Notation

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A word on notation. The symbols we prefer to use for various quantities and operations. These conventions should hold for most of this site, but not necessarily all of it.

  • C - value of an American call option to buy one unit of the asset
  • c - value of a European call option to buy one unit of the asset; also denoted V
  • F - forward/futures price of the asset
  • F0 - forward/futures price of the asset today
  • K - strike price of the option
  • P - value of an American put option to buy one unit of the asset
  • p - value of a European put option to buy one unit of the asset
  • q - dividend yield (equity options); foreign risk-free rate (FX options)
  • r - risk-free rate, continuously compounded, for an investment maturing at time T (equity options); domestic risk-free rate (FX options)
  • S - spot price of the asset
  • S0 - spot price of the asset today
  • t - current time
  • T,t *  - expiry time (expiration time, maturity time)
  • V - value of a European call option to buy one unit of the asset; also denoted c
  • μ - expected return on the asset per year
  • σ - volatility of the spot price of the asset per year
  • Φ - standard normal CDF
  • ϕ - standard normal PDF
  • τ - tenor of the option (time to expiry, time to maturity)
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