Risk, seasonality and the asymmetric behaviour of stock returns

For some time there has been a puzzle surrounding the seasonal behaviour of stock returns. This paper demonstrates that there is an asymmetric relationship between systematic risk and return across the different months of the year for both large and small firms. In the case of both large and small firms systematic risk appears to be priced in only two months of the year, January and April. During the other months no persistent relationship between systematic risk and return appears to exist. The paper also shows that when systematic risk is priced, the size of the systematic risk premium is higher for large firms than for small firms and varies significantly across the months of the year.

Kockázattal kiegészített Taylor-szabályok becslése Magyarországra = Estimation of risk-augmented Taylor rules for Hungary

Cikkünkben a magyar monetáris politikát vizsgáljuk olyan szempontból, hogy kamatdöntései meghozatalakor figyelembe vette-e az országkockázatot, és ha igen, hogyan. A kérdés megválaszolásához a monetáris politika elemzésének leggyakoribb eszközét használjuk: az ország monetáris politikáját leíró Taylor-szabályokat becslünk. A becslést több kockázati mérőszámmal is elvégeztük több, különféle Taylor-szabályt használva. Az érzékenységvizsgálatban az inflációhoz és a kibocsátási réshez is alkalmaztunk más, az alapspecifikációban szereplőtől eltérő mérőszámokat. Eredményeink szerint a Magyar Nemzeti Bank kamatdöntései jól leírhatók egy rugalmas, inflációs célkövető rezsimmel: a Taylor-szabályban szignifikáns szerepe van az inflációs céltól való eltérésének és - a szabályok egy része esetén - a kibocsátási résnek. Emellett a döntéshozók figyelembe vették az országkockázatot is, annak növekedésére a kamat emelésével válaszoltak. Az országkockázat Taylor-szabályba történő beillesztése a megfelelő kockázati mérőszám kiválasztása esetén jelentős mértékben képes javítani a Taylor-szabály illeszkedését. _____ The paper investigates the degree to which Hungarian monetary policy has considered country risk in its decisions and if so, how. The answer was sought through the commonest method of analysing a countrys monetary policy: Taylor rules for describing it. The estimation of the rule was prepared using several risk indicators and applying various types of Taylor rules. As a sensitivity analysis, other indicators of inflation and output gap were employed than in the base rule. This showed that the interest-rate decisions of the National Bank of Hungary can be well described by a flexible inflation targeting regime: in the Taylor rules, deviation of inflation from its target has a significant role and the output gap is also significant in one part of the rules. The decision-makers also considered country risk and responded to an increase in it by raising interest rates. Insertion of country risk into the Taylor rule could improve the models fit to an important degree when choosing an appropriate risk measure.

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.

A study of stock market linkages between the US and frontier countries

My dissertation investigates the financial linkages and transmission of economic shocks between the US and the smallest emerging markets (frontier markets). The first chapter sets up an empirical model that examines the impact of US market returns and conditional volatility on the returns and conditional volatilities of twenty-one frontier markets. The model is estimated via maximum likelihood; utilizes the GARCH model of errors, and is applied to daily country data from the MSCI Barra. We find limited, but statistically significant exposure of Frontier markets to shocks from the US. Our results suggest that it is not the lagged US market returns that have impact; rather it is the expected US market returns that influence frontier market returns The second chapter sets up an empirical time-varying parameter (TVP) model to explore the time-variation in the impact of mean US returns on mean Frontier market returns. The model utilizes the Kalman filter algorithm as well as the GARCH model of errors and is applied to daily country data from the MSCI Barra. The TVP model detects statistically significant time-variation in the impact of US returns and low, but statistically and quantitatively important impact of US market conditional volatility. The third chapter studies the risk-return relationship in twenty Frontier country stock markets by setting up an international version of the intertemporal capital asset pricing model. The systematic risk in this model comes from covariance of Frontier market stock index returns with world returns. Both the systematic risk and risk premium are time-varying in our model. We also incorporate own country variances as additional determinants of Frontier country returns. Our results suggest statistically significant impact of both world and own country risk in explaining Frontier country returns. Time-variation in the world risk premium is also found to be statistically significant for most Frontier market returns. However, own country risk is found to be quantitatively more important.

