Forward and Futures Pricing and Hedging › Forward and Futures Pricing and Hedging

Michael BrenndoerferNovember 14, 20252 min read
Quantitative FinanceAll chapters
Part 3 of 15Forwards, Futures, and Options
Chapter 15Forward and Futures Pricing and Hedging › Forward and Futures Pricing and Hedging
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Derivatives markets dwarf the underlying cash markets they reference. Forward and futures contracts represent the simplest and most fundamental derivative instruments, serving as the building blocks for understanding more complex structures like options and swaps. These contracts allow market participants to lock in future prices today, transferring price risk from those who wish to avoid it to those willing to bear it.

A forward contract is a private agreement between two parties to buy or sell an asset at a specified future date for a price agreed upon today. No money changes hands at contract initiation. The agreed price, called the forward price, is set such that the contract has zero initial value to both parties. At expiration, the buyer (long position) pays the forward price and receives the asset, while the seller (short position) delivers the asset and receives payment.

Futures contracts serve the same economic purpose but trade on organized exchanges with standardized terms. The exchange interposes itself between buyer and seller, eliminating counterparty credit risk through daily settlement of gains and losses. This daily marking-to-market is the key distinction from forwards and introduces subtle pricing differences we'll explore later.

Understanding how to price these contracts requires no sophisticated mathematics, only the principle that markets should not offer free money. If you can construct two portfolios that produce identical future cash flows, they must have the same price today. This no-arbitrage principle, combined with the cost-of-carry model, gives us precise formulas for forward prices.