Thesis (M. Com.(Economics)) -- University of Limpopo, 2017 / The relationship between unemployment, exchange rate and inflation has been a subject of debate for many years. Given the fact that South Africa is faced with a very low economic growth rate, inflation rate which is likely to go beyond the upper band of 6 percent and a high level of unemployment, policy makers are often faced with the trade-off between unemployment and inflation rate in the country. The purpose of this study is to determine the relationship between exchange rate, unemployment and inflation in South Africa. The study employed Johansen cointegration procedures and the vector error correction model (VECM) to capture the relationship between the variables. The Engle-Granger causality test was also employed to analyse causality amongst the variables. The results of Johansen cointegration test indicate that there is a long-run equilibrium relationship between the variables. The VECM also confirmed the existence of short-run equilibrium relationship between the variables. The nature of the relationship indicates that there is a significant negative relationship between unemployment and inflation in South Africa. This implies that policy makers are been faced with the trade-off between these two variables. The results further indicate that inflation is positively related to exchange rate, meaning a depreciation of the Rand (South African currency) in the foreign exchange market will feed to inflation in the home country. Furthermore, it is also indicated that unemployment is positively related to exchange rate. Meaning, a depreciation of the Rand in the foreign exchange market increases the level of unemployment in South Africa. All the results appeared to be significant. Policies aimed at lowering unemployment and inflation rate are recommended. It is also recommended that policy makers in South Africa take measures to improve the quality of education, skills training and steps to increase the labour intensity of production.

Τα πρωτότυπα αποτελέσματα της διατριβής περιέχονται στα κεφ. 2, 3 και 4. Στο κεφ. 2 μελετούμε με αριθμητικές μεθόδους ένα 3-διάστατο διακριτό μοντέλο μακροοικονομίας με σταθερές ισοτιμίες. Χρησιμοποιώντας μια μέθοδο πλέγματος, βρίσκουμε την περιοχή ευστάθειας στον παραμετρικό χώρο, προσδιορίζουμε την καμπύλη διακλαδώσεων Hopf-Neimark και θεωρούμε σύντομα την εμφάνιση “γλωσσών” Arnold. Υπολογίζονται διαγράμματα διακλαδώσεων και εκθέτη Lyapunov που δίνουν πληροφορίες για τους επιχειρηματικούς κύκλους και την πολύπλοκη δυναμική του μοντέλου και. παρουσιάζουμε παραδείγματα κυκλικών και χαοτικών ελκυστών. Στο κεφ. 3 μελετούμε με τις ίδιες μεθόδους ένα διακριτό μοντέλο αλληλεπίδρασης περιοχών με σταθερές ισοτιμίες, επέκταση του προηγούμενου μοντέλου σε 5 διαστάσεις. Στόχος ήταν να δείξουμε πόσο εφικτή και αποτελεσματική είναι μία αριθμητική μελέτη για ηπίως πολυδιάστατα διακριτά δυναμικά συστήματα με πολλές παραμέτρους. Βρήκαμε ότι η κίνηση κεφαλαίων δεν αρκεί για τη δημιουργία κύκλων όταν είναι χαμηλή η εμπορική αλληλεπίδραση. Το κατώφλι εμπορίου προβλέπεται περίπου στο 15% των εμπορικών συναλλαγών. Αντίθετα, το μοντέλο δεν προβλέπει αναγκαίο ελάχιστο επίπεδο κίνησης κεφαλαίων για την εμφάνιση των κύκλων. Δίνουμε παραδείγματα διαγραμμάτων διακλάδωσης και εκθέτη Lyapunov που δείχνουν την εμφάνιση κύκλων ή ακολουθίας διπλασιασμού περιόδου, και παραδείγματα της ανάπτυξής τους. Το κεφ. 4 περιέχει σύντομη περιγραφή συμπληρωματικών αποτελεσμάτων στα παραπάνω μοντέλα, και στα αντίστοιχα μοντέλα μεταβλητής ισοτιμίας συναλλάγματος, καθώς και κατευθύνσεις μελλοντικής έρευνας. Στο κεφ. 5 περιγράφονται σύντομα οι υπολογιστικές τεχνικές που χρησιμοποιήσαμε. Η διατριβή δείχνει την αποτελεσματικότητα της αριθμητικής προσέγγισης για πολυδιάστατα διακριτά μοντέλα. / The original results of the dissertation are contained in ch. 2, 3 and 4, and concern mainly the problem of business cycles. In ch. 2 we explore numerically a 3D discrete Kaldorian macrodynamic model of open economy with fixed exchange rates. Using a grid search method we determine the stability region in parameter space, and the Hopf-Neimark bifurcation curve, and discuss briefly the occurrence of Arnold tongues. Bifurcation and Lyapunov exponent diagrams are computed providing information on the business cycles and illustrating the complex dynamics involved. Examples of cycles and chaotic attractors are presented. In ch. 3 we explore a 5D extension of the previous model using the same methods. The aim was to demonstrate the feasibility and effectiveness of the numerical approach for discrete dynamical systems of moderately high dimensionality and several parameters. We found that capital movement is not sufficient to generate interregional business cycles when trade interaction is low. The trade threshold is predicted at about 15% of trade transactions. By contrast, no minimum level of capital mobility exists as a requirement for the emergence of business cycles. Examples of bifurcation and Lyapunov exponent diagrams illustrating the occurrence of cycles or period doubling, and examples of their development, are given. Ch. 4 contains a short description of complementary results on the above models, and on two other models which extend the previous models to the case of flexible exchange rates, as well as some lines of future research. In ch. 5, the computational techniques employed in the present study are briefly described. The dissertation indicates the effectiveness of the numerical approach for high dimensional discrete models.

