Academic literature on the topic 'Nelson-Siegel interest rate model'

Forecasting interest rates structures plays a fundamental role in the fixed income and bond markets. The development of dynamic modeling, especially after Nelson and Siegel (1987) work, parsimonious models based in a few parameter shed light over a new path for the market players. Despite the extensive literature on the term structure of interest rates modeling and the existence in the Brazilian market of various yield curves from different traded asset classes, the literature focused only in the fixed rate curve. In this work we expand the existing literature on modeling the term structure of Brazilian interest rates evaluating all the yield curves of Brazilian market using the methodology proposed by Nelson and Siegel. We use Non Linear Least Squares (NLLS) to estimate the model parameters for almost 10 years of monthly data and model these parameters with the traditional VAR/VEC model. The results show that it is possible to estimate the Nelson Siegel model for the Brazilian curves. It remains for future research the modeling of their variances as well as the possibility to develop a global Brazilian model using Kalman Filter using the Diebold. Li. and Yue (2006) approach.

In this study, we analyze the term structure of credit default swaps (CDSs) and predict future term structures using the Nelson–Siegel model, recurrent neural network (RNN), support vector regression (SVR), long short-term memory (LSTM), and group method of data handling (GMDH) using CDS term structure data from 2008 to 2019. Furthermore, we evaluate the change in the forecasting performance of the models through a subperiod analysis. According to the empirical results, we confirm that the Nelson–Siegel model can be used to predict not only the interest rate term structure but also the CDS term structure. Additionally, we demonstrate that machine-learning models, namely, SVR, RNN, LSTM, and GMDH, outperform the model-driven methods (in this case, the Nelson–Siegel model). Among the machine learning approaches, GMDH demonstrates the best performance in forecasting the CDS term structure. According to the subperiod analysis, the performance of all models was inconsistent with the data period. All the models were less predictable in highly volatile data periods than in less volatile periods. This study will enable traders and policymakers to invest efficiently and make policy decisions based on the current and future risk factors of a company or country.

A novel class of dimension reduction methods is combined with a stochastic multi-factor panel regression-based state-space model in order to model the dynamics of yield curves whilst incorporating regression factors. This is achieved via Probabilistic Principal Component Analysis (PPCA) in which new statistically-robust variants are derived also treating missing data. We embed the rank reduced feature extractions into a stochastic representation for state-space models for yield curve dynamics and compare the results to classical multi-factor dynamic Nelson–Siegel state-space models. This leads to important new representations of yield curve models that can be practically important for addressing questions of financial stress testing and monetary policy interventions, which can incorporate efficiently financial big data. We illustrate our results on various financial and macroeconomic datasets from the Euro Zone and international market.

PurposeSolvency-II is the current regulatory framework of insurance companies in the European Union. Under this standard, European Insurance and Occupational Pension Authority (EIOPA), as a regulatory board, has established that the Smith–Wilson (SW) model can be used as the model to estimate interest rate curve. This paper aims to analyze whether this model adjusts to the market curve better than Nelson–Siegel (NS) and whether the values set for the parameters are adequate.Design/methodology/approachThis empirical study analyzes whether the SW interest rate curve shows lower root mean squared errors than the NS curve for a sample of daily prices of Spanish Government bonds between 2014 and 2019.FindingsThe results indicate that NS adjusts the market data better, the parameters recommended by the EIOPA correspond to the maximum values observed in the sample period and the current recommended curve for insurance companies underestimates company operations.Originality/valueThis paper verifies that the criterion of the last liquid point does not allow for selecting an optimal sample to adjust the curve and criteria based on prices without arbitrage opportunities are more appropriate.

The effect of forward guidance on interest rate expectations in small, open economies is often described as heterogeneous. There are examples when financial markets adjusted term structure to reflect interest rate forecasts provided in the projections published by the central banks. On the other hand, medium-term expectations can persistently deviate from trajectories presented by decision-makers, influenced by foreign monetary policy. Our aim is to find the maximal forecast horizon where the domestic forward guidance of local banks in European economies affects market interest rate expectations strongly as compared to the ECB policy. We analyzed the term structure of interest rates in Sweden, Norway, and the Czech Republic. Central banks in these three economies provide the most mature forward guidance, e.g., regularly publishing interest rate forecasts with detailed discussions. The three-month interbank rate path calculated with the Nelson-Siegel model was contrasted with both the trajectory of policy rates presented in central bank projections and that implied by the three-month EURIBOR. We found that interest rate expectations were more influenced by ECB policy than by domestic assumptions when the forecast horizon exceeds four quarters.

