Construct an office building on the land. The building will cost $4.5M to construct and will not produce any net income for the first 2 years. The probabilities of various levels of rental income, after all expenses, for the subsequent 18 year are as follows:

Annual Rental Income Probability

$1,000,000 0.1

1,100,000 0.3

1,200,000 0.4

1,900,000 0.2

The property (building and land) probably can be sold for $3M at the end of 20 years.

Project B: An insurance company is seeking to borrow money for 90 days at 13 3/4% per annum, compounded continuously.

Project C: A financier owns a manufacturing company. The firm desires additional working capital to allow it to increase its inventories of raw material and finished products. An investment of $2M will allow the company to obtain sales that in the past the company had to forgo. The additional capital will increase company profits by $500,000 a year. The financier can recover this additional investment by ordering the company to reduce its inventories and to return the $2M. For planning purposes, assume the additional investment will be returned at the end of 10 years.

Project D: The owners of Sunrise magazine are seeking a loan of $500,000 for 10 years at 16% interest rate.

Project E: The Galveston Bank has indicated a willingness to accept a deposit of any sum of money over $100,000, for any desired duration, at a14.06% interest rate, compounded monthly. It seems likely that this interest rate will be available from Galveston, or some other bank, for the next several years.

Project F: A car rental firm is seeking a loan of $2M to expand its fleet. The firm offers to repay the loan by paying $1M at the end of Year 1 and $1,604,800 at the end of Year 2.

If there is $4M available for investment now (or $4.5M if the Project A land is sold), which projects should be selected? What is the MARR in this situation?

If there is $9M available for investment now (or $9.5M if the Project A land is sold), which projects should be selected?