Derivatives

Cross-Currency Swap Basis Explained The cross-currency swap basis measures the deviation from covered interest parity between currencies. Persistent negative basis signals strong dollar funding demand.

Cross-Gamma The second-order price sensitivity of a portfolio to simultaneous moves in two different underlying assets.

Cross-Hedging with Futures Cross-hedging uses futures on a correlated but different asset to hedge exposures when no direct futures contract exists.

Crush Spread Futures A spread trade between soybean futures and soybean meal and oil futures that hedges or speculates on a processor's margins from crushing beans into products.

Currency Futures Standardized contracts for exchanging one currency for another at a future date—used by companies managing foreign exchange exposure, traders speculating on rates, and funds hedging international portfolios.

DDelta The second partial derivative of option value with respect to changes in volatility; measures sensitivity to volatility changes after accounting for vega.

Debit Call Spread vs Naked Call: Risk and Reward Comparison Understand the risk and reward tradeoff between a call spread and naked call—limited upside vs unlimited loss potential, with capital implications.

Debit Spread An options strategy where you pay net premium upfront, with defined maximum profit and defined maximum loss.

Debit Spread vs Credit Spread: Breakeven and Risk Compared Compare debit spreads and credit spreads: how breakeven, max profit, and margin requirements differ for bullish and bearish positions.

Debit Spread vs Credit Spread: Which to Use When to use debit spreads vs credit spreads based on implied volatility, directional conviction, and risk-reward trade-offs.

Deep In-the-Money Option Options far inside intrinsic value, with high delta and strong leverage characteristics, used for directional bets and protective strategies.

Deep Out-of-the-Money Option Cheap, high-leverage options with low probability of profit but extreme payoffs if the underlying move is large enough; lottery-ticket structures in derivatives trading.

Deferred Payment Option An option where the buyer delays payment of the premium until the contract's expiration date, rather than paying upfront.

Delivery Mechanisms How futures and forward contracts handle the actual transfer of the underlying asset at expiration—cash settlement, physical delivery, or hybrid approaches.

Delivery Notice The formal notification a short futures holder submits to the exchange to initiate physical delivery of the underlying commodity.

Delta Delta measures how much an option's price moves for each one-dollar move in the underlying asset, ranging from 0 to 1 for calls and -1 to 0 for puts.

Delta Hedging The practice of continuously rebalancing an offsetting position to neutralize directional risk in an option.

Delta Hedging Frequency: Costs vs Accuracy Tradeoff Delta hedging frequency determines how often you rebalance a delta-neutral book to lock in gamma profit. Learn the tradeoff between transaction costs and hedging accuracy.

Delta vs Probability of Expiring In the Money Delta vs probability of expiring ITM: why traders use delta as a proxy for ITM odds, where the link holds, and where volatility, skew, and moneyness break it.

Delta-Neutral Portfolio Construction How to build a delta-neutral options portfolio by combining positions so net directional exposure is zero and why traders rebalance.

Derivative Contract The foundational legal and structural anatomy of any derivative instrument—the binding agreement whose value depends on an underlying asset or benchmark.

Derivatives for Hedging vs Speculation Hedging uses derivatives to offset an existing risk exposure, while speculation uses them to take on new directional risk, with different motives, mechanics, and outcomes.

Derivatives Hedging The use of derivatives to offset or reduce risk in an underlying asset or liability.

Derivatives Market Regulation The post-2008 regulatory framework that mandates clearing, reporting, and margin for derivatives, enforced through Dodd-Frank, EMIR, and Basel III.

Diagonal Spread An option strategy using calls or puts at different strikes and expirations, combining directional bias with time decay profits.

Diagonal Spread vs Calendar Spread How diagonal spreads and calendar spreads differ in strike prices, delta exposure, and directional bias—and when to use each strategy.

Differential Swap A swap in which the counterparties exchange floating-rate payments based on two different currency-area indices, but both legs settle in a single domestic currency.

Digital Option vs Vanilla Option Digital options offer binary all-or-nothing payoffs; vanilla options provide continuous payoff proportional to price movement. The difference reshapes leverage, pricing, and use cases.

Displaced Diffusion Model A simple shift of the lognormal Black model that accommodates negative interest rates without switching to a full normal model.