Purpose – This paper aims to describe a robust empirical approach to generating plausible historically based interest rate shocks, which can be applied to any market environment. These interest rate shocks can be readily linked to movements in other key risk factors, and used to measure market risk on institutions with large fixed-income portfolios. Design/methodology/approach – Using yield curve factorization, we parameterize a time series of historical yield curves and measure interest rate shocks as the historical change in each of the model’s factors. We then demonstrate how to add these parameterized shocks to any market environment, while retaining positive rates and plausible credit spreads. Given a set of shocked interest rate curves, joint risk factor movements are calculated based upon historical, reduced form dependencies. Findings – Our approach is based upon yield curve parameterization and requires a parsimonious yet flexible factorization model. In the process of selecting a model, we evaluate three variants of the Nelson–Siegel approach to yield curve approximation and find that, in the current low interest rate environment, a 5-factor parameterization developed by Björk and Christensen (1999) is best suited for accurately translating historical interest rate movements into plausible, current period shocks. Originality/value – An accurate measure of market risk can help to inform institutions about the amount of capital needed to withstand a series of adverse market events. A plausible set of shocks is required to ensure market value, and cash flow projections are indicative of meaningful market sensitivities.

The focus of the paper is to present a new methodology for forecasting the Term Structure of Interest Rates (ETTJ). The objective is to answer the question: given the ETTJ curve at any given time, what is the ETTJ at a future date? Thus, we seek to construct an analytical expression for the prediction of an entire curve and not only for a given future price of any asset. This objective requires a predominantly analytical and theoretical approach rather than empirical or econometric. The characteristic of this approach is the development of a "hybrid" model, describing the evolution and dynamics of the ETTJ curve over time, combining three elements: a particular version of the HJM model, the Nelson-Siegel-Svensson parameterization, and an independent modeling of the short-term rate, via Hull-White model. As results are obtained analytical expressions for quantities of importance in the fixed income markets. Not being the focus of this work, the empirical evaluation appears only as an illustration, and a more rigorous empirical analysis is left for another article.

This paper evaluates methods that employ Kalman Filter to estimate Diebold and Li (2006) extensions in a state-space representation, applying the Nelson and Siegel (1987) function as measure equation and different specifications for the transition equation that determines level, slope and curvature dynamics. The models that were analyzed have the following structures in transition equation: (1) AR(1) specification, employing a diagonal covariance matrix for the residuals; (2) VAR(1) specification, employing a covariance matrix calculated with Cholesky decomposition; (3) VAR(1) extension, inserting variables related to the Covered Interest Rate Parity (CIRP); (4) VAR(1) extension, including stochastic volatility components. The major findings of this paper were: (1) evaluating the latent variables dynamics, the curvature was the factor that fitted better to the stochastic volatility component; (2) in a broad sense, even though the simplest VAR(1) model was the one that provided the best out-of-sample performance in the most part of maturities and forecasting horizons, the extension inserting variables related to the CIRP was able to overcome the former specification in some of these simulations.

Purpose The purpose of the paper is to investigate the global and regional influences on the domestic term structure of nine Asian economies. Design/methodology/approach The dynamic Nelson Siegel model was used to extract the latent factors of a country’s yield curve movements in a state-space framework using the Kalman filter. The global and regional factors of the yield curve were extracted using the dynamic factor model. Further, the Bayesian inference of Gibbs sampling approach was used to identify the influence of global and regional factors on the domestic yield curve. Findings The results suggest that financial integration does not reduce the control of monetary authorities on the front end of the yield curve, and long-term interest rate is the potential transmission channel through which the contagion of the financial crisis spreads. Practical implications The results of this study would help the monetary authorities to understand the efficacy of the monetary policy transmission mechanism. It also offers the global investors diversification opportunities for investing in the Asian bond markets. Originality/value It is one of the earliest attempts to capture the global and regional yield curve movements and their impact on the emerging Asian economies yield curve. It contributes to literature by identifying the linkages in the long-term factor that is the potential channel through which crisis spreads.