This study focuses on foreign direct investment ("FDI") and its importance to the economy of South Africa. Recognising that FDI, notwithstanding the type, can contribute to economic growth and development, most countries including South Africa are constantly working to attract it, and hence its demand has become highly competitive. However, FDI does not go without some negative effects, such as conflicts between host and investor country, and the creation of damaging competition to local firms. These negative effects could be minimised if policies and strategies for the promotion and attraction of FDI is part of, and integrated into, general economic development and economic reform policies, and not seen in isolation. Although South Africa has implemented strategies to attract more FDI, a refinement of some of these policies is needed if the country is to be successful in this regard. / Economics / M. Comm. (Economics)

The main objective of the study was to determine the exchange rate volatility regime for carry trade profitability when using the South African Rand as the target currency. The study used the Logistic Smooth Transition Regression (LSTR) model to test the uncovered interest rate parity (UIP). The Sharpe ratio and the risk adjusted forward premium were used as the transition variables. The transition variable is a function of the transition function, which is used to determine the regime for the UIP. The LSTR model is characterised by three regimes, i.e. the lower regime, the middle regime and the upper regime. The LSTR model was tested for the short-term forward rate maturity of less than one year. The results show that the UIP hypothesis holds in the middle regime for the Rand/USD and the Rand/GBP when using the Sharpe ratio as the transition variable. Meanwhile, the UIP hypothesis does not hold for the Rand/Yen when using the Sharpe ratio as the transition variable for the forward rate maturity of one month, and it does hold for other short-term forward rate maturity of less than one year. The results for the risk adjusted forward premium as the transition variable show that the UIP hypothesis does not hold for all three currencies at various short-term forward rate maturities of less than one year. The research provides the following contributions to new knowledge: (1) Uncovered interest parity hypothesis holds in the middle regime for all periods for the Rand/USD and the Rand/GBP when using the Sharpe ratio as the transition variable with a short-term forward rate maturity of less than one year. (2) Currency carry trade profit taking for the Rand/USD and the Rand/GBP can be achieved in the upper regime. (3) The results for the Rand/Yen are mixed, in that the UIP hypothesis does not hold for other crisis periods as a result of negative Sharpe ratios. However, for the calm periods, UIP hypothesis holds in the middle regime for the Rand/Yen for short-term forward rate maturity of more than one month but less than one year when using the Sharpe ratio as the transition variable. The overall contribution of this study is that for the South African Rand as the target currency, the UIP hypothesis holds for the short-term horizon when using the Sharpe ratio as the transition variable and that this mostly depends more on currency than on horizon. Contrary to other researchers who found that the UIP holds in the long-term maturity with higher Sharpe ratios in the upper regime, this study proved that the UIP holds in the short-term maturity horizon. / Business Management / D.B.L.

