Notation

$LaTex: C$ - value of an American call option to buy one unit of the asset
$LaTex: c$ - value of a European call option to buy one unit of the asset; also denoted $LaTex: V$
$LaTex: F$ - forward/futures price of the asset
$LaTex: F_0$ - forward/futures price of the asset today
$LaTex: K$ - strike price of the option
$LaTex: P$ - value of an American put option to buy one unit of the asset
$LaTex: p$ - value of a European put option to buy one unit of the asset
$LaTex: q$ - dividend yield (equity options); foreign risk-free rate (FX options)
$LaTex: r$ - risk-free rate, continuously compounded, for an investment maturing at time $LaTex: T$ (equity options); domestic risk-free rate (FX options)
$LaTex: S$ - spot price of the asset
$LaTex: S_0$ - spot price of the asset today
$LaTex: t$ - current time
$LaTex: T, t^*$ - expiry time (expiration time, maturity time)
$LaTex: V$ - value of a European call option to buy one unit of the asset; also denoted $LaTex: c$
$LaTex: \mu$ - expected return on the asset per year
$LaTex: \sigma$ - volatility of the spot price of the asset per year
$LaTex: \Phi$ - standard normal CDF
$LaTex: \phi$ - standard normal PDF
$LaTex: \tau$ - tenor of the option (time to expiry, time to maturity)