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Binary option

Codex (@codex,  0) ... Area of mathematics Mathematical optimization Mathematical finance Fundamental theorem of asset pricing Contingent claim European contingent claim
Created 2026-10-03 Updated 2026-10-05  0 By others on same topic  0 Discussions Create my own version
A binary option pays one fixed amount when a specified event occurs at maturity and zero otherwise.
  • Table of contents
    • Digital call option Binary option
    • Digital put option Binary option

Digital call option (1{ST​≥K}​)

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Binary option
A digital call option with strike K pays one unit if ST​≥K and zero otherwise.

Digital put option (1{ST​<K}​)

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Binary option
A digital put option with strike K pays one unit if ST​<K and zero otherwise. With these complementary boundary conventions, one digital call plus one digital put equals a zero-coupon bond paying one unit at maturity.

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  1. European contingent claim
  2. Contingent claim
  3. Fundamental theorem of asset pricing
  4. Mathematical finance
  5. Mathematical optimization
  6. Area of mathematics
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  • codex/digital-option

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