On the estimation and comparison of short-rate models using the generalised method of moments

Subsequent to the influential paper of [Chan, K.C., Karolyi, G.A., Longstaff, F.A., Sanders, A.B., 1992. An empirical comparison of alternative models of the short-term interest rate. Journal of Finance 47, 1209-1227], the generalised method of moments (GMM) has been a popular technique for estimation and inference relating to continuous-time models of the short-term interest rate. GMM has been widely employed to estimate model parameters and to assess the goodness-of-fit of competing short-rate specifications. The current paper conducts a series of simulation experiments to document the bias and precision of GMM estimates of short-rate parameters, as well as the size and power of [Hansen, L.P., 1982. Large sample properties of generalised method of moments estimators. Econometrica 50, 1029-1054], J-test of over-identifying restrictions. While the J-test appears to have appropriate size and good power in sample sizes commonly encountered in the short-rate literature, GMM estimates of the speed of mean reversion are shown to be severely biased. Consequently, it is dangerous to draw strong conclusions about the strength of mean reversion using GMM. In contrast, the parameter capturing the levels effect, which is important in differentiating between competing short-rate specifications, is estimated with little bias. (c) 2006 Elsevier B.V. All rights reserved.

Are there non-linearities in short-term interest rates?

The present paper investigates the characteristics of short-term interest rates in several countries. We examine the importance of nonlinearities in the mean reversion and volatility of short-term interest rates. We examine various models that allow the conditional mean (drift) and conditional variance (diffusion) to be functions of the current short rate.We find that different markets require different models. In particular, we find evidence of nonlinear mean reversion in some of the countries that we examine, linear mean reversion in others and no mean reversion in some countries. For all countries we examine, there is strong evidence of the need for the volatility of interest rate changes to be highly sensitive to the level of the short-term interest rate. Out-of-sample forecasting performance of one-factor short rate models is poor, stemming from the inability of the models to accommodate jumps and discontinuities in the time series data.

Az egyensúlyi ráták unicitása és a bérráta pozitivitása a Neumann-modell általánosításaiban (Uniqueness of equilibrium rates and the positive value of the wage rate in generalizations from the Neumann model)

Cikkünk arról a paradox jelenségről szól, hogy a fogyasztást explicit módon megjelenítő Neumann-modell egyensúlyi megoldásaiban a munkabért meghatározó létszükségleti termékek ára esetenként nulla lehet, és emiatt a reálbér egyensúlyi értéke is nulla lesz. Ez a jelenség mindig bekövetkezik az olyan dekomponálható gazdaságok esetén, amelyekben eltérő növekedési és profitrátájú, alternatív egyensúlyi megoldások léteznek. A jelenség sokkal áttekinthetőbb formában tárgyalható a modell Leontief-eljárásra épülő egyszerűbb változatában is, amit ki is használunk. Megmutatjuk, hogy a legnagyobbnál alacsonyabb szintű növekedési tényezőjű megoldások közgazdasági szempontból értelmetlenek, és így érdektelenek. Ezzel voltaképpen egyrészt azt mutatjuk meg, hogy Neumann kiváló intuíciója jól működött, amikor ragaszkodott modellje egyértelmű megoldásához, másrészt pedig azt is, hogy ehhez nincs szükség a gazdaság dekomponálhatóságának feltételezésére. A vizsgált téma szorosan kapcsolódik az általános profitráta meghatározásának - Sraffa által modern formába öntött - Ricardo-féle elemzéséhez, illetve a neoklasszikus növekedéselmélet nevezetes bér-profit, illetve felhalmozás-fogyasztás átváltási határgörbéihez, ami jelzi a téma elméleti és elmélettörténeti érdekességét is. / === / In the Marx-Neumann version of the Neumann model introduced by Morishima, the use of commodities is split between production and consumption, and wages are determined as the cost of necessary consumption. In such a version it may occur that the equilibrium prices of all goods necessary for consumption are zero, so that the equilibrium wage rate becomes zero too. In fact such a paradoxical case will always arise when the economy is decomposable and the equilibrium not unique in terms of growth and interest rate. It can be shown that a zero equilibrium wage rate will appear in all equilibrium solutions where growth and interest rate are less than maximal. This is another proof of Neumann's genius and intuition, for he arrived at the uniqueness of equilibrium via an assumption that implied that the economy was indecomposable, a condition relaxed later by Kemeny, Morgenstern and Thompson. This situation occurs also in similar models based on Leontief technology and such versions of the Marx-Neumann model make the roots of the problem more apparent. Analysis of them also yields an interesting corollary to Ricardo's corn rate of profit: the real cause of the awkwardness is bad specification of the model: luxury commodities are introduced without there being a final demand for them, and production of them becomes a waste of resources. Bad model specification shows up as a consumption coefficient incompatible with the given technology in the more general model with joint production and technological choice. For the paradoxical situation implies the level of consumption could be raised and/or the intensity of labour diminished without lowering the equilibrium rate of the growth and interest. This entails wasteful use of resources and indicates again that the equilibrium conditions are improperly specified. It is shown that the conditions for equilibrium can and should be redefined for the Marx-Neumann model without assuming an indecomposable economy, in a way that ensures the existence of an equilibrium unique in terms of the growth and interest rate coupled with a positive value for the wage rate, so confirming Neumann's intuition. The proposed solution relates closely to findings of Bromek in a paper correcting Morishima's generalization of wage/profit and consumption/investment frontiers.

