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Black-Scholes Model

Calculate price and sensitivity for equity options, futures, and foreign currencies using option pricing model

The Black-Scholes model assumes the price of assets follows a geometric Brownian motion with constant drift and volatility. When applied to an equity option, the model incorporates the constant price variation of the underlying asset, the time value of money, the option's strike price, and the time to the option's expiry.

Functions

assetbyblsDetermine price of asset-or-nothing digital options using Black-Scholes model
assetsensbyblsDetermine price or sensitivities of asset-or-nothing digital options using Black-Scholes model
barrierbyblsPrice European barrier options using Black-Scholes option pricing model
barriersensbyblsCalculate price or sensitivities for European barrier options using Black-Scholes option pricing model
dblbarrierbyblsPrice European double barrier options using Black-Scholes option pricing model (Since R2019a)
dblbarriersensbyblsCalculate prices and sensitivities for European double barrier options using Black-Scholes option pricing model (Since R2019a)
touchbyblsPrice one-touch and no-touch binary options using Black-Scholes option pricing model (Since R2019b)
touchsensbyblsCalculate price or sensitivities for one-touch and no-touch binary options using Black-Scholes option pricing model (Since R2019b)
dbltouchbyblsPrice double one-touch and double no-touch binary options using Black-Scholes option pricing model (Since R2019b)
dbltouchsensbyblsCalculate prices and sensitivities for double one-touch and double no-touch binary options using Black-Scholes option pricing model (Since R2019b)
cashbyblsDetermine price of cash-or-nothing digital options using Black-Scholes model
cashsensbyblsDetermine price or sensitivities of cash-or-nothing digital options using Black-Scholes model
chooserbyblsPrice European simple chooser options using Black-Scholes model
gapbyblsDetermine price of gap digital options using Black-Scholes model
gapsensbyblsDetermine price or sensitivities of gap digital options using Black-Scholes model
impvbyblsDetermine implied volatility using Black-Scholes option pricing model
optstockbyblsPrice options using Black-Scholes option pricing model
optstocksensbyblsDetermine option prices or sensitivities using Black-Scholes option pricing model
supersharebyblsDetermine price of supershare digital options using Black-Scholes model
supersharesensbyblsDetermine price or sensitivities of supershare digital options using Black-Scholes model

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