Au plus fort de la crise, le régime monétaire international se révèle être impuissantlorsqu’il s’agit de limiter la volatilité excessive des taux de change, l’ampleur desdéséquilibres des balances de paiements courants, le développement d'une spéculationeffrénée sur les marchés des changes et l’asymétrie entre pays en excédent et pays endéficit. Cette thèse, qui a eu le mérite d’ouvrir des pistes nouvelles dans lacompréhension des rapports complexes entre les déséquilibres mondiaux et le régimeactuel, a montré que ces déséquilibres sont intrinsèquement rattachés aux défaillances dela structure monétaire internationale. Pour interrompre cette dynamique qui détériore lesdéséquilibres mondiaux, nous proposons que le régime tende vers un système centraliséavec la création d’une monnaie internationale et d’une chambre de compensation. Cettethèse, qui réactualise le plan Keynes, inclut également des dispositions statutaires visant àajuster automatiquement les dettes extérieures aux capacités de paiement des pays. Bienque cette réforme soit une avancée, cette réflexion n’occulte pas les progrès qu’il reste àfaire pour résorber les déséquilibres extérieurs. Pour améliorer l’efficacité et la pérennitédu système des paiements internationaux, il est utile de renforcer la coopération desbanques centrales, notamment dans un contexte marqué par les crises d’endettementextérieur. Dans ce sens, cette thèse montre les opportunités qu’offre la constitution dezones monétaires régionales intégrées dans une union monétaire internationale / At the height of the crisis, the international monetary system is powerless to reduce theinstability of exchange rates, the imbalance of the current account of balance ofpayments, instability of exchange rates and the development of speculation in financialmarkets the and the asymmetry between net exporters countries and net deficits countries.This thesis, which had the merit of opening new tracks in order to understand thecomplex relationships between global imbalances and the actual system, showed thatthese global imbalances are intrinsically linked to the failures of the internationalmonetary structure. To stop the deterioration of global imbalances, we propose that thesystem turns towards an international system payment with the creation of aninternational currency and a clearing house. This thesis, which reactualizes the KeynesPlan, also includes statutory dispositions for automatically adjusting the external debt tothe capacities payment of countries. Although this reform is a step forward, we don’t hidethe progress that can be done to reduce external imbalances. To increase the efficiencyand sustainability of the international payments system, it is useful to boost thecooperation between central banks, particularly in a context marked by the external debtcrises. In this sense, this thesis shows the opportunities which offered the creation ofregional monetary zones which are integrated in a monetary union international

This thesis analyses impact of exchange rate exposure in Czech Republic on sample of ten Czech companies. Empirical part of thesis builds on Nazl, Kar, Akel (2014) and through market-based approach states significant impact of exchange rate exposure for 40 % of companies. Higher robustness of results was achieved through improvements in the methodology which, contrary to related literature, eliminates endogeneity of market index through instrumental variable. Surprisingly, the correlations between exchange rates and stocks of Czech companies are positive. An alternative model considering ROA of individual companies as dependent variable was used to confirm these results. The resulting impact of exchange rate exposure of alternative model is opposite. This inconsistency of the results of both models is confusing. The sudden change in exchange rate policy of the Czech National Bank in November 2013 did not affect the sensitivity of the relationship between exchange rates and stocks. The reaction of stock market in November 2013 indicates that policy change made by CNB was not entirely expected. Contrary to the related literature, higher data aggregation decreases the significance of the exchange rate exposure, signifying higher ability of Czech companies to reduce exchange rate risk in longer...

