Black-Scholes Greeks/Vol Calc at Google Play market analyse

App power index: 100 (based on ranks around App Stores today)

Price: 0 free
Current version: 1.4, last update: 6 years ago
First release : 17 Aug 2023
App size: 2 Mb
4.2 ( 7152 ratings )
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Estimation application downloads and cost

> 2.2k
Monthly downloads
~ $ 900
Estimation App Cost

The application uses the Black-Scholes formula to give a theoretical estimate of the price of European-style options. It also calculates the Greeks which measure the sensitivity of the value of a derivative or a portfolio to changes in parameter value(s) while holding the other parameters fixed. The Greeks for Black-Scholes are obtained by differentiation of the Black-Scholes formula.
The app of Version 1.1 add a functionality to calculate the implied volatility with the bisection method. The bisection method is applicable when we wish to solve the equation f(v)=BlackScholes(S, X, T, r, d, v)-OptionPrice for the real variable v, where f is a continuous function defined on an interval [a, b] and f(a) and f(b) have opposite signs.
At each step the method divides the interval in two by computing the midpoint c = (a+b) / 2 of the interval and the value of the function f(c) at that point. Unless c is itself a root (which is very unlikely, but possible) there are now two possibilities: either f(a) and f(c) have opposite signs and bracket a root, or f(c) and f(b) have opposite signs and bracket a root. The method selects the subinterval that is a bracket as a new interval to be used in the next step. In this way the interval that contains a zero of f is reduced in width by 50% at each step. The process is continued until the interval is sufficiently small.
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