Pricing and hedging short sterling options using artificial neural networks

This paper compares the performance of artificial neural networks (ANNs) with that of the modified Black model in both pricing and hedging Short Sterling options. Using high frequency data, standard and hybrid ANNs are trained to generate option prices. The hybrid ANN is significantly superior to both the modified Black model and the standard ANN in pricing call and put options. Hedge ratios for hedging Short Sterling options positions using Short Sterling futures are produced using the standard and hybrid ANN pricing models, the modified Black model, and also standard and hybrid ANNs trained directly on the hedge ratios. The performance of hedge ratios from ANNs directly trained on actual hedge ratios is significantly superior to those based on a pricing model, and to the modified Black model.

The (de)merits of minimum-variance hedging: application to the crack spread

We study the empirical performance of the classical minimum-variance hedging strategy, comparing several econometric models for estimating hedge ratios of crude oil, gasoline and heating oil crack spreads. Given the great variability and large jumps in both spot and futures prices, considerable care is required when processing the relevant data and accounting for the costs of maintaining and re-balancing the hedge position. We find that the variance reduction produced by all models is statistically and economically indistinguishable from the one-for-one “naïve” hedge. However, minimum-variance hedging models, especially those based on GARCH, generate much greater margin and transaction costs than the naïve hedge. Therefore we encourage hedgers to use a naïve hedging strategy on the crack spread bundles now offered by the exchange; this strategy is the cheapest and easiest to implement. Our conclusion contradicts the majority of the existing literature, which favours the implementation of GARCH-based hedging strategies.

Agricultural commodity markets : reference point for the real value of a currency

Using monthly time-series data 1999-2013, the paper shows that markets for agricultural commodities provide a yardstick for real purchasing power, and thus a reference point for the real value of fiat currencies. The daily need for each adult to consume about 2800 food calories is universal; data from FAO food balance sheets confirm that the world basket of food consumed daily is non-volatile in comparison to the volatility of currency exchange rates, and so the replacement cost of food consumed provides a consistent indicator of economic value. Food commodities are storable for short periods, but ultimately perishable, and this exerts continual pressure for markets to clear in the short term; moreover, food calories can be obtained from a very large range of foodstuffs, and so most households are able to use arbitrage to select a near optimal weighting of quantities purchased. The paper proposes an original method to enable a standard of value to be established, definable in physical units on the basis of actual worldwide consumption of food goods, with an illustration of the method.

Hedge cambial aumenta o valor de mercado das firmas? evidências do caso brasileiro

Esse trabalho examinou a prática de hedge cambial em uma amostra de 33 empresas abertas do setor de materiais básicos da BOVESPA durante os anos de 2001 a 2006 e seu impacto potencial no valor de mercado destas. Usando uma proxy do Q de Tobin como medida de valor de mercado, encontrou-se uma relação negativa e significante entre o valor das empresas e seus níveis de exposição cambial (os dados sugerem que uma redução de 10% da medida de exposição, por exemplo, estaria relacionado a uma ganho em torno de 3,5% do valor das mesmas). Adicionalmente, observou-se que, em média, as companhias com exposição cambial que optaram por se proteger apresentaram um crescimento do valor 7% superior às situações de descasamento. Sendo que o estudo das alterações das práticas de hedge dessas empresas sugere que o emprego de uma política regular de proteção das exposições (e não a prática 'isolada' destas) é recompensado pelo mercado com acréscimos do valor.