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The present paper studies the yield curve, an important tool for financial decisions, due to its fundamental role in the implementation and evaluation of monetary policies by the central banks. It also shows market perspectives in relation to the future development of interest rates, inflation and economical activities. Using an adequate model and a reasoned assessment of its parameters enables us to adjust the curve as far as possible to the real curve and hence obtain most precise and trustful results. These results were acquired by studying a model which was developed in 1987 by Nelson and Siegel and used to draw up the yield curve. Considering the model s limitations, diferent methods were used to attain the estimated parameters, such as Ordinary Least Squares, Maximum Likelihood and Bayesian Inference in the static version. The Nelson-Siegel model is widely used in Brazil and in the rest of the world, due to its economical idea, easy implementation and eficient adjustment into diferent formats that the yield curve is able to deal with. By considering the restrictions of the model, we found estimations for the parameters of the model safer than other and besides, the main point of this work is an estimation form of parameters of time together with others parameters of the model without considering one fixed value for it.
O objeto de estudo deste trabalho é a curva de taxas de juros, uma importante ferramenta utilizada em decisões financeiras, pois desempenha um papel fundamental na implementação e avaliação de políticas monetárias pelos bancos centrais. Assim sendo, indica as expectativas do mercado quanto ao comportamento futuro das taxas de juros, inflação e atividade econômica. A utilização de um bom modelo e uma boa estimação dos parâmetros do mesmo nos permite representar a curva ajustada o mais próximo da curva real, dessa forma, conseguimos encontrar resultados mais precisos e confiáveis. Neste trabalho estudamos o modelo utilizado para construção das curvas de taxas de juros desenvolvido em 1987 por Nelson e Siegel (1987) e métodos, considerando as restrições do modelo, para obtermos as estimativas dos parâmetros (Mínimos Quadrados Ordinários, Máxima Verossimilhança e Inferência Bayesiana) na vers~ao estática. O modelo de Nelson e Siegel apresenta grande aplicação tanto no Brasil quanto no restante do mundo, pois ele apresenta como características seu caráter parcimonioso nos parâmetros, sua fácil implementação e ajuste eficiente nos diversos formatos que a curva de taxas de juros pode assumir. Por considerarmos as restrições do modelo, encontramos estimativas para os parâmetros do modelo mais seguras e além disso, como principal contribuição deste trabalho, temos uma forma de estimação do parâmetro de tempo conjuntamente com os demais parâmetros do modelo, sem considerar apenas um valor fixo para ele.

Exchange rate forecasting is hard issue for most of floating exchange rate economies. Studying exchange rate is very attractive matter since almost no model could beat random walk in short run yet. Relative yields and information in relative yield curves are contemporary topics in empirical literature and this study follows Chen and Tsang (2009) who model exchange rate changes with relative factors obtained from Nelson-Siegel (1987) yield curve model and find that relative factor model can forecast exchange rate change up to 2 years and perform better than random walk in short run. Analysis follows the methodology defined by Chen and Tsang (2009) and TL/USD, TL/EUR exchange rate changes are modeled by the relative factors namely relative level, relative slope and relative curvature. Basically, 162 weekly datasets from 09.01.2007 to 16.03.2010 are used and the relative factors for each week are estimated. Afterwards, regression analysis is made and results show that relative level and relative curvature factors are significant up to 4-6 weeks horizon but relative slope does not provide any valuable information for exchange rate prediction in Turkish financial market. Length of forecasting horizon of relative factor model is too short when compared to other exchange rate models. Since it is accepted that exchange rates follow random walk, we provided some tests to compare performance of the model. Similar to the literature, only short run performance of relative factor model is compared to random walk model and concluded that the relative factor model does not provide better forecasting performance in Turkish financial market

