Bid-ask spread dynamics in foreign exchange markets

The aim of this paper is to examine the short term dynamics of foreign exchange rate spreads. Using a vector autoregressive model (VAR) we show that most of the variation in the spread comes from the long run dependencies between past and future spreads rather than being caused by changes in inventory, adverse selection, cost of carry or order processing costs. We apply the Integrated Cumulative Sum of Squares (ICSS) algorithm of Inclan and Tiao (1994) to discover how often spread volatility changes. We find that spread volatility shifts are relatively uncommon and shifts in one currency spread tend not to spillover to other currency spreads.     

Default and bankruptcy in an entrepreneurial economy with incomplete markets

We build a general equilibrium model with incomplete markets, production, default, and bankruptcy. The existence of equilibrium is proved. Theoretically, under appropriate conditions, we show that the reduced-form entrepreneurial equilibrium and profit-maximization entrepreneurial equilibrium, as defined by Magill and Quinzii (1996), are equivalent. In addition, we find an inverse relationship between the economy real interest rate and the probability of default. This result is empirically tested by applying the Cox proportional hazards model with time-dependent covariates for a sample of sole proprietorships’ unsecured credit operations in the Brazilian economy. The estimates confirm the findings from the theoretical model.     

A multinomial logit approach to exchange rate policy classification with an application to growth

We model a country's de jure exchange rate policy as the choice from a multinomial logit response conditioned on the volatility of its bilateral exchange rate, the volatility of its international reserves, and the volatility of its effective exchange rate. The category with the highest predictive probability implied by the logit regressions serves as our de facto exchange rate policy. An empirical investigation into the relationship between the de facto classifications and GDP growth finds that growth is higher under stable currency-value policies. For non-industrialized countries, a more nuanced characterization of exchange rate policy finds that those who exhibit ‘fear of floating’ experience significantly higher growth.     

European exchange rate volatility dynamics: an empirical investigation

The hourly and daily dummy variables in the conditional variance functions of the two European currencies, the British pound and the euro are estimated. The conditional variance functions are specified as GARCH models to capture the time-dependent conditional heteroskedasticty at both the hourly and daily recorded data. The estimated dummy variables give remarkably similar and distinct characteristics of the volatility dynamics embodied in the two currencies. Some discussion of the possible sources of the observed volatility dynamics in the two currencies is provided. A comparison between GARCH, FIGARCH and SV models is also provided. The estimated hourly and daily dummy variables suggests that euro is considerably more volatile when compared to British pound, a result with important implications for the economic policy making in the two regions.     

Maximum likelihood estimation of deposit insurance value with interest rate risk

This paper develops a maximum likelihood estimation method for the deposit insurance pricing model of Duan, Moreau and Sealey (DMS) [J. Banking Financ. 19 (1995) 1091.]. A sample of 10 US banks is used to illustrate the estimation method. Our results are then compared to those obtained with the modified Ronn–Verma method used in DMS. Our findings reveal that the maximum likelihood method yields estimates for the deposit insurance value much larger than the ones based on the modified Ronn–Verma method. We conduct a Monte Carlo study to ascertain the performance of the maximum likelihood estimation method. The simulation results are clearly in favor of our proposed method.     

Optimal monetary policy in an economy with incomplete markets and idiosyncratic risk

This study investigates an incomplete markets economy in which the saving behavior of a continuum of infinitely lived agents is influenced by precautionary saving motives and borrowing constraints. Agents can use two types of assets (interest bearing IOUS and money) to smooth consumption. Money is valued because of a timing friction in the bond market. In particular, the bond market closes before agents observe their idiosyncratic productivity shock. I find that the Friedman rule is not optimal for this economy. The results indicate that the optimal allocation has a rate of inflation of 10%, and a positive amount of private credit held by the government. A positive inflation rate transfers resources from agents with big endowments to those holding bonds which improves risk sharing, and therefore, welfare. However, for higher rates of inflation, agents economize on money holdings, offsetting the insurance effects, and causing a reduction in welfare. Furthermore, higher rates of inflation discourage agents from borrowing, and the endogenous lower bound on bond holdings is higher than the exogenous borrowing limit. High rates of inflation, therefore, exacerbate frictions in the bond market.     

On the effectiveness of exchange rate interventions in emerging markets

We analyze the effectiveness of exchange rate interventions for a panel of 18 emerging market economies during the period 2003–2011. Using an error-correction model approach, we find that on average, intervention is effective in moving the real exchange rate in the desired direction, controlling for deviations from the equilibrium and short-term changes in fundamentals and global financial variables. Our results are robust to different samples and estimation methods. We find little evidence of asymmetries in the effect of sales and purchases, but some evidence of more effective interventions for large deviations from the equilibrium. We also explore differences across countries according to the possible transmission channels and nature of some global shocks.     