Speculative attacks on debts and optimum currency area: a welfare analysis

Traditionally the issue of an optimum currency area is based on the theoretical underpinnings developed in the 1960s by McKinnon [13], Kenen [12] and mainly Mundell [14], who is concerned with the benefits of lowering transaction costs vis-à- vis adjustments to asymmetrical shocks. Recently, this theme has been reappraised with new aspects included in the analysis, such as: incomplete markets, credibility of monetary policy and seigniorage, among others. For instance, Neumeyer [15] develops a general equilibrium model with incomplete asset markets and shows that a monetary union is desirable when the welfare gains of eliminating the exchange rate volatility are greater than the cost of reducing the number of currencies to hedge against risks. In this paper, we also resort to a general equilibrium model to evaluate financial aspects of an optimum currency area. Our focus is to appraise the welfare of a country heavily dependent on foreign capital that may suffer a speculative attack on its public debt. The welfare analysis uses as reference the self-fulfilling debt crisis model of Cole and Kehoe ([6], [7] and [8]), which is employed here to represent dollarization. Under this regime, the national government has no control over its monetary policy, the total public debt is denominated in dollars and it is in the hands of international bankers. To describe a country that is a member of a currency union, we modify the original Cole-Kehoe model by including public debt denominated in common currency, only purchased by national consumers. According to this rule, the member countries regain some influence over the monetary policy decision, which is, however, dependent on majority voting. We show that for specific levels of dollar debt, to create inflation tax on common-currency debt in order to avoid an external default is more desirable than to suspend its payment, which is the only choice available for a dollarized economy when foreign creditors decide not to renew their loans.

Common currency and economic integration in Mercosur

A América Latina tem uma longa história de tentativas de alcançar uma integração regional, embora seu sucesso tenha sido modesto. Este trabalho procura mostrar que isso essencialmente ocorre não tanto pelas práticas protecionistas nos vários países, mas devido à falta de uma moeda comum, ou, pelo menos, de uma taxa de câmbio rigorosamente administrada. Os autores analisaram o critério da área ótima de moeda que mostra ser prudente aumentar a integração econômica antes de tentar implementar a coordenação das taxas de câmbio. Entretanto, nós mostramos que no Mercosul já existem as condições mínimas para começar a trabalhar nessa direção. A diminuição da instabilidade cambial pode encorajar a entrada de investimentos e o comércio nas economias latino-americanas. Os autores também desenvolveram um exercício simplificado para entender como poderia ser viável alcançar estabilidade da taxa de câmbio em nos dois maiores países da região (Brasil e Argentina) e avançar na adoção de uma moeda comum.

Efeitos da utilização de hedges cambiais nos resultados de empresas não financeiras: uma abordagem empírica

A realização de negócios em um mundo globalizado implica em aumentar a exposição das empresas não-financeiras a diversos riscos de origem financeira como câmbio, commodities e taxas de juros e que, dependendo da evolução destas variáveis macroeconômicas, podem afetar significativamente os resultados destas empresas. Existem diversas teorias acadêmicas que abordam sobre os benefícios gerados por programas de gestão de riscos em empresas não-financeiras como redução dos custos de financial distress e custos de agência bem como o uso de estratégias de hedge para fins fiscais. Tais iniciativas contribuiriam, em última instância, para a criação de valor para o negócio e poderiam garantir uma melhor previsibilidade dos fluxos de caixa futuros, tornando as empresas menos vulneráveis a condições adversas de mercado. Este trabalho apresenta dois estudos de caso com empresas não-financeiras brasileiras que possuíam exposições em moeda estrangeira e que não foram identificadas operações com derivativos cambiais durante o período de 1999 a 2005 que foi caracterizado pela alta volatilidade da taxa de câmbio. Através de modelos de simulação, algumas estratégias com o uso de derivativos foram propostas para as exposições cambiais identificadas para cada empresa com o objetivo de avaliar os efeitos da utilização destes derivativos cambiais sobre os resultados das empresas no que se refere à agregação de valor para o negócio e redução de volatilidade dos fluxos de caixa esperados. O trabalho não visa recomendar estratégias de hedge para determinada situação de mercado mas apenas demonstra, de forma empírica, quais os resultados seriam obtidos caso certas estratégias fossem adotadas, sabendo-se que inúmeras outras poderiam ser criadas para a mesma situação de mercado. Os resultados sugerem alguns insights sobre a utilização de derivativos por empresas não-financeiras sendo um tema relativamente novo para empresas brasileiras.

