Intra-market sovereign linkages of key Latin American markets

This paper tests the intra-market dynamics in a regional setting using country-specific international bonds differentiated only by maturity within individual markets in the Latin American region. We use the 2001 Argentine default as a natural experiment in this study to examine how intra-market dynamics evolved in the presence of a credit event in the region. This paper argues that emerging market instruments have a stronger tendency to tie up with instruments within markets rather than across markets as found in the literature. The long-run equilibrium relationships tend to be stronger across instruments within each market and generate economically insignificant portfolio adjustment weights. Strong interaction across instruments within markets in terms of first order dependencies has important implications for market participants, practitioners and policymakers.     

Optimal constrained investment in the Cramer-Lundberg model

We consider an insurance company whose surplus is represented by the classical Cramer-Lundberg process. The company can invest its surplus in a risk-free asset and in a risky asset, governed by the Black-Scholes equation. There is a constraint that the insurance company can only invest in the risky asset at a limited leveraging level; more precisely, when purchasing, the ratio of the investment amount in the risky asset to the surplus level is no more than a; and when short-selling, the proportion of the proceeds from the short-selling to the surplus level is no more than b. The objective is to find an optimal investment policy that minimizes the probability of ruin. The minimal ruin probability as a function of the initial surplus is characterized by a classical solution to the corresponding Hamilton-Jacobi-Bellman (HJB) equation. We study the optimal control policy and its properties. The interrelation between the parameters of the model plays a crucial role in the qualitative behavior of the optimal policy. For example, for some ratios between a and b, quite unusual and at first ostensibly counterintuitive policies may appear, like short-selling a stock with a higher rate of return to earn lower interest, or borrowing at a higher rate to invest in a stock with lower rate of return. This is in sharp contrast with the unrestricted case, first studied in Hipp and Plum, or with the case of no short-selling and no borrowing studied in Azcue and Muler.     

The U.S. health care expenditure: evidence from 2001 to 2009

This study utilizes state-level data from 2001 to 2009 to estimate the impact of the 2007 financial crisis upon health care expenditures. Higher death rates are consistently found to have a positive and statistically significant impact on health expenditures. While mental health and COPD are not generally found to impact expenditures, increases in the percentage of the population diagnosed with cholesterol and obesity tend to increase health expenditures. Increases in health expenditures slowed considerably after the financial crisis. Even though recessions (high unemployment rates) are generally found to have a positive impact on health expenditures, the post-financial crisis time period is estimated to have much lower health expenditures than in other time periods. Our results can be used to give insight into the conditions under which the slower rate of increase in health expenditures can be expected to increase. More research will be needed to be able to more completely explore not only the reasons for these changes in health expenditures but also whether they are likely to continue into the future.     

CLOSED FORM PRICING FORMULAS FOR DISCRETELY SAMPLED GENERALIZED VARIANCE SWAPS

Most of the existing pricing models of variance derivative products assume continuous sampling of the realized variance processes, though actual contractual specifications compute the realized variance based on sampling at discrete times. We present a general analytic approach for pricing discretely sampled generalized variance swaps under the stochastic volatility models with simultaneous jumps in the asset price and variance processes. The resulting pricing formula of the gamma swap is in closed form while those of the corridor variance swaps and conditional variance swaps take the form of one‐dimensional Fourier integrals. We also verify through analytic calculations the convergence of the asymptotic limit of the pricing formulas of the discretely sampled generalized variance swaps under vanishing sampling interval to the analytic pricing formulas of the continuously sampled counterparts. The proposed methodology can be applied to any affine model and other higher moments swaps as well. We examine the exposure to convexity (volatility of variance) and skew (correlation between the equity returns and variance process) of these discretely sampled generalized variance swaps. We explore the impact on the fair strike prices of these exotic variance swaps with respect to different sets of parameter values, like varying sampling frequencies, jump intensity, and width of the monitoring corridor.     

