Anna Battauz, Marzia De Donno, Janusz Gajda, Alessandro Sbuelz
{"title":"Optimal exercise of American put options near maturity: A new economic perspective","authors":"Anna Battauz, Marzia De Donno, Janusz Gajda, Alessandro Sbuelz","doi":"10.1007/s11147-021-09180-w","DOIUrl":"https://doi.org/10.1007/s11147-021-09180-w","url":null,"abstract":"<p>The critical price <span>(S^{*}left( tright) )</span> of an American put option is the underlying stock price level that triggers its immediate optimal exercise. We provide a new perspective on the determination of the critical price near the option maturity <i>T</i> when the jump-adjusted dividend yield of the underlying stock is either greater than or weakly smaller than the riskfree rate. Firstly, we prove that <span>(S^{*}left( tright) )</span> coincides with the critical price of the covered American put (a portfolio that is long in the put as well as in the stock). Secondly, we show that the stock price that represents the indifference point between exercising the covered put and waiting until <i>T</i> is the European-put critical price, at which the European put is worth its intrinsic value. Finally, we prove that the indifference point’s behavior at <i>T</i> equals <span>(S^{*}left( tright) )</span>’s behavior at <i>T</i> when the stock price is either a geometric Brownian motion or a jump-diffusion. Our results provide a thorough economic analysis of <span>(S^{*}left( tright) )</span> and rigorously show the correspondence of an American option problem to an easier European option problem at maturity .</p>","PeriodicalId":45022,"journal":{"name":"Review of Derivatives Research","volume":"39 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138513649","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Does model complexity improve pricing accuracy? The case of CoCos","authors":"Christian Koziol, Sebastian Weitz","doi":"10.1007/s11147-021-09178-4","DOIUrl":"https://doi.org/10.1007/s11147-021-09178-4","url":null,"abstract":"<p>In this study, we analyze whether model complexity improves accuracy of CoCo pricing models. We compare the out-of-sample pricing ability of four models using a broad dataset that contains all CoCos which were issued between January 1, 2013 and May 31, 2016 in euros. The regarded models include the standard model from De Spiegeleer and Schoutens (J Deriv 20:27–36, 2012), a modified version enriched by credit risk, an extended model that accounts for the effective lifetime of the CoCo, and a trading model, solely based on historic market prices but no pricing theory at all. For a normal market environment, the simple trading model provides a higher pricing accuracy than the theory-based models. Under distress, however, a theory-based model with a sufficiently high complexity is required.</p>","PeriodicalId":45022,"journal":{"name":"Review of Derivatives Research","volume":"41 2","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138513646","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Interest rate swaps: a comparison of compounded daily versus discrete reference rates","authors":"R. Jarrow, Siguang Li","doi":"10.1007/s11147-022-09191-1","DOIUrl":"https://doi.org/10.1007/s11147-022-09191-1","url":null,"abstract":"","PeriodicalId":45022,"journal":{"name":"Review of Derivatives Research","volume":"26 1","pages":"1-21"},"PeriodicalIF":0.8,"publicationDate":"2021-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42809598","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Mean-variance hedging in the presence of estimation risk","authors":"Wan-Yi Chiu","doi":"10.1007/s11147-021-09176-6","DOIUrl":"https://doi.org/10.1007/s11147-021-09176-6","url":null,"abstract":"<p>The mean-variance hedging (MVH) with a significant risk-aversion coefficient is approximately equal to the minimum-variance (MV) hedge. However, how large the risk-aversion coefficient should be in practice? We determine the boundaries of risk-aversion coefficients that significantly distinguish the MV hedge and the MVH based on the different magnitudes of statistical errors in the presence of estimation risk. Based on the hedged variance, hedged return, and hedge ratio, we show that the MV hedge is statistically justified for MVH investor with an extensive range of risk-aversion coefficients. Additionally, the upper bound of the significant risk-aversion coefficient is positively related to the squared information ratio of futures.</p>","PeriodicalId":45022,"journal":{"name":"Review of Derivatives Research","volume":"39 5","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138513648","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Bayesian estimation of the stochastic volatility model with double exponential jumps","authors":"Jinzhi Li","doi":"10.1007/s11147-020-09173-1","DOIUrl":"https://doi.org/10.1007/s11147-020-09173-1","url":null,"abstract":"<p>This paper generalizes the stochastic volatility model to allow for the double exponential jumps. To derive the jumps and time-varying volatility in returns, we implement an efficient Markov chain Monte Carlo approach based on the band and sparse matrix algorithms used in Chan and Hsiao (SSRN Electron J., 2013, https://doi.org/10.2139/ssrn.2359838) to estimate this model. We illustrate the the methodology using the daily data for the Shanghai Composite Index, Hangseng Index, Nikkei 225 Index and Kospi Index. We find that the stochastic volatility model with double exponential jumps provide better fitness in sample period.</p>","PeriodicalId":45022,"journal":{"name":"Review of Derivatives Research","volume":"37 4","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138513652","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The impact of the leverage effect on the implied volatility smile: evidence for the German option market","authors":"A. Rathgeber, J. Stadler, S. Stöckl","doi":"10.1007/s11147-020-09171-3","DOIUrl":"https://doi.org/10.1007/s11147-020-09171-3","url":null,"abstract":"","PeriodicalId":45022,"journal":{"name":"Review of Derivatives Research","volume":"24 1","pages":"95 - 133"},"PeriodicalIF":0.8,"publicationDate":"2020-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11147-020-09171-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41514289","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}