Robust effects of a debt-financed tax cut in an economy with incomplete markets

International Tax and Public Finance - We propose a two-period pure-exchange economy with spot and nominal security markets and a government that enacts a debt-financed tax cut in the first period...     

Model averaging in risk management with an application to futures markets

This paper considers the problem of model uncertainty in the case of multi-asset volatility models and discusses the use of model averaging techniques as a way of dealing with the risk of inadvertently using false models in portfolio management. Evaluation of volatility models is then considered and a simple Value-at-Risk (VaR) diagnostic test is proposed for individual as well as ‘average’ models. The asymptotic as well as the exact finite-sample distribution of the test statistic, dealing with the possibility of parameter uncertainty, are established. The model averaging idea and the VaR diagnostic tests are illustrated by an application to portfolios of daily returns on six currencies, four equity indices, four ten year government bonds and four commodities over the period 1991–2007. The empirical evidence supports the use of ‘thick’ model averaging strategies over single models or Bayesian type model averaging procedures.     

Erratum to: Utility maximization in incomplete markets with random endowment

K. Larsen, M. Soner and G. ?itkovi? kindly pointed out to us an error in our paper (Cvitani? et al. in Finance Stoch. 5:259–272, 2001) which appeared in 2001 in this journal. They also provide an explicit counterexample in Larsen et al. (https://arxiv.org/abs/1702.02087, 2017).In Theorem 3.1 of Cvitani? et al. (Finance Stoch. 5:259–272, 2001), it was incorrectly claimed (among several other correct assertions) that the value function \(u(x)\) is continuously differentiable. The erroneous argument for this assertion is contained in Remark 4.2 of Cvitani? et al. (Finance Stoch. 5:259–272, 2001), where it was claimed that the dual value function \(v(y)\) is strictly concave. As the functions \(u\) and \(v\) are mutually conjugate, the continuous differentiability of \(u\) is equivalent to the strict convexity of \(v\). By the same token, in Remark 4.3 of Cvitani? et al. (Finance Stoch. 5:259–272, 2001), the assertion on the uniqueness of the element \(\hat{y}\) in the supergradient of \(u(x)\) is also incorrect.Similarly, the assertion in Theorem 3.1(ii) that \(\hat{y}\) and \(x\) are related via \(\hat{y}=u'(x)\) is incorrect. It should be replaced by the relation \(x=-v'(\hat{y})\) or, equivalently, by requiring that \(\hat{y}\) is in the supergradient of \(u(x)\).To the best of our knowledge, all the other statements in Cvitani? et al. (Finance Stoch. 5:259–272, 2001) are correct.As we believe that the counterexample in Larsen et al. (https://arxiv.org/abs/1702.02087, 2017) is beautiful and instructive in its own right, we take the opportunity to present it in some detail.     

Consumption-portfolio optimization with recursive utility in incomplete markets

In an incomplete market, we study the optimal consumption-portfolio decision of an investor with recursive preferences of Epstein?CZin type. Applying a classical dynamic programming approach, we formulate the associated Hamilton?CJacobi?CBellman equation and provide a suitable verification theorem. The proof of this verification theorem is complicated by the fact that the Epstein?CZin aggregator is non-Lipschitz, so standard verification results (e.g. in Duffie and Epstein, Econometrica 60, 393?C394, 1992) are not applicable. We provide new explicit solutions to the Bellman equation with Epstein?CZin preferences in an incomplete market for non-unit elasticity of intertemporal substitution (EIS) and apply our verification result to prove that they solve the consumption-investment problem. We also compare our exact solutions to the Campbell?CShiller approximation and assess its accuracy.     

Joint dynamics of foreign exchange and stock markets in emerging Europe

This paper proposes an ideal specification for studying joint dynamics of emerging stock and foreign exchange markets, and applies it on European emerging markets where this interaction is of particular significance due to large external deficits. Results show that global developed and emerging stock market returns account for a large proportion of the (permanent) comovement between the stock index and currency value. The residual interaction after controlling for global indexes is small. The sign of the currency-stock market relationship is driven by dependence on foreign capital (predominantly positive for countries which are net receivers of foreign portfolio capital) and depth of the local stock market. Bank of Russia's intensive involvement in the currency market delays Ruble's response to global information. Emerging European currencies predict reversals in global equity indexes several months ahead.     