Dividend Adjustment (Options) Modifications made to option terms when the underlying stock pays a dividend, preserving the option holder's economic interest.

Dividend Adjustment in Options Pricing How dividends affect option values: discrete vs. continuous yields, cum-dividend vs. ex-dividend dates, and adjustments to Black-Scholes and binomial models.

Dividend Swap A derivative that exchanges fixed cash flows for the realised dividends paid by a stock or index over a contract term.

Dollar Delta Delta scaled by the spot price to express the option's directional exposure in notional dollars rather than as a rate of change per dollar of spot movement.

Dollar Gamma Gamma expressed in dollar terms, measuring the profit or loss from a one-percent move in the underlying's price.

Double Barrier Option An option with both an upper and lower barrier level, knocked out or activated if either barrier is breached.

Double Calendar Spread An options strategy that places calendar spreads at two different strike prices simultaneously to expand the range of profitable outcomes.

Double Diagonal Spread An option strategy selling short-term OTM calls and puts while buying further-dated OTM options to manage premium and directional risk.

Double No-Touch Option A range option that pays a fixed sum only when the underlying stays between two barrier levels throughout the option's entire life.

Dual Delta The derivative of option price with respect to the strike price, equal to the risk-neutral probability of exercise and a key measure of strike-space sensitivity.

Dual Gamma The second derivative of option price with respect to the strike price, measuring curvature and convexity in the strike dimension.

E-Mini Futures Electronically traded index futures contracts with reduced contract size, enabling both retail and institutional traders to access derivatives markets.

Early Assignment Risk in a Call Spread Early assignment risk in call spreads: when the short call gets exercised before expiration, especially around dividend dates, and how to manage the resulting gap.

Early Exercise The exercise of an option before its expiration date, allowed for American-style options but not for European-style ones.

Early Exercise of Options: When It Actually Makes Sense Early exercise of options rarely beats holding to expiration, except for in-the-money puts near expiration or calls before large dividends.

Early Exercise Premium for American Options Early exercise premium explains why American options cost more than European: the value of choosing when to exercise, quantified and when it matters.

Embedded Derivative A derivative feature built into a non-derivative host contract, requiring separate accounting and valuation.

Employee Stock Purchase Option A company-sponsored plan allowing employees to buy company shares at a discounted price, usually with a payroll deduction.

Epsilon An option Greek measuring the sensitivity of an option's value to changes in dividend yield of the underlying asset.

Equity Index Futures Fair Value and the Dividend Adjustment How dividend yields affect equity index futures fair value calculation and why futures trade at a discount near ex-dividend dates.

Equity Swap A swap where one party receives stock returns and the other pays them, allowing parties to gain equity exposure or finance purchases without owning stock.

Equity Swap vs Contract for Difference Equity swaps and CFDs both deliver synthetic price exposure—but differ sharply in structure, counterparty, regulation, and cost. Learn when each is used.

Eurodollar Futures vs Fed Funds Futures Compare Eurodollar and Fed Funds futures: reference rates, quotation methods, contract specifications, and how traders use each to hedge or speculate on short-term rates.

European Option A European option is a contract that can be exercised only on its expiration date, not before, making it simpler to price than American-style options.

European vs American Option Exercise: Key Differences European vs American option exercise: understand the right to exercise early, when it matters, and why American options command a premium.

Exchange Option An option that gives the holder the right to exchange one asset for another at a predetermined ratio or price.

Exchange-Traded vs. OTC Derivatives Comparison of centrally cleared listed contracts and bilateral over-the-counter deals, spanning standardisation, price discovery, and counterparty risk.

Exercise (Options) The act of invoking the right embedded in an option contract to buy (call) or sell (put) the underlying asset at the strike price.

Exotic Option Monte Carlo Simulation Numerical method for valuing path-dependent derivatives by sampling asset trajectories and averaging their payoffs, with variance reduction techniques.

Expiration Date The expiration date is the deadline by which an option must be exercised, after which it ceases to exist and becomes worthless if not in-the-money.

Expiration Dates How futures and forwards specify their maturity dates—contract calendars, notice periods, and the mechanics of what happens when a contract expires.