The main objective of this diploma thesis is to find out the potential of digital currencies to replace contemporary fiat currency. Specifically, the thesis is focused on cryptocurrency Bitcoin, which currently has the highest market value. The thesis is divided into three main chapters. The first one focuses on money itself and its function, not only today but also throughout the history. Second chapter explains substance and functioning of Bitcoin, as well as its role in the current monetary system. Likewise the question of regulatory measures and competition of altcoins is being examined. Final part analyses the future of digital currencies and it compares pros and cons of Bitcoin and money we use today. Furthermore, it is discussed whether Bitcoin is the next bubble in the financial market. In the end, main problems which Bitcoin and other cryptocurrencies deal with are mentioned and a possible future development is outlined.

With respect to foreign currency exchange markets, most governments would favour a stable exchange rate over a volatile exchange rate. This is also true for South Africa where volatile movements in the South African Rand pose challenges to industries, businesses and Government alike. There are a multitude of factors that affect the volatility of the South African Rand. These factors are difficult to identify, manage individually and measure. There are several tools that are available to manipulate and control foreign exchange rates in an attempt to reduce volatility; one such tool is the currency transaction tax. Spahn tax is one such form of currency transaction tax. The precursor to Spahn tax is Tobin tax. As a result of many criticisms levelled against Tobin tax, Spahn expanded on this original idea and made a few modifications to address some of the concerns. Spahn focused on creating a two-tier tax base where transactions falling within a normal and reasonable trading range would be taxed at a nominal amount and transactions that fall outside of the band would be taxed at a higher punitive rate. The trading band, or range, would be adjustable though market dynamics on a daily basis using a moving average. No country has implemented Spahn tax yet. The implementation of such a tax would have strong revenue-generating potential. A modification of such a tax with only a punitive rate and a wide trading band could be considered for South Africa. However, in being prudent South Africa does not appear to be in a position to be the first country to implement Spahn tax. There are too many market risks associated with the introduction Spahn tax that cannot be ignored. / Dissertation (MCom)--University of Pretoria, 2012. / Taxation / unrestricted

This thesis studies currency premia and their connections with macroeconomics. In the first essay, I link currency premia to capital-output ratios and the well-known “Lucas Paradox”. The “Lucas Paradox” states that there are large and persistent differences in capital-output ratios across countries, suggesting capital is not flowing to countries where it is relatively scarce. In the data, capital-output ratios vary a lot cross-sectionally even within developed countries, and they are negatively correlated with currency risk premia and risk-free rates. To rationalize these patterns, I build a quantitative multi-country model of capital accumulation with external habit and heterogeneous exposures to a global productivity shock. I show that currency risk in this model generates cross-country variations in risk-free rates and capital-output ratios that are consistent with the data. I estimate the model using GDP data from countries issuing the G10 currencies and find two main results: (1) The heterogenous loadings that I extract from GDP data alone are highly correlated with capital-output ratios; and (2) when I feed the estimated loadings into the model, model-generated capital-output ratios account for roughly 55% of the cross-country variation in the data. I conclude that variation in currency risk and therefore currency risk premia have significant effects on the real economy. In the second essay, I identify a quantitative puzzle when using canonical consumption-based asset pricing models to match currency premia under complete markets. Canonical long-run risk and habit models induce a strong, negative correlation between the variance and the mean of the log stochastic discount factor to address the well-known equity premium puzzle. When applied to an open economy with complete markets, this key feature requires that differences in currency returns should arise primarily from predictable appreciations, a requirement that is at odds with the data. We term this tension between a high equity premium, smooth risk-free rates, and largely unpredictable exchange rates the currency premium puzzle and argue it is the underlying reason why existing international asset pricing models have struggled to simultaneously match data on currency returns, equity returns, and risk-free rates. In the third essay, I show that perturbation methods lead to significant computational errors when used to solve international risk-sharing models with Epstein and Zin (1989) preferences. In particular, if countries feature different sizes, the simulating results violate law of iterated expectations. Even under symmetric setups, the errors along a typical simulation path are non-negligible. I conclude that perturbation-based solutions of EZ risk-sharing models should be used with caution.

This dissertation focuses on the proper understanding of digital currencies, its impact on a country’s economy, and how to design and regulate digital currencies. First, we review the current literature on digital currency and discuss the shortcomings of existing research. Second, we focus on the development of monetary forms, digital monetary forms, and the attribution of minting power. Third, we discuss the issue of the attribution of monetary issuance power, taking into account three major factors, that is the laws of historical evolution, the political and ideological demands of the state, and the ability to perform monetary functions (the core of which is the stability of currency values). Furthermore, we conduct an empirical analysis on the impact of Central bank digital currency (CBDC) on the money policy in China. We find that the use of digital money leads to higher inflation, but the effect is not significant. Finally, we discuss the design frameworks and regulatory ideas of digital currency. On this basis, we propose a reference framework for Central bank digital currency (CBDC) design in China, identify the risks of private digital currencies, and put forward corresponding regulatory recommendations. / Business Administration/Finance

The theory of optimum currency areas states that the more two countries trade with each other, the better candidates they are for a currency union. In terms of the endogeneity argument, convergence follows from joining a currency union and the integration process itself turns the countries into optimal currency areas. The potential increase in trade is regarded as one of the most important benefits of a currency union. Indirect evidence from studies on the effect of exchange rate volatility on trade does not support this claim. Rose argues that the common currency effect on trade is separate from the effect of the elimination of exchange rate variability and finds a large positive effect of a currency union on trade. Although his methodology has met with criticism, most studies find a positive estimate. A meta-analysis of the studies confirms that a common currency has a statistically and economically significant trade-creating effect. / Economics / M.Com. (Economics)