Taxes, transfers and employment in an incomplete markets model

The consequences of increases in the scale of tax and transfer programs are assessed in the context of a model with idiosyncratic productivity shocks and incomplete markets. The effects are contrasted with those obtained in a stand-in household model featuring no idiosyncratic shocks and complete markets. The main finding is that the impact on hours remains very large, but the welfare consequences are very different. The analysis also suggests that tax and transfer policies have large effects on average labor productivity via selection effects on employment.     

Measuring tail thickness under GARCH and an application to extreme exchange rate changes

Accurate modeling of extreme price changes is vital to financial risk management. We examine the small sample properties of adaptive tail index estimators under the class of student-t marginal distribution functions including generalized autoregressive conditional heteroskedastic (GARCH) models and propose a model-based bias-corrected estimation approach. Our simulation results indicate that bias relates to the underlying model and may be positively as well as negatively signed. The empirical study of daily exchange rate changes reveals substantial differences in measured tail thickness due to small sample bias. Thus, high quantile estimation may lead to a substantial underestimation of tail risk.     

Incomplete markets and incentives to set up an options exchange

Traditional analyses with incomplete markets take the securities that are traded as exogenous. In this paper we endogenize the market structure by considering incentives to introduce (costly) options exchanges which issue derivative securities. The method of financing the exchange is critical in determining whether the market structure is socially efficient. If the exchange can charge fees to all agents and make every agent's participation a necessary condition for establishing the exchange then the market structure chosen in equilibrium is efficient. However, if either of these conditions is not satisfied then an inefficient market structure may be chosen.We would like to thank the editor, Herakles Polemarchakis, and an anonymous referee for helpful comments and suggestions. Financial support from the NSF (Grant nos. SES-8813719 and SES-8720589 for the two authors respectively) is gratefully acknowledged.     

International portfolio flows and exchange rate volatility in emerging Asian markets

This paper investigates the effects of equity and bond portfolio inflows on exchange rate volatility using monthly bilateral data for the US vis-a-vis seven Asian developing and emerging countries (India, Indonesia, Pakistan, the Philippines, South Korea, Taiwan and Thailand) over the period 1993:01–2015:11. GARCH models and Markov switching specifications with time-varying transition probabilities are estimated in addition to a benchmark linear model. The evidence suggests that high (low) exchange rate volatility is associated with equity (bond) inflows from the Asian countries toward the US in all cases, with the exception of the Philippines. Therefore, capital controls could be an effective tool to stabilise the foreign exchange market in countries where flows affect exchange rate volatility.     

Empirical estimation of tail dependence using copulas: application to Asian markets

This paper introduces non-parametric estimators for upper and lower tail dependence whose confidence intervals are obtained with a bootstrap method. We call these estimators ‘naïve estimators’ as they represent a discretization of Joe's formulae linking copulas to tail dependence. We apply the methodology to an empirical data set composed of three composite indexes for the three Tigers (Thailand, Malaysia and Indonesia). The extremes show a dependence structure which is symmetric for the Thai and Malaysian markets and asymmetric for the Thai and Indonesian markets and for the Malaysian and the Indonesian markets. Using these results we estimate the copula (which belongs to the Student or Archimedean copula families) for each pair of markets by two methods. Finally, we provide risk measurements using the best copula associated with each pair of markets.     

An example of a stochastic equilibrium with incomplete markets

We prove existence and uniqueness of stochastic equilibria in a class of incomplete continuous-time financial environments where the market participants are exponential utility maximizers with heterogeneous risk-aversion coefficients and general Markovian random endowments. The incompleteness featured in our setting—the source of which can be thought of as a credit event or a catastrophe—is genuine in the sense that not only the prices, but also the family of replicable claims itself are determined as a part of the equilibrium. Consequently, equilibrium allocations are not necessarily Pareto optimal and the related representative-agent techniques cannot be used. Instead, we follow a novel route based on new stability results for a class of semilinear partial differential equations related to the Hamilton–Jacobi–Bellman equation for the agents’ utility maximization problems. This approach leads to a reformulation of the problem where the Banach fixed-point theorem can be used not only to show existence and uniqueness, but also to provide a simple and efficient numerical procedure for its computation.     

Attainability of European path-independent claims in incomplete markets

In this paper we consider the question which path-independent claims are attainable through self-financing trading strategies in an incomplete market. For continuous-time stochastic volatility models we show that only affine payoffs can be replicated. We provide a simple proof for this proposition based on the requirement that, for replication, the stock and the claim must be locally perfectly correlated, and based on the partial differential equation that any path-independent claim has to satisfy. Moreover, we show that this result does not carry over to discrete setups.