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ResolutionPro is a derivative pricing library which supports the valuation, risk management and hedge accounting of derivatives & other financial instruments.

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Licenses for ResolutionPro are competitively priced and require no recurring licensing costs. 

Black Scholes Calculator

ResolutionPro comes with a Black Scholes Calculator. Calculate prices, delta, gamma, theta, vega. Perform scenaior analysis based on price and volatility changes.


black scholes option modelblack scholes option calculator

 

 

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Black Scholes Model

The Black Scholes option pricing model is defined as follows:

Equation Template

 

OV = option value.

S = spot price of the underlying asset.

= exercise price (strike).

= risk-free interest rate, expressed with continuous compounding.

vol = volatility of the relative price change of the underlying asset.

= time to maturity measured in years (actual/365 basis).

N(.) = cumulative normal distribution of (.).

iPC = 1 for call / -1 for put.

Black Scholes Greeks

The Greek formulas for the Black Scholes option pricing model are as follows:

Equation Template

S = spot price of the underlying asset.

= exercise price (strike).

= risk-free interest rate, expressed with continuous compounding.

vol = volatility of the relative price change of the underlying asset.

= time to maturity measured in years (actual/365 basis).

N(.) = cumulative normal distribution of (.).

iPC = 1 for call / -1 for put.