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Muitos estudos sobre a Estrutura a Termo das Taxas de Juros (ETTJ) focam na análise de um único país, geralmente uma economia desenvolvida. São raros os estudos que avaliam as características das curvas de juros para um conjunto de países desenvolvidos, e ainda mais raros os estudos que avaliam essas características para países emergentes. Este estudo parametrizou a ETTJ de 19 economias por um período de 10 anos, divididas entre economias desenvolvidas e emergentes, identificando as principais características que definem cada grupo, algumas das quais se revelaram contraintuitivas. A parametrização das curvas de juros também foi utilizada para remover o ruído dos dados originais, o que permitiu uma análise mais precisa dos fatores que explicam suas variâncias. Com isso, foram encontradas evidências de diferenças relevantes no peso dos fatores nível, inclinação e curvatura na explicação das variações na ETTJ para os países desenvolvidos em relação aos países emergentes.
Many studies on Term Structure of Interest Rates (TSIR) focus on the analysis of a single country, usually a developed economy. Seldom do studies evaluate the features of yield curves for a set of developed countries, and even more rarely do studies evaluate these features for emerging countries. The present study evaluates the parametric TSIR of 19 economies over a period of 10 years, grouped into two distinct sets: developed and emerging economies. It identifies the main features, some of which have proved counterintuitive, that define each group. The parameterization of the yield curves was also used to removed noise from the original data, which allowed for a more accurate analysis of the factors that explain its variances. Evidence of relevant differences in weights for the level, slope and curvature factors were found, which explain the variations in the TSIR of developed countries relative to emerging countries.

