Do U.S. and Colombian macro factors improve the forecasting ability of unrestricted VAR models of the local term structure of interest rate?

Este estudio empírico compara la capacidad de los modelos Vectores auto-regresivos (VAR) sin restricciones para predecir la estructura temporal de las tasas de interés en Colombia -- Se comparan modelos VAR simples con modelos VAR aumentados con factores macroeconómicos y financieros colombianos y estadounidenses -- Encontramos que la inclusión de la información de los precios del petróleo, el riesgo de crédito de Colombia y un indicador internacional de la aversión al riesgo mejora la capacidad de predicción fuera de la muestra de los modelos VAR sin restricciones para vencimientos de corto plazo con frecuencia mensual -- Para vencimientos de mediano y largo plazo los modelos sin variables macroeconómicas presentan mejores pronósticos sugiriendo que las curvas de rendimiento de mediano y largo plazo ya incluyen toda la información significativa para pronosticarlos -- Este hallazgo tiene implicaciones importantes para los administradores de portafolios, participantes del mercado y responsables de las políticas

An evaluation of the transmission of the policy interest rate to the financial system’s interest rates in Colombia

This paper studies monetary policy transmission using several statistical tools -- We find that the relationships between the policy interest rate and the financial system’s interest rates are positive and statistically significant, and transmission is complete eight months after policy shocks occur -- The speed of transmission varies according to the type of interest rates -- Transmission is faster for interest rates on loans provided to households, and is particularly rapid and complete for rates on preferential commercial loans -- Transmission is slower for credit card and mortgage rates, due to regulatory issues (interest rate ceilings)

Interest rate (in)sensitivity of emerging market corporate debt : economic analysis based on 2002-2015 empirical evidence

Interest rate sensitivity assessment framework based on fixed income yield indexes is developed and applied to two types of emerging market corporate debt: investment grade and high yield exposures. Our research advances beyond the correlation analyses focused on co- movements in yields and/or spreads of risky and risk-free assets. We show that correlation- based analyses of interest rate sensitivity could appear rather inconclusive and, hence, we investigate the bottom line profit and loss of a hypothetical model portfolio of corporates. We consider historical data covering the period 2002 – 2015, which enable us to assess interest rate sensitivity of assets during the development, the apogee, and the aftermath of the global financial crisis. Based on empirical evidence, both for investment and speculative grades securities, we find that the emerging market corporates exhibit two different regimes of sensitivity to interest rate changes. We observe switching from a positive sensitivity under the normal market conditions to a negative one during distressed phases of business cycles. This research sheds light on how financial institutions may approach interest rate risk management, evidencing that even plain vanilla portfolios of emerging market corporates, which on average could appear rather insensitive to the interest rate risk in fact present a binary behavior of their interest rate sensitivities. Our findings allow banks and financial institutions for optimizing economic capital under Basel III regulatory capital rules.

Governed by the cycle : direct and inverted interest-rate sensitivity of emerging market corporate debt

An innovative approach to quantify interest rate sensitivities of emerging market corporates is proposed. Our focus is centered at price sensitivity of modeled investment grade and high yield portfolios to changes in the present value of modeled portfolios composed of safe-haven assets, which define risk-free interest rates. Our methodology is based on blended yield indexes. Modeled investment horizons are always kept above one year thus allowing to derive empirical implications for practical strategies of interest rate risk management in the banking book. As our study spans over the period 2002 – 2015, it covers interest rate sensitivity of assets under the pre-crisis, crisis, and post-crisis phases of the economic cycles. We demonstrate that the emerging market corporate bonds both, investment grade and high yield types, depending on the phase of a business cycle exhibit diverse regimes of sensitivity to interest rate changes. We observe switching from a direct positive sensitivity under the normal pre-crisis market conditions to an inverted negative sensitivity during distressed turmoil of the recent financial crisis, and than back to direct positive but weaker sensitivity under new normal post-crisis conjuncture. Our unusual blended yield-based approach allows us to present theoretical explanations of such phenomena from economics point of view and helps us to solve an old controversy regarding positive or negative responses of credit spreads to interest rates. We present numerical quantification of sensitivities, which corroborate with our conclusion that hedging of interest rate risk ought to be a dynamic process linked to the phases of business cycles as we evidence a binary-like behavior of interest rate sensitivities along the economic time. Our findings allow banks and financial institutions for approaching downside risk management and optimizing economic capital under Basel III regulatory capital rules.

