The valuation of American call options and the expected ex-dividend stock price decline

This study focuses on the ex-dividend stock price decline implicit within the valuation of American call options on dividend-paying stocks. The Roll (1977) American call option pricing formula and the observed structure of CBOE call option transaction prices are used to infer the expected ex-dividend stock price decline as a proportion of the amount of the dividend. The relative decline is shown to be not meaningfully different from one, confirming some recent evidence from studies which examined stock prices in the days surrounding ex-dividend.     

Do firms understate stock option-based compensation expense disclosed under SFAS 123?

Focusing on the four key option pricing model inputs—expected option life, expected stock price volatility, expected dividend yield, and the risk-free interest rate for the expected life of the option—this study finds that firms understate option value estimates and, thus, stock-based compensation expense disclosed under SFAS 123. As predicted based on incentives and opportunities for management to understate SFAS 123 expense, the understatement of option value estimates is increasing in proxies for the magnitude of the expense, is greater for firms with weaker corporate governance, and, to a lesser extent, is increasing in the excessiveness of executive pay. The findings are strongest for the expected option life and expected stock price volatility input assumptions, consistent with firms’ greater latitude in determining these inputs. We find weaker evidence of understatement associated with the expected dividend yield assumption, and none for the interest rate assumption, consistent with these inputs being less amenable to discretion. Taken together, our findings raise some concern that the exercise of management discretion adversely affects the overall reliability of SFAS 123 expense.

Dividend Surprises Inferred from Option and Stock Prices

This paper introduces a new method to measure the unexpected component of dividend announcements. While measures used previously were based on various arbitrary models of dividend expectations, our suggested method compares the reaction of stock and option prices to dividend announcements. Our measure is compared to commonly used model-based measures, to a Box-Jenkins time-series-based measure, and to a Value-Line Investor Survey-based measure of dividend surprises. The new measure is more highly correlated with the market's reaction to the announcements than are alternative measures of dividend surprises. The new measure is also shown to be insensitive to the extent to which the options used to identify unexpected dividend announcements are in- or out-of-the-money.     

Share Repurchases,Dividends and Executive Options: the Effect of Dividend Protection

We study the determinants of share repurchases and dividends in Finland. We find that higher foreign ownership serves as a determinant of share repurchases and suggest that this is explained by the different tax treatment of foreign and domestic investors. Further, we also find support for the signalling and agency cost hypotheses for cash distributions. The fact that 41% of the option programmes in our sample are dividend protected allows us to test more directly the ‘substitution/managerial wealth’ hypothesis for the choice of distribution method. When options are dividend protected, the relationship between dividend distributions and the scope of the options programme turns to a significantly positive one instead of the negative one documented in US data.     

Option Implied Dividends Predict Dividend Cuts: Evidence from the Financial Crisis

We employ the forward‐looking implied dividend information contained in option prices to predict dividend cuts and omissions during the recent financial crisis. The large number of dividend cuts and omissions during the 2008–09 financial crisis period provides the opportunity to study the predictability of dividend cuts in a controlled environment. Implied dividends and implied volatility, based on put–call parity and computed from put and call option prices, prove to be effective in predicting those cuts, especially compared to only using the equity market and accounting variables conventionally used for this purpose. Options‐derived variables (implied dividends and implied volatility) enhance the ability to identify firms more likely to reduce or omit dividend payments.     

Dividend change announcements,ROE, and the cost of equity capital

We hypothesize and present strong evidence that dividend increases (decreases) result in a general decrease (increase) in the opportunity cost of equity capital (K_e), measured by the discount rate implicit in analysts' forecasts. Estimates of K_e obtained from analyst forecast data likely capture priced information risk that is not reflected in cost of equity capital estimates customarily obtained from empirical excess returns data. In the presence of a full menu of control variables, our measured changes in the cost of equity capital are shown to provide high explanatory power for the market reaction to dividend change announcements. We also hypothesize and demonstrate that the impact of dividend changes on the cost of equity is conditional on how preannouncement K_e relates to preannouncement return on equity (ROE). Specifically, dividend increases result in a reduction in the cost of equity capital only when currently experienced ROE < K_e. This is consistent with shareholders preferring earnings to be reinvested by managers to earn a higher rate than their opportunity rate. When ROE > K_e, on the other hand, the cost of equity capital actually increases. For dividend decreases, the cost of equity capital increases only when ROE > K_e, consistent with firms currently experiencing positive economic income using dividend cuts to signal anticipated permanent earnings declines. Together with extensive robustness tests, our results indicate that dividend changes significantly affect shareholder value, contrary to the longstanding dividend irrelevance argument.     

