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In the Black–Scholes model, the price of the option can be found by the formulas below. [27] In fact, the Black–Scholes formula for the price of a vanilla call option (or put option) can be interpreted by decomposing a call option into an asset-or-nothing call option minus a cash-or-nothing call option, and similarly for a put – the binary options are easier to analyze, and correspond to ...
A compound option is an option on another option, and as such presents the holder with two separate exercise dates and decisions. If the first exercise date arrives and the 'inner' option's market price is below the agreed strike the first option will be exercised (European style), giving the holder a further option at final maturity.
In finance, an option is a contract which conveys to its owner, the holder, the right, but not the obligation, to buy or sell a specific quantity of an underlying asset or instrument at a specified strike price on or before a specified date, depending on the style of the option.
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 ]
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.
Prior to 2010, [1] standard equity option naming convention in North America, as used by the Options Clearing Corporation, was as follows: For example, an Apple Inc AAPL.O call option that would have expired in December 2007 at a $122.50 strike price would be displayed as APVLZ in old convention (AAPL071222C00122500 in new convention).
An option is path-independent if its value depends only on the final price of the underlying instrument. Path-dependent options depend not only on the final price of the underlying instrument, but also on all the prices leading to the final price. An exotic option could have one or more of the following features: