fquanty is a self-contained collection of basic stats and performance functions, which can be extremely useful for modelling.
Currently the library contains the following functions:
- Statistics
- variance
- standard deviation
- covariance
- correlation
- covariance matrix
- correlation matrix
- downside deviation
- Time Value of Money
- fv
- pv
- pmt
- fv of annuity
- pv of annuity
- pv of perpetuity
- Effective Annual Rates
- nper
- rate
- Performance.Returns
- simple/cc returns
- rolling returns
- annualization
- active return
- Value-at-Risk
- Performance.Portfolio
- variance
- standard deviation
- expected return
- excess returns
- global minimum variance portfolio
- beta
- sharpe ratio
- information ratio
- kelly ratio
- treynor ratio
- sortino ratio
- Value-at-Risk
- Performance.Bootstrapping
- randomize
- bootstrap
- bootstrapMean
- bootstrapStd
- boostrapVaR
- Data Providers
- fetch Yahoo quotes
- fetch Google quotes
- Gamma
- ln of the Gamma function
- incomplete Gamma function
- Uniform Distribution
- mean
- variance
- density
- distribution
- quantile
- generating random values
- Normal Distribution
- quantile
- Solver
- newton
- bisection
- brent
- Matrix Inv
- LU decomposition
- Inverse matrix
The notation for TVM functions is similar to Excel ones for convinience.
The library is inspired mostly by R’s financial packages, in particular Performance Analytics and quantmod.
Gamma-related functions are based on implementations here: [the incomplete gamma function](// http://people.sc.fsu.edu/~jburkardt/c_src/asa147/asa147.html) and logarithm of gamma function. Root-finding function is a combination of Newton method and Brent’s zero finder
Note, that this library doesn’t pretend to be the fastest or the most precise solution, as stated above it’s purpose is simple modelling and minimizing the dependencies (the only external reference is FSharp.PowerPack.dll)