Essays on Exchange Rate Economics

Exchange rate economics has achieved substantial development in the past few decades. Despite extensive research, a large number of unresolved problems remain in the exchange rate debate. This dissertation studied three puzzling issues aiming to improve our understanding of exchange rate behavior. Chapter Two used advanced econometric techniques to model and forecast exchange rate dynamics. Chapter Three and Chapter Four studied issues related to exchange rates using the theory of New Open Economy Macroeconomics. Chapter Two empirically examined the short-run forecastability of nominal exchange rates. It analyzed important empirical regularities in daily exchange rates. Through a series of hypothesis tests, a best-fitting fractionally integrated GARCH model with skewed student-t error distribution was identified. The forecasting performance of the model was compared with that of a random walk model. Results supported the contention that nominal exchange rates seem to be unpredictable over the short run in the sense that the best-fitting model cannot beat the random walk model in forecasting exchange rate movements. Chapter Three assessed the ability of dynamic general-equilibrium sticky-price monetary models to generate volatile foreign exchange risk premia. It developed a tractable two-country model where agents face a cash-in-advance constraint and set prices to the local market; the exogenous money supply process exhibits time-varying volatility. The model yielded approximate closed form solutions for risk premia and real exchange rates. Numerical results provided quantitative evidence that volatile risk premia can endogenously arise in a new open economy macroeconomic model. Thus, the model had potential to rationalize the Uncovered Interest Parity Puzzle. Chapter Four sought to resolve the consumption-real exchange rate anomaly, which refers to the inability of most international macro models to generate negative cross-correlations between real exchange rates and relative consumption across two countries as observed in the data. While maintaining the assumption of complete asset markets, this chapter introduced endogenously segmented asset markets into a dynamic sticky-price monetary model. Simulation results showed that such a model could replicate the stylized fact that real exchange rates tend to move in an opposite direction with respect to relative consumption.

Risk premiumin the global creditMarkets: 2006-2012

¿What have we learnt from the 2006-2012 crisis, including events such as the subprime crisis, the bankruptcy of Lehman Brothers or the European sovereign debt crisis, among others? It is usually assumed that in firms that have a CDS quotation, this CDS is the key factor in establishing the credit premiumrisk for a new financial asset. Thus, the CDS is a key element for any investor in taking relative value opportunities across a firm’s capital structure. In the first chapter we study the most relevant aspects of the microstructure of the CDS market in terms of pricing, to have a clear idea of how this market works. We consider that such an analysis is a necessary point for establishing a solid base for the rest of the chapters in order to carry out the different empirical studies we perform. In its document “Basel III: A global regulatory framework for more resilient banks and banking systems”, Basel sets the requirement of a capital charge for credit valuation adjustment (CVA) risk in the trading book and its methodology for the computation for the capital requirement. This regulatory requirement has added extra pressure for in-depth knowledge of the CDS market and this motivates the analysis performed in this thesis. The problem arises in estimating of the credit risk premium for those counterparties without a directly quoted CDS in the market. How can we estimate the credit spread for an issuer without CDS? In addition to this, given the high volatility period in the credit market in the last few years and, in particular, after the default of Lehman Brothers on 15 September 2008, we observe the presence of big outliers in the distribution of credit spread in the different combinations of rating, industry and region. After an exhaustive analysis of the results from the different models studied, we have reached the following conclusions. It is clear that hierarchical regression models fit the data much better than those of non-hierarchical regression. Furthermore,we generally prefer the median model (50%-quantile regression) to the mean model (standard OLS regression) due to its robustness when assigning the price to a new credit asset without spread,minimizing the “inversion problem”. Finally, an additional fundamental reason to prefer the median model is the typical "right skewness" distribution of CDS spreads...

