You founded your own firm three years ago. You initially contributed $200,000 of your own money and in return you received 2 million shares of stock. Since then, you have sold an additional 1 million shares of stock to angel investors. You are now considering raising capital from a venture capital firm. This venture capital firm would invest $5 million and would receive 4 million newly issued shares in return. After the venture capitalist's investment, the post-money valuation of your shares is closest to

$5 million

Explanation:

Calculation for the post-money valuation of your shares

First step is to calculate the total shares outstanding after the venture capitalist's investment:

Total shares = 2 million shares + 1 million shares + 4 million shares

Total shares = 7 million shares

Second step is to calculate the Amount paid by venture capitalist

Using this formula

Amount paid by venture capitalist = Total value / Number of shares purchased

Let plug in the formula

Amount paid by venture capitalist = $5 million / 4 million shares

Amount paid by venture capitalist = $1.25 per share

Last step is to calculate the post-money valuation

Using this formula

Post-money valuation = Amount paid by venture capitalist * Shares subscribed

Let plug in the formula

Post-money valuation = $1.25 * 4 million shares

Post-money valuation = $5 million

Therefore After the venture capitalist's investment, the post-money valuation of your shares is closest to$5 million

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