Advance Fuel Corporation (AFC) was founded five years ago when Dr. Zachery Aplin left his faculty position at a prestigious university to pursue the development of a process t convert grain waste poducts into fuel. He used a largegovernment grant, personal funds, and loans from friends and relatives as seed money to finance the company, and he was the sole stockholder.

Dr. Aplin worked feverishly for three years with limited success. However, in the beginning of the fourth year of dedicated research, he and his two-member staff made a major break-through that led to the development of a process capable of efficiently converting grain waste producys into ethanol, a compound that is blended with gasoline to produce a better burning automobile fuel. Ethanol-gasoline blends have been around for som time, andthe U.S. currently produces over a billion gallons of ethanol a year. However, the ethanol is produced from feed corn, and it more expensive than the gasoline to which it is added. Only a federal subsidy makes ethanol-gasoline mixture economically feasible. Producing ethanol from grain waste products would lower its cost, hence dramaticaly increasing the market potential of the blended fuel.

AFC recently received a patent from the U.S. Patent Office for Dr. Aplin's unique ethanol production process. After considering licensing the process to major oil companies, Dr. Aplin decided that AFC would broaden its scope of operations to include the production and sale of ethanol. Realizing that both his personal financial resources and those of AFC has ben exhausted, Dr. Aplin discussed his need for venture capital with the firm's CPA and banker. Both professionals suggested that the first step in attaining outside capital is the development of a busines plan.

With some help from the firm's CPA and banker, Dr. Aplin andhis staff developed an impeccable business plan. Merely working on the plan was a beneficial process, because it forced the participants to think about issues that had not previously been considered. Dr. Aplin knew that AFC's production process held a cost advantage over the competition, but he was amazed to discover that AFC's production costs were only 70 percent of its closest competitior. On theother hand, the capital-intensive nature of AFC's production process was revealed by the business plan.

The cost of building one production facility was determind to be $10 million. Since the manufacturing strategy calls for building plants in five major cities in the U.S., and since $1 million in woking capital is needed to start up each plant, AFC's total capital requirement is $55 million. Because the nee for $55 million was a lot more than Dr. Aplin anticipated, he decided to hire venture capital consultant to help him identify and approach potential capital providers. The consultant described four main sources of start-up capital: venture capital funds, banks, individual, and public offerings.

table 1
current balance sheet and new capital requirement
current balance sheet		capital requirements for volume (in millions)
cash	1,000	purchase of equipment	10
patent	400,000	purchase of land	5
		construction	35
total assets	401,000	working capital	5
		total equipment	55
accounts payable	1,000
loans from friends and relatives	250,000
total liabilities	251,000
common stock	100
additional paid-in capital	149,900
total liabilities and equities	401,00

Table 2

Projected Cash Flow Statement (In Millions)

Table 2
	year 1	year 2	year 3	year 4	year 5
sales	20	53	102	117	129
cost of goods sold	10	26	51	59	65
gross margin	10	27	51	58	64
general/ administrative expenses	5	10	19	23	25
debt service requirements	5	5	5	5	10
pre tax earnings	0	12	27	30	29
taxes	0	5	12	13	14
net income	0	7	15	17	15
depreciation/amorization	2	6	6	6	6
terminal value					116
net cash flow	2	13	21	23	137

Notes:

(a) Depreciation/ amorization expenses is included in the cos of goods old, yet is a noncash charge. Thus, it must be added back to net income to obtain the net cash flow in each year.

(b) The terminal value is the present value, as of the end of Year 5, of the equity cash flows that are expected to occur after Year 5. This value was obtained by assuming 10 percent anual growth in equity cash flows after Year 5 and a cost of equity of 30 percent:

Terminal vlaue = $21 (1.10) / (0.03 - 0.10) = $116.

Assume you are a manager of a venture capital fund, and a bank is offering to loan $20 millions of the $55 million financing requirement. The aftr tax cash outflows to service the bnk debt are $5, $5, $5, $5, and $10 million in Years 1 through 5, respectively, You are considering providing an equity investment for the remain $35 million required by AFC

Question

Now assume that the estimated terminal value groth rate is 15 percent, and the bank is only willing to loan the fim $10 million. Under these conditions, What percentage of common stock would you require to invest $35 million?

Please show work