Valuation of options on the maximum of two prices with default risk under GARCH models

In this paper, we work under GARCH models to value options on the maximum or the minimum of two prices. In addition, we consider not only two underlying asset prices but also geometric average ones. Further, default risk is also incorporated in a reduced-form model. In the proposed framework, closed-form pricing formulae of options on the maximum with or without default risk are derived and then used to perform numerical examples.     

CEO股票期权激励与并购决策关系研究——代理成本的中介作用和CEO过度自信的调节作用

运用美国上市银行1998—2014年的数据,将股票期权激励、代理成本、CEO过度自信与并购决策纳入统一的框架进行研究,以代理成本为中介变量,CEO过度自信为调节变量,以检验股票期权激励是否会影响并购决策,以及股票期权激励、代理成本、CEO过度自信与并购决策之间的关系。实证结果表明:CEO股票期权激励能够有效刺激其做出并购决策;代理成本对股票期权激励与并购决策的关系存在部分中介效应;CEO过度自信能显著调节股票期权激励与并购决策的关系;CEO过度自信对于股票期权激励与并购决策的关系的调节作用会通过代理成本起作用。     

Catastrophe equity put options with floating strike prices

In this study, we extend the results in Cox et al. (2004) by considering floating strike prices, which are affected by accumulated losses. We employ a compound Poisson process to describe catastrophe losses and adopt a mean-reverting square root process to capture the volatility of the underlying stock. In the numerical section, we first compare the differences in the prices of the options with fixed and floating strike prices. In addition, we illustrate the variance of the portfolios consisting of the stock and options with alternative kinds of strike prices by holding the total cost of the options constant. Variance-optimal portfolios are also investigated. Interestingly, numerical results show that the portfolios consisting of the stock and options with floating strike prices have lower variances in all cases, even when we hold the total option costs constant.     

Monetary policy and stock prices in small open economies: Empirical evidence for the new EU member states

This study presents evidence on the effect of domestic and Euro Area monetary policy on stock prices in four new EU member states of Central Europe and the main determinants of stock price volatility, estimating structural vector autoregressive models identified with short-run restrictions. We find that stock prices in the considered new EU member states are more sensitive to changes in the Euro Area interest rate than to the domestic one. Moreover, the bulk of stock price volatility in these countries is due to shocks related to exchange rate and Euro Area monetary policy. Overall, we find that local stock markets are more sensitive to external shocks than to domestic ones.     

Shadow costs of incomplete information and short sales in the valuation of the firm and its assets

This paper presents a simple framework for the valuation of compound options within shadow costs of incomplete information and short sales. The shadow cost includes two components. The first component is the product of pure information cost due to imperfect knowledge and heterogeneous expectations. The second component represents the additional cost caused by the short-selling constraint. Information costs are linked to Merton's (1987. Journal of Finance 42, 510) model of capital market equilibrium with incomplete information, CAPMI. This model is extended by Wu et al. (1996. Review of Quantitative Finance and Accounting, 7, 136) who propose an incomplete-information capital market equilibrium with heterogeneous expectations and short sale restrictions, GCAPM. This model is used in our paper to provide for the first time in the literature analytic solutions for derivatives in the presence of both shadow costs of incomplete information and short sales.When deriving the compound call option formula, we consider a call option on a stock, which is itself an option on the assets of the firm. Our methodology incorporates shadow costs of incomplete information and short sales on the firm's assets as well as the effects of leverage in the capital structure. The formula can be useful in the valuation of several corporate liabilities in the presence of information uncertainty and short sales constraints about the firm and its cash flows. Our analysis can be used for the valuation of several real options.     

