As a functional programming expert, demonstrate the application of advanced functional programming concepts by designing and implementing a comprehensive system for processing and analyzing streaming financial data. Your implementation should showcase advanced concepts including: 1) Higher-order functions and function composition for building reusable data pipelines; 2) Monads and monad transformers for managing side effects and combining effectful computations; 3) Algebraic data types and pattern matching for expressive domain modeling; 4) Type classes for ad-hoc polymorphism; 5) Lenses and optics for immutable data transformations; 6) Free monads for separating business logic from implementation; 7) Property-based testing for correctness verification; 8) Effects systems for tracking and managing side effects at type level; 9) Performance optimizations including fusion and stream processing; 10) Dependent typing techniques where applicable for enhanced safety. Provide code examples, type signatures, performance characteristics, and comparison with imperative approaches. Discuss the learning curve and practical considerations for adopting these techniques in a production environment.