Kamatlábak és árszint kis, nyitott gazdaságban = Interest rates and price levels in a small open economy

A tanulmány azt vizsgálja, hogy a különböző kamatlábaknak milyen hatásai vannak az árszintre, illetve a nominális árakra egy nyitott elsősorban kis, nyitott gazdaságban szabad tőkeáramlás mellett. Míg a zárt gazdaságban csupán a nominális és reálkamatláb megkülönböztetése a lényeges, nyitott gazdaságban a kamatlábak vizsgálatakor meg kell fontolnunk a kamatlábparitás kérdését is. Tisztáznunk kell a reálkamatláb összetevőit, amelyben fontos szerepet kap mind az árfolyam-begyűrűzés (pass-through), mind pedig a kockázati prémium mértéke. A kamatlábhatások vizsgálatakor először azt a mechanizmust elemezzük, amely által a kamatláb befolyásolja a tartós jószágok költségét (explicit vagy implicit bérleti díját). Másodszor az exportszektor termelési döntése és a hazai kamatláb viszonyára vonatkozó mechanizmust vizsgáljuk. Belátjuk, hogy az exportáló szektor döntései függetlenek lehetnek a belföldi kamatlábaktól. Harmadszor bizonyos árazási viselkedéseket tanulmányozunk. Bebizonyítjuk, hogy a kamatláb olyan növelése, ami nem változtat a jelenlegi árfolyamon, árszintnövelő az importőr ország számára. Megfogalmazható az a nézet, hogy ha van is a kamatlábaknak keresleti hatása a zárt gazdaságban, a kis, nyitott gazdaságban ez vélhetőleg sokkal gyengébb. _____ The study examines what effects various interest rates have on the price level and nomi-nal prices in an open (primarily small) economy with free flows of capital. A closed economy calls for a distinction only between nominal and real rates of interest, but in an open economy, questions of interest-rate parity have to be considered as well. It is nec-essary to clarify the factors behind the real interest rate important for price-level pass-through and for the scale of risk premium. Analysis of interest-rate effects begins with the mechanism whereby the interest rate influences the cost of fixed assets (explicit or implicit rents). Secondly, the mechanism behind the relation of export-sector production decisions and domestic interest rates is examined. It emerges that decisions of the export sector are independent of domestic interest rates. Thirdly, certain types of pricing behav-iour are studied. It is shown that a rise in the interest rate that does not alter the present exchange rate is a price-raising factor for the importing country. It can be assumed that if the interest rate has a demand effect in a closed economy, this will presumably be much weaker in a small open economy.

Pricing corporate bonds in Brazil: 2000 to 2004

This paper analyzes the factors that influence the issuing price of debentures in Brazil in the period from year 2000 to 2004, applying a factor model, in which exogenous variables explain return and price behavior. The variables in this study include: rating, choice of index, maturity, country risk, basic interest rate, long-term and short-term rate spread, the stock market index, and the foreign exchange rate. Results indicate that the index variable, probability of default and bond`s maturity influence pricing and points out associations of long-term bonds with better rating issues. (C) 2008 Elsevier Inc. All rights reserved.

