Down Transition Probability


DEFINITION of 'Down Transition Probability'

The probability that an asset's value will decline in one period's time within the context of an option pricing model. The option pricing models using a down transition probability are both the binomial and trinomial option pricing models.

BREAKING DOWN 'Down Transition Probability'

In a binomial option pricing model, the probability that an option's underlying asset declines in value over a time step may be denoted by 1-Qu, where Qu represents the probability that the option's underlying asset will increase over the next time step in decimal form.

Under the trinomial model, the probability of a down transition is equal to the probability of an upward transition or an equal transition over the next time step not happening. If we denote Qu as the probability of the underlying asset increasing in value over the next time step, Qd as the probability the value of the underlying asset will decrease over the next time step, then the probability that the underlying asset's value stays the same is 1-Qu-Qd.

  1. Derivative

    A security with a price that is dependent upon or derived from ...
  2. Trinomial Option Pricing Model

    An option pricing model incorporating three possible values that ...
  3. Option

    A financial derivative that represents a contract sold by one ...
  4. Embedded Option

    A provision in a security that is an inseparable part of the ...
  5. Intrinsic Value

    Intrinsic value is the actual value of a company or an asset ...
  6. Binomial Option Pricing Model

    An options valuation method developed by Cox, et al, in 1979. ...
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