Black-Scholes Option Pricing - Fsharp-finance Typing CST Test
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Black-Scholes Option Pricing — Fsharp-finance Code
Calculate the price of a European call option using the Black-Scholes formula in F#.
open System
open MathNet.Numerics.Distributions
let blackScholesCall S K r sigma T =
let d1 = (log(S/K) + (r + 0.5 * sigma*sigma) * T) / (sigma * sqrt T)
let d2 = d1 - sigma * sqrt T
S * Normal.CDF(0.0,1.0,d1) - K * exp(-r*T) * Normal.CDF(0.0,1.0,d2)
let callPrice = blackScholesCall 100.0 100.0 0.05 0.2 1.0
printfn "Call Option Price: %f" callPriceFsharp-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.