L'objectif de cette thèse est de fournir à la Banque Audi des outils économétriques et appliqués pour une gestion des risques plus efficace et plus robuste. Les banques libanaises sont aujourd'hui confrontées à des défis plus importants que jamais: l'avenir de la région Moyen-Orient repose sur les conséquences de la guerre civile syrienne. Dans ce contexte, la gestion des taux d'intérêt et de la liquidité s'avère de plus en plus compliqué pour les banques commerciales. En premier lieu, le risque de taux d'intérêt sur le marché libanais sera étudié. Ce marché est connu pour son manque de liquidité et le problème de calibrage des modèles de taux est difficile. Afin de résoudre ce problème, nous utilisons les prix historiques des obligations émises par le gouvernement libanais et libellées en monnaie locale et en dollars américains. Nous considérons des modèles de Nelson-Siegel et Svensson et contraignons le niveau corrélation des facteurs pour stabiliser l'estimation des paramètres de ces modèles. La méthode conduit à des résultats qui s'interprètent très facilement d'un point de vue économique et peuvent être utilisés pour la prévision des variations de la courbe des taux en se basant une analyse ´économique prospective. En second lieu, la problématique des dépôts des clients traditionnels sera étudiée. Ces derniers sont reconnus comme étant la source principale de financement des banques commerciales libanaises (80-85% du passif). Bien qu'ils soient contractuellement des dépôts à court terme (principalement un mois) versant des taux d'intérêt fixes, ces dépôts sont assimilés à une source de financement stable possédant un comportement proche des taux d'intérêt du marché. Nous développons un modèle à correction d'erreur représentant un équilibre à long terme entre le Libor et le taux moyen du secteur bancaire libanais offert sur les dépôts en dollars américains. Les résultats permettent de déterminer une date de réévaluation des dépôts clientèles en cas de fluctuation des taux d'intérêt. Une nouvelle duration du passif tenant compte des comportements des clients a été mise en place. Elle sera par construction plus élevée que la duration contractuelle. En cas de hausse des taux d'intérêt, une baisse de l'écart entre la duration des actifs et des passifs sera alors observée menant à la diminution de l'impact négatif de la hausse. Après avoir étudié le profil de risque des taux des dépôts clientèles, nous commençons la deuxième partie de la thèse par la détermination de l'échéancier des retraits. Nous segmentons les données historiques des données sur les dépôts clientèles selon: la monnaie, le type de dépôt et la résidence du déposant. Pour chaque filtre, un modèle `a correction d'erreur est développé. Les résultats montrent la relation entre les dépôts clientèles, un indicateur relatif du niveau économique et les écarts entre les taux offerts sur le marché libanais. Ainsi, le modèle permettra d'évaluer le comportement des retraits des dépôts clientèles et de comprendre leur profil de risque de liquidité. Les grandes institutions financières détiennent des positions importantes en actifs financiers. La dernière partie de la thèse discute de la gestion du risque de liquidité de marché en cas de session forcée de ces actifs. Nous supposons qu'un investisseur détient une position importante d'un actif donné, à t = 0, un choc sévère provoque une forte dépréciation de la valeur de l'actif et par conséquent, force l'investisseur à opter pour la liquidation du portefeuille dès que possible en limitant ses pertes. Les rendements des actions sont modélisés par des processus de type GARCH qui sont adaptés pour décrire des comportements extrêmes suite à une grande variation de l'actif au temps initial. Suivant que le marché est liquide ou illiquide, nous proposons une stratégie optimale à l'investisseur qui maximise sa fonction d'utilité. Enfin, nous intégrons dans le modèle un avis d'expert pour optimiser la prise d'une décision
The aim of this thesis is to provide Bank Audi with econometric tools for sake of a more robust risk management. Lebanese businesses today are faced with greater challenges than ever before, both economical and political, and there is a question about the future of the middle east region after the Syrian civil war. Thus, Lebanese commercial banks face greater complications in the management of interest rate and liquidity risk. The first part of this thesis discusses interest rate risk management and measurement in the Lebanese market. First, we seek to build the Lebanese term structure. This market is known by its illiquidity, yields for a given maturity make a large jump with a small impact on other yields even if close to this maturity. Therefore, we face challenges in calibrating existing yield curve models. For this matter, we get historical prices of bonds issued by the Lebanese government, and denominated in Local currency and in US dollar. A new estimation method has been added to Nelson Siegel and Svensson model, we call it “Correlation Constraint Approach”. Model parameters can be interpreted from economical perspective which will be helpful in forecasting yield curve movements based on economist’s opinion. On the second hand, traditional customer deposits are the main funding source of Lebanese commercial banks (80-85% of liabilities). Although they are contractually short term (mainly one month) paying fixed interest rates, these deposits are historically known to be a stable source of funding and therefore exhibit a sticky behavior to changes in market interest rates. We develop an error correction model showing a long-run equilibrium between Libor and Lebanese banking sector average rate offered on USD deposits. Results make it possible to determine the behavioral duration (repricing date) of customer deposits when market interest rates fluctuate. Therefore, the behavioral duration of liabilities will be higher than the contractual one which will lower the duration gap between assets and liabilities and thus the negative impact of positive interest rate shocks. After understanding interest risk profile of customers’ deposits, we start the second part by determining their behavioral liquidation maturity. We get Bank Audi’s historical deposits outstanding balances filtered into the following categories: currency, account typology and residency of depositor. We develop an error correction model for each filter. Results show relationship between deposits behaviors, the coincident indicator and spreads between offered rates in the Lebanese market. The model will lead to assess behavioral liquidation maturity to deposits and understand their liquidity risk profile. This will be helpful for the funding liquidity risk management at Bank Audi. Large financial institutions are supposed to hold large positions of given assets. The last topic is related to market liquidity risk management. We suppose an investor holds a large position of a given asset. Then at time 0, a severe shock causes a large depreciation of the asset value and makes the investor decides to liquidate the portfolio as soon as possible with limited losses. Stock returns are modeled by GARCH process which has tail behaviors after large variation at time 0. Trading on liquid and illiquid markets, we provide the trader with best exit trading strategy maximizing his utility function, finally we incorporate into the model an expert opinion which will help the investor in taking the decision

Financial institutions are exposed to several different types of risk. One of the risks that can have a significant impact is the interest rate risk in the bank book (IRRBB). In 2018, the European Banking Authority (EBA) released a regulation on IRRBB to ensure that institutions make adequate risk calculations. This article proposes an IRRBB model that follows EBA's regulations. Among other things, this framework contains a deterministic stress test of the risk-free yield curve, in addition to this, two different types of stochastic stress tests of the yield curve were made. The results show that the deterministic stress tests give the highest risk, but that the outcomes are considered less likely to occur compared to the outcomes generated by the stochastic models. It is also demonstrated that EBA's proposal for a stress model could be better adapted to the low interest rate environment that we experience now. Furthermore, a discussion is held on the need for a more standardized framework to clarify, both for the institutions themselves and the supervisory authorities, the risks that institutes are exposed to.
Finansiella institutioner är exponerade mot flera olika typer av risker. En av de risker som kan ha en stor påverkan är ränterisk i bankboken (IRRBB). 2018 släppte European Banking Authority (EBA) ett regelverk gällande IRRBB som ska se till att institutioner gör tillräckliga riskberäkningar. Detta papper föreslår en IRRBB modell som följer EBAs regelverk. Detta regelverk innehåller bland annat ett deterministiskt stresstest av den riskfria avkastningskurvan, utöver detta så gjordes två olika typer av stokastiska stresstest av avkastningskurvan. Resultatet visar att de deterministiska stresstesten ger högst riskutslag men att utfallen anses vara mindre sannolika att inträffa jämfört med utfallen som de stokastiska modellera genererade. Det påvisas även att EBAs förslag på stressmodell skulle kunna anpassas bättre mot den lågräntemiljö som vi för tillfället befinner oss i. Vidare förs en diskussion gällande ett behov av ett mer standardiserat ramverk för att tydliggöra, både för institutioner själva och samt övervakande myndigheter, vilka risker institutioner utsätts för.