Implicit discount rates and fisheries management : is there a relationship?

Fishers are faced with multiple risks, including unpredictability of future catch rates, prices and costs. While the latter are largely beyond the control of fisheries managers, effective fisheries management should reduce uncertainty about future catches. Different management instruments are likely to have different impacts on the risk perception of fishers, and this should manifest itself in their implicit discount rate. Assuming licence and quota values represent the net present value of the flow of expected future profits, then a proxy for the implicit discount rate of vessels in a fishery can be derived by the ratio of the average level of profits to the average licence/quota value. From this, an indication of the risk perception can be derived, assuming higher discount rates reflect higher levels of systematic risk. In this paper, we apply the capital asset pricing model (CAPM) to determine the risk premium implicit in the discount rates for a range of Australian fisheries, and compare this with the set of management instruments in place. We test the assumption that rights based management instruments lower perceptions of risk in fisheries. We find little evidence to support this assumption. although the analysis was based on only limited data.

Forecasting volatility and correlation : the role of option implied measures

Forecasts of volatility and correlation are important inputs into many practical financial problems. Broadly speaking, there are two ways of generating forecasts of these variables. Firstly, time-series models apply a statistical weighting scheme to historical measurements of the variable of interest. The alternative methodology extracts forecasts from the market traded value of option contracts. An efficient options market should be able to produce superior forecasts as it utilises a larger information set of not only historical information but also the market equilibrium expectation of options market participants. While much research has been conducted into the relative merits of these approaches, this thesis extends the literature along several lines through three empirical studies. Firstly, it is demonstrated that there exist statistically significant benefits to taking the volatility risk premium into account for the implied volatility for the purposes of univariate volatility forecasting. Secondly, high-frequency option implied measures are shown to lead to superior forecasts of the intraday stochastic component of intraday volatility and that these then lead on to superior forecasts of intraday total volatility. Finally, the use of realised and option implied measures of equicorrelation are shown to dominate measures based on daily returns.

Estimating the parameters of stochastic volatility models using option price data

This article describes a maximum likelihood method for estimating the parameters of the standard square-root stochastic volatility model and a variant of the model that includes jumps in equity prices. The model is fitted to data on the S&P 500 Index and the prices of vanilla options written on the index, for the period 1990 to 2011. The method is able to estimate both the parameters of the physical measure (associated with the index) and the parameters of the risk-neutral measure (associated with the options), including the volatility and jump risk premia. The estimation is implemented using a particle filter whose efficacy is demonstrated under simulation. The computational load of this estimation method, which previously has been prohibitive, is managed by the effective use of parallel computing using graphics processing units (GPUs). The empirical results indicate that the parameters of the models are reliably estimated and consistent with values reported in previous work. In particular, both the volatility risk premium and the jump risk premium are found to be significant.

Construcción de índices simplificados de riesgo país: Aproximación a los casos de Europa y América

[ES] Partiendo de los valores semestrales de cada una de las nueve variables que componen el índice de riesgo país elaborado por Euromoney, en el periodo comprendido entre septiembre de 1992 y septiembre de 2002, para 41 países europeos y 30 países americanos, los autores proponen la construcción de dos nuevos índices de riesgo país, a los que han denominado «Índice Simplificado» e «Índice Observacional». La característica de ambos índices es que, además de contener únicamente cuatro variables (de las nueve propuestas por el índice de riesgo país de Euromoney), permiten replicar, con un elevado índice de fiabiabilidad el ranking de países (dado en función de su riesgo país) proporcionado por el índice del cual se derivan.

¿Reflejan los índices de riesgo país las variables relevantes en el desencadenamiento de las crisis externas? Un análisis sobre el periodo 1994-2001

[ES] El objetivo de este trabajo es establecer en qué medida los índices de riesgo país más utilizados por la comunidad económica y financiera internacional, en concreto, el índice de Euromoney y el ICRG, recogen las variables relevantes en el desencadenamiento de las crisis monetarias y financieras externas, como un aspecto básico en la evaluación de su capacidad para medir adecuadamente el riesgo de los diferentes países.