Voluntary Disclosure and Analyst Forecast

Empiricists document that firms more often voluntarily disclose bad news than good news and link this pessimism to managers’ increased incentives not to fall short of earnings expectations. This paper analyzes the voluntary disclosure of a manager’s private information by explicitly considering her incentives to meet or beat an analyst’s earnings forecast. The model predicts that managers who face strong incentives to meet or beat these forecasts more frequently disclose bad news than good news in order to guide analysts’ expectations about future earnings downward. This pessimism is higher in markets with less informed managers and may hold even if the manager has strong incentives for high stock prices and meet-or-beat incentives are comparably low.     

Profit opportunities with the American put-call parity when dividends are not expected

The objective of this research is to study borrowing and lending profit opportunities with the put-call parity of American options when dividends on the stock are not expected. Studying profit opportunities embedded in the put-call parity is intriguing because of their relative simplicity. The only assumptions necessary for the parity to hold are that option markets are frictionless and generate efficient prices of puts and calls around the underlying stock price. For this reason alone (parsimony of postulates) the put-call parity is a tempting vehicle for studying option market efficiency. In this work it is shown that both synthetic lending and borrowing parities (before and after transaction costs), on average and ex post, have negative expected profits (i.e. put-call parity implied rates are inferior to the observed riskless rate). When certain trading rules are established, however, empirical evidence of substantial profit opportunities with both lending and borrowing with the American parity (even after considering transaction costs) is observed. It is also shown that these opportunities are greater for some stocks than for others. The existence of these disparities might be an indication that the pricing mechanism of the respective options is not always in sync. The duration of disequilibrium between the options market and the stock market suggests that such occurrences are not just random bursts.     

Asymmetric information and inside management trading in the Chinese market

Insider trading incentives have been widely examined in stock markets, but mainly in developed countries. Given the fact that the volatility of stock exchange markets in emerging economies is typically even higher, there is a need for research to explore the extent to which information asymmetry plays a role in management trading incentives in emerging economies. To address this research need, this study examines management trading incentives in relation to investment efficiency in Chinese listed firms on the main board and on the small- to medium-enterprises (SME) board in the period 2006 to 2017. We find that executives buy shares when firms’ investments are more efficient. The frequency of management buying also increases with investment efficiency. However, managers do not sell their shares according to firms’ investment efficiency. Moreover, executives of firms listed on the main board trade more on the asymmetric information of investment efficiency than those on the SME board.     

Country and industry convergence of equity markets: International evidence from club convergence and clustering

This study employs the panel convergence methodology developed by Phillips and Sul (2007) to explore the convergence dynamics of international equity markets. The analysis considers both country and industry effects. While traditional portfolio management strategies usually follow a top-down procedure, assuming that country-level effects drive financial aggregates (e.g., stock returns) our empirical results suggest that the equity markets of 37 of the 42 counties in our sample do form a unified convergence club. The empirical findings, however, also show more numerous stock-price convergence clubs in certain industries. That is, country factors play a more important role in explaining the actual convergence in real stock prices than industry factors. Conversely, the volatility of stock prices exhibits much more evidence of convergence than stock prices. These findings should assist portfolio managers in the design and implementation of appropriate portfolio management strategies. Regulatory authorities also can benefit in the design of financial regulation.     

Financial reporting fraud and CEO pay-performance incentives

Because prior studies find mixed results on the relation between CEOs’ pay performance incentives and a firm’s likelihood of financial reporting fraud, we restudy their relationship using innovative research methods. First, we concentrate on incentives from granting options rather than equity-based incentives. Second, we emphasize vested options, disregarding unvested option holdings, and take the logarithm transformation of option incentives. Third, we analyse the impact of option incentives on future financial reporting irregularities. Using this innovative approach as well as a full sample and a matched sample, we find that an increase in executives’ option incentives raises the likelihood of financial reporting violations. Moreover, the effect of option incentives on financial reporting fraud is moderated by auditor effort. In addition, we find that another proxy for the measurement of executives’ option incentives, namely, the number of vested options by executives, is highly correlated with the CEO’s vested stock option sensitivity.     

