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ipn [44]
3 years ago
6

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.)
Business
1 answer:
Drupady [299]3 years ago
3 0

Answer:

(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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It will take 8.04 years for the initial investment of $15000 to become $30,000

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The future value of $15,000 invested now earning a rate of return of 9% per year is $30,000, it the future equivalent of an amount invested now when the invested amount has earned interest over a specific period of time.

The below future value formula of single cash flow can be used to determine the number of years it takes for the initial investment to double.

FV=PV*(1+r)^N

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N=number of years it takes for the initial investment to double=unknown(assume it is X)

$30,000=$15000*(1+9%)^N

$30000/$15000=(1+9%)^N

2=1.09^N

take log  of both sides

ln(2)=N*ln(1.09)

N=ln(2)/ln(1.09)

N=8.04 years

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