Optimal reserve management and sovereign debt

Most models currently used to determine optimal foreign reserve holdings take the level of international debt as given. However, given the sovereign`s willingness-to-pay incentive problems, reserve accumulation may reduce sustainable debt levels. In addition, assuming constant debt levels does not allow addressing one of the puzzles behind using reserves as a means to avoid the negative effects of crisis: why do not sovereign countries reduce their sovereign debt instead? To study the joint decision of holding sovereign debt and reserves, we construct a stochastic dynamic equilibrium model calibrated to a sample of emerging markets. We obtain that the reserve accumulation does not play a quantitatively important role in this model. In fact, we find the optimal policy is not to hold reserves at all. This finding is robust to considering interest rate shocks, sudden stops, contingent reserves and reserve dependent output costs. (c) 2008 Elsevier B.V. All rights reserved.

Forward-looking versus recursive-dynamic modeling in climate policy analysis: A comparison

This paper develops a multi-regional general equilibrium model for climate policy analysis based on the latest version of the MIT Emissions Prediction and Policy Analysis (EPPA) model. We develop two versions so that we can solve the model either as a fully inter-temporal optimization problem (forward-looking, perfect foresight) or recursively. The standard EPPA model on which these models are based is solved recursively, and it is necessary to simplify some aspects of it to make inter-temporal solution possible. The forward-looking capability allows one to better address economic and policy issues such as borrowing and banking of GHG allowances, efficiency implications of environmental tax recycling, endogenous depletion of fossil resources, international capital flows, and optimal emissions abatement paths among others. To evaluate the solution approaches, we benchmark each version to the same macroeconomic path, and then compare the behavior of the two versions under a climate policy that restricts greenhouse gas emissions. We find that the energy sector and CO(2) price behavior are similar in both versions (in the recursive version of the model we force the inter-temporal theoretical efficiency result that abatement through time should be allocated such that the CO(2) price rises at the interest rate.) The main difference that arises is that the macroeconomic costs are substantially lower in the forward-looking version of the model, since it allows consumption shifting as an additional avenue of adjustment to the policy. On the other hand, the simplifications required for solving the model as an optimization problem, such as dropping the full vintaging of the capital stock and fewer explicit technological options, likely have effects on the results. Moreover, inter-temporal optimization with perfect foresight poorly represents the real economy where agents face high levels of uncertainty that likely lead to higher costs than if they knew the future with certainty. We conclude that while the forward-looking model has value for some problems, the recursive model produces similar behavior in the energy sector and provides greater flexibility in the details of the system that can be represented. (C) 2009 Elsevier B.V. All rights reserved.

A Comparison of Bayesian and Sampling Theory Inferences in a Probit Model

HE PROBIT MODEL IS A POPULAR DEVICE for explaining binary choice decisions in econometrics. It has been used to describe choices such as labor force participation, travel mode, home ownership, and type of education. These and many more examples can be found in papers by Amemiya (1981) and Maddala (1983). Given the contribution of economics towards explaining such choices, and given the nature of data that are collected, prior information on the relationship between a choice probability and several explanatory variables frequently exists. Bayesian inference is a convenient vehicle for including such prior information. Given the increasing popularity of Bayesian inference it is useful to ask whether inferences from a probit model are sensitive to a choice between Bayesian and sampling theory techniques. Of interest is the sensitivity of inference on coefficients, probabilities, and elasticities. We consider these issues in a model designed to explain choice between fixed and variable interest rate mortgages. Two Bayesian priors are employed: a uniform prior on the coefficients, designed to be noninformative for the coefficients, and an inequality restricted prior on the signs of the coefficients. We often know, a priori, whether increasing the value of a particular explanatory variable will have a positive or negative effect on a choice probability. This knowledge can be captured by using a prior probability density function (pdf) that is truncated to be positive or negative. Thus, three sets of results are compared:those from maximum likelihood (ML) estimation, those from Bayesian estimation with an unrestricted uniform prior on the coefficients, and those from Bayesian estimation with a uniform prior truncated to accommodate inequality restrictions on the coefficients.

Inércia da taxa de juros : teoria e evidência para a economia brasileira (2005-2013)

