The previous studies on coskewness and cokurtosis between assets concentrate on the effects of coskewness and cokurtosis on the returns and prices of financial assets. This paper…
Abstract
The previous studies on coskewness and cokurtosis between assets concentrate on the effects of coskewness and cokurtosis on the returns and prices of financial assets. This paper explores the default correlation in the presence of coskewness and cokurtosis between two firm values. In doing so, we extend the structural model of Merton (1974) to incorporate coskewness and cokurtosis. We can observe some findings as follows. First, there are no significant effects of skewness and kurtosis associated with each individual firm return on default correlation. Second, the lower coskewness (or the higher cokurtosis) is, the larger default correlations are. But we can observe the opposite result for the firms with low credit rating as the maturity gets longer.
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Cassimon et al. (2007) propose a pricing formula of American call options under the multiple dividends by extending Roll (1977). However, because these studies investigate the…
Abstract
Cassimon et al. (2007) propose a pricing formula of American call options under the multiple dividends by extending Roll (1977). However, because these studies investigate the option pricing formula under the escrow model, there is inconsistency for the assumption of the stock prices. This paper proposes pricing formulas of American call options under the multiple dividends and piecewise geometric Brownian motion. For the formulas, I approximate the log prices of ex-dividend dates to follow a multivariate normal distribution, and decompose the option price as a function of payoffs and exercise boundaries. Then, I obtain an upper bound of the American call options by substituting approximated log prices into the both of the payoffs and the exercise boundaries. Besides, I obtain a lower bound of the price by substituting approximated price only into the exercise boundaries. These upper and lower bounds are exact prices when the amounts of dividends are linear to the stock prices. According to the numerical study, the lower bound produces relatively small errors. Especially, it produces small errors when the dividends are more sensitive to the stock price changes.
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In this study, we assume that stock prices follow piecewise geometric Brownian motion, a variant of geometric Brownian motion except the ex-dividend date, and find pricing…
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In this study, we assume that stock prices follow piecewise geometric Brownian motion, a variant of geometric Brownian motion except the ex-dividend date, and find pricing formulas of American call options. While piecewise geometric Brownian motion can effectively incorporate discrete dividends into stock prices without losing consistency, the process results in the lack of closed-form solutions for option prices. We aim to resolve this by providing analytical approximation formulas for American call option prices under this process. Our work differs from other studies using the same assumption in at least three respects. First, we investigate the analytical approximations of American call options and examine European call options as a special case, while most analytical approximations in the literature cover only European options. Second, we provide both the upper and the lower bounds of option prices. Third, our solutions are equal to the exact price when the size of the dividend is proportional to the stock price, while binomial tree results never match the exact option price in any circumstance. The numerical analysis therefore demonstrates the efficiency of our method. Especially, the lower bound formula is accurate, and it can be further improved by considering second order approximations although it requires more computing time.
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Kwangil Bae, Hankil Kang and Changjun Lee
This study examines the lead-lag relationship between the stock market and CDS market in Korea using the firm-level data during 2006-2009. Our main findings can be summarized as…
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This study examines the lead-lag relationship between the stock market and CDS market in Korea using the firm-level data during 2006-2009. Our main findings can be summarized as follows. First, our empirical finding shows that stock returns Granger cause CDS spread changes for a larger number of firms than vice versa. Second, the sub-sample analysis reveals that while the stock market leads the CDS market in each sub-sample, the lead-lag relationship is more pronounced in the post-crisis period. Finally, our main findings remain the same even in the presence of controlling variables such as equity volatilities, absolute bid-ask spreads, and CDS premium on foreign exchange stabilization bonds issued by Korean government. In sum, consistent with the U. S. and U. K. evidence, it appears that the stock market leads the CDS market in Korea.
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The author investigates realized comoments that overcome the drawback of conventional ones and derive the following findings. First, the author proves that (even generalized…
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The author investigates realized comoments that overcome the drawback of conventional ones and derive the following findings. First, the author proves that (even generalized) geometric implied lower-order comoments yield neither geometric realized third comoment nor fourth moment. This is in contrast to previous studies that produce geometric realized third moment and arithmetic realized higher-order moments through lower-order implied moments. Second, arithmetic realized joint cumulants are obtained through complete Bell polynomials of lower-order joint cumulants. This study’s realized measures are unbiased estimators and they can, therefore, overcome the drawbacks of conventional realized measures.
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Jun Sik Kim and Sol Kim
This paper investigates a retrospective on the Journal of Derivatives and Quantitative Studies (JDQS) on its 30th anniversary based on bibliometric. JDQSs yearly publications…
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This paper investigates a retrospective on the Journal of Derivatives and Quantitative Studies (JDQS) on its 30th anniversary based on bibliometric. JDQSs yearly publications, citations, impact factors, and centrality indices grew up in early 2010s, and diminished in 2020. Keyword network analysis reveals the JDQS's main keywords including behavioral finance, implied volatility, information asymmetry, price discovery, KOSPI200 futures, volatility, and KOSPI200 options. Citations of JDQS articles are mainly driven by article age, demeaned age squared, conference, nonacademic authors and language. In comparison between number of views and downloads for JDQS articles, we find that recent changes in publisher and editorial and publishing policies have increased visibility of JDQS.