DEFINITION of 'Zero Coupon Inflation Swap'
A zero coupon inflation swap is an exchange of cash flows that allows investors to reduce or increase their exposure to the risk of a decline in the purchasing power of money. In a zero coupon inflation swap, which is a basic type of inflation derivative, an income stream that is tied to the rate of inflation is exchanged for an income stream with a fixed interest rate.
A zerocoupon inflation swap is also known as a breakeven inflation swap.
BREAKING DOWN 'Zero Coupon Inflation Swap'
A zerocoupon security does not make periodic interest payments during the life of the investment. Instead, a lump sum is paid on the maturity date to the holder of the security. Likewise, with a zero coupon inflation swap, both income streams are paid as one lumpsum payment when the swap reaches maturity and the inflation level is known, instead of actually exchanging payments periodically. The payoff at maturity depends on the inflation rate realized over a given period of time as measured by an inflation index. In effect, the zero coupon inflation swap is a bilateral contract used to provide a hedge against inflation.
Under a zero coupon inflation swap, the inflation receiver or buyer pays a predetermined fixed rate and, in return, receives an inflationlinked payment from the inflation payer or seller. The side of the contract that pays a fixed rate is referred to as the fixed leg, while the other end of the derivatives contract is the inflation leg. The fixed rate is called the breakeven swap rate and depends on the current time and the inflation period. The payments from both legs captures the difference between expected and actual inflation. If actual inflation exceeds expected inflation, the resulting positive return to the buyer is considered a capital gain. As inflation rises, the buyer earns more; if inflation falls, the buyer earns less.
While payment is typically exchanged at the end of the swap term, a buyer may choose to sell the swap on the overthecounter (OTC) market prior to maturity. The inflation buyer pays:
Fixed leg = N x [(1 + R)^{t} – 1]
where N = reference notional of the swap
R = the fixed rate
t = the number of years after the start date
The inflation seller pays an amount given by the change of the price index.
Inflation leg = N x [(Reference Index_{End} / Reference Index_{Start})  1]
For example, assuming two parties enter into a 5year zero coupon inflation swap with a notional of $1 million and 2.4% fixed rate quoted in the market, the fixed rate leg will pay:
Fixed leg = $1,000,000 x [(1.024)^{5} – 1)]
= $1,000,000 x 0.1259
= $125,899.91
If compounded inflation rises above 2.4%, the buyer gains; if rates fall below 2.4%, the buyer will record a loss.
The currency of the swap determines the price index that is used to calculate the rate of inflation. For example, a swap denominated in U.S. dollars would be based on the Consumer Price Index (CPI), a proxy for inflation that measures price changes in a basket of goods and services in the United States. A swap denominated in British pounds would typically be based on Great Britain's Retail Price Index (RPI).
Like every debt contract, a zero coupon inflation swap is subject to the risk of default from either party either because of temporary liquidity problems or more significant structural issues, such as insolvency. To mitigate this risk, both parties may agree to put up collateral for the amount due.
Other financial instruments that can be used to hedge against inflation risk are real yield inflation swaps, price index inflation swaps, Treasury Inflation Protected Securities (TIPS), municipal and corporate inflationlinked securities, inflationlinked certificates of deposit, and inflationlinked savings bonds.

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