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.

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Popular Articles

Illustration for: Measuring and Reporting Value at Risk. Learn how to calculate, validate, and report Value at Risk (VaR) for derivatives...

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.

intermediate
Illustration for: Interest Rate and Treasury Futures Primer. Learn the fundamentals of interest rate and Treasury futures, including contract...

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...

intermediate
Illustration for: Compliance Testing for Position Limits. Learn about position limit compliance testing requirements, including CFTC and e...

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...

advanced
Illustration for: Cybersecurity Considerations for Derivatives Teams. Learn about cybersecurity requirements for derivatives trading operations, inclu...

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 ...

intermediate
Illustration for: Cross-Currency Swaps and Basis Risk. Learn how cross-currency swaps work, including principal exchanges, basis spread...

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...

advanced
Illustration for: Position Greeks vs. Individual Leg Greeks. Learn how to aggregate Greeks across multi-leg positions, understand net exposur...

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...

intermediate
Illustration for: Margin Efficiency vs. ETFs or Swaps. Compare the capital efficiency of futures versus ETFs and swaps, including margi...

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...

intermediate
Illustration for: No-Arbitrage Principles in Derivatives. Learn how replication and funding mechanics enforce no-arbitrage across futures,...

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.

advanced
Illustration for: Stress Testing and Scenario Analysis. Learn how to design and execute stress tests for derivatives portfolios, includi...

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.

advanced
Illustration for: Binomial Trees for Option Pricing. Learn how binomial trees price options through recombining nodes, backward induc...

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.

intermediate
Illustration for: Backtesting Pricing Models Against Market Data. Learn how to replay historical data to validate pricing model accuracy and hedgi...

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...

advanced
Illustration for: Understanding Moneyness and Delta Exposure. Learn how moneyness describes an option's relationship to the underlying price, ...

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 ...

intermediate