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enricoschumann
NMOF:Numerical Methods and Optimization in Finance
Functions, examples and data from the first and the second edition of "Numerical Methods and Optimization in Finance" by M. Gilli, D. Maringer and E. Schumann (2019, ISBN:978-0128150658). The package provides implementations of optimisation heuristics (Differential Evolution, Genetic Algorithms, Particle Swarm Optimisation, Simulated Annealing and Threshold Accepting), and other optimisation tools, such as grid search and greedy search. There are also functions for the valuation of financial instruments such as bonds and options, for portfolio selection and functions that help with stochastic simulations.
Maintained by Enrico Schumann. Last updated 6 days ago.
black-scholesdifferential-evolutiongenetic-algorithmgrid-searchheuristicsimplied-volatilitylocal-searchoptimizationparticle-swarm-optimizationsimulated-annealingthreshold-accepting
37 stars 9.27 score 101 scripts 3 dependents
ahudde
greeks:Sensitivities of Prices of Financial Options and Implied Volatilities
Methods to calculate sensitivities of financial option prices for European, geometric and arithmetic Asian, and American options, with various payoff functions in the Black Scholes model, and in more general jump diffusion models. A shiny app to interactively plot the results is included. Furthermore, methods to compute implied volatilities are provided for a wide range of option types and custom payoff functions. Classical formulas are implemented for European options in the Black Scholes Model, as is presented in Hull, J. C. (2017), Options, Futures, and Other Derivatives. In the case of Asian options, Malliavin Monte Carlo Greeks are implemented, see Hudde, A. & Rüschendorf, L. (2023). European and Asian Greeks for exponential Lévy processes. <doi:10.1007/s11009-023-10014-5>. For American options, the Binomial Tree Method is implemented, as is presented in Hull, J. C. (2017).
Maintained by Anselm Hudde. Last updated 20 days ago.
asian-optiongreeksimplied-volatilityoptioncpp
7 stars 5.75 score 6 scripts