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WSU Lexicon: Derivatives
The notional amount is the reference quantity of the underlying specified in a derivative contract, used to scale the contract's payments. It determines how large each cash flow is without itself being an amount invested, and in most contracts it is never exchanged.
Also called notional principal, particularly in swap contracts.
The entry
A derivative's payoff is always a rate, price change, or spread applied to a quantity. The notional supplies that quantity. In a plain vanilla interest rate swap, each settlement equals the notional multiplied by the difference between the fixed rate and the observed reference rate, multiplied by the day count fraction for the period. Double the notional and every cash flow doubles, while the rates, the pricing, and the value per unit of notional stay unchanged.
This linearity is why practitioners quote swap and forward terms per unit of notional and treat size as a separate decision. A dealer prices a five-year swap at a single fixed rate and then writes it on 10 million or 500 million of notional; the fair fixed rate is identical. The same separation appears in forward rate agreements, where the interest differential is applied to a notional that is never lent, and in equity swaps, where an index return is applied to a notional that is never bought.
The entry
For exchange-traded futures, notional is not chosen freely: it is set by the contract specification. An equity index future has a multiplier, so its notional equals the multiplier times the current index level; a Treasury or commodity future has a fixed face or physical quantity, such as a bond face value or a stated number of barrels or bushels. Position size is then adjusted only by trading more contracts.
In over-the-counter markets the notional is negotiated. Interest rate and equity swaps specify a notional that stays on paper; amortising swaps let it decline on a schedule to match a shrinking loan. Currency swaps are the exception where principals genuinely change hands, because the two legs are denominated in different currencies. Credit default swaps use notional to define the protection bought, and options use it implicitly through contract size, for example the number of shares each listed equity option controls.
The entry
Three different figures describe the same position. Notional measures the scale of the underlying being referenced. Market value measures what the contract is worth today, which is zero for a newly struck forward or swap and changes as rates and prices move. Credit exposure measures what a counterparty would lose on default, which depends on the current market value plus potential future movement, and is reduced further by netting agreements and collateral.
Because notional can be enormous relative to any of these, aggregate notional statistics overstate systemic exposure and are best read as an activity measure. The economically meaningful comparison for a candidate is notional against the capital committed: a futures position requires only initial margin, so a small cash outlay controls a large notional. That ratio is the leverage embedded in the derivative, and it explains why gains and losses per dollar of margin can be extreme even though notional itself is never at risk.
The entry
Expect to compute settlement amounts from a stated notional. Given a swap notional, a fixed rate, a reference rate fixing, and a period convention, calculate the net payment and identify which counterparty pays. Given an FRA notional and rate, compute the settlement and remember that it is discounted back to the start of the loan period. Given an equity swap notional and an index return, produce the return leg cash flow.
The second common task is sizing. To hedge or convert an exposure with futures, divide the notional of the exposure to be adjusted by the notional of one futures contract, then apply the relevant beta or duration ratio, and round to whole contracts. Finally, be ready to reason qualitatively: to explain why notional appears in no valuation formula as an amount invested, and why comparing notional to portfolio value reveals leverage rather than loss potential.
Common trap
Notional only scales the payoff calculation. Economic exposure is captured by the contract's mark-to-market value plus the sensitivity of that value to the underlying, which is typically a tiny fraction of notional.
In practice
The Bank for International Settlements reports notional amounts outstanding for OTC derivatives in the hundreds of trillions of dollars, while gross market values are smaller by roughly an order of magnitude: evidence that notional is a scaling figure, not capital at risk.
Candidates ask
See also
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