短期内机构投资者行为和股票价格的互作分析

研究短期内机构投资者行为与不同规模公司股价的相互影响.在机构投资者对股价的影响方面,阐释并论证了机构持股比例增量与当日股价的正相关关系,指出机构对大盘股的影响强于对小盘股的影响.机构资金流入(流出)的定性信息本身对股价上升(下降)有额外的促进作用;相对于撤资而言,股价对机构的注资行为更敏感;而对小盘股,该不对称性更加明显.此外,当日收益率和前三天内的机构资金流入存在负相关关系,且该种负关系在大盘股中的表现比在小盘股中更为明显.在股价对机构投资者行为的反馈作用方面,以实证结果阐明了股价上升(下降)的信息本身可对机构行为有缓冲作用,且该作用对小盘股影响大于对大盘股的影响.研究显示,在短期内机构更倾向于动量交易,这在小盘股中尤为明显.三天前收益率对当日机构行为的影响颇为明显,且与一天前的收益率的影响力相当;相对而言,两天前收益率对机构行为的影响不甚明显.     

Is the nonlinear hedge of options more effective?—Evidence from the SSE 50 ETF options in China

The linear hedging of the options ignores the characteristic of the nonlinear change of option prices with the underlying asset. This paper establishes the nonlinear hedging strategy followed the study by Hull and White (2017) to investigate the effectiveness on the Shanghai Stock Exchange (SSE) 50 ETF options. The results show that the nonlinear hedge of the Chinese option market is less effective than the U.S option market because of the short history and the lower activity of the Chinese option market. The effect of nonlinear hedging strategy is better than the linear hedging strategy for calls in China. But for puts, the effect of the nonlinear hedging strategy is not as significant as it for calls. The difference in the trading volume between calls and puts and the high short-selling cost in the Chinese market are the main factors leading to the difference in hedge effectiveness. This paper suggests that the stock exchange could reduce margin standard of 50 ETF securities lending, promote a more flexible shorting mechanism, and accelerate the process of index options listed, so as to achieve hedging the risk of options more directly and efficiently.     

期权定价的“有限理性”视角：基于投资者情绪的研究

2013年的种种迹象表明我国金融市场将进入期权时代。期权价值的确定是期权功能发挥的前提和基础。本文从行为金融学的角度出发,在传统二叉树期权定价模型的基础上,通过引入投资者情绪变量构建基于投资者情绪的欧式看涨期权定价模型。模型表明,投资者情绪不仅通过行为随机折现因子直接影响期权价值,而且通过影响标的证券的价值运行概率间接影响期权的最终价值;投资者情绪与期权价格之间呈现正相关关系。最后,基于长虹CWB1的实证研究也表明了传统期权定价模型存在的缺陷,通过求解权证实际交易价格与理论价格之间的偏差,可以反算出投资者情绪,进而预测权证的行为价值。     

Market reactions to announcements to expense options

The joint hypotheses of informationally efficient markets, transparent financial statements, and adequate accounting disclosure suggest that announcements of changes in the accounting treatment of employee stock options from footnote disclosure to expense recognition should not trigger stock price reactions because free-cash-flows will not change. Event study results from a sample of 241 firms that announce such changes reveal statistically significant negative price changes followed by positive price changes about equal in magnitude. We propose the learning, sophisticated investor, neglected firm, and firm size hypotheses to explain the observed announcement-period stock price reaction.