This thesis develops efficient modeling frameworks via a Partial Differential Equation (PDE) approach for multi-factor financial derivatives, with emphasis on three-factor models, and studies highly efficient implementations of the numerical methods on novel high-performance computer architectures, with particular focus on Graphics Processing Units (GPUs) and multi-GPU platforms/clusters of GPUs. Two important classes of multi-factor financial instruments are considered: cross-currency/foreign exchange (FX) interest rate derivatives and multi-asset options. For cross-currency interest rate derivatives, the focus of the thesis is on Power Reverse Dual Currency (PRDC) swaps with three of the most popular exotic features, namely Bermudan cancelability, knockout, and FX Target Redemption. The modeling of PRDC swaps using one-factor Gaussian models for the domestic and foreign interest short rates, and a one-factor skew model for the spot FX rate results in a time-dependent parabolic PDE in three space dimensions. Our proposed PDE pricing framework is based on partitioning the pricing problem into several independent pricing subproblems over each time period of the swap's tenor structure, with possible communication at the end of the time period. Each of these subproblems requires a solution of the model PDE. We then develop a highly efficient GPU-based parallelization of the Alternating Direction Implicit (ADI) timestepping methods for solving the model PDE. To further handle the substantially increased computational requirements due to the exotic features, we extend the pricing procedures to multi-GPU platforms/clusters of GPUs to solve each of these independent subproblems on a separate GPU. Numerical results indicate that the proposed GPU-based parallel numerical methods are highly efficient and provide significant increase in performance over CPU-based methods when pricing PRDC swaps. An analysis of the impact of the FX volatility skew on the price of PRDC swaps is provided. In the second part of the thesis, we develop efficient pricing algorithms for multi-asset options under the Black-Scholes-Merton framework, with strong emphasis on multi-asset American options. Our proposed pricing approach is built upon a combination of (i) a discrete penalty approach for the linear complementarity problem arising due to the free boundary and (ii) a GPU-based parallel ADI Approximate Factorization technique for the solution of the linear algebraic system arising from each penalty iteration. A timestep size selector implemented efficiently on GPUs is used to further increase the efficiency of the methods. We demonstrate the efficiency and accuracy of the proposed GPU-based parallel numerical methods by pricing American options written on three assets.

Valiutų kursų rizikos valdymo modelis. / Management of Currency Exchange Risk.

This thesis develops efficient modeling frameworks via a Partial Differential Equation (PDE) approach for multi-factor financial derivatives, with emphasis on three-factor models, and studies highly efficient implementations of the numerical methods on novel high-performance computer architectures, with particular focus on Graphics Processing Units (GPUs) and multi-GPU platforms/clusters of GPUs. Two important classes of multi-factor financial instruments are considered: cross-currency/foreign exchange (FX) interest rate derivatives and multi-asset options. For cross-currency interest rate derivatives, the focus of the thesis is on Power Reverse Dual Currency (PRDC) swaps with three of the most popular exotic features, namely Bermudan cancelability, knockout, and FX Target Redemption. The modeling of PRDC swaps using one-factor Gaussian models for the domestic and foreign interest short rates, and a one-factor skew model for the spot FX rate results in a time-dependent parabolic PDE in three space dimensions. Our proposed PDE pricing framework is based on partitioning the pricing problem into several independent pricing subproblems over each time period of the swap's tenor structure, with possible communication at the end of the time period. Each of these subproblems requires a solution of the model PDE. We then develop a highly efficient GPU-based parallelization of the Alternating Direction Implicit (ADI) timestepping methods for solving the model PDE. To further handle the substantially increased computational requirements due to the exotic features, we extend the pricing procedures to multi-GPU platforms/clusters of GPUs to solve each of these independent subproblems on a separate GPU. Numerical results indicate that the proposed GPU-based parallel numerical methods are highly efficient and provide significant increase in performance over CPU-based methods when pricing PRDC swaps. An analysis of the impact of the FX volatility skew on the price of PRDC swaps is provided. In the second part of the thesis, we develop efficient pricing algorithms for multi-asset options under the Black-Scholes-Merton framework, with strong emphasis on multi-asset American options. Our proposed pricing approach is built upon a combination of (i) a discrete penalty approach for the linear complementarity problem arising due to the free boundary and (ii) a GPU-based parallel ADI Approximate Factorization technique for the solution of the linear algebraic system arising from each penalty iteration. A timestep size selector implemented efficiently on GPUs is used to further increase the efficiency of the methods. We demonstrate the efficiency and accuracy of the proposed GPU-based parallel numerical methods by pricing American options written on three assets.

The theory of optimum currency areas states that the more two countries trade with each other, the better candidates they are for a currency union. In terms of the endogeneity argument, convergence follows from joining a currency union and the integration process itself turns the countries into optimal currency areas. The potential increase in trade is regarded as one of the most important benefits of a currency union. Indirect evidence from studies on the effect of exchange rate volatility on trade does not support this claim. Rose argues that the common currency effect on trade is separate from the effect of the elimination of exchange rate variability and finds a large positive effect of a currency union on trade. Although his methodology has met with criticism, most studies find a positive estimate. A meta-analysis of the studies confirms that a common currency has a statistically and economically significant trade-creating effect. / Economics / M.Com. (Economics)

Thesis "Foreign exchange exposure and currency risk" deals with managing foreign currency exposure and foreign exchange risks when doing business in The Czech Republic. It defines foreign exchange risk, different types of foreign exchange exposures and the possibility of its ensuring, as well as internal and external methods of reducing foreign exchange exposure and foreign exchange risk. The practical part is devoted to a particular solution, respectively to the management of foreign exchange exposure and foreign currency risk in ABC, s.r.o. company.