Accounting information,disclosure, and expected utility: Do investors really abhor uncertainty?

Investors are said to “abhor uncertainty,” but if there were no uncertainty they could earn only the risk‐free rate. A fundamental result in the analytical accounting literature shows that investors buying into a CARA‐normal CAPM market pay lower asset prices, gain higher ex‐ante expected returns, and obtain higher expected utility, when the market payoff has higher variance. New investors obtain similar “welfare” gains from risk under a log/power utility CAPM. These results do not imply that investors “abhor information.” To realize investors' ex‐ante expectations, the subjective probability distributions representing market expectations must be accurate. Greater payoff risk can add to investors' expected utility, but higher ex‐post(realized) utility comes from better information and more accurate ex‐ante expectations. An important implication for accounting is that greater disclosure can have the simultaneous effects of (i) exposing more fully or perceptibly firms' payoff uncertainty, thereby increasing new investors' expected utility, and (ii) improving market estimates of firms' payoff parameters (means, variances, covariances), thereby giving investors a better chance of realizing their expectations. Paradoxically, better information can be valuable to new investors by exposing more fully and more accurately the risk in firms' business operations and results–new investors maximizing expected utility want both more risk and better information.     

Ex-Day Price Behaviour, Market Microstructure and Settlement Costs

It is well documented that share prices on ex-dividend days drop by less than the value of the dividends paid. However, the explanations offered to date remain inconclusive. This study examines the behaviour of share prices on ex-dividend days using data from the UK after the introduction of the 1988 Income and Corporation Taxes Act. Following [10] we sub-divide the data conditional on the size of the dividend paid. We find that for the large dividend sub-sample, when the impact of market micro-structure is taken into account, the ex-dividend price drop is not significantly different to the value of the dividend paid.     

Tests of Two Models for Valuing Call Options on Stocks with Dividends

Roll has recently formulated an option pricing model which allows dividend payments on the underlying stock. This paper compares the performance of the exact Roll model with a modified, but inexact, Black-Scholes model. The results indicate that the Roll model prices are significantly closer to actual market prices.     

Advertising intensity,investor recognition,and implied cost of capital

The main purpose of this paper is to test Merton’s (J Finance 42(3):483–510, 1987) hypothesis that better investor recognition is correlated with lower expected returns. We measure investor recognition with the firms’ advertising intensity and offer consistent evidence that higher advertising intensity is associated with lower implied cost of capital, as derived from Value Line target prices and dividend forecasts. Investor recognition plays an important role in attracting investors, improving liquidity, and ultimately reducing the cost of capital. The findings shed light on the capital market implications of advertising expenditures and complement the extant research on investor recognition.     

The Information Content of Dividend Initiations and Firm Size: An Analysis Using Bid-Ask Spreads

The bid-ask spread of stock prices is examined for a sample of dividend initiating firms. The average percentage and dollar bid-ask spreads increase significantly on the day preceding the Wall Street Journal Index announcement date, possibly reflecting, on average, the market maker's anticipatory uncertainty. The day -1 increase in spread is inversely associated with firm size, an information environment proxy, after considering the simultaneous effects of dividend yield, returns variance, dollar trading volume and share price. The average percentage spread declines significantly on day 0 from its day -1 level and remains lower, on average, over a 365 day post-announcement period than 90 day pre-announcement levels. Similar results are obtained for dollar spread averages. The post-announcement percentage spread decline suggests a resolution of uncertainty, and is positively associated with the dividend yield. Dividend initiation announcements appear to reduce informational asymmetry.     

How Did the 2003 Dividend Tax Cut Affect Stock Prices?

We test the hypothesis that the 2003 dividend tax cut boosted US stock prices and thereby lowered the cost of equity capital. Using an event‐study methodology, we attempt to identify an aggregate stock market effect by comparing the behavior of US common stock prices with that of foreign equities and the equities of real estate investment trusts (REITs). We also examine the relative cross‐sectional response of prices of high‐ and low‐dividend‐paying stocks. We do not find any imprint of the dividend tax cut news on the value of the aggregate US stock market. On the other hand, high‐dividend stocks outperformed low‐dividend stocks by a few percentage points over the event windows, suggesting that the tax cut may have induced asset reallocation within equity portfolios. Finally, the positive abnormal return on nondividend paying US stocks in 2003 does not appear to be tied to tax cut news.     

