Derivatives
Derivatives — options, futures, swaps — are contracts whose value is derived from an underlying asset. They can hedge risk, generate income, or express precise market views. These articles break down how each instrument works, how they're priced, and how to use them responsibly without getting burned by leverage you didn't understand.
Popular Articles

Measuring and Reporting Value at Risk
VaR is a quantile loss estimate, not a promise and not a worst-case number. Here is how to calculate it, backtest it, and report it without misleading anyone.

Interest Rate and Treasury Futures Primer
Treasury futures are the most actively traded derivatives contracts in the world—14.2 million interest rate futures contracts per day across CME products in 2025, up 4% from the prior year's record...

Compliance Testing for Position Limits
Position limit violations are accelerating as an enforcement priority—and the penalties are no longer symbolic. In FY 2024, the CFTC issued 3 position-limit-specific orders in a single quarter, tot...

Cybersecurity Considerations for Derivatives Teams
On 31 January 2023, traders at 42 firms—ABN Amro, Intesa Sanpaolo, Macquarie among them—arrived at their desks to find that ransomware had bricked ION Cleared Derivatives' platform, forcing entire ...

Cross-Currency Swaps and Basis Risk
Every year, corporations and banks route more than $7 trillion in notional through cross-currency swaps, exchanging principal and interest in one currency for principal and interest in another. When these swaps work, they're invisible plumbing. When they break, the cost is immediate and brutal: d...

Position Greeks vs. Individual Leg Greeks
An iron condor positioned ahead of the February 2018 VIX spike looked perfectly safe on a leg-by-leg review—delta flat, gamma manageable, theta pulling in +$50/day—so the trader left it unhedged ov...

Margin Efficiency vs. ETFs or Swaps
Futures require 3–7% margin to control full notional exposure. ETFs demand 50–100%. Swaps sit somewhere in between—but with higher operational overhead. The capital you don't tie up in margin is ca...

No-Arbitrage Principles in Derivatives
Learn how replication and funding mechanics enforce no-arbitrage across futures, options, and swaps, including tolerance bands and mispricing controls.

Stress Testing and Scenario Analysis
Learn how to design and execute stress tests for derivatives portfolios, including historical scenarios, hypothetical shocks, and reverse stress testing.

Binomial Trees for Option Pricing
Learn how binomial trees price options through recombining nodes, backward induction, and early exercise checks, with practical delta and gamma extraction.

Backtesting Pricing Models Against Market Data
Every pricing model is wrong. The question is whether yours is wrong in ways that cost you money. Backtesting—replaying historical market conditions through your model and measuring what it predicted versus what actually happened—is the only systematic way to answer that question. Yet most backte...

Understanding Moneyness and Delta Exposure
Most options traders can define "in-the-money" and "out-of-the-money" on a quiz. Fewer can tell you their net delta exposure in equivalent shares at any given moment—and that gap is where the real ...