This study investigated the determinants of inflation in South Africa using quarterly data from 1970Q1 to 2015Q4. The study was motivated by recent trends in domestic inflation that has frequently been at the upper end of the target range of between 3% and 6% and the need to guide inflation related policy since 2008. These recent trends raised concerns regarding the effectiveness of the current monetary policy approach in responding to internal and external factors that are significant in determining domestic inflation. Using Error Correction Model (ECM) modelling techniques, empirical results revealed that inflation expectations, labour costs, government expenditure and import prices are positive determinants, while GDP and exchange rates are negative determinants of inflation. To achieve the macroeconomic policy objective of a stable and low inflation rate for South Africa, more emphasis should be placed on anchoring inflation expectations, which was found to be highly significant in determining inflation. / Economics / M. Com. (Economics)

The main objective of the study was to determine the exchange rate volatility regime for carry trade profitability when using the South African Rand as the target currency. The study used the Logistic Smooth Transition Regression (LSTR) model to test the uncovered interest rate parity (UIP). The Sharpe ratio and the risk adjusted forward premium were used as the transition variables. The transition variable is a function of the transition function, which is used to determine the regime for the UIP. The LSTR model is characterised by three regimes, i.e. the lower regime, the middle regime and the upper regime. The LSTR model was tested for the short-term forward rate maturity of less than one year. The results show that the UIP hypothesis holds in the middle regime for the Rand/USD and the Rand/GBP when using the Sharpe ratio as the transition variable. Meanwhile, the UIP hypothesis does not hold for the Rand/Yen when using the Sharpe ratio as the transition variable for the forward rate maturity of one month, and it does hold for other short-term forward rate maturity of less than one year. The results for the risk adjusted forward premium as the transition variable show that the UIP hypothesis does not hold for all three currencies at various short-term forward rate maturities of less than one year. The research provides the following contributions to new knowledge: (1) Uncovered interest parity hypothesis holds in the middle regime for all periods for the Rand/USD and the Rand/GBP when using the Sharpe ratio as the transition variable with a short-term forward rate maturity of less than one year. (2) Currency carry trade profit taking for the Rand/USD and the Rand/GBP can be achieved in the upper regime. (3) The results for the Rand/Yen are mixed, in that the UIP hypothesis does not hold for other crisis periods as a result of negative Sharpe ratios. However, for the calm periods, UIP hypothesis holds in the middle regime for the Rand/Yen for short-term forward rate maturity of more than one month but less than one year when using the Sharpe ratio as the transition variable. The overall contribution of this study is that for the South African Rand as the target currency, the UIP hypothesis holds for the short-term horizon when using the Sharpe ratio as the transition variable and that this mostly depends more on currency than on horizon. Contrary to other researchers who found that the UIP holds in the long-term maturity with higher Sharpe ratios in the upper regime, this study proved that the UIP holds in the short-term maturity horizon. / Business Management / D.B.L.

This thesis analyzes market risk factors in commodity and currency markets. It focuses on the impact of extreme events on the prices of financial products traded in these markets, and on the overall market risk faced by the investors. The first chapter develops a simple two-factor jump-diffusion model for valuation of contingent claims on commodities in order to investigate the pricing implications of shocks that are exogenous to this market. The second chapter analyzes the nature and pricing implications of the abrupt changes in exchange rates, as well as the ability of these changes to explain the shapes of option-implied volatility "smiles". Finally, the third chapter employs the notion that key results of the univariate extreme value theory can be applied separately to the principal components of ARMA-GARCH residuals of a multivariate return series. The proposed approach yields more precise Value at Risk forecasts than conventional multivariate methods, while maintaining the same efficiency. / El objetivo de esta tesis es analizar los factores del riesgo del mercado de las materias primas y las divisas. Está centrada en el impacto de los eventos extremos tanto en los precios de los productos financieros como en el riesgo total de mercado al cual se enfrentan los inversores. En el primer capítulo se introduce un modelo simple de difusión y saltos (jump-diffusion) con dos factores para la valuación de activos contingentes sobre las materias primas, con el objetivo de investigar las implicaciones de shocks en los precios que son exógenos a este mercado. En el segundo capítulo se analiza la naturaleza e implicaciones para la valuación de los saltos en los tipos de cambio, así como la capacidad de éstos para explicar las formas de sonrisa en la volatilidad implicada. Por último, en el tercer capítulo se utiliza la idea de que los resultados principales de la Teoria de Valores Extremos univariada se pueden aplicar por separado a los componentes principales de los residuos de un modelo ARMA-GARCH de series multivariadas de retorno. El enfoque propuesto produce pronósticos de Value at Risk más precisos que los convencionales métodos multivariados, manteniendo la misma eficiencia.

