You have purchased 1 million shares in a restaurant chain venture. At this zero-stage investment, your company’s assets are $110,000 plus the idea for your new product. Look back at your restaurant chain venture. Suppose that when you first approach your friendly VC, he decides that your shares are worth only $1.00 each.

a. How many shares will you need to sell to raise the additional $1,370,000?
b. What fraction of the firm will you own after the VC investment? (Round your answer to 1 decimal place.)

(a) 1,370,000 shares

(b) 42.19%

Explanation:

Given that,

Shares in a restaurant chain venture = 1,000,000 shares

Price of each share = $1.00

(a) To raise the additional $1,370,000:

Shares will you need to sell:

= Additional amount ÷ Price of each share

= $1,370,000 ÷ $1.00

= 1,370,000 shares

(b) No. of Shares After investment:

= Shares need to sell + Shares in a restaurant chain venture

= 1,370,000 + 1,000,000

= 2,370,000 shares

Therefore, the fraction of the firm will you own after the VC investment:

= (Shares in a restaurant chain venture ÷ No. of Shares After investment) × 100

= (1,000,000 ÷ 2,370,000) × 100

= 0.4219 × 100

= 42.19%

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