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.

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.

Speculative attacks, openness and crises

In this paper we propose a dynamic stochastic general equilibrium model to evaluate financial adjustments that some emerging market economies went through to overcome external crises during the latest decades, such as default and local currency devaluation. We assume that real devaluation can be used to avoid external debt default, to improve trade balance and to reduce the real public debt level denominated in local currency. Such effects increase the government ability to deal with external crisis, but also have costs in terms of welfare, related to expected inflation, reductions in private investments and higher interest to be paid over the public debt. We conclude that openness improves expected welfare as it allows for a better devaluation-response technology against crises. We also present results for 32 middle-income countries, verifying that the proposed model can indicate, in a stylized way, the preferences for default-devaluation options and the magnitude of the currency depreciation required to overcome 48 external crises occurred as from 1971. Finally, as we construct our model based on the Cole-Kehoe self-fulfilling debt crisis model ([7]), adding local debt and trade, it is important to say that their policy alternatives to leave the crisis zone remains in our extended model, namely, to reduce the external debt level and to lengthen its maturity.

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.

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.

Are real options a real option for real-world finance professionals? case study : the application of real options to evaluate investment projects in the latin american oil and gas field services industry

Brasil e outros mercados emergentes continuarão a apresentar muitas oportunidades de investimento nos próximos anos. Profissionais financeiros que gerenciam os processos de orçamento de capital nas empresas terão grandes desafios a enfrentar. Características específicas destes projetos como preços ligados a commodities (por exemplo: petróleo e gás e projetos agrícolas) e as incertezas habituais relacionadas com os mercados emergentes são desafios adicionais. Neste cenário, ferramentas mais sofisticadas de orçamento de capital como Opções Reais, oferece uma teoria mais robusta para lidar com incerteza, flexibilidade gerencial, e os resultados voláteis embutidas nestas oportunidades. A teoria de Opções Reais assume que o envolvimento dos gestores nos projetos gera valor à medida que potencializam os bons resultados ou reduzem as perdas por abandonar projetos com maus resultados. O objetivo principal desta pesquisa foi aplicar a análise de Opções Reais para um projeto de investimento e discutir o processo e os resultados da metodologia. O estudo de caso analisa retroativamente um projeto de investimento na Colômbia e compara os resultados sob o tradicional VPL e Opções Reais. As técnicas de avaliação foram realizadas como se estivessem sendo aplicadas no momento em que o projeto foi aprovado, e depois comparadas com o desempenho real do projeto. O estudo de caso avaliado possui dois tipos de Opções Reais: primeiro, o efeito de uma opção para cancelar um contrato que é analisado a partir da perspectiva do cliente que pode exercer essa opção, e o segundo, a opção de abandonar e adiar a partir da perspectiva da empresa que irá executar a investimento.

The effect of options on coordination

This paper studies how constraints on the timing of actions affect equilibrium in intertemporal coordination problems. The model exhibits a unique symmetric equilibrium in cut-o¤ strategies. The risk-dominant action of the underlying one-shot game is selected when the option to delay effort is commensurate with the option to wait longer for others' actions. The possibility of waiting longer for the actions of others enhances coordination, but the option of delaying one s actions can induce severe coordination failures: if agents are very patient, they might get arbitrarily low expected payoffs even in cases where coordination would yield arbitrarily large returns.

Global governance, currency and trade: implications of one on the other, common problems and how to address cooperation through law at the international level

How to deal with the impacts of the exchange rate on the trade balance of Brazil? There is not a single answer to such question. In order to find out some legal approaches for this matter, this paper aims to describe and analyze the role of the IMF, WTO and the governments of Brazil and the United States on the currency misalignments, especially the extraterritorial effects of such misalignment on the Brazil’s bilateral trade with the United States. The article concludes that the Currency Swap Agreements and other bilateral solutions may minimize the distortions that the Brazilian balance of payment against the USA is carrying, due to the lack of legal solutions for the problem of the exchange rate misalignments that Brazil is facing.