Essays in corporate risk management

This research investigates the factors that lead Latin American non-financial firms to manage risks using derivatives. The main focus is on currency risk management. With this purpose, this thesis is divided into an introduction and two main chapters, which have been written as stand-alone papers. The first paper describes the results of a survey on derivatives usage and risk management responded by the CFOs of 74 Brazilian non-financial firms listed at the São Paulo Stock Exchange (BOVESPA), and the main evidence found is: i) larger firms are more likely to use financial derivatives; ii) foreign exchange risk is the most managed with derivatives; iii) Brazilian managers are more concerned with legal and institutional aspects in using derivatives, such as the taxation and accounting treatment of these instruments, than with issues related to implementing and maintaining a risk management program using derivatives. The second paper studies the determinants of risk management with derivatives in four Latin American countries (Argentina, Brazil, Chile and Mexico). I investigate not only the decision of whether to use financial derivatives or not, but also the magnitude of risk management, measured by the notional value of outstanding derivatives contracts. This is the first study, to the best of my knowledge, to use derivatives holdings information in emerging markets. The use of a multi-country setting allows the analysis of institutional and economic factors, such as foreign currency indebtedness, the high volatility of exchange rates, the instability of political and institutional framework and the development of financial markets, which are issues of second-order importance in developed markets. The main contribution of the second paper is on the understanding of the relationship among currency derivatives usage, foreign debt and the sensitivity of operational earnings to currency fluctuations in Latin American countries. Unlikely previous findings for US firms, my evidence shows that derivatives held by Latin American firms are capable of producing cash flows comparable to financial expenses and investments, showing that derivatives are key instruments in their risk management strategies. It is also the first work to show strong and robust evidence that firms that benefit from local currency devaluation (e.g. exporters) have a natural currency hedge for foreign debt that allows them to bear higher levels of debt in foreign currency. This implies that firms under this revenue-cost structure require lower levels of hedging with derivatives. The findings also provide evidence that large firms are more likely to use derivatives, but the magnitude of derivatives holdings seems to be unrelated to the size of the firm, consistent with findings for US firms.

Dynamic hedging in Markov regimes

This dissertation proposes a bivariate markov switching dynamic conditional correlation model for estimating the optimal hedge ratio between spot and futures contracts. It considers the cointegration between series and allows to capture the leverage efect in return equation. The model is applied using daily data of future and spot prices of Bovespa Index and R$/US$ exchange rate. The results in terms of variance reduction and utility show that the bivariate markov switching model outperforms the strategies based ordinary least squares and error correction models.

Hedging de opções com ativos : base cujos preços seguem processos de difusão com salto

Na presente dissertação foi implementado um modelo para execução de hedging de mínima variância de opções de compra européias em mercados incompletos, considerando um espaço de tempo discreto e contínuo de estados. O desempenho foi medido de forma comparativa tomando como base a popular estratégia delta-hedging em um grande número de simulações, a partir de cenários definidos com o objetivo de submeter o modelo a diversas situações. A trajetória do preço do ativo objeto foi representada por um processo de difusão com saltos, composto por duas parcelas: (i) um processo de Wiener, cuja principal característica é ser uma função contínua e diferenciável em todos os pontos, e (ii) por um processo de Poisson, responsável por inserir descontinuidades na trajetória.

