wanyu/IteraTeR_full_sent huggingface dataset:
Original:  The asymptotic regime considered, in which the strike is made to converge to the spot stock price as the maturity approaches 0, is more relevant in applications since the most liquid options have strikes that  close to the spot price.
Revised:  The asymptotic regime considered, in which the strike is made to converge to the spot stock price as the maturity approaches 0, is more relevant in applications since the most liquid options have strikes that are close to the spot price.
Edit intent: clarity
Original:  In particular, a new type of transition phenomenon is uncovered in which the third order term exhibits two district asymptotic regimes depending on whether  1 <Y< 3/2 or 3/2 <Y<2.
Revised:  In particular, a new type of transition phenomenon is uncovered in which the third order term exhibits two distinct asymptotic regimes depending on whether 1 <Y< 3/2 or 3/2 <Y<2.
Edit intent: fluency
Original:  In particular, a new type of transition phenomenon is uncovered in which the third order term exhibits two district asymptotic regimes depending on whether  1 <Y< 3/2 or 3/2 <Y<2.
Revised:  In particular, a new type of transition phenomenon is uncovered in which the third order term exhibits two district asymptotic regimes depending on whether Y\in( 1 <Y< 3/2 or 3/2 <Y<2.
Edit intent: meaning-changed
Original:  In particular, a new type of transition phenomenon is uncovered in which the third order term exhibits two district asymptotic regimes depending on whether  1 <Y< 3/2 or 3/2 <Y<2.
Revised:  In particular, a new type of transition phenomenon is uncovered in which the third order term exhibits two district asymptotic regimes depending on whether 1 , 3/2 or 3/2 <Y<2.
Edit intent: meaning-changed
Original:  In particular, a new type of transition phenomenon is uncovered in which the third order term exhibits two district asymptotic regimes depending on whether  1 <Y< 3/2 or 3/2 <Y<2.
Revised:  In particular, a new type of transition phenomenon is uncovered in which the third order term exhibits two district asymptotic regimes depending on whether 1 <Y< 3/2 ) or Y\in( 3/2 <Y<2.
Edit intent: meaning-changed
Original:  In particular, a new type of transition phenomenon is uncovered in which the third order term exhibits two district asymptotic regimes depending on whether  1 <Y< 3/2 or 3/2 <Y<2.
Revised:  In particular, a new type of transition phenomenon is uncovered in which the third order term exhibits two district asymptotic regimes depending on whether 1 <Y< 3/2 or 3/2 ,2).
Edit intent: clarity
Original: The short-time asymptotic behavior of option prices for a variety of models with jumps has received much attention in recent years. In the present work, novel third-order approximations for close-to-the-money European option prices under an infinite-variation CGMY L\'{e}vy model are derived, and are then extended to a model with an additional independent Brownian component.
Revised: A third-order approximations for close-to-the-money European option prices under an infinite-variation CGMY L\'{e}vy model are derived, and are then extended to a model with an additional independent Brownian component.
Edit intent: clarity
Original:  In the present work, novel third-order approximations for close-to-the-money European option prices under an infinite-variation CGMY L\'{e}vy model are derived, and are then extended to a model with an additional independent Brownian component.
Revised:  In the present work, novel third-order approximation for close-to-the-money European option prices under an infinite-variation CGMY L\'{e}vy model are derived, and are then extended to a model with an additional independent Brownian component.
Edit intent: fluency
Original:  In the present work, novel third-order approximations for close-to-the-money European option prices under an infinite-variation CGMY L\'{e}vy model are derived, and are then extended to a model with an additional independent Brownian component.
Revised:  In the present work, novel third-order approximations for close-to-the-money European option prices under an infinite-variation CGMY L\'{e}vy model is derived, and are then extended to a model with an additional independent Brownian component.
Edit intent: fluency
Original:  In the present work, novel third-order approximations for close-to-the-money European option prices under an infinite-variation CGMY L\'{e}vy model are derived, and are then extended to a model with an additional independent Brownian component.
