Pricing variance and volatility swaps in a stochastic volatility model with regime switching: discrete observations case

This study presents a set of closed-form exact solutions for pricing discretely sampled variance swaps and volatility swaps, based on the Heston stochastic volatility model with regime switching. In comparison with all the previous studies in the literature, this research, which obtains closed-form exact solutions for variance and volatility swaps with discrete sampling times, serves several purposes. (1) It verifies the degree of validity of Elliott et al.'s [Appl. Math. Finance, 2007, 14(1), 41–62] continuous-sampling-time approximation for variance and volatility swaps of relatively short sampling periods. (2) It examines the effect of ignoring regime switching on pricing variance and volatility swaps. (3) It contributes to bridging the gap between Zhu and Lian's [Math. Finance, 2011, 21(2), 233–256] approach and Elliott et al.'s framework. (4) Finally, it presents a semi-Monte-Carlo simulation for the pricing of other important realized variance based derivatives.     

Openness and growth: an interpretation of empirical evidence from East Asian countries

This study investigates the effect of openness on economic growth for rapidly growing economies in East Asia in which rapid growth has been accompanied by a persistent openness to world trade. The framework of analysis is a five-variable vector autoregressive model that consists of real output, money supply, real government spending, foreign price shocks, and openness measures. The results do not strongly support the 'new' growth theories in which increasing openness affects long-run growth. For most countries in the sample, fiscal policy shocks as well as foreign price shocks have greater impacts on economic growth than does the openness shock. The results are generally consistent with the view that the role of the government is critical for growth among the East Asian economies.     

工科院校数学教师教学质量评价指标及方法

建立和完善有效的教学质量监控与评价指标体系,是提高教学质量的重要保证,是培养适合社会需求的高级人才的重要途径,是学校改革发展的需要。     

A mixed blessing of lifespan heterogeneity

Human mortality data reveal that life expectancy in industrialized countries has been converging to a common value. Yet, significant variations in the distributions of adult life-table ages at death among some developed countries have also been observed. This paper, largely motivated by Japan’s mortality data, presents a general equilibrium, overlapping-generations model that assesses the welfare effects of the mean-preserving declines in the variance of the distribution of adult ages at death. Our quantitative exercise reveals that for a given value of the economy-wide life expectancy, the individual welfare effects due to switching from high to low-variance steady states are length of life-dependent, quite sensitive to the average economy-wide retirement age, and strongly influenced by associated changes in the labor supply, factor prices, and lifetime earnings.     

利用样本轮换设计降低调查中的无回答影响

调查中无回答的存在往往是形成一种系统性误差的主要原因。它会造成统计分析结果产生偏差。文章主要讨论如何利用样本轮换技术有效地降低无回答带来的不良影响,从而提高统计估计的精度和分析结果的可靠性。     

Forecasting variance using stochastic volatility and GARCH

This paper estimates the conditional variance of daily Swedish OMX-index returns with stochastic volatility (SV) models and GARCH models and evaluates the in-sample performance as well as the out-of-sample forecasting ability of the models. Asymmetric as well as weekend/holiday effects are allowed for in the variance, and the assumption that errors are Gaussian is released. Evidence is found of a leverage effect and of higher variance during weekends. In both in-sample and out-of-sample comparisons SV models outperform GARCH models. However, while asymmetry, weekend/holiday effects and non-Gaussian errors are important for the in-sample fit, it is found that these factors do not contribute to enhancing the forecasting ability of the SV models.     

Optimal reinsurance and dividend for a diffusion model with capital injection: Variance premium principle

This paper considers the optimal dividend problem with proportional reinsurance and capital injection for a large insurance portfolio. In particular, the reinsurance premium is assumed to be calculated via the variance principle instead of the expected value principle. Our objective is to maximize the expectation of the discounted dividend payments minus the discounted costs of capital injection. This optimization problem is studied in four cases depending on whether capital injection is allowed and whether there exist restrictions on dividend policies. In all cases, closed-form expressions for the value function and optimal dividend and reinsurance policies are obtained. From the results, we see that the optimal dividend distribution policy is of threshold type with a constant barrier, and that the optimal ceded proportion of risk exponentially decreases with the initial surplus and remains constant when the initial surplus exceeds the dividend barrier. Furthermore, we show that the optimization problem without capital injection is the limiting case of the one with capital injection when the proportional transaction cost goes to infinity.     

随机波动模型下定价方差互换的一类控制变量

本文从风险中性定价的角度出发,给出了在随机波动模型下定价方差互换的一类控制变量,从而大大提高了使用蒙特卡罗方法计算方差互换价格时的效率,并在波动率的平方满足几何布朗运动(GBM)和波动率满足Ornstein-Uhlen-beck(OU)过程这两种随机波动情况下给出了控制变量的具体形式。特别对于GBM型随机波动模型,可以得到一系列控制变量,从而进行多元控制。     

Conjunctive Explanations in Cost Variance Investigation: Experimental Replications and Extensions

This study examined conjunctive explanations of cost variances. Two experiments were conducted in order to examine the effect of conjunctive or joint explanatory variables upon cost variance investigation decisions. These variables included the representativeness of the hypothesized explanatory variables; the inter-causality that existed between the explanatory factors; the perceived rarity of the explanation; and the multiplicity of explanatory variables related to the variance under investigation. Experiment 1 indicated significant main effects and insignificant interaction effects for representativeness and inter-causality upon investigation judgments. Experiment 2 revealed no significant effect for event rarity but a significant effect for multiplicity of explanatory factors. The results suggest that certain characteristics of conjunctive explanations do affect cost variance investigation decisions.     

Risk Management for Linear and Non-Linear Assets: A Bootstrap Method with Importance Resampling to Evaluate Value-at-Risk

Many empirical studies suggest that the distribution of risk factors has heavy tails. One always assumes that the underlying risk factors follow a multivariate normal distribution that is a assumption in conflict with empirical evidence. We consider a multivariate t distribution for capturing the heavy tails and a quadratic function of the changes is generally used in the risk factor for a non-linear asset. Although Monte Carlo analysis is by far the most powerful method to evaluate a portfolio Value-at-Risk (VaR), a major drawback of this method is that it is computationally demanding. In this paper, we first transform the assets into the risk on the returns by using a quadratic approximation for the portfolio. Second, we model the return’s risk factors by using a multivariate normal as well as a multivariate t distribution. Then we provide a bootstrap algorithm with importance resampling and develop the Laplace method to improve the efficiency of simulation, to estimate the portfolio loss probability and evaluate the portfolio VaR. It is a very powerful tool that propose importance sampling to reduce the number of random number generators in the bootstrap setting. In the simulation study and sensitivity analysis of the bootstrap method, we observe that the estimate for the quantile and tail probability with importance resampling is more efficient than the naive Monte Carlo method. We also note that the estimates of the quantile and the tail probability are not sensitive to the estimated parameters for the multivariate normal and the multivariate t distribution. The research of Shih-Kuei Lin was partially supported by the National Science Council under grants NSC 93-2146-H-259-023. The research of Cheng-Der Fuh was partially supported by the National Science Council under grants NSC 94-2118-M-001-028.