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Author: Richard C. Stapleton Publisher: ISBN: Category : Languages : en Pages : 45
Book Description
We derive general properties of two-factor models of the term structure of interest rates and, in particular, the process for futures prices and rates. Then, as a special case, we derive a no-arbitrage model of the term structure in which any two futures rates act as factors. The term structure shifts and tilts as the factor rates vary. The cross-sectional properties of the model derive from the solution of a two dimensional autoregressive process for the short-term rate, which exhibits both mean reversion and a lagged persistence parameter. We show that the correlation of the futures rates is restricted by the no-arbitrage conditions of the model. In addition, we investigate the determinants of the volatility of the futures rates of various maturities. These are shown to be related to the volatilities of the short rate, the volatility of the second factor, the degree of mean reversion and the persistence of the second factor shock. We obtain specific results for futures rates in the case where the logarithm of the short-term rate [e.g., the London Inter-Bank Offer Rate (Libor)] follows a two-dimensional process. Our results lead to empirical hypotheses that are testable using data from the liquid market for Eurocurrency interest rate futures contracts.
Author: Richard C. Stapleton Publisher: ISBN: Category : Languages : en Pages : 45
Book Description
We derive general properties of two-factor models of the term structure of interest rates and, in particular, the process for futures prices and rates. Then, as a special case, we derive a no-arbitrage model of the term structure in which any two futures rates act as factors. The term structure shifts and tilts as the factor rates vary. The cross-sectional properties of the model derive from the solution of a two dimensional autoregressive process for the short-term rate, which exhibits both mean reversion and a lagged persistence parameter. We show that the correlation of the futures rates is restricted by the no-arbitrage conditions of the model. In addition, we investigate the determinants of the volatility of the futures rates of various maturities. These are shown to be related to the volatilities of the short rate, the volatility of the second factor, the degree of mean reversion and the persistence of the second factor shock. We obtain specific results for futures rates in the case where the logarithm of the short-term rate [e.g., the London Inter-Bank Offer Rate (Libor)] follows a two-dimensional process. Our results lead to empirical hypotheses that are testable using data from the liquid market for Eurocurrency interest rate futures contracts.
Author: Richard C. Stapleton Publisher: ISBN: Category : Languages : en Pages : 51
Book Description
We derive general properties of two-factor models of the term structure of interest rates and, in particular, the process for futures prices and rates. Then, as a special case, we derive a no-arbitrage model of the term structure in which any two futures rates act as factors. The term structure shifts and tilts as the factor rates vary. The cross-sectional properties of the model derive from the solution of a two-dimensional autoregressive process for the short-term rate, which exhibits both mean reversion and a lagged persistence parameter. We show that the correlation of the futures rates is restricted by the no-arbitrage conditions of the model. In addition, we investigate the determinants of the volatility of the futures rates of various maturities. These are shown to be related to the volatilities of the short rate, the volatility of the second factor, the degree of mean reversion and the persistence of the second factor shock. We obtain specific results for futures rates in the case where the logarithm of the short-term rate [e.g., the London Inter-Bank Offer Rate (Libor)] follows a two-dimensional process. Our results lead to empirical hypotheses that are testable using data from the liquid market for Eurocurrency interest rate futures contracts.
Author: Pedro Gurrola-Perez Publisher: ISBN: Category : Languages : en Pages : 28
Book Description
The maturity effect states that the volatility of futures prices should increase as the contract approaches expiration. Numerous studies have investigated this effect for different asset classes. However, the presence of a maturity effect in short term interest rate (STIR) futures has usually only been studied considering these within a wider set of financial futures, without further consideration of their special features. Our study looks at the presence of maturity effects in STIR futures by analyzing the term structure of the volatility of the most worldwide traded contracts, taking into consideration their specific characteristics. We provide empirical evidence on the positive relation between volatility and time to maturity and show how these results relate to models of the term structure of interest rates.
Author: Kristian R. Miltersen Publisher: ISBN: Category : Languages : en Pages : 21
Book Description
Interest rate futures are basic securities and at the same time highly liquid traded objects. Despite this observation, most models of the term structure of interest rate assume forward rates as primary elements. The processes of futures prices are therefore endogenously determined in these models. In addition, in these models hedging strategies are based on forward and/or spot contracts and only to a limited extent on futures contracts.Inspired by the market model approach of forward rates by Miltersen, Sandmann, and Sondermann (1997), the starting point of this paper is a model of futures prices. Using, as the input to the model, the prices of futures on interest related assets new no-arbitrage restrictions on the volatility structure are derived. Moreover, these restrictions turn out to prevent an application of a market model based on futures prices.
Author: Ren-raw Chen Publisher: World Scientific ISBN: 9814498629 Category : Business & Economics Languages : en Pages : 173
Book Description
The book is a systematic summary of modern term structure theories and how interest rate contingent claims are priced under such theories. This is the first book on such an attempt. The book reviews important term structure models and chooses one model to consistantly demonstrate contingent claim pricing. Well-known models are included and their relationships are thoroughly discussed. The book also provides a complete process of model implementation from parameter estimation to hedging. Examples are provided throughout.
Author: Robert Brooks Publisher: ISBN: Category : Languages : en Pages : 28
Book Description
Using Eurodollar futures prices to assess information in the term structure of interest rates we find that Eurodollar futures rates have power to forecast period profits in the Eurodollar futures market (based on LIBOR). The more interesting discovery is that short-term implied futures rates have very little power in forecasting future changes in spot rates in the Eurodollar futures market. Instead, evidence in our regressions suggests that information in the term structure of LIBOR is contained in the longer maturity Eurodollar futures contracts.
Author: Gerald D. Gay Publisher: ISBN: Category : Business & Economics Languages : en Pages : 524
Book Description
Introduction to futures markets; The efficiency of the interest rate futures market; Hedging with interest rate futures; The institutional environment.
Author: Rajna Gibson Publisher: Now Publishers Inc ISBN: 1601983727 Category : Business & Economics Languages : en Pages : 171
Book Description
Modeling the Term Structure of Interest Rates provides a comprehensive review of the continuous-time modeling techniques of the term structure applicable to value and hedge default-free bonds and other interest rate derivatives.
Author: Richard C. Stapleton
Author: Richard C. Stapleton
Author: Richard C. Stapleton
Author: Richard C. Stapleton
Author: Pedro Gurrola-Perez
Author: Kristian R. Miltersen
Author: Ren-raw Chen
Author: John Y. Campbell
Author: Robert Brooks
Author: Gerald D. Gay
Author: Rajna Gibson