Revised:  In the present work, novel third-order approximations for close-to-the-money European option prices under an infinite-variation CGMY L\'{e}vy model are derived, and is then extended to a model with an additional independent Brownian component.
Edit intent: fluency
Original:  In particular, a new type of transition phenomenon is uncovered in which the third order term exhibits two distinct asymptotic regimes depending on whether Y\in(1,3/2) or Y\in(3/2,2)  .
Revised:  In particular, a new type of transition phenomenon is uncovered in which the third order term exhibits two distinct asymptotic regimes depending on whether Y\in(1,3/2) or Y\in(3/2,2) . Unlike second order approximations, the expansions herein are shown to be remarkably accurate so that they can actually be used for calibrating some model parameters. For illustration, we calibrate the volatility \sigma of the Brownian component and the jump intensity C of the CGMY model to actual option prices .
Edit intent: meaning-changed
Original:  One component is responsible for the source and sink of the folding flows (representing, respectively, the unfolded states and the native state of the protein ) , and the other  accounts for the vorticity of the flow that is produced at the boundaries of the main flow by the contact of the moving folding "fluid" with the quiescent surroundings .
Revised:  One component is responsible for the source and sink of the folding flows , which represent, respectively, the unfolded states and the native state of the protein ) , and the other accounts for the vorticity of the flow that is produced at the boundaries of the main flow by the contact of the moving folding "fluid" with the quiescent surroundings .
Edit intent: clarity
Original:  One component is responsible for the source and sink of the folding flows (representing, respectively, the unfolded states and the native state of the protein ) , and the other  accounts for the vorticity of the flow that is produced at the boundaries of the main flow by the contact of the moving folding "fluid" with the quiescent surroundings .
Revised:  One component is responsible for the source and sink of the folding flows (representing, respectively, the unfolded states and the native state of the protein , and the other accounts for the vorticity of the flow that is produced at the boundaries of the main flow by the contact of the moving folding "fluid" with the quiescent surroundings .
Edit intent: fluency
Original:  One component is responsible for the source and sink of the folding flows (representing, respectively, the unfolded states and the native state of the protein ) , and the other  accounts for the vorticity of the flow that is produced at the boundaries of the main flow by the contact of the moving folding "fluid" with the quiescent surroundings .
Revised:  One component is responsible for the source and sink of the folding flows (representing, respectively, the unfolded states and the native state of the protein ) , and the other , which accounts for the vorticity of the flow that is produced at the boundaries of the main flow by the contact of the moving folding "fluid" with the quiescent surroundings .
Edit intent: coherence
Original:  One component is responsible for the source and sink of the folding flows (representing, respectively, the unfolded states and the native state of the protein ) , and the other  accounts for the vorticity of the flow that is produced at the boundaries of the main flow by the contact of the moving folding "fluid" with the quiescent surroundings .
Revised:  One component is responsible for the source and sink of the folding flows (representing, respectively, the unfolded states and the native state of the protein ) , and the other accounts for the flow vorticity inherently generated at the periphery of the flow that is produced at the boundaries of the main flow by the contact of the moving folding "fluid" with the quiescent surroundings .
Edit intent: meaning-changed
Original:  One component is responsible for the source and sink of the folding flows (representing, respectively, the unfolded states and the native state of the protein ) , and the other  accounts for the vorticity of the flow that is produced at the boundaries of the main flow by the contact of the moving folding "fluid" with the quiescent surroundings .
Revised:  One component is responsible for the source and sink of the folding flows (representing, respectively, the unfolded states and the native state of the protein ) , and the other accounts for the vorticity of the flow field, is responsible for the canalization of the flow between the source and sink .
Edit intent: clarity
Original:  Our model predicts that the rate of aging, defined by the Gompertz coefficient, is  proportional to the average number of active interactions per gene in the network and that stochastic heterogeneity of gene interactions is an important factor in shaping the dynamics of the aging process.