Speculative attacks on debts, dollarization and optimum currency areas

The purpose of this article is to contribute to the discussion of the financial aspects of dollarization and optimum currency areas. Based on the model of self-fulfilling debt crisis developed by Cole and Kehoe [4], it is possible to evaluate the comparative welfare of economies, which either keep their local currency and an independent monetary policy, join a monetary union or adopt dollarization. In the two former monetary regimes, governments can issue debt denominated, respectively, in local and common currencies, which is completely purchased by national consumers. Given this ability, governments may decide to impose an inflation tax on these assets and use the revenues so collected to avoid an external debt crises. While the country that issues its own currency takes this decision independently, a country belonging to a monetary union depends on the joint decision of all member countries about the common monetary policy. In this way, an external debt crises may be avoided under the local and common currency regimes, if, respectively, the national and the union central banks have the ability to do monetary policy, represented by the reduction in the real return on the bonds denominated in these currencies. This resource is not available under dollarization. In a dollarized economy, the loss of control over national monetary policy does not allow adjustments for exogenous shocks that asymmetrically affect the client and the anchor countries, but credibility is strengthened. On the other hand, given the ability to inflate the local currency, the central bank may be subject to the political influence of a government not so strongly concerned with fiscal discipline, which reduces the welfare of the economy. In a similar fashion, under a common currency regime, the union central bank may also be under the influence of a group of countries to inflate the common currency, even though they do not face external restrictions. Therefore, the local and common currencies could be viewed as a way to provide welfare enhancing bankruptcy, if it is not abused. With these peculiarities of monetary regimes in mind, we simulate the levels of economic welfare for each, employing recent data for the Brazilian economy.

Modelos dinâmicos de hedging: um estudo sobre a volatilidade

Nesta dissertação estudamos diferentes modelos de hedging para uma opção plain vanilla comprada do tipo europeu. Este estudo nos leva a uma análise onde a volatilidade é uma variável de extrema importância em todos os modelos abordados. De natureza incerta e muitas vezes incompreensível, a volatilidade é uma peça fundamental pelo sucesso ou fracasso de muitos agentes financeiros. Os modelos em que trabalhamos o hedging da opção comprada são: o modelo Black& Scholes (1976) e o moldelo de Hoggard-Whaley-Wilmott (1994). A opção analisada é referente ao ativo base Itaú PN. Trabalhamos com uma série histórica do retorno dos preços de fechamento deste ativo de 02/01/1998 até 30/05/2011 de onde extraímos os parâmetros de volatilidade utilizados para as simulações do ativo base, gerando diferentes regimes de mercado. Por fim, realizamos o hedging com diferentes freqüências de ajustes e diferentes volatilidades de hedging com os modelos mencionados acima.

Estimating Relative Risk Aversion, Risk-Neutral and Real-World Densities using Brazilian Real Currency Options

Building Risk-Neutral Densities (RND) from options data can provide market-implied expectations about the future behavior of a financial variable. And market expectations on financial variables may influence macroeconomic policy decisions. It can be useful also for corporate and financial institutions decision making. This paper uses the Liu et all (2007) approach to estimate the option-implied Risk-neutral densities from the Brazilian Real/US Dollar exchange rate distribution. We then compare the RND with actual exchange rates, on a monthly basis, in order to estimate the relative risk-aversion of investors and also obtain a Real-world density for the exchange rate. We are the first to calculate relative risk-aversion and the option-implied Real World Density for an emerging market currency. Our empirical application uses a sample of Brazilian Real/US Dollar options traded at BM&F-Bovespa from 1999 to 2011. The RND is estimated using a Mixture of Two Log-Normals distribution and then the real-world density is obtained by means of the Liu et al. (2007) parametric risktransformations. The relative risk aversion is calculated for the full sample. Our estimated value of the relative risk aversion parameter is around 2.7, which is in line with other articles that have estimated this parameter for the Brazilian Economy, such as Araújo (2005) and Issler and Piqueira (2000). Our out-of-sample evaluation results showed that the RND has some ability to forecast the Brazilian Real exchange rate. Abe et all (2007) found also mixed results in the out-of-sample analysis of the RND forecast ability for exchange rate options. However, when we incorporate the risk aversion into RND in order to obtain a Real-world density, the out-of-sample performance improves substantially, with satisfactory results in both Kolmogorov and Berkowitz tests. Therefore, we would suggest not using the “pure” RND, but rather taking into account risk aversion in order to forecast the Brazilian Real exchange rate.