Balance de la política fiscal desarrollada en España en época de crisis. ¿Por qué elegir el camino contractivo?

The use of a contractive fiscal policy in times of crisis and austerity can lead to so many different opinion streams which can be, at the same time, very opposite with each other. The high budget deficit in some economies has forced the eurozone to implement austerity policies, meaning that the debate is now more alive than ever. Therefore, the aim of this paper is to analyze the effects of the implementation of a contractive policy during a crisis considering the case of Spain. The positive effects in financial markets were noticed due to the decrease of the risk premium and the payment of interests, and also thanks to the increase of trust towards Spain. This way, the reduction of the Spanish deficit was remarkable but in any case there is still a long path until reaching the limit of 3% of the GDP. Also, in the short run it is possible to see that the consolidation had contractive effects in the economic activity but, in the long run, the debate is among the defenders of the fact that austerity is followed by a growing period and the ones opposing to it due to the drowning effect produced by it.

Elements of Decision under Uncertainty with Applications

This work presents the basic elements for the analysis of decision under uncertainty: Expected Utility Theory and its citicisms and risk aversion and its measurement. The concepts of certainty equivalent, risk premium, absolute risk aversion and relative risk aversion, and the "more risk averse than" relation are discussed. The work is completed with several applications of decision making under uncertainty to different economic problems: investment in risky assets and portfolio selection, risk sharing, investment to reduce risk, insurance, taxes and income underreporting, deposit insurance and the value of information.

Sovereign rescheduling probabilities in emerging markets: a comparison with credit rating agencies' ratings

This study estimates default probabilities of 124 emerging countries from 1981 to 2002 as a function of a set of macroeconomic and political variables. The estimated probabilities are then compared with the default rates implied by sovereign credit ratings of three major international credit rating agencies (CRAs) – Moody's Investor's Service, Standard & Poor's and Fitch Ratings. Sovereign debt default probabilities are used by investors in pricing sovereign bonds and loans as well as in determining country risk exposure. The study finds that CRAs usually underestimate the risk of sovereign debt as the sovereign credit ratings from rating agencies are usually too optimistic.

Bank Failures of the 1990s::An Exploratory Analysis

Past research has frequently attributed the incidence of bank failures to macroeconomic cycles and/or downturns in the regional economy. More recent analyses have suggested that the incidence and severity of bank failures can be linked to governance failures, which may be preventable through more stringent disclosure and auditing requirements. Using data on bank failures during the years 1991 to 1997, for the US, Canada, the UK and Germany, this study examines the relationship between institutional characteristics of national legal and auditing systems and the incidence of bank failures. In the second part of our analysis we then examined the relationship between the same institutional variables and the severity of bank failures.
The first part of our study notes a significant correlation between the law and order tradition (‘rule of law’) of a national legal system and the incidence of bank failures. Nations which were assigned high 'rule of law’ scores by country risk guides appear to have been less likely to experience bank failures. Another variable which appears to impact on bank failure rates is the ‘risk of contract repudiation’. Countries with a greater ‘risk of contract repudiation’ appear to be more likely to experience bank failures. We suggest that this may be due to a greater ex ante protection of stakeholders in countries where contract enforcement is more stringent.
The results of the second part of our study are less clear cut. However, there appears to be a significant correlation between the amount paid out by national deposit insurers (our proxy for the severity of bank failures) and the macroeconomic variable 'GDP change'. Here our findings follow the conventional wisdom; with greater amounts of deposit insurance funds being paid during economic downturns (i.e. low or negative GDP 'growth' correlates with high amounts of deposit insurance being paid out). A less pronounced relationship with the severity of bank failures can also be established for the institutional variables ' accounting standards' as well as 'risk of contract repudiation'. Countries with more stringent ‘accounting standards’ and a low ‘risk of contract repudiation’ appear to have been less prone to severe bank failures.