The impact of nominal stock price on ex-dividend price responses

In this paper, we examine whether nominal stock price can help to explain the ex-dividend day anomaly where stock prices drop by less than the dividend amount on the ex-dividend date. We find that stocks with lower nominal prices have ex-dividend day price drops that are more consistent with theoretical predictions based on an efficient market. After controlling for factors that have been previously documented to influence ex-dividend day stock price behavior, price-drop-to-dividend ratios are closer to one for lower priced stocks. To further explore this phenomenon, we examine the change in the price-drop-to-dividend ratio around stock splits. Firms that split their shares have a larger price-drop-to-dividend ratio after the split, and companies that reverse split their shares have a smaller price-drop-to-dividend ratio after the split. Our evidence indicates that ex-dividend day stock price behavior is influenced by the nominal price of a share and that this relation could also influence the decision to split a firm’s shares.     

Lost in translation: Delayed ex-dividend price adjustments of Hong Kong ADRs

Previous research documents that Hong Kong stocks have a full ex-dividend price adjustment consistent with dividends and capital gains being tax free. We examine ex-dividend price behavior of Hong Kong ADRs to assess the impact of differing tax environments in US and Hong Kong. These ADRs typically go ex-dividend before their underlying stock. They experience significant abnormal returns of 1.16% on their ex-day; the average ex-day price drop is only 30% of the dividend. However, ADR prices drop when the underlying stock goes ex-dividend subsequently. The cumulative ADR price drop is equal to the dividend. Thus, the ADR ex-dividend adjustment resembles that of the underlying stock, consistent with home country tax laws governing ADR price behavior. Neither liquidity nor transaction costs can explain the anomalous delayed ex-dividend adjustment of ADRs.     

The ex-dividend day stock price behavior in the Chinese stock market

This paper analyzes the ex-dividend day stock price behavior in the Chinese stock market. This market allows to examine the impact of tax effects while keeping any microstructure factors constant. The findings from non-taxable stocks show that their price, on the ex-dividend day, falls by an amount that is not statistically different from the dividend. For the taxable sample, stock prices of small dividend yield stocks fall proportionally to the dividend paid. For the large dividend yield stocks, the price adjustment depends on the effective tax rate on dividend income. The overall findings are consistent with the tax hypothesis.     

Ex-dividend date stock behavior and the clientele effect: Evidence around a tax reduction

This study analyzes the behavior of stock prices around the ex-dividend date focusing on the effects of a major tax reduction. Using the 40 most heavily traded shares on the Santiago Stock Exchange, the study evaluates price drop ratios using various measures of ex-dividend day prices. The findings indicate that the dividend tax reduction has an effect on the price drop ratio; this result is consistent with the clientele effect hypothesis.     

Efficient option pricing on stocks paying discrete or path-dependent dividends with the stair tree

Pricing options on a stock that pays discrete dividends has not been satisfactorily settled because of the conflicting demands of computational tractability and realistic modelling of the stock price process. Many papers assume that the stock price minus the present value of future dividends or the stock price plus the forward value of future dividends follows a lognormal diffusion process; however, these assumptions might produce unreasonable prices for some exotic options and American options. It is more realistic to assume that the stock price decreases by the amount of the dividend payout at the ex-dividend date and follows a lognormal diffusion process between adjacent ex-dividend dates, but analytical pricing formulas and efficient numerical methods are hard to develop. This paper introduces a new tree, the stair tree, that faithfully implements the aforementioned dividend model without approximations. The stair tree uses extra nodes only when it needs to simulate the price jumps due to dividend payouts and return to a more economical, simple structure at all other times. Thus it is simple to construct, easy to understand, and efficient. Numerous numerical calculations confirm the stair tree's superior performance to existing methods in terms of accuracy, speed, and/or generality. Besides, the stair tree can be extended to more general cases when future dividends are completely determined by past stock prices and dividends, making the stair tree able to model sophisticated dividend processes.     

The ex-dividend day stock price anomaly: evidence from the Greek stock market

This paper examines the ex-dividend stock price and trading volume behavior in the Greek stock market for the period 2000–2004. We use both standard event-study methodology and cross-sectional regression analysis in assessing the ex-dividend stock price anomaly. We find that stock prices drop less than the dividend amount. By examining abnormal returns as well as abnormal trading volume around the ex-dividend day, we find strong evidence of short-term trading, which is consistent with the presence of dividend-capturing activities around the ex-dividend day. The results from the cross-sectional regression analysis confirm that the short-term trading hypothesis explains the ex-dividend day stock price anomaly in Greece.

