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What’s the estimated ipo price / share if you’re close? If not, look at comps in the space. Take the net, multiply by 7500 and then apply the right tax rate depending on when you exercise
It’s actually rather easy once you have the information using a Black-Scholes pricing model. If you’re missing a few items of information: 1) current stock price. You could get an idea of this by knowing how many shares are outstanding in your non public company divided into the $4B. 2) time to maturity. When do the options expire? 3) risk free rate—something like 1.83% last I checked, then 4) volatility. This last part is the hardest because you can’t know how often the trading is in a non public company. But you can estimate that with the call price you want to match. There are excel spreadsheets online to figure this out. But “garbage in, garbage out” is a truism here.
Did you ask HR?
You need a clear pic of the cap table. Ask what percent your shares represent fully diluted.
Not enough info…
Your strike price is only useful if you know or have an estimate of the share price today. Since you know an estimate for the company value, find out what the price per share is. Another option is to look back at your docs from when you got the shares to find what the value of the company was back then or what price the company is worth with a share price of $5.35.