Inflation derivative

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In finance, inflation derivative (or inflation-indexed derivatives) refers to an over-the-counter and exchange-traded derivative that is used to transfer inflation risk from one counterparty to another. See Exotic derivatives.

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Derivative

Typically, real rate swaps also come under this bracket, such as asset swaps of inflation-indexed bonds (government-issued inflation-indexed bonds, such as the Treasury Inflation Protected Securities, UK inflation-linked gilt-edged securities (ILGs), French OATeis, Italian BTPeis, German Bundeis and Japanese JGBis are prominent examples). Inflation swaps are the linear form of these derivatives. They can take a similar form to fixed versus floating interest rate swaps (which are the derivative form for fixed rate bonds), but use a real rate coupon versus floating, but also pay a redemption pickup at maturity (i.e., the derivative form of inflation-indexed bonds).

Inflation swaps are typically priced on a zero-coupon basis (ZC) (like ZCIIS for example), with payment exchanged at the end of the term. One party pays the compounded fixed rate and the other the actual inflation rate for the term. Inflation swaps can also be paid on a year-on-year basis (YOY) (like YYIIS for example) where the year-on-year rate of change of the price index is paid, typically yearly as in the case of most European YOY swaps, but also monthly for many swapped notes in the US market. Even though the coupons are paid monthly, the inflation rate used is still the year-on-year rate.

Options on inflation including interest rate caps, interest rate floors and straddles can also be traded. These are typically priced against YOY swaps, whilst the swaption is priced on the ZC curve.

Asset swaps also exist where the coupon payment of the linker (inflation bond) as well as the redemption pickup at maturity is exchanged for interest rate payments expressed as a premium or discount to LIBOR for the relevant bond coupon period, all dates are co-terminus. The redemption pickup is the above par redemption value in the case of par/par asset swaps, or the redemption above the proceeds notional in the case of the proceeds asset swap. The proceeds notional equals the dirty nominal price of the bond at the time of purchase and is used as the fixed notional on the LIBOR leg.

Real rate swaps are the nominal interest swap rate less the corresponding inflation swap. As for modelling, the trend has been either to provide :

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Derivative (finance) Financial instrument

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, or interest rate, and is often simply called the "underlying". Derivatives can be used for a number of purposes, including insuring against price movements (hedging), increasing exposure to price movements for speculation or getting access to otherwise hard-to-trade assets or markets. Some of the more common derivatives include forwards, futures, options, swaps, and variations of these such as synthetic collateralized debt obligations and credit default swaps. Most derivatives are traded over-the-counter (off-exchange) or on an exchange such as the Chicago Mercantile Exchange, while most insurance contracts have developed into a separate industry. In the United States, after the financial crisis of 2007–2009, there has been increased pressure to move derivatives to trade on exchanges. Derivatives are one of the three main categories of financial instruments, the other two being equity and debt. The oldest example of a derivative in history, attested to by Aristotle, is thought to be a contract transaction of olives, entered into by ancient Greek philosopher Thales, who made a profit in the exchange. Bucket shops, outlawed in 1936, are a more recent historical example.

Bond (finance) instrument of indebtedness

In finance, a bond is an instrument of indebtedness of the bond issuer to the holders. The most common types of bonds include municipal bonds and corporate bonds. Bonds can be in mutual funds or can be in private investing where a person would give a loan to a company or the government.

In finance, an interest rate swap (IRS) is an interest rate derivative (IRD). It involves exchange of interest rates between two parties. In particular it is a "linear" IRD and one of the most liquid, benchmark products. It has associations with forward rate agreements (FRAs), and with zero coupon swaps (ZCSs).

In finance, an equity derivative is a class of derivatives whose value is at least partly derived from one or more underlying equity securities. Options and futures are by far the most common equity derivatives, however there are many other types of equity derivatives that are actively traded.

Convertible bond

In finance, a convertible bond or convertible note or convertible debt is a type of bond that the holder can convert into a specified number of shares of common stock in the issuing company or cash of equal value. It is a hybrid security with debt- and equity-like features. It originated in the mid-19th century, and was used by early speculators such as Jacob Little and Daniel Drew to counter market cornering.

A swaption is an option granting its owner the right but not the obligation to enter into an underlying swap. Although options can be traded on a variety of swaps, the term "swaption" typically refers to options on interest rate swaps.