Ex-Dividend Day Stock Price Behavior: The Case of the 1986 Tax Reform Act*

This paper analyzes the behavior of stock prices around ex-dividend days after the implementation of the 1986 Tax Reform Act that dramatically reduced the difference between the tax treatment of realized long-term capital gains and dividend income in 1987 and completely eliminated the differential in 1988. We show that this tax change had no effect on the ex-dividend stock price behavior, which is consistent with the hypothesis that long-term individual investors have no significant effect on ex-day stock prices during this time period. The results indicate that the activity of short-term traders and corporate traders dominates the price determination on the ex-day.     

Closed-form valuation of American call options on stocks paying multiple dividends

An American call option on a stock paying a single known dividend can be valued using the Roll–Geske–Whaley formula. This paper extends the Roll–Geske–Whaley model to the n dividends case by using the generalized n-fold compound option model. In this way this paper offers a closed-form solution for American options on stocks paying n known discrete dividends. Moreover, the model also offers the critical values of the early exercise boundaries at each ex-dividend date instant, making it easy to define an early exercise strategy. Numerical examples are included to illustrate this approach.     

On the Upper Bound of a Call Option

Using only a weak set of assumptions, Merton (1973) shows that the upper bound of a European or American call option on a non-dividend paying stock is the underlying stock price: a result which is often extended to options on dividend paying stocks. In this short technical piece we show that the underlying stock price is in fact not the least upper bound of either a European or an American call option on a stock that pays one or more known dividends prior to maturity. Based on Merton's (1973) original framework, new upper bounds are established which depend on the size(s) of the dividend(s) compared to the size of the strike. JEL Classification: G12, G13     

On the multiplicity of option prices under CEV with positive elasticity of variance

The discounted stock price under the Constant Elasticity of Variance model is not a martingale when the elasticity of variance is positive. Two expressions for the European call price then arise, namely the price for which put-call parity holds and the price that represents the lowest cost of replicating the call option’s payoffs. The greeks of European put and call prices are derived and it is shown that the greeks of the risk-neutral call can substantially differ from standard results. For instance, the relation between the call price and variance may become non-monotonic. Such unfamiliar behavior then might yield option-based tests for the potential presence of a bubble in the underlying stock price.     

Comments on the valuation of derivative assets

This paper presents an alternative approach to derive the Breeden-Litzenberger valuation formula, which expresses the price of an arbitrary derivative security in terms of call options' prices. This valuation formula follows from the observation that a continuous derivative security can be replicated by a portfolio including a bond and call options with all possible exercise prices. Discrete terms are added to the original Breeden-Litzenberger formula to reflect possible discontinuities of the call option price's derivative with respect to the exercise price. These discontinuities are subsequently shown to correspond to mass points of the probability distribution of the stock price. Several applications of the Breeden-Litzenberger valuation formula are demonstrated.     

Option pricing model with sentiment

In this paper, we develop a closed-form option pricing model with the stock sentiment and option sentiment. First, the model shows that the price of call option is amplified by bullish stock sentiment, and is reduced by stock bearish sentiment, and the price of put option is in the opposite situation. Second, the price of call option is more sensitive to bullish stock sentiment; the price of put option is more sensitive to bearish stock sentiment. Third, the price of call option increases substantially with respect to the stock sentiment and the option sentiment. The price of put option decreases substantially with respect to the stock sentiment, increases substantially with respect to the option sentiment. Fourth, our models also reveal that the option volatility smile is steeper (flatter) when the stock sentiment becomes more bearish (bullish). Finally, stock sentiment and option sentiment lead to the option price deviating from the rational price. The model could offer a partial explanation of some option anomalies: option price bubbles and option volatility smile.     

EARLY EXERCISE OF AMERICAN INDEX OPTIONS

We show that exercise of American call options on stock indexes frequently occurs before expiration and attribute this early exercise to the “wild card” option that results from the cash settlement exercise process. The wild card represents an “implied option” to sell the index option at the fixed settlement price; it is therefore a put option on the index call option. We derive a simple one-period valuation model using compound option pricing. Analysis of observed early exercise demonstrates that the wild card feature is a factor influencing early exercise of index options.     

Effects of investor tax heterogeneity on stock prices and trading behaviour around the ex-dividend day: the case of Australia

Using a sample of Australian stocks during the 1996–2014 period, this study examines how tax heterogeneity between domestic and foreign investors affects trading behaviour and stock prices around the ex-dividend day. Domestic investors prefer dividends and tend to buy stocks cum-dividend and sell them ex-dividend whereas foreign investors tend to trade in the opposite direction. Abnormal trading turnover increases with tax heterogeneity. Moreover, stocks with a larger domestic investor base are associated with a higher price drop-off ratio on the ex-dividend day and higher market value of franking credits. Overall, our findings support the dynamic dividend clientele hypothesis.     

