Simulate Stock Price Path - Fsharp-finance Typing CST Test
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Simulate Stock Price Path — Fsharp-finance Code
Simulate a simple geometric Brownian motion for stock price evolution.
open System
open MathNet.Numerics.Distributions
let simulateStockPath S0 mu sigma T steps =
let dt = T / float steps
let rnd = Normal(0.0,1.0)
let rec loop S n acc =
if n > steps then List.rev acc
else let Snext = S * exp((mu - 0.5 * sigma*sigma)*dt + sigma*sqrt(dt)*rnd.Sample())
loop Snext (n+1) (Snext::acc)
loop S0 1 [S0]
let path = simulateStockPath 100.0 0.05 0.2 1.0 10
printfn "%A" pathFsharp-finance Language Guide
F# is a functional-first programming language on the .NET platform, widely used in finance for quantitative modeling, risk analysis, and algorithmic trading due to its strong type system, immutability, and functional programming paradigms.
Primary Use Cases
- ▸Algorithmic trading and backtesting
- ▸Derivatives pricing and financial modeling
- ▸Portfolio optimization and risk analysis
- ▸Time series analysis for financial data
- ▸Integrating functional code with enterprise .NET systems
Notable Features
- ▸Functional-first language with strong type inference
- ▸Immutable data structures and pattern matching
- ▸Seamless .NET integration for libraries and tools
- ▸Supports async programming for real-time computations
- ▸Powerful data processing with F# Data, Deedle, and Math.NET
Origin & Creator
Developed by Microsoft Research in 2005, evolving from OCaml to provide functional-first programming on .NET for both academic and industry applications.
Industrial Note
Extensively used in investment banks, hedge funds, and fintech for quantitative analytics, derivatives pricing, portfolio optimization, and real-time risk management.