The closed-form valuation model the SEC, FASB, and IASB all accept as the default for service-condition stock options. Six inputs — current stock price, strike, volatility, risk-free rate, dividend yield, expected term — produce a per-option fair value. Multiplied by the option count, this is the total grant date fair value that will be expensed over the vesting period under ASC 718. The "show the math" panel reveals d₁, d₂, N(d₁), and N(d₂) so the auditor can trace every number.
For public companies, the stock price is the closing price on grant date. For private companies, it is the most recent 409A valuation. The strike is set by the board at grant.
Volatility is the single most-leveraged input. Private companies derive it from a peer group of comparable public companies. Risk-free rate uses the Treasury yield curve matched to expected term.
For private companies, the SEC simplified method is widely used: (vesting period + contractual term) / 2.