Venture Capital Fund: price per share

A Venture Capital Fund

			shares
Founders			SF=2.5 (millions)
Venture capital (investors)			SV=?

A Venture Capital Fund

item			$ amount
Venture capital financing (INV)			9 (millions)
Post-money valuation (POST)			90 (millions)

The ownership proportion of the venture capital (VC) investor f_V
= INV/POST
= 9/90 = 10%

S_F/S_V=f_F/f_V=(1-f_V)/f_V
S_V = S_F * f_V/(1-f_V) = 2.5 * 0.10/(1-0.10)

The price per share for the venture capital investor is:
POST/(S_F+S_V) = 90/(2.5+2.5 * 0.10/(1-0.10)) = $32.4 per share