Three essays on the interest rate cruve multiplicity in the interbank market

Esta tesis lleva por título ”Tres ensayos sobre la multiplicidad de curvas de tipos de interés en el mercado interbancario” y está compuesta por tres artículos de investigación independientes en los que se analiza la evolución de los diferenciales del mercado interbancario del Euro en el periodo post-crisis. El objetivo es obtener información embebida en las cotizaciones de estos diferenciales emplenado distintas metodologías e identificar las variables que subyacen al fenómeno de la multiplicidad de curvas, caracterizando el papel que juegan a la hora de explicar esta evolución. El análisis se realiza según una aproximación cercana a la práctica de mercado (Capítulo 2), siguiendo técnicas de valoración de activos (Capítulo 3) y finalmente considerando métodos econométricos (Capítulo 4). El Capítulo 2, que incluye el primer ensayo, se centra en la evolución dinámica de las distintas curvas de tipos de interés surgidas a raíz de la crisis -diferenciadas por la periodicidad de pago del tipo de interés subyacente- a través del estudio de sus diferenciales respecto a la curva overnight. La metodología empleada es similar a la de Diebold and Li (2006) y se resume en tres factores principales que se interpretan como nivel, pendiente y curvatura. El análisis de componentes principales de estos factores para distintas periodicidades muestra que existen patrones comunes entre los factores de las diferentes curvas, en particular el primer componente principal explica el 90% de su variación. El estudio de los determinantes de estos factores revela importantes conclusiones sobre las fuentes de este patrón. En concreto, se observa que el nivel tiene una relación muy importante con el riesgo de crédito. Asimismo, el estudio del contenido informacional de los errores residuales del modelo -mediante el cómputo de la medida de ruido de Hu et al. (2013)- nos lleva a concluir que estos residuos tienen relación con la liquidez. El análisis de estos datos empleando téncicas VAR refuerza estos resultados...

Principal component analysis of the yield curve

A Work Project, presented as part of the requirements for the Award of a Masters Degree in Finance from the NOVA – School of Business and Economics

La estructura a plazos del riesgo interbancario

Este documento propone un modelo para la estructura a plazos del riesgo interbancario a partir del spread entre los Interest Rate Swap (IRS) y los Overnight Indexed Swaps (OIS) en dólares durante la crisis financiera 2007-08 y la crisis del euro en 2010. Adicionalmente hace la descomposición del riesgo interbancario entre riesgo de default y no-default (liquidez). Los resultados sugieren que la crisis financiera tuvo importantes repercusiones en la estructura a plazos del riesgo interbancario y sus componentes: en los años previos a la crisis, el riesgo de no-default explicaba la mayor parte del riesgo interbancario; durante la crisis y posterior a ella, el riesgo de default conducía el comportamiento del riesgo interbancario. Adicionalmente, se encuentra que, a partir de la estructura a plazos de cada componente del riesgo interbancario, la crisis financiera se caracterizó por ser un problema más de corto que de largo plazo, en contraste con la crisis del euro de 2010. Estos resultados siguen lo propuesto por Filipovic & Trolle (2012) y dejan importantes implicaciones sobre el riesgo interbancario durante los periodos de stress financiero.

La estructura a plazos del riesgo interbancario

Este documento propone un modelo para la estructura a plazos del riesgo interbancario a partir del spread entre los Interest Rate Swap (IRS) y los Overnight Indexed Swaps (OIS) en dólares durante la crisis financiera 2007-08 y la crisis del euro en 2010. Adicionalmente hace la descomposición del riesgo interbancario entre riesgo de default y no-default (liquidez). Los resultados sugieren que la crisis financiera tuvo importantes repercusiones en la estructura a plazos del riesgo interbancario y sus componentes: en los años previos a la crisis, el riesgo de no-default explicaba la mayor parte del riesgo interbancario; durante la crisis y posterior a ella, el riesgo de default conducía el comportamiento del riesgo interbancario. Adicionalmente, se encuentra que, a partir de la estructura a plazos de cada componente del riesgo interbancario, la crisis financiera se caracterizó por ser un problema más de corto que de largo plazo, en contraste con la crisis del euro de 2010. Estos resultados siguen lo propuesto por Filipovic & Trolle (2012) y dejan importantes implicaciones sobre el riesgo interbancario durante los periodos de stress financiero.

Tassi e rischiosità delle imprese: un’analisi empirica ed econometrica

Questo lavoro tratta dei tassi e della rischiosità delle imprese. In particolare, si esamina il collegamento esistente fra i tassi a medio-lungo termine europei e quelli americani e come ad esempio i tassi d’interesse forward dell’Eurirs derivino dall’euro e dalla struttura a termine dei tassi IRS sul dollaro. Le tecniche econometriche applicate sono la cointegrazione, la causalità di Granger, il GMM, il metodo di Rigobon e Sack (2004). Nella seconda parte si introduce una relazione per la stima dell’EONIA prima e durante la politica di full allottment della BCE. Nell’analisi empirica si usano tre differenti stimatori: OLS, Tobit e NLS e si considera il fatto che l’EONIA si muove all’interno del corridoio dei tassi, (formato dal tasso sui deposit facilities e sui marginal lending). L’ultima parte è dedicata allo studio della rischiosità delle imprese per mezzo dei principali indicatori di rischio (le tre formulazioni dello Z score di Altman e l’indice di Ohlson) a livello italiano ed europeo. I metodi d’analisi statistica utilizzati sono la regressione quantile, il Logit e il Probit.