No âmbito da condução da política monetária, as funções de reação estimadas em estudos empíricos, tanto para a economia brasileira como para outras economias, têm mostrado uma boa aderência aos dados. Porém, os estudos mostram que o poder explicativo das estimativas aumenta consideravelmente quando se inclui um componente de suavização da taxa de juros, representado pela taxa de juros defasada. Segundo Clarida, et. al. (1998) o coeficiente da taxa de juros defasada (situado ente 0,0 e 1,0) representaria o grau de inércia da política monetária, e quanto maior esse coeficiente, menor e mais lenta é a resposta da taxa de juros ao conjunto de informações relevantes. Por outro lado, a literatura empírica internacional mostra que esse componente assume um peso expressivo nas funções de reação, o que revela que os BCs ajustam o instrumento de modo lento e parcimonioso. No entanto, o caso brasileiro é de particular interesse porque os trabalhos mais recentes têm evidenciado uma elevação no componente inercial, o que sugere que o BCB vem aumentando o grau de suavização da taxa de juros nos últimos anos. Nesse contexto, mais do que estimar uma função de reação forward looking para captar o comportamento global médio do Banco Central do Brasil no período de Janeiro de 2005 a Maio de 2013, o trabalho se propôs a procurar respostas para uma possível relação de causalidade dinâmica entre a trajetória do coeficiente de inércia e as variáveis macroeconômicas relevantes, usando como método a aplicação do filtro de Kalman para extrair a trajetória do coeficiente de inércia e a estimação de um modelo de Vetores Autorregressivos (VAR) que incluirá a trajetória do coeficiente de inércia e as variáveis macroeconômicas relevantes. De modo geral, pelas regressões e pelo filtro de Kalman, os resultados mostraram um coeficiente de inércia extremamente elevado em todo o período analisado, e coeficientes de resposta global muito pequenos, inconsistentes com o que é esperado pela teoria. Pelo método VAR, o resultado de maior interesse foi o de que choques positivos na variável de inércia foram responsáveis por desvios persistentes no hiato do produto e, consequentemente, sobre os desvios de inflação e de expectativas de inflação em relação à meta central.

Perfil dos servidores da Universidade Federal do Espírito Santo com empréstimo consignado

O crédito consignado é uma modalidade de empréstimo cujo valor da parcela incide sobre o salário do devedor. Com alto índice de adesão nos últimos anos, é o meio de acesso ao crédito mais comum entre os servidores públicos, pelas baixas taxas de juros, entre outros atrativos, o que contribui para expor a risco seus vencimentos com dívidas. Buscando atender ao objetivo principal de identificar se características do perfil demográfico dos servidores ativos da Universidade Federal do Espírito Santo (UFES) estão relacionadas ao comprometimento de seus rendimentos com empréstimos consignados, foi realizada uma pesquisa de abordagem quantitativa, utilizando dados cadastrais e financeiros do ano de 2013 destes servidores, obtidos no banco de dados institucional e através da aplicação de questionários, dos quais totalizaram 210 tidos como válidos. Todas as informações foram tratadas por meio de recursos estatísticos, como análise descritiva dos dados, tabelas de contingências com interpretação do valor do qui-quadrado e regressão logística. Os resultados indicam que as variáveis escolaridade, renda, número de dependentes e gênero estão associadas ao comprometimento da renda com empréstimos consignados e que os homens, apesar de aparecerem em maior número entre os que aderem a esse tipo de empréstimo, comprometem menos seus rendimentos com ele, quando comparados às mulheres. Indivíduos do gênero feminino, com menor nível de escolaridade e renda mais baixa foram os mais propensos a adquirirem empréstimos descontados em folha. Por fim, apesar das análises apontarem que apenas a ausência de educação financeira não explica o alto comprometimento da renda com consignado, muitos dos entrevistados afirmaram não dominar o tema e se sentirem despreparados para administrarem suas finanças pessoais. Nesse sentido, o plano de intervenção proposto no objetivo e descrito ao final da pesquisa, sugere que a instituição invista na educação financeira dos servidores; preste apoio psicológico aos sobreendividados e proíba o estímulo ao consumo no ambiente de trabalho.

Os swaps de taxas de juro como instrumentos de cobertura de risco nas demonstrações financeiras

Mestrado em Contabilidade

Os efeitos das variações das taxas de juro na volatilidade dos mercados bolsistas

Mestrado em Controlo de Gestão e dos Negócios

Contratos de Futuros sobre Taxas de Juro

Mestrado em Contabilidade Internacional

Contratos de futuros sobre taxas de juro : estudo de caso sobre a Euribor a 3 meses

Mestrado em Contabilidade e Análise Financeira

Machine learning Vasicek model calibration with Gaussian processes

In this article, we calibrate the Vasicek interest rate model under the risk neutral measure by learning the model parameters using Gaussian processes for machine learning regression. The calibration is done by maximizing the likelihood of zero coupon bond log prices, using mean and covariance functions computed analytically, as well as likelihood derivatives with respect to the parameters. The maximization method used is the conjugate gradients. The only prices needed for calibration are zero coupon bond prices and the parameters are directly obtained in the arbitrage free risk neutral measure.