investment-education

Before Bitcoin, cryptographers spent over two decades attempting to create digital cash. This article covers DigiCash, Hashcash, b-money, Bit Gold, and why Bitcoin succeeded where predecessors failed.

Learn how smart contracts work, including the Ethereum Virtual Machine (EVM), gas mechanics, EIP-1559, DeFi protocols, NFTs, and Layer 2 rollups. A finance professional guide to programmable blockchain agreements.

Learn how Bitcoin achieves decentralized consensus through proof-of-work. Covers Byzantine Generals Problem, Nakamoto consensus, 51% attacks, confirmation depth, and difficulty adjustment.

Is Bitcoin anonymous? No – it is pseudonymous and often traceable. This guide covers how transactions are traced, mixing services, CoinJoin, zero-knowledge proofs, and privacy coins.

Learn how to value Bitcoin using token economics frameworks. Covers the token valuation equation, stock-to-flow model, NVT ratio, and their limitations for finance professionals.

Learn how the Heston stochastic volatility model treats variance as a random process, explains the volatility smile through correlation, and compares to GARCH and local volatility approaches.

Learn efficient volatility estimation using OHLC data with Parkinson, Garman-Klass, and Rogers-Satchell estimators. Includes formulas, real examples, and comparison guide.

Learn how finite difference methods solve the Black-Scholes PDE on a discrete grid. Covers explicit, implicit, and Crank-Nicolson schemes with stability conditions, boundary conditions, and practical examples.

The Kelly Criterion is a mathematical formula that determines the optimal fraction of capital to risk on each trade to maximize long-term portfolio growth.

The Merton model treats equity as a call option on firm assets, deriving default probability and credit spreads from option pricing theory. Learn how distance to default works and compare structural vs reduced-form credit models.