Can the choice of interpolation method explain the difference between swap prices and futures prices?

The standard model linking the swap rate to the rates in a contemporaneous strip of futures interest rate contracts typically produces biased estimates of the swap rate. Institutional differences usually require some form of interpolation to be employed and may in principle explain this empirical result. Using Australian data, we find evidence consistent with this explanation and show that model performance is greatly improved if an alternative interpolation method is used. In doing so, we also provide the first published Australian evidence on the accuracy of the futures-based approach to pricing interest rate swaps.

The sensitivity of US banks' stock returns to interest and exchange rate changes

Purpose – The purpose of this paper is to investigate the impact of foreign exchange and interest rate changes on US banks’ stock returns. Design/methodology/approach – The approach employs an EGARCH model to account for the ARCH effects in daily returns. Most prior studies have used standard OLS estimation methods with the result that the presence of ARCH effects would have affected estimation efficiency. For comparative purposes, the standard OLS estimation method is also used to measure sensitivity. Findings – The findings are as follows: under the conditional t-distributional assumption, the EGARCH model generated a much better fit to the data although the goodness-of-fit of the model is not entirely satisfactory; the market index return accounts for most of the variation in stock returns at both the individual bank and portfolio levels; and the degree of sensitivity of the stock returns to interest rate and FX rate changes is not very pronounced despite the use of high frequency data. Earlier results had indicated that daily data provided greater evidence of exposure sensitivity. Practical implications – Assuming that banks do not hedge perfectly, these findings have important financial implications as they suggest that the hedging policies of the banks are not reflected in their stock prices. Alternatively, it is possible that different GARCH-type models might be more appropriate when modelling high frequency returns. Originality/value – The paper contributes to existing knowledge in the area by showing that ARCH effects do impact on measures of sensitivity.

An empirical investigation of the level effect in Australian interest rates

An extensive literature examines the dynamics of interest rates, with particular attention given to the positive relationship between interest-rate volatility and the level of interest rates—the so-called level effect. This paper examines the interaction between the estimated level effect and competing parameterisations of interest-rate volatility for the Australian yield curve. We adopt a new methodology that estimates elasticity in a multivariate setting that explicitly accommodates the correlations that exist between various yield factors. Results show that significant correlations exist between the residuals of yield factors and that such correlations do indeed impact on model estimates. Within the multivariate setting, the level of the short rate is shown to be a crucial determinant of the conditional volatility of all three yield factors. Measures of model fit suggest that, in addition to the usual level effect, the incorporation of GARCH effects and possible regime shifts is important

Markov Switching Risk Premium and the term structure of interest rates. Empirical evidence from US post-war interest rates

This paper considers the basic present value model of interest rates under rational expectations with two additional features. First, following McCallum (1994), the model assumes a policy reaction function where changes in the short-term interest rate are determined by the long-short spread. Second, the short-term interest rate and the risk premium processes are characterized by a Markov regime-switching model. Using US post-war interest rate data, this paper finds evidence that a two-regime switching model fits the data better than the basic model. The estimation results also show the presence of two alternative states displaying quite different features.

Modeling Multivariate Interest Rates Using Time-Varying Copulas and Reducible Nonlinear Stochastic Differential Equations

We propose a new approach for modeling nonlinear multivariate interest rate processes based on time-varying copulas and reducible stochastic differential equations (SDEs). In the modeling of the marginal processes, we consider a class of nonlinear SDEs that are reducible to Ornstein--Uhlenbeck (OU) process or Cox, Ingersoll, and Ross (1985) (CIR) process. The reducibility is achieved via a nonlinear transformation function. The main advantage of this approach is that these SDEs can account for nonlinear features, observed in short-term interest rate series, while at the same time leading to exact discretization and closed-form likelihood functions. Although a rich set of specifications may be entertained, our exposition focuses on a couple of nonlinear constant elasticity volatility (CEV) processes, denoted as OU-CEV and CIR-CEV, respectively. These two processes encompass a number of existing models that have closed-form likelihood functions. The transition density, the conditional distribution function, and the steady-state density function are derived in closed form as well as the conditional and unconditional moments for both processes. In order to obtain a more flexible functional form over time, we allow the transformation function to be time varying. Results from our study of U.S. and UK short-term interest rates suggest that the new models outperform existing parametric models with closed-form likelihood functions. We also find the time-varying effects in the transformation functions statistically significant. To examine the joint behavior of interest rate series, we propose flexible nonlinear multivariate models by joining univariate nonlinear processes via appropriate copulas. We study the conditional dependence structure of the two rates using Patton (2006a) time-varying symmetrized Joe--Clayton copula. We find evidence of asymmetric dependence between the two rates, and that the level of dependence is positively related to the level of the two rates. (JEL: C13, C32, G12) Copyright The Author 2010. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oxfordjournals.org, Oxford University Press.