Dividend Forecast Biases in Index Option Valuation

Since the early days of option pricing theory,the assumption that the dividends on the underlying stock or index over the life of the contract are known has not been challenged. We examine the sensitivity of index option prices to the assumption of dividend uncertainty. We consider a number of issues related to the forecasting of dividends and build a dividend forecasting model that passes several rigorous tests for unbiasedness. We then generate option prices using contemporary market levels and interest rates. We find that prices generated with the actual dividends are unbiased with respect to those generated using the forecasted dividends. The magnitudes of the forecast errors, however, are sufficiently large to suggest a concern, but the percentage errors are consistently small, typically amounting to less than two percent of the option price. We conclude that the convenient assumption that the stream of future dividendsis known is probably innocuous. This revised version was published online in November 2006 with corrections to the Cover Date.     

Retrieving risk neutral moments and expected quadratic variation from option prices

This paper derives exact formulas for retrieving risk neutral moments of future payoffs of any order from generic European-style option prices. It also provides an exact formula for retrieving the expected quadratic variation of the stock market implied by European option prices, which nowadays is used as an estimate of the implied volatility, and a formula approximating the jump component of this measure of variation. To implement the above formulas to discrete sets of option prices, the paper suggests a numerical procedure and provides upper bounds of its approximation errors. The performance of this procedure is evaluated through a simulation and an empirical exercise. Both of these exercises clearly indicate that the suggested numerical procedure can provide accurate estimates of the risk neutral moments, over different horizons ahead. These can be in turn employed to obtain accurate estimates of risk neutral densities and calculate option prices, efficiently, in a model-free manner. The paper also shows that, in contrast to the prevailing view, ignoring the jump component of the underlying asset can lead to seriously biased estimates of the new volatility index suggested by the Chicago Board Options Exchange.     

The effects of dividend yield and dividend policy on common stock prices and returns

This paper suggests that it is not possible to demonstrate, using the best available empirical methods, that the expected returns on high yield common stocks differ from the expected returns on low yield common stocks either before or after taxes. A taxable investor who concentrates his portfolio in low yield securities cannot tell from the data whether he is increasing or decreasing his expected after-tax return by so doing. A tax exempt investor who concentrates his portfolio in high yield securities cannot tell from the data whether he is increasing or decreasing his expected return. We argue that the best method for testing the effects of dividend policy on stock prices is to test the effects of dividend yield on stock returns. Thus the fact that we cannot tell, using the best available methods, what effects dividend yield has on stock returns implies that we cannot tell what effect, if any, a change in dividend policy will have on a corporation's stock price.     

An Empirical Examination of the Price-Dividend Relation with Dividend Management

Some recent empirical evidence suggests that stock prices are not properly modeled as the present discounted value of expected dividends. In this paper, we estimate a present value model of stock price that is capable of explaining the observed long-term trends in stock prices. The model recognizes that firm managers control cash dividend payments. The model estimates indicate that stock price movements may be explained by managerial behavior.     

A simple approach for pricing barrier options with time-dependent parameters

Abstract

In this paper we present a simple and easy-to-use method for computing accurate estimates (in closed form) of Black-Scholes barrier option prices with time-dependent parameters. This new approach is also able to provide tight upper and lower bounds (in closed form) for the exact barrier option prices.     

Implied Foreign Exchange Risk Premia

This paper uses implied volatilities from foreign exchange option prices and the results of no‐arbitrage theory to estimate foreign exchange risk premia. In particular, under the assumption of no‐arbitrage, the foreign exchange risk premium is driven by the difference between investors’ market prices of risk in the two currencies. In an international economy with three currencies, sterling, US dollar and Deutschemark, we can use the information on implied volatilities of the three cross rates to derive estimates of implied or ex ante market prices of risk and of foreign exchange risk premia. The foreign exchange risk premia estimates are then compared to survey‐based risk premia.     

The relative pricing of European dividend futures and their predictive abilities for index returns

We use dividend futures prices to derive a dividend future discount model. Arbitrage arguments postulate that the sum of discounted dividend futures prices should equal the index price, i.e. the sum of discounted dividends. We analyze whether this relation holds and find that the two valuation approaches lead to a different valuation of expected dividends. These observations indicate that dividend futures and index prices seem to provide the investor with different information on future dividends. We further show that the difference in valuation can be used to forecast index returns and show how an investment strategy can exploit this predictability.