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Constant Maturity Swap
A constant maturity swap (CMS) is a swap that allows the purchaser to fix the duration of received flows on a swap. The floating leg of an interest rate swap typically resets against a published index. The floating leg of a constant maturity swap fixes against a point on the swap curve on a periodic basis. A constant maturity swap is an interest rate swap where the interest rate on one leg is reset periodically, but with reference to a market swap rate rather than LIBOR. The other leg of the swap is generally LIBOR, but may be a fixed rate or potentially another constant maturity rate. Constant maturity swaps can either be single currency or cross currency swaps. Therefore, the prime factor for a constant maturity swap is the shape of the forward implied yield curves. A single currency constant maturity swap versus LIBOR is similar to a series of differential interest rate fixes (or "DIRF") in the same way that an interest rate swap is similar to a series of forward rate agreem ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Swap (finance)
In finance, a swap is an agreement between two counterparty, counterparties to trade, exchange financial instruments, cashflows, or payments for a certain time. The instruments can be almost anything but most swaps involve cash based on a notional principal amount.Financial Industry Business Ontology Version 2 , Annex D: Derivatives, EDM Council, Inc., Object Management Group, Inc., 2019 The general swap can also be seen as a series of forward contracts through which two parties exchange financial instruments, resulting in a common series of exchange dates and two streams of instruments, the ''legs'' of the swap. The legs can be almost anything but usually one leg involves cash flows based on a notional principal amount that both parties agree to. This principal usu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bond Duration
In finance, the duration of a financial asset that consists of fixed cash flows, such as a Bond (finance), bond, is the weighted average of the times until those fixed cash flows are received. When the price of an asset is considered as a function of Yield (finance), yield, duration also measures the price sensitivity to yield, the rate of change of price with respect to yield, or the percentage change in price for a parallel shift in yields. The dual use of the word "duration", as both the weighted average time until repayment and as the percentage change in price, often causes confusion. Strictly speaking, Macaulay duration is the name given to the weighted average time until cash flows are received and is measured in years. Modified duration is the name given to the price sensitivity. It is (-1) times the rate of change in the price of a bond as a function of the change in its yield. Both measures are termed "duration" and have the same (or close to the same) numerical value, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
LIBOR
The London Inter-Bank Offered Rate (Libor ) was an interest rate average calculated from estimates submitted by the leading Bank, banks in London. Each bank estimated what it would be charged were it to borrow from other banks. It was the primary benchmark, along with the Euribor, for short-term interest rates around the world. Libor was phased out at the end of 2021, with market participants encouraged to transition to risk-free interest rates such as SOFR and SARON. LIBOR was discontinued in the summer of 2023. The last rates were published on 30 June 2023 before 12:00 pm UK time. The 1 month, 3 month, 6 month, and 12 month Secured Overnight Financing Rate (SOFR) is its replacement. In July 2023, the International Organization of Securities Commissions (IOSCO) said four unnamed United States dollar, dollar-denominated alternatives to LIBOR, known as "credit-sensitive rates", had "varying degrees of vulnerability" that might appear during times of market stress. Libor rates w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cross Currency Swap
A cross is a religious symbol consisting of two intersecting lines, usually perpendicular to each other. The lines usually run vertically and horizontally. A cross of oblique lines, in the shape of the Latin letter X, is termed a saltire in heraldic terminology. The cross shape has been widely officially recognized as an absolute and exclusive religious symbol of Christianity from an early period in that religion's history.''Christianity: an introduction'' by Alister E. McGrath 2006 pages 321-323 Before then, it was used as a religious or cultural symbol throughout , in |
Yield Curve
In finance, the yield curve is a graph which depicts how the Yield to maturity, yields on debt instruments – such as bonds – vary as a function of their years remaining to Maturity (finance), maturity. Typically, the graph's horizontal or x-axis is a time line of months or years remaining to maturity, with the shortest maturity on the left and progressively longer time periods on the right. The vertical or y-axis depicts the annualized yield to maturity. Those who issue and trade in forms of debt, such as loans and bonds, use yield curves to determine their value. Shifts in the shape and slope of the yield curve are thought to be related to investor expectations for the economy and interest rates. Ronald Melicher and Merle Welshans have identified several characteristics of a properly constructed yield curve. It should be based on a set of securities which have differing lengths of time to maturity, and all yields should be calculated as of the same point in time. Al ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Differential Interest Rate Fix
Differential may refer to: Mathematics * Differential (mathematics) comprises multiple related meanings of the word, both in calculus and differential geometry, such as an infinitesimal change in the value of a function * Differential algebra * Differential calculus ** Differential of a function, represents a change in the linearization of a function *** Total differential is its generalization for functions of multiple variables ** Differential (infinitesimal) (e.g. ''dx'', ''dy'', ''dt'' etc.) are interpreted as infinitesimals ** Differential topology * Differential (pushforward) The total derivative of a map between manifolds. * Differential exponent, an exponent in the factorisation of the different ideal * Differential geometry, exterior differential, or exterior derivative, is a generalization to differential forms of the notion of differential of a function on a differentiable manifold * Differential (coboundary), in homological algebra and algebraic topology, one of th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Forward Rate Agreement
In finance, a forward rate agreement (FRA) is an interest rate derivative (IRD). In particular, it is a linear IRD with strong associations with interest rate swaps (IRSs). General description A forward rate agreement's (FRA's) effective description is a cash for difference derivative contract, between two parties, benchmarked against an interest rate index. That index is commonly an interbank offered rate (-IBOR) of specific tenor in different currencies, for example LIBOR in USD, GBP, EURIBOR in EUR or STIBOR in SEK. An FRA between two counterparties requires a fixed rate, notional amount, chosen interest rate index tenor and date to be completely specified.Pricing and Trading Interest Rate Derivatives: A Practical Guide to Swaps J H M Darbyshire, 2017, Extended descrip ...
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Convexity Correction
In mathematical finance, convexity refers to non-linearities in a financial model. In other words, if the price of an underlying variable changes, the price of an output does not change linearly, but depends on the second derivative (or, loosely speaking, higher-order terms) of the modeling function. Geometrically, the model is no longer flat but curved, and the degree of curvature is called the convexity. Terminology Strictly speaking, convexity refers to the second derivative of output price with respect to an input price. In derivative pricing, this is referred to as Gamma (Γ), one of the Greeks. In practice the most significant of these is bond convexity, the second derivative of bond price with respect to interest rates. As the second derivative is the first non-linear term, and thus often the most significant, "convexity" is also used loosely to refer to non-linearities generally, including higher-order terms. Refining a model to account for non-linearities is referred t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Damiano Brigo
Damiano Brigo (born Venice, Italy 1966) is a mathematician known for research in mathematical finance, filtering theory, stochastic analysis with differential geometry, probability theory and statistics, authoring more than 130 research publications and three monographs.Publications and citations page in From 2012 he serves as full professor with a chair in at the Department of Mathematics of |
Fabio Mercurio
Fabio Mercurio (born 26 September 1966) is an Italian mathematician, internationally known for a number of results in mathematical finance. Main results Mercurio worked during his Ph.D. on incomplete markets theory using dynamic mean-variance hedging techniques. With Damiano Brigo (2002–2003), he has shown how to construct stochastic differential equations consistent with mixture models, applying this to volatility smile modeling in the context of local volatility models. He is also one of the main authors in inflation modeling. Mercurio has also authored several publications in top journals and co-authored the book ''Interest rate models: theory and practice'' for Springer-Verlag, that quickly became an international reference for stochastic dynamic interest rate modeling. He is the recipient of the 2020 Risk quant-of-the-year award [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