A popular class of yield curve models is based on the Nelson and Siegel (1987) (hereafter NS) approach of fitting yield curve data with simple functions of maturity. However, NS models are not theoretically consistent and they also lack an economic foundation, which limits their wider application in finance and economics. This thesis derives an intertemporally-consistent and arbitrage-free version of the NS model, and provides an explicit macroeconomic foundation for that augmented NS (ANS) model. To illustrate the general applicability of the ANS model, it is then applied to four distinct topics spanning finance and economics, each of which are active areas of research in their own right: i.e (1) forecasting the yield curve; (2) investigating relationships between the yield curve and the macroeconomy; (3) fixed interest portfolio management; and (4) investigating the uncovered interest parity hypothesis (UIPH). In each application, the ANS model allows the formal derivation of a parsimonious theoretical framework that captures the essence of the topic under investigation and is readily applicable in practice. Respectively: (1) the intertemporal consistency embedded in the ANS model results in a vector-autoregressive equation that projects the future yield curve from the current yield curve, and forecasts from that model outperform the random-walk benchmark; (2) the economic foundation for the ANS model leads to a single-equation relationship between the current shape of the yield curve and the magnitude and timing of future output growth, and empirical estimations confirm that the theoretical relationship holds in practice; (3) the ANS model provides a theoretically-consistent framework for quantifying risk and returns in fixed interest portfolios, and portfolios optimised ex-ante using that framework outperform a passive benchmark; and (4) the ANS model allows interest rates to be decomposed into a component related to economic fundamentals in the underlying economy, and a component related to cyclical influences. Empirical tests based on the fundamental interest rate components do not reject the UIPH, while the UIPH is rejected based on the cyclical interest rate components. This provides empirical support for suggestions in the theoretical literature that interest rate and exchange rate dynamics associated with cyclical interlinkages between the economy and financial markets under rational expectations may contribute materially to the UIPH puzzle.

Usar ativos financeiros para extrair as expectativas de mercado para algumas variáveis macroeconômicas é uma prática comum na literatura de Macro-Finanças. Nessa dissertação utilizamos títulos brasileiros para extrairmos as expectativas tanto do câmbio quanto da inflação com o uso de fatores latentes do tipo Nelson-Siegel. No primeiro capítulo desenvolvemos um modelo que tenta incorporar expectativas do mercado financeiro com os fundamentos macroeconômicos dessa variável. O modelo desenvolvido aqui difere dos modelos anteriores ao permitir volatilidades condicionais que parecem ser muito importantes no mercado cambial. Os resultados encontrados aqui indicam que os modelos com os fatores latentes e as variáveis macroeconômicas tem um poder de previsão melhor do que os modelos puramente macroeconômicos. Além disso, parece haver uma relação entre as variáveis macroeconômicas e a curva de diferencial de juros entre os países. Já no segundo capítulo utilizamos o diferencial entre rendimentos dos títulos reais e nominais usadas como preditores da inflação. O modelo aqui apresentado faz uma decomposição desse diferencial de juros, em prêmios de risco e inflação implícita usando um modelo paramétrico baseado em condições de não-arbitragem. As estimações da de inflação implícita do modelo se mostram estimadores não viesados da inflação futura para horizontes mais curtos e carregam informação para horizontes mais longos. Além disso, mostram resultados superiores que o uso somente do diferencial
Use financial assets to extract market expectations for some macroeconomic variables is a common practice in Macro-Finance literature. In this dissertation we use Brazilian securities to extract the expectations of both the exchange rate as inflation using Nelson- Siegel factors. In the first chapter we developed a model that incorporates these financial market expectations with macroeconomic variables, which are the foundations of this variable. The model developed here differs from previous models by allowing conditional volatilities that seem to be very important in the foreign exchange market. The study findings indicate that the models with latent factors and macroeconomic variables has better preditive power than purely macroeconomic models. In addition,indicates that there is a relationship between macroeconomic variables and the interest rate differential curve between countries. In the second chapter we use the spread between real and nominal bonds used as predictors of inflation. The model presented here is a decomposition of this interest differential in risk premiums and implied inflation using a parametric model based on no-arbitrage conditions. Estimates of implied inflation are non biased estimators of future inflation for shorter horizons and carry information over longer horizons. In addition, the implied inflation has superior results than that only using the differential