Implied Sharpe ratios of portfolios with options: Application to Nikkei futures and listed options

We propose a criterion for portfolio selection, implied excess Sharpe ratio. The implied excess Sharpe ratio is intended as an excess Sharpe ratio (versus the underlying stock) that investors can expect to enjoy from portfolios that include options and is a useful ex ante indicator that can be easily calculated. There are a variety of ways to include options in a portfolio, but we theoretically show that the combination that produces the largest implied excess Sharpe ratio is the best way to maximize the short-term Sharpe ratio. The selection process uses implied excess Sharpe ratio, which is easily calculated from stock lending fees implied by stock prices and actual stock lending fee. It does not require historical simulation or prediction of share price average growth rates and is highly transparent as it can be easily reproduced (at a low calculation cost). Hence, the implied excess Sharpe ratio is a simple but effective tool for investors seeking returns in exchange for a certain amount of risk that want to use the options market efficiently. The short-term Sharpe ratio is not necessarily the only criterion, but is a rational benchmark of portfolio performance closely related to criteria such as the long-term Sharpe ratio and maximum drawdown. To examine the benefit of the concept, we construct an investment strategy that automatically selects from multiple candidate portfolios that are made up of combinations of Nikkei futures and Nikkei listed options the portfolio with the largest implied excess Sharpe ratio. Back-testing shows that this investment strategy performs well over the long term as well.     

US share prices and real supply and demand shocks

Demand and supply sources of output movement are distinguished and the effects of shocks on stock prices are analysed. The real economy has a more pronounced effect on the stock market than vice versa and the influence from the real economy to the stock market is less important than shocks that are peculiar to the market itself. Supply and demand shocks have a greater impact on stock prices than they do on real economy variables and the sensitivity of real stock prices to supply fluctuations has waned while the sensitivity of real stock prices to demand-driven output fluctuations has increased.     

Stock prices and the location of trade: Evidence from China-backed ADRs

This study examines whether the trading location affects equity returns of China-backed American Depository Receipts (ADRs) traded in the US. If International Financial Markets are integrated, stock prices should be affected only by their fundamentals; otherwise, stock prices may also be affected by their trading locations/investor sentiment. We find that China ADRs’ returns are affected more by the US market fluctuations than by Chinese market returns. We interpret the results as suggesting that International Financial Markets are at least partially segmented and country-specific investor sentiment affects stock prices.     

The market for crash risk

This paper examines the equilibrium when stock market crashes can occur and investors have heterogeneous attitudes towards crash risk. The less crash averse insure the more crash averse through options markets that dynamically complete the economy. The resulting equilibrium is compared with various option pricing anomalies: the tendency of stock index options to overpredict volatility and jump risk, the Jackwerth [Recovering risk aversion from option prices and realized returns. Review of Financial Studies 13, 433–451] implicit pricing kernel puzzle, and the stochastic evolution of option prices. Crash aversion is compatible with some static option pricing puzzles, while heterogeneity partially explains dynamic puzzles. Heterogeneity also magnifies substantially the stock market impact of adverse news about fundamentals.     

Pricing vulnerable options with stochastic liquidity risk

In this paper, we consider vulnerable options with stochastic liquidity risk. We employ liquidity-adjusted pricing models to describe the underlying stock price and option issuer’s assets. In addition, the correlation between these assets is stochastic, depending on the market liquidity measures. In the proposed framework, we derive closed forms of vulnerable European options with stochastic liquidity risk and then use them to illustrate the effects of stochastic liquidity risk on vulnerable option prices. Numerical results show that the effects of liquidity risk on the prices of out-of-the-money options or the options with a short maturity are not negligible.     

Short-selling restrictions,takeovers and the wealth of long-run shareholders

In this paper we consider a situation in which a firm may be able to influence the investors’ ability to short-sell its stock. We analyze the effect short-selling restrictions have on the market price and the subsequent effect generated on the market for corporate control. More precisely, we argue that short-selling restrictions may lead to exclusion of pessimistic beliefs and may therefore inflate prices. Thus, if a company is poorly managed and has a stock with strong short-selling restrictions, a profitable takeover will not emerge because of the high stock price. The raider may not have the incentives to acquire the company as its price will be above its fundamental value, conditional on takeover, even accounting for the potential benefits of takeover. We then argue that such effects are detrimental to long-run shareholders and that a value-maximizing strategy is to have a stock with no short-selling restrictions.