Derivatives Valuation

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Derivatives Valuation | Options Types

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Vanilla Options

A vanilla option is a financial instrument that gives the holder the right, but not the obligation, to buy (call) or sell (put) an underlying asset at a predetermined price within a specific time period.

Call Options

  • Right to buy the underlying asset

  • Profit when price rises above strike

  • Limited downside risk

Put Options

  • Right to sell the underlying asset

  • Profit when price falls below strike

  • Protection against downside

European Barrier Options

Barrier options are exotic options that are activated or deactivated when the underlying asset reaches a specific price level (Barrier).

Knock-In Options

Option becomes active when barrier is hit:

  • Up-and-in: Barrier above initial price

  • Down-and-in: Barrier below initial price

Knock-Out Options

Option becomes worthless when barrier is hit:

  • Up-and-out: Barrier above initial price

  • Down-and-out: Barrier below initial price

Key Characteristics

  • European exercise style (only at expiration)

  • Generally cheaper than vanilla options

Digital Options

A digital call option (also known as a binary call option) is an exotic option that pays a fixed amount if the underlying asset price is above the barrier price at expiration, and nothing if it's below.

A digital put option (also known as a binary put option) is an exotic option that pays a fixed amount if the underlying asset price is below the barrier price at expiration, and nothing if it's above.

Key Features

  • Fixed payoff amount

  • Binary outcome (all or nothing)

  • European exercise style