Exchange rate misalignments, interdependence, crises, and currency wars: an empirical assessment

Este trabalho tem por objetivo comparar metodologias distintas para cálculo de desalinhamento cambial além de testar a hipótese se as taxas de câmbio dos diversos países sofrem influencia apenas dos seus próprios fundamentos ou também da taxa de câmbio e dos fundamentos de outros países. Estas hipóteses consistem, respectivamente, na ausência ou na existência de interdependência entre os diversos países. Para realizar tal tarefa utilizam-se duas estratégias empíricas. A primeira baseia-se em avaliar se um modelo multivariado de séries de tempo usualmente utilizada na literatura de desalinhamento cambial com dados apenas do próprio país em análise pode ser melhorado através da adição de variáveis relacionadas a outros países usando o algoritmo proposto por David Hendry e co-autores. A segunda estratégia consiste em estimar um panel longo com as variáveis utilizadas para estimar desalinhamento cambial e testar formalmente a hipótese de ausência de interdependências. Os resultados sugerem que em ambas estratégias existe evidência de existência de interdependência. Esta ocorreria mais por conta de fatores ligados ao curto prazo, ou seja, o que explicaria o valor da taxa de câmbio de um país no longo prazo seriam seus próprios fundamentos enquanto no curto prazo fatores externos poderiam causar desvios

Time-dependent or state-dependent pricing? : evidence from a large currency devaluation episode

Duas classes de modelos buscam explicar o padrão de ajustamento de preço das firmas: modelos tempo-dependente e estado-dependente. O objetivo deste trabalho é levantar algumas evidencias empíricas de modo a distinguir os modelos, ou seja, identificar de que maneira as firmas realmente precificam. Para isso, escolheu-se a grande desvalorização cambial de 1999 como principal ferramenta e ambiente de análise. A hipótese fundamental é que o choque cambial impacta significativamente o custo de algumas indústrias, em alguns casos induzindo-as a alterarem seus preço após o choque. A partir de uma imensa base de micro dados formada por preços que compõem o CPI, algumas estimações importantes como a probabilidade e a magnitude média das trocas foram levantadas. A magnitude é dada por uma média simples, enquanto a probabilidade é estimada pelo método da máxima verossimilhança. Os resultados indicam um comportamento de precificação similar ao proposto por modelos estado-dependente.

An empirical comparison of forward-rate and spot-rate models for valuing interest-rate options

Our main goal is to investigate the question of which interest-rate options valuation models are better suited to support the management of interest-rate risk. We use the German market to test seven spot-rate and forward-rate models with one and two factors for interest-rate warrants for the period from 1990 to 1993. We identify a one-factor forward-rate model and two spot-rate models with two faetors that are not significant1y outperformed by any of the other four models. Further rankings are possible if additional cri teria are applied.

Hedging options in a garch environment: testing the term structure of stochastic volatility models

This paper develops a methodology for testing the term structure of volatility forecasts derived from stochastic volatility models, and implements it to analyze models of S&P500 index volatility. U sing measurements of the ability of volatility models to hedge and value term structure dependent option positions, we fmd that hedging tests support the Black-Scholes delta and gamma hedges, but not the simple vega hedge when there is no model of the term structure of volatility. With various models, it is difficult to improve on a simple gamma hedge assuming constant volatility. Ofthe volatility models, the GARCH components estimate of term structure is preferred. Valuation tests indicate that all the models contain term structure information not incorporated in market prices.

Capital flows and monetary control under a domestic currency substitution regime: the recent Brazilian experience

The 90s have witnessed a resumption in capital flows to Latin America. due to the conjugation of low interest rates in the US and economic reforms in most LA countries. In Brazil. however. substantial capital flows have becn induced by the extremely high domestic interest rates practiced by the Central Bank as a measure of last reson given the absence of successful stabilization policies. These very high interest rates were needed to prevent capital flight in a context of a surprisingly stable inflation rate above 20% a month. and keep interest bearing govemment securities preferable to foreign assets as money substitutes. We carefully describe how this domestic currency substitution regime (interest bearing govemment securities are substituted for MIas cash holdings) requires the Central Bank to renounce aoy control over monerary aggregates. In this domestic currency substitution regime. hyperinflation is the most likely outcome of an isolated (i.e.. without fiscal adjusanents) attempt by the Brazilian Central Bank to control money.