ASC 718-10-55 · Option pricing

Black-Scholes fair value for employee stock options

The six assumptions you have to disclose, and the grant-date fair value they produce. Nothing to sign up for.

Assumptions Edit any value

The price of one share on the day the award was granted. Public companies usually use the closing price on the grant date; using the average of the high and low is also acceptable if you apply it consistently and say so. Private companies use the fair value from a recent 409A valuation, dated close enough to the grant to still be reasonable.
Fair value of underlying share
$
The price the holder pays to exercise, taken straight from the award agreement. Most option grants are struck at the money, so this equals the share price above. Granting below fair value creates 409A exposure for the employee and changes the accounting, so a discount is worth confirming rather than assuming.
Strike
$
How long the options are expected to stay outstanding, which is not the 10-year contractual term. If you have no exercise history, the simplified method under SAB 107 and SAB 110 takes the midpoint between the weighted-average vesting period and the contractual term: four-year annual vesting plus a 10-year term gives 6.25 years. It only applies to plain vanilla awards, and only until you have enough history of your own.
Not contractual term
yrs
The annualized standard deviation of your share price returns, measured over a period roughly matching the expected term. Pull daily or weekly closing prices, compute log returns, take the standard deviation, and annualize. If you went public recently and lack that much history, use a peer group with written selection criteria you would still apply the same way next quarter.
Annualized
%
The yield on a zero-coupon U.S. Treasury whose remaining term matches your expected term, as of the grant date. Treasury publishes constant maturity yields daily; for a 6.25-year term you interpolate between the 5-year and 7-year points. Use the grant date, not quarter end.
Term-matched Treasury
%
Annual dividends per share divided by the share price, expressed as a percentage. Enter zero if you pay no dividends and have no plan to start, which is the case for most companies granting options. Document that basis rather than leaving the zero unexplained.
Zero if none expected
%

Grant details

The number of shares the award covers. Fair value per option does not change with this figure, so total cost scales in a straight line: double the options and you double the expense.
Shares underlying the award
The requisite service period the employee must complete. This calculator spreads total cost evenly across it. If your awards vest in annual tranches and you use graded attribution instead, year one expense is materially higher than shown here.
Straight-line service period
yrs

Output Updates as you type

Grant-date fair value

Single-award illustration, Black-Scholes-Merton

Weighted-average fair value per option $0.0000
Total compensation cost
Options granted
Fair value per option
Total grant-date fair value
Straight-line expense attribution
YearExpenseCumulative
Show the calculation

C = S·e−qT·N(d₁) − K·e−rT·N(d₂)

d₁ = [ln(S/K) + (r − q + σ²/2)T] ÷ σ√T    d₂ = d₁ − σ√T

d₁
d₂
N(d₁)
N(d₂)
Discounted share price  S·e−qT
Discounted strike  K·e−rT

What this does not do. Straight-line attribution over a single service period, with no forfeiture estimate, no graded vesting, no performance conditions, and no modification accounting. Those change the number, sometimes materially.

The workbook version

Same math, in Excel, built for an actual grant register rather than one award:

  • Multiple tranches and grant dates on one schedule
  • Graded vesting alongside straight-line, so you can see the divergence
  • Forfeiture estimate with true-up at vest
  • Footnote rollforward tables that tie to the schedule

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