The scope of this study is to estimate the zero-coupon yield curve of tomorrow by using Vasicek yield curve model with the zero-coupon bond yield data of today. The raw data of this study is the yearly simple spot rates of the Turkish zero-coupon bonds with different maturities of each day from July 1, 1999 to March 17, 2004. We completed the missing data by using Nelson-Siegel yield curve model and we estimated tomorrow yield cuve with the discretized Vasicek yield curve model.

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Com o objetivo de analisar o impacto na Estrutura a Termos de Volatilidade (ETV) das taxas de juros utilizando dois diferentes modelos na estimação da Estrutura a Termo das Taxas de Juros (ETTJ) e a suposição em relação a estrutura heterocedástica dos erros (MQO e MQG ponderado pela duration), a técnica procede em estimar a ETV utilizando-se da volatilidade histórica por desvio padrão e pelo modelo auto-regressivo Exponentially Weighted Moving Average (EWMA). Por meio do teste de backtesting proposto por Kupiec para o VaR paramétrico obtido com as volatilidades das ETV´s estimadas, concluí-se que há uma grande diferença na aderência que dependem da combinação dos modelos utilizados para as ETV´s. Além disso, há diferenças estatisticamente significantes entre as ETV´s estimadas em todo os pontos da curva, particularmente maiores no curto prazo (até 1 ano) e nos prazos mais longos (acima de 10 anos).
For the purpose of analyzing the impact in Volatility Term Structure (VTS) of interest rate using two different models in the estimation of the Term Structure of Interest Rates (TSIR) and the assumption regarding the heterocedastic structure of errors (OLS and GLS weighted by duration), the technique proceeds in estimating the VTS using the historical volatility by the standard deviation and autoregressive model Exponentially Weighted Moving Average (EWMA). Through the backtesting test proposed by Kupiec for parametric VaR obtained with the volatilities of VTS’s estimate, conclude that there is a big difference in adherence that depend on the combination of the models used for VTS’s. In addition, there is statistically significant differences between the VTS’s estimated around the points of the curve, specially higher in the short term (less than 1 year) and long term (over 10 years).

The work deals with the theoretical basis and the practical approach for determining the risk-free rate of return. The aim of the work is to form recommendations which should analysts follow in determining the risk-free rate of return in the Czech Republic. The first part focuses on theoretical basis of risk-free rate of return and market interest rates. Further, the criteria of risk-free investments are defined in this chapter. The second and third part focuses on determination of the risk-free rate of return using yield to maturity of government bond and yield curve which was derived with using the Nelson-Siegel model. The table of forward rates at the end of each month from January 1999 to April 2010 is attached.

The term structure of interest rates holds a place of prominence in the financial and economic world. Though there is a vast array of literature on the issue of modeling the yield curve, there is virtually no mention of the issue of forecasting the yield curve. In the current chapter, we apply neural networks for the purpose of forecasting the zero-coupon yield curve. First the yield curve is modeled from the past data using the famous Nelson-Siegel model. Then, forecasting of the various parameters of the Nelson-Siegel yield curve is done using two different techniques: the multilayer perceptron and the feed-forward network. The forecasted Nelson-Siegel parameters are then used to predict the yield and the price of the various bonds. Results show the superiority of the feed-forward network over the multilayer perceptron for the purposes of forecasting the term structure of interest rates.