Swap (finance) financial derivative product

A swap, in finance, is an agreement between two counterparties to exchange financial instruments or cashflows or payments for a certain time. The instruments can be almost anything but most swaps involve cash based on a notional principal amount.

In finance, an interest rate derivative (IRD) is a derivative whose payments are determined through calculation techniques where the underlying benchmark product is an interest rate, or set of different interest rates. There are a multitude of different interest rate indices that can be used in this definition.

Yield curve curve showing several interest rates across different contract lengths for a similar debt contract

In finance, the yield curve is a curve showing several yields to maturity or interest rates across different contract lengths for a similar debt contract. The curve shows the relation between the interest rate and the time to maturity, known as the "term", of the debt for a given borrower in a given currency.

Fixed income

Fixed income refers to any type of investment under which the borrower or issuer is obliged to make payments of a fixed amount on a fixed schedule. For example, the borrower may have to pay interest at a fixed rate once a year, and to repay the principal amount on maturity. Fixed-income securities can be contrasted with equity securities – often referred to as stocks and shares – that create no obligation to pay dividends or any other form of income.

Floating rate note bonds that have a variable coupon

Floating rate notes (FRNs) are bonds that have a variable coupon, equal to a money market reference rate, like LIBOR or federal funds rate, plus a quoted spread. The spread is a rate that remains constant. Almost all FRNs have quarterly coupons, i.e. they pay out interest every three months. At the beginning of each coupon period, the coupon is calculated by taking the fixing of the reference rate for that day and adding the spread. A typical coupon would look like 3 months USD LIBOR +0.20%.

Inflation-indexed bond bonds where the principal is indexed to inflation or deflation on a daily basis

Daily inflation-indexed bonds are bonds where the principal is indexed to inflation or deflation on a daily basis. They are thus designed to hedge the inflation risk of a bond. The first known inflation-indexed bond was issued by the Massachusetts Bay Company in 1780. The market has grown dramatically since the British government began issuing inflation-linked Gilts in 1981. As of 2019, government-issued inflation-linked bonds comprise over $3.1 trillion of the international debt market. The inflation-linked market primarily consists of sovereign bonds, with privately issued inflation-linked bonds constituting a small portion of the market.

In finance, a bond option is an option to buy or sell a bond at a certain price on or before the option expiry date. These instruments are typically traded OTC.

The notional amount on a financial instrument is the nominal or face amount that is used to calculate payments made on that instrument. This amount generally does not change and is thus referred to as notional.

Credit default swap index

A credit default swap index is a credit derivative used to hedge credit risk or to take a position on a basket of credit entities. Unlike a credit default swap, which is an over the counter credit derivative, a credit default swap index is a completely standardized credit security and may therefore be more liquid and trade at a smaller bid-offer spread. This means that it can be cheaper to hedge a portfolio of credit default swaps or bonds with a CDS index than it would be to buy many single name CDS to achieve a similar effect. Credit-default swap indexes are benchmarks for protecting investors owning bonds against default, and traders use them to speculate on changes in credit quality.

The following outline is provided as an overview of and topical guide to finance:

A property derivative is a financial derivative whose value is derived from the value of an underlying real estate asset. In practice, because individual real estate assets fall victim to market inefficiencies and are hard to accurately price, property derivative contracts are typically written based on a real estate property index. In turn, the real estate property index attempts to aggregate real estate market information to provide a more accurate representation of underlying real estate asset performance. Trading or taking positions in property derivatives is also known as synthetic real estate.

An inflation swap is an agreement between two counterparties to swap fixed rate payments on a notional principal amount for floating rate payments linked to an inflation index, such as the consumer price index.

Fabio Mercurio is an Italian mathematician, internationally known for a number of results in mathematical finance.

In finance, a zero coupon swap (ZCS) is an interest rate derivative (IRD). In particular it is a linear IRD, that in its specification is very similar to the much more widely traded interest rate swap (IRS).

References

  1. https://ssrn.com/abstract=576081, A Market Model for Inflation by Nabyl Belgrade, Eric Benhamou, Etienne Koehler, January 2004
  2. http://www.derivsource.com/articles/pricing-partners-extends-significantly-its-inflation-module-market-standard-%E2%80%9Cbbk%E2%80%9D-model, Pricing Partners Extends Significantly its Inflation Module with the Market Standard BBK Model, June 2009
  3. http://www.fabiomercurio.it/stochinf.pdf, Pricing Inflation Indexed options with stochastic volatility, Fabio Mercurio, Nicola Moreni, August 2005

Further reading