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A binary call option is, at long expirations, similar to a tight call spread using two vanilla options. One can model the value of a binary cash-or-nothing option, C , at strike K , as an infinitesimally tight spread, where C v {\displaystyle C_{v}} is a vanilla European call: [ 1 ] [ 2 ]
The intrinsic value is the difference between the underlying spot price and the strike price, to the extent that this is in favor of the option holder. For a call option, the option is in-the-money if the underlying spot price is higher than the strike price; then the intrinsic value is the underlying price minus the strike price.
A binary call option is, at long expirations, similar to a tight call spread using two vanilla options. One can model the value of a binary cash-or-nothing option, C , at strike K , as an infinitesimally tight spread, where C v {\displaystyle C_{v}} is a vanilla European call: [ 35 ] [ 36 ]
The intrinsic value (or "monetary value") of an option is its value assuming it were exercised immediately. Thus if the current price of the underlying security (or commodity etc.) is above the agreed price, a call has positive intrinsic value (and is called "in the money"), while a put has zero intrinsic value (and is "out of the money").
In finance, the binomial options pricing model (BOPM) provides a generalizable numerical method for the valuation of options.Essentially, the model uses a "discrete-time" (lattice based) model of the varying price over time of the underlying financial instrument, addressing cases where the closed-form Black–Scholes formula is wanting.
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The price of the call contract must act as a proxy response for the valuation of: the expected intrinsic value of the option, defined as the expected value of the difference between the strike price and the market value, i.e., max[S−X, 0]. [3] the risk premium to compensate for the unpredictability of the value
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