Financial processes may possess long memory and their probability densities may display heavy tails. Many models have been developed to deal with this tail behaviour, which reflects the jumps in the sample paths. On the other hand, the presence of long memory, which contradicts the efficient market hypothesis, is still an issue for further debates. These difficulties present challenges with the problems of memory detection and modelling the co-presence of long memory and heavy tails. This PhD project aims to respond to these challenges. The first part aims to detect memory in a large number of financial time series on stock prices and exchange rates using their scaling properties. Since financial time series often exhibit stochastic trends, a common form of nonstationarity, strong trends in the data can lead to false detection of memory. We will take advantage of a technique known as multifractal detrended fluctuation analysis (MF-DFA) that can systematically eliminate trends of different orders. This method is based on the identification of scaling of the q-th-order moments and is a generalisation of the standard detrended fluctuation analysis (DFA) which uses only the second moment; that is, q = 2. We also consider the rescaled range R/S analysis and the periodogram method to detect memory in financial time series and compare their results with the MF-DFA. An interesting finding is that short memory is detected for stock prices of the American Stock Exchange (AMEX) and long memory is found present in the time series of two exchange rates, namely the French franc and the Deutsche mark. Electricity price series of the five states of Australia are also found to possess long memory. For these electricity price series, heavy tails are also pronounced in their probability densities. The second part of the thesis develops models to represent short-memory and longmemory financial processes as detected in Part I. These models take the form of continuous-time AR(∞) -type equations whose kernel is the Laplace transform of a finite Borel measure. By imposing appropriate conditions on this measure, short memory or long memory in the dynamics of the solution will result. A specific form of the models, which has a good MA(∞) -type representation, is presented for the short memory case. Parameter estimation of this type of models is performed via least squares, and the models are applied to the stock prices in the AMEX, which have been established in Part I to possess short memory. By selecting the kernel in the continuous-time AR(∞) -type equations to have the form of Riemann-Liouville fractional derivative, we obtain a fractional stochastic differential equation driven by Brownian motion. This type of equations is used to represent financial processes with long memory, whose dynamics is described by the fractional derivative in the equation. These models are estimated via quasi-likelihood, namely via a continuoustime version of the Gauss-Whittle method. The models are applied to the exchange rates and the electricity prices of Part I with the aim of confirming their possible long-range dependence established by MF-DFA. The third part of the thesis provides an application of the results established in Parts I and II to characterise and classify financial markets. We will pay attention to the New York Stock Exchange (NYSE), the American Stock Exchange (AMEX), the NASDAQ Stock Exchange (NASDAQ) and the Toronto Stock Exchange (TSX). The parameters from MF-DFA and those of the short-memory AR(∞) -type models will be employed in this classification. We propose the Fisher discriminant algorithm to find a classifier in the two and three-dimensional spaces of data sets and then provide cross-validation to verify discriminant accuracies. This classification is useful for understanding and predicting the behaviour of different processes within the same market. The fourth part of the thesis investigates the heavy-tailed behaviour of financial processes which may also possess long memory. We consider fractional stochastic differential equations driven by stable noise to model financial processes such as electricity prices. The long memory of electricity prices is represented by a fractional derivative, while the stable noise input models their non-Gaussianity via the tails of their probability density. A method using the empirical densities and MF-DFA will be provided to estimate all the parameters of the model and simulate sample paths of the equation. The method is then applied to analyse daily spot prices for five states of Australia. Comparison with the results obtained from the R/S analysis, periodogram method and MF-DFA are provided. The results from fractional SDEs agree with those from MF-DFA, which are based on multifractal scaling, while those from the periodograms, which are based on the second order, seem to underestimate the long memory dynamics of the process. This highlights the need and usefulness of fractal methods in modelling non-Gaussian financial processes with long memory.