Momentum in the Chinese Stock Market: Evidence from Stochastic Oscillator Indicators

ABSTRACT

We explore whether investors earn profits through the use of stochastic oscillator indicators (SOI) for trading stocks. The results reveal that investors might use momentum strategies when trading constituent stocks of SSE 50 as the overbought trading signals emitted by SOI. We infer that the results might be caused by herding behaviors of Chinese investors since overoptimistic moods are likely to exist as evidenced by the 80 percent trading volume traded by individual investors in the Chinese stock market.     

PRICE SETTING OF MARKET MAKERS: A FILTERING PROBLEM WITH ENDOGENOUS FILTRATION

This paper studies the price‐setting problem of market makers under risk neutrality and perfect competition in continuous time. The classic approach of Glosten–Milgrom is followed. Bid and ask prices are defined as conditional expectations of a true value of the asset given the market makers' partial information that includes the customers' trading decisions. The true value is modeled as a Markov process that can be observed by the customers with some noise at Poisson times. A mathematically rigorous analysis of the price‐setting problem is carried out, solving a filtering problem with endogenous filtration that depends on the bid and ask price processes quoted by the market maker. The existence and uniqueness of the bid and ask price processes is shown under some conditions.     

Sustainable hub location under mixed uncertainty

This paper addresses a novel sustainable hub location problem (SHLP) in which two new environmental-based cost functions accounting for air and noise pollution of vehicles are incorporated. To cope with uncertain data incorporated in the model, a mixed possibilistic–stochastic programming approach is proposed to construct the crisp counterpart. A simulated annealing (SA) and an imperialist competitive algorithm (ICA) with a new solution representation are developed to solve real-sized instances whose performances are compared with a proposed lower bound. Finally, some computational experiments are provided to demonstrate the effectiveness of the proposed model and solution approaches.     

Short-time at-the-money skew and rough fractional volatility

The Black–Scholes implied volatility skew at the money of SPX options is known to obey a power law with respect to the time to maturity. We construct a model of the underlying asset price process which is dynamically consistent to the power law. The volatility process of the model is driven by a fractional Brownian motion with Hurst parameter less than half. The fractional Brownian motion is correlated with a Brownian motion which drives the asset price process. We derive an asymptotic expansion of the implied volatility as the time to maturity tends to zero. For this purpose, we introduce a new approach to validate such an expansion, which enables us to treat more general models than in the literature. The local-stochastic volatility model is treated as well under an essentially minimal regularity condition in order to show such a standard model cannot be dynamically consistent to the power law.     

Analysis of interregional industry linkage and economic distance in China: evidence from the mining industry

The mining industry is an important sector of the national economy, which provides essential support for energy and other resources for economic development. Industrial linkage and economic distance are two different concepts in measuring the correlationship of different industries, in this article, we apply the model that combines both of them to analyse the industries significantly influence the mining industry. We find that electricity and heating industry, and the mining industry itself from forward linkages have greatly influenced the mining industry, and the industries from backward linkages affect mining industry are changing with industrial economic transformation. We also find resources can flow across several regions only after 2007, which means the role of geographical factors limiting long-range transportation of resources is weakening after 2007. And we explain how resources flow among various regions during 1997 ~ 2007. Based on the findings above, policy implications from the empirical results obtained are discussed.     

Can negative interest rates really affect option pricing? Empirical evidence from an explicitly solvable stochastic volatility model

The profound financial crisis generated by the collapse of Lehman Brothers and the European sovereign debt crisis in 2011 have caused negative values of government bond yields both in the USA and in the EURO area. This paper investigates whether the use of models which allow for negative interest rates can improve option pricing and implied volatility forecasting. This is done with special attention to foreign exchange and index options. To this end, we carried out an empirical analysis on the prices of call and put options on the US S&P 500 index and Eurodollar futures using a generalization of the Heston model in the stochastic interest rate framework. Specifically, the dynamics of the option’s underlying asset is described by two factors: a stochastic variance and a stochastic interest rate. The volatility is not allowed to be negative, but the interest rate is. Explicit formulas for the transition probability density function and moments are derived. These formulas are used to estimate the model parameters efficiently. Three empirical analyses are illustrated. The first two show that the use of models which allow for negative interest rates can efficiently reproduce implied volatility and forecast option prices (i.e. S&P index and foreign exchange options). The last studies how the US three-month government bond yield affects the US S&P 500 index.