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Lecture

Interest Rate Futures and Convexity Adjustment

Description

This lecture covers interest rate futures, including the futures rate formula and marking to market process. It also explains the convexity adjustment in Gaussian HJM models and provides an example using the Vasiček model.

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Related concepts (21)

Short-rate model

A short-rate model, in the context of interest rate derivatives, is a mathematical model that describes the future evolution of interest rates by describing the future evolution of the short rate, usually written . Under a short rate model, the stochastic state variable is taken to be the instantaneous spot rate. The short rate, , then, is the (continuously compounded, annualized) interest rate at which an entity can borrow money for an infinitesimally short period of time from time .

Interest rate swap

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 its December 2014 statistics release, the Bank for International Settlements reported that interest rate swaps were the largest component of the global OTC derivative market, representing 60%, with the notional amount outstanding in OTC interest rate swaps of

381 trillion, and the gross market value of

14 trillion.

Futures contract

In finance, a futures contract (sometimes called futures) is a standardized legal contract to buy or sell something at a predetermined price for delivery at a specified time in the future, between parties not yet known to each other. The asset transacted is usually a commodity or financial instrument. The predetermined price of the contract is known as the forward price. The specified time in the future when delivery and payment occur is known as the delivery date.

Futures exchange

A futures exchange or futures market is a central financial exchange where people can trade standardized futures contracts defined by the exchange. Futures contracts are derivatives contracts to buy or sell specific quantities of a commodity or financial instrument at a specified price with delivery set at a specified time in the future. Futures exchanges provide physical or electronic trading venues, details of standardized contracts, market and price data, clearing houses, exchange self-regulations, margin mechanisms, settlement procedures, delivery times, delivery procedures and other services to foster trading in futures contracts.

Option-adjusted spread

Option-adjusted spread (OAS) is the yield spread which has to be added to a benchmark yield curve to discount a security's payments to match its market price, using a dynamic pricing model that accounts for embedded options. OAS is hence model-dependent. This concept can be applied to a mortgage-backed security (MBS), or another bond with embedded options, or any other interest rate derivative or option. More loosely, the OAS of a security can be interpreted as its "expected outperformance" versus the benchmarks, if the cash flows and the yield curve behave consistently with the valuation model.

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Interest Rate Derivatives: Calibration Example

Covers the calibration of interest rate models using a two-factor Gaussian HJM model and the computation of Black and Bachelier cap vegas.

Short Rate Models: Vasiček and CIR

Explores short rate models, including Vasiček and CIR, affine bond prices, and time-inhomogeneous models.

Estimating the Term Structure: Exact Methods

Explores exact methods for estimating the term structure in interest rate models, emphasizing the importance of choosing the right discount curve.