Revised:  Our model predicts that the rate of aging, defined by the Gompertz coefficient, is approximately proportional to the average number of active interactions per gene in the network and that stochastic heterogeneity of gene interactions is an important factor in shaping the dynamics of the aging process.
Edit intent: clarity
Original:  Our model predicts that the rate of aging, defined by the Gompertz coefficient, is  proportional to the average number of active interactions per gene in the network and that stochastic heterogeneity of gene interactions is an important factor in shaping the dynamics of the aging process.
Revised:  Our model predicts that the rate of aging, defined by the Gompertz coefficient, is proportional to the average number of active interactions per gene and that the stochastic heterogeneity of gene interactions is an important factor in shaping the dynamics of the aging process.
Edit intent: clarity
Original:  Our model predicts that the rate of aging, defined by the Gompertz coefficient, is  proportional to the average number of active interactions per gene in the network and that stochastic heterogeneity of gene interactions is an important factor in shaping the dynamics of the aging process.
Revised:  Our model predicts that the rate of aging, defined by the Gompertz coefficient, is proportional to the average number of active interactions per gene in the network and that stochastic heterogeneity of gene interactions is an important factor in the dynamics of the aging process.
Edit intent: clarity
Original:  We study how such options can be valued in terms of simple vanilla options in different market models. We consider different approaches and derive several pricing formulas for a wide class of functions h:%DIFDELCMD < \R%%% _+^n\rightarrow%DIFDELCMD < \R%%% . We also give multidimensional version of the result of Breeden and Litzenberger Breeden on the relation between derivatives of the call price and the risk-neutral density of the underlying asset  .
Revised:  We %DIFDELCMD < \R%%% _+^n\rightarrow%DIFDELCMD < \R%%% . We also give multidimensional version of the result of Breeden and Litzenberger Breeden on the relation between derivatives of the call price and the risk-neutral density of the underlying asset .
Edit intent: clarity
Original:  We consider different approaches and derive several pricing formulas for a wide class of functions h:%DIFDELCMD < \R%%% _+^n\rightarrow%DIFDELCMD < \R%%% . We also give multidimensional version of the result of Breeden and Litzenberger Breeden on the relation between derivatives of the call price and the risk-neutral density of the underlying asset  .
Revised:  We consider different approaches and derive several pricing formulas for a wide class of functions h:%DIFDELCMD < \R%%% %DIFDELCMD < \R%%% . We also give multidimensional version of the result of Breeden and Litzenberger Breeden on the relation between derivatives of the call price and the risk-neutral density of the underlying asset .
Edit intent: meaning-changed
Original:  We consider different approaches and derive several pricing formulas for a wide class of functions h:%DIFDELCMD < \R%%% _+^n\rightarrow%DIFDELCMD < \R%%% . We also give multidimensional version of the result of Breeden and Litzenberger Breeden on the relation between derivatives of the call price and the risk-neutral density of the underlying asset  .
Revised:  We consider different approaches and derive several pricing formulas for a wide class of functions h:%DIFDELCMD < \R%%% _+^n\rightarrow%DIFDELCMD < \R%%% give a multidimensional version of the result of Breeden and Litzenberger Breeden on the relation between derivatives of the call price and the risk-neutral density of the underlying asset .
Edit intent: coherence
Original:  We consider different approaches and derive several pricing formulas for a wide class of functions h:%DIFDELCMD < \R%%% _+^n\rightarrow%DIFDELCMD < \R%%% . We also give multidimensional version of the result of Breeden and Litzenberger Breeden on the relation between derivatives of the call price and the risk-neutral density of the underlying asset  .
Revised:  We consider different approaches and derive several pricing formulas for a wide class of functions h:%DIFDELCMD < \R%%% _+^n\rightarrow%DIFDELCMD < \R%%% . We also give multidimensional version of the result of Breeden and Litzenberger Breeden on the relation between derivatives of the call price and the risk-neutral density of the underlying asset . The pