Foreign equity option pricing under stochastic volatility model with double jumps

This paper considers the challenging problem advocated by Huang and Hung (2005), that is to incorporate the stochastic volatility into the foreign equity option pricing. Foreign equity options (quanto options) are contingent claims where the payoff is determined by an equity in one currency but the actual payoff is done in another currency. Huang and Hung (2005) priced foreign equity options under the Lévy processes. In Huang and Hung's paper, they considered jumps in the foreign asset prices and exchange rates and assumed the volatility as constant. However, many studies showed that constant volatility and jumps in returns are incapable of fully capturing the empirical features of equity returns or option prices. In this paper, the stochastic volatility with simultaneous jumps in prices and volatility is proposed to model foreign asset prices and exchange rates. The foreign equity option pricing formula is given by using the Fourier inverse transformation. The numerical results show that the use of stochastic volatility with simultaneous jumps in prices and volatility proposed to model foreign asset prices and exchange rates is necessary and this approach can help us to capture more accurately the foreign equity option prices.     

Pricing foreign equity options with regime-switching

In this paper, we investigate the valuation of two types of foreign equity options under a Markovian regime-switching mean-reversion lognormal model, where some key model parameters in the dynamics of the foreign equity price and the foreign exchange rate are modulated by a continuous-time, finite-state Markov chain. A fast Fourier transform (FFT) approach is applied to provide an efficient way to evaluate the option prices. Numerical analysis and empirical studies are provided to illustrate the practical implementation of the proposed pricing model.     

SKEWNESS AND KURTOSIS PROPERTIES OF INCOME DISTRIBUTION MODELS

This paper explores the ability of some popular income distributions to model observed skewness and kurtosis. We present the generalized beta type 1 (GB1) and type 2 (GB2) distributions' skewness–kurtosis spaces and clarify and expand on previously known results on other distributions' skewness–kurtosis spaces. Data from the Luxembourg Income Study are used to estimate sample moments and explore the ability of the generalized gamma, Dagum, Singh–Maddala, beta of the first kind, beta of the second kind, GB1, and GB2 distributions to accommodate the skewness and kurtosis values. The GB2 has the flexibility to accurately describe the observed skewness and kurtosis.     

Market moves and the information content of option prices

In this paper we estimate risk-neutral returns distributions using the prices of options written on S&P 500 index futures and investigate whether or not specific characteristics of the returns distributions might be useful information for the purpose of predicting changes in market direction. The key distributional characteristics we focus on are skewness, kurtosis, and the probability weight in the extreme tails of the implied risk-neutral returns distributions. We find that, with one possible exception, the characteristics we considered are unlikely to improve a trader's ability to predict market moves.     

外资银行进入模式选择——考虑退出期权

利用实物期权方法,在考虑未来退出灵活性的情况下,分析了外资银行对进入中国市场模式的选择。研究结果表明:随着市场波动率和外资银行退出收益率的增加,外资银行选择少数股权进入模式时的退出价值大于选择独立发展进入模式时的退出期权价值,因此外资银行倾向于选择少数股权进入;随着外资银行经营效率的提高和中资银行本土化优势的减弱,外资银行倾向于选择独立发展模式进入。     

大宗农产品价格风险评估——基于小波神经网络-Bootstrap方法的实证研究

构建了一个将小波神经网络与Bootstrap抽样相结合的价格风险评估模型。采用国际通用的VaR(在险价值)风险指标评估了国内小麦、水稻、玉米、大豆和棉花5种主要大宗农产品现货价格的风险水平,仿真研究了以上大宗农产品价格下跌风险和价格上涨风险的分布特征。结果表明:按价格风险水平由高到低对5种主要大宗农产品进行排序依次为棉花、大豆、玉米、小麦和水稻;从风险均值来看,我国大宗农产品价格特别是粮食价格的风险处于较低水平;从风险的经验分布来看,除大豆外,其他大宗农产品(特别是小麦、水稻和玉米)的涨价风险高于跌价风险;5种农产品的价格均存在偏度风险和峰度风险。     

Controlling portfolio skewness and kurtosis without directly optimizing third and fourth moments

In spite of their importance, third or higher moments of portfolio returns are often neglected in portfolio construction problems due to the computational difficulties associated with them. In this paper, we propose a new robust mean–variance approach that can control portfolio skewness and kurtosis without imposing higher moment terms. The key idea is that, if the uncertainty sets are properly constructed, robust portfolios based on the worst-case approach within the mean–variance setting favor skewness and penalize kurtosis.     

Option contracting in the California water market

Temporary water transfers, as achievable under option contracts, capture gains from trade that would go unrealized if only permanent transfers of water rights were possible. This paper develops a bilateral option contracting model for water which includes the possibility of conveyance losses and random delivery. Seller-optimal and socially optimal option contracts are characterized in terms of relevant base and strike prices, as well as contract volumes, from an ex-ante and an ex-post point of view. Lastly, welfare gains are estimated, and actual contract prices in California are compared to model-predicted prices.     

How the Machinery of International Finance Runs with Sand in its Wheels

The dramatic swings in international capital movements in recent years have renewed interest in restrictions on capital flows. This paper provides a model of international asset flows and domestic equity price formation incorporating three restrictions on capital flows. A transaction tax introduces significant asymmetries in the reaction of asset prices to financial and real shocks but has no long-lived effects. Policies targeted to the level of net foreign debt by imposing a tax or outright controls do influence the steady-state levels of the real exchange rate and relative equity prices.     

The effect of the shape of the income distribution on two inequality measures

This letter describes the effect of skewness and kurtosis of the log-income distribution on two measures of income inequality. Positive skewness and leptokurtosis affect inequality positively.     

Skewness,short interest and the efficiency of stock prices

We examine the association between return skewness, short interest and the efficiency of stock prices. Since preferences for skewness have been shown to impact asset prices, we examine how skewness relates to market efficiency. We find that stocks with positive skewness are less efficient, which might be explained by investor preferences for positive skewness. Next, we document that short interest reduces both total skewness and idiosyncratic skewness. Finally, while research has shown that short selling can improve the efficiency of markets generally, we show that short interest’s ability to improve market efficiency is strongest in stocks with the highest skewness.     

Some evidence in the trading and pricing of equity LEAPS

This paper documents some evidence in the trading and pricing of equity Long-term Equity AnticiPation Securities (LEAPS). The main findings on trading are that LEAPS open interest, trading volume, and put/call ratio are seasonal on a yearly basis possibly due to the impact of the “melding” process that is unique to equity LEAPS. This paper also finds that the Black–Scholes Option Pricing Model, in general, overprices or underprices out-of-the-money (OTM) or in-the-money (ITM) equity LEAPS calls, respectively, and the model tends to overprice when the options are very deep in-the-money (VDITM). Furthermore, the evidence indicates that the deviations of the Black–Scholes prices from the observed option market prices are more pronounced in equity LEAPS than in standard options, suggesting that the Black–Scholes Option Pricing Model is less well suited to the pricing of equity LEAPS than to the pricing of standard options.     

Modelling conditional moments and correlation with the continuous hidden-threshold-skew-normal distribution

A key issue in modelling conditional densities of returns of financial assets is the time-variation of conditional volatility. The classic econometric approach models volatility of returns with the generalized autoregressive conditional heteroscedasticity (GARCH) models where the conditional mean and the conditional volatility depend only on historical prices. We propose a new family of distributions in which the conditional distribution depends on a latent continuous factor with a continuum of states. The distribution has an interpretation in terms of a mixture distribution with time-varying mixing probabilities. The distribution parameters have economic interpretations in terms of conditional volatilities and correlations of the returns with the hidden continuous state. We show empirically that this distribution outperforms its main competitor, the mixed normal conditional distribution, in terms of capturing the stylized facts known for stock returns, namely, volatility clustering, leverage effect, skewness, kurtosis and regime dependence.     

Dynamic linkages between exchange rates and stock prices: Evidence from East Asian markets

This study examines dynamic linkages between exchange rates and stock prices for seven East Asian countries, including Hong Kong, Japan, Korea, Malaysia, Singapore, Taiwan, and Thailand, for the period January 1988 to October 1998. Our empirical results show a significant causal relation from exchange rates to stock prices for Hong Kong, Japan, Malaysia, and Thailand before the 1997 Asian financial crisis. We also find a causal relation from the equity market to the foreign exchange market for Hong Kong, Korea, and Singapore. Further, while no country shows a significant causality from stock prices to exchange rates during the Asian crisis, a causal relation from exchange rates to stock prices is found for all countries except Malaysia. Our findings are robust with respect to various testing methods used, including Granger causality tests, a variance decomposition analysis, and an impulse response analysis. Our findings also indicate that the linkages vary across economies with respect to exchange rate regimes, the trade size, the degree of capital control, and the size of equity market.     

"热钱"对我国资产价格影响的实证研究

按通常研究思路,要研究热钱对资产价格的影响,首先要计算热钱数量。但是要较为准确地计算出热钱数量绝非易事。抓住我国外汇管理制度特点和热钱的逐利性这两点能巧妙地绕过计算热钱数量这一难题。通过对2002年1月至2009年9月的月度统计数据进行实证检验发现,流入我国境内的热钱主要是流入了房市而不是股市,并推动了房价的上涨;房价的上涨会进一步吸引热钱流入。     

Persistence and Predictability of Skewness in Country Equity Market Returns

This article explores the skewness characteristics of eighteen developed country equity market returns. The empirical results indicate that country skewness tends to have the same sign for different measurement intervals. Also, the magnitude of country skewness increases as the measurement interval increases. Further, the results indicate that positive skewness is not a predominant phenomenon. In addition, this study examines the predictability of country skewness using a Spearman Rank Order test and an autoregression test. The findings generally indicate that past monthly country skewness could not be used to reliably predict the extent of skewness of future periods.

     

Systematic skewness in asset pricing: an empirical examination of the Taiwan stock market

This paper is an empirical study of asset pricing with the systematic skewness in the pricing model. We adopt the Fama-French three-factor model, which incorporates the firm-size and book-to-market ratio in asset pricing as the base case, and then includes the skewness factor used by Harvey and Siddique in the pricing model. The evidence shows that systematic skewness is significant and might be important in asset pricing when portfolios are formed by industry, firm-size, book-to-market, or momentum strategies. When portfolios are constructed by momentum or coskewness strategies, lower momentum, or lower coskewness portfolios exhibit higher skewness and higher kurtosis. When portfolios are grouped by excess returns, it is seen that the average excess return is positively correlated with size and coskewness. Thus the systematic skewness is closely related to firm size. And the relationship between systematic skewness and excess return is obscured by the reverse firm-size effect.     

Global idiosyncratic risk moments

We investigate a global cross-sectional relation between idiosyncratic risk moments and expected stock returns by suggesting three global idiosyncratic volatility, skewness, and kurtosis risk factors. We also suggest two global small minus big and high minus low risk proxies for estimating return residuals of the test assets from a global asset pricing model. To perform robustness checks, we suggest other four global risk factors of momentum, leverage, bid-ask spread, and liquidity. We find a significant negative relation between stock portfolio returns and the global moments, and the cross section of stock returns reflects a significant negative price of risk for global idiosyncratic skewness (?0.13%) and idiosyncratic volatility (?1.85%) and a positive and significant price of risk for global idiosyncratic kurtosis. We find that our suggested risk factors are key drivers of risk premia in stock market and are robust to various checks. These factors also can forecast the gross domestic product growth over the sample period.     

Equity Prices, Productivity Growth and 'The New Economy'

The sharp increase in equity prices over the 1990s was widely attributed to permanently higher productivity growth derived from the New Economy. This article establishes a rational expectations model of technology innovations and equity prices, which shows that under plausible assumptions, productivity advances can only have temporary effects on the fundamentals of equity prices. Using historical data on productivity of R&D capital, patent capital and fixed capital for 11 OECD countries, empirical evidence gives strong support for the model by suggesting that technological innovations indeed have only temporary effects on equity returns.     

International asset prices and portfolio choices under Bayesian learning

We calculate equilibrium asset prices and portfolio choices from a two-country OLG international asset pricing model under the assumption that investors are on a Bayesian learning path. Investors from both countries receive identical information flows, but domestic investors start off with less precise priors concerning foreign fundamentals. Learning is shown to produce first-order effects on the properties of asset prices, in the form of increased equity returns, volatility clustering, and time-varying correlations across national stock markets. Moreover, on a learning path, estimation risk generates portfolio biases similar to those observed empirically, i.e. a strong preference towards domestic securities and excessive turnover in foreign securities. These findings are robust to changes in prior beliefs, the calibration of initial information asymmetries, and the parameterization of the model. We use real GDP data for the US and Europe to calibrate the model and show that in the event of a financial liberalization during the 1970s, high excess returns, time-varying volatility, substantial home bias, and excess turnover should have been observed.