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The Zero-Coupon Inflation Swap (ZCIS) is a standard derivative product which payoff depends on the
Inflation rate In economics, inflation is an increase in the general price level of goods and services in an economy. When the general price level rises, each unit of currency buys fewer goods and services; consequently, inflation corresponds to a reductio ...
realized over a given period of time. The
underlying asset In finance, a derivative is a contract that ''derives'' its value from the performance of an underlying entity. This underlying entity can be an asset, Index fund, index, or interest rate, and is often simply called the "underlying". Derivative ...
is a single
Consumer price index A consumer price index (CPI) is a price index, the price of a weighted average market basket of consumer goods and services purchased by households. Changes in measured CPI track changes in prices over time. Overview A CPI is a statistica ...
(CPI). It is called ''Zero-Coupon'' because there is only one cash flow at the maturity of the swap, without any intermediate coupon. It is called ''
Swap Swap or SWAP may refer to: Finance * Swap (finance), a derivative in which two parties agree to exchange one stream of cash flows against another * Barter Science and technology * Swap (computer programming), exchanging two variables in t ...
'' because at
maturity date Maturity or immaturity may refer to: * Adulthood or age of majority * Maturity model ** Capability Maturity Model, in software engineering, a model representing the degree of formality and optimization of processes in an organization * Development ...
, one counterparty pays a fixed amount to the other in exchange for a floating amount (in this case linked to inflation). The final cash flow will therefore consist of the difference between the fixed amount and the value of the floating amount at expiry of the swap.


Detailed Flows

* At time T_M = M years ** Party B pays Party A the fixed amount N 1 + K)^M - 1/math> ** Party A pays Party B the floating amount N\Bigg frac - 1\Bigg/math> where: * K is the contract fixed rate * N the contract nominal value * M the number of years * T_0 is the start date * T_M is the maturity date (end of the swap) * \mathcal(T_0) is the inflation consumer price index at start date (time T_0) * \mathcal(T_M) is the inflation consumer price index at maturity date (time T_M)


See also

*
Year-on-Year Inflation-Indexed Swap The Year-on-Year Inflation-Indexed Swap (YYIIS) is a standard derivative product over Inflation rate. The underlying In finance, a derivative is a contract that ''derives'' its value from the performance of an underlying entity. This underly ...
(
YYIIS The Year-on-Year Inflation-Indexed Swap (YYIIS) is a standard derivative product over Inflation rate. The underlying is a single Consumer price index (CPI). It is called ''Swap'' because each year there is a swap of a fixed amount against a floa ...
) {{Derivatives market Inflation Derivatives (finance) Swaps (finance)