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Convertible debt is a debt hybrid product with an embedded option that allows the holder to convert the debt into equity in the future. The ratio is calculated by dividing the convertible security's par value by the conversion price of equity.
The formula for calculating price per share using the conversion cap is the same one used when calculating price per share for an equity financing using the pre-money valuation. The formula is Conversion Cap/Fully-Diluted Capitalization.
To calculate how much the Series-A VC has, you divide $2m/$10m (investment over the post-money), implying 20% ownership post financing. If you hadn't raised a convertible notes, then math is simple. The series-a price per share is $8m (the pre-money valuation) divided by 1m (founder shares).
In order to calculate the valuation cap adjusted price per share for convertible note holders, you would divide the valuation cap on the note by the pre-money valuation of the subsequent round and apply that to the Series A price per share.