An analysis of option pricing under systematic consumption risk using GARCH

An issue in the pricing of contingent claims is whether to account for consumption risk. This is relevant for contingent claims on stock indices, such as the FTSE 100 share price index, as investor’s desire for smooth consumption is often used to explain risk premiums on stock market portfolios, but is not used to explain risk premiums on contingent claims themselves. This paper addresses this fundamental question by allowing for consumption in an economy to be correlated with returns. Daily data on the FTSE 100 share price index are used to compare three option pricing models: the Black–Scholes option pricing model, a GARCH (1, 1) model priced under a risk-neutral framework, and a GARCH (1, 1) model priced under systematic consumption risk. The findings are that accounting for systematic consumption risk only provides improved accuracy for in-the-money call options. When the correlation between consumption and returns increases, the model that accounts for consumption risk will produce lower call option prices than observed prices for in-the-money call options. These results combined imply that the potential consumption-related premium in the market for contingent claims is constant in the case of FTSE 100 index options.     

Dividend Size, Yield, Clienteles and REITs

Dividend size and dividend yield are typically highly correlated which substantially hinders the empirical assessment of ex-dividend stock pricing. The ability to disentangle the joint effect of dividend yield and dividend size on ex-dividend stock prices is thus of central importance in assessing existing theories. Fortunately, the REIT asset class provides data having a low correlation between dividend size and dividend yield allowing for a cleaner assessment of the extant theories. Evidence from the present study indicates that results that are typically interpreted as confirmatory of the tax-induced clientele effect may be spurious. Instead, transaction costs and limit order adjustments are likely the determinants of the observed relationships between the change in price to dividend ratio, dividend yield, and dividend size.     

Biases in option prices : Evidence from the foreign currency option market

This paper examines a European call model of option pricing over a data set which does not suffer from the early exercise problems that have plagued earlier studies of call options on common stocks. We specifically examine a data set of American call prices on spot foreign exchange for which it is plausible to apply an adjusted version of the Garman-Kohlhagen (1983) and Grabbe (1983) European call option model. We make adjustments for interest rate risk and find that the model is nearly unbiased in the valuation of foreign currency options. We conclude that the Geske-Roll (1984) conjecture about dividend uncertainty creating biases in stock option prices holds analogously in the foreign currency option market. Interest rate differential risk (analogous to risky dividends) thus appears to be an important element in the valuation of foreign currency options.     

税负效应与除息日股票价格行为研究——来自A股市场的实证证据

本文基于我国A股市场相关数据对除息日股价行为的税负效应进行全面检验,实证结果表明股息和资本利得税率对除息日股价波动行为具有显著影响,税负效应理论存在于A股市场,但除息日股价波动行为不能完全由税负效应进行解释,另外实证研究还发现我国A股市场不存在税收诱导客户效应。     

On the Distribution of CBOE Option Trade Prices Occurring Between Consecutive Stock Trades

This paper examines the volume distribution of option trade prices that occurs when the underlying stock price remains constant. The width of these option trade price bands provides direct evidence on the law of one price and the redundancy of options assumed in many option models. We find that index option bands are narrower than equity option bands. Furthermore, for both equity and index options, puts have narrower bandwidths than calls. In general, option price bandwidth is narrow and can be explained by the minimum price movement allowed by the Chicago Board Options Exchanges (CBOE). This supports the single price law and the redundancy assumption. The existence of bid/ask quotes on the option does not materially affect the above results although it does alter the frequency of multiple option trade prices for a given underlying stock price. We note that over 53% of option trading volume occurs without bid/ask quotes on the CBOE compared to less than 15% a decade ago. Our results suggest that the effective bid/ask spread on options is probably no larger than the minimum price movements allowed by the CBOE. Furthermore, the need for the liquidity services of market makers may be declining if the decline in quoting activity stems from cross trading (i.e. trades not involving market makers).     

On the pricing of European and American foreign currency call options

This study uses Cox-Ross analysis and dynamic programming techniques to price foreign currency call options. We show that, under certain conditions, the American call price will exceed its European counterpart, while under other conditions the two prices will be identical. We find that the American premium is a complex function of the degree to which an option is in or out of the money, and that this premium is greatest when an option is near in or out. We present empirical evidence which shows that the American model significantly improves upon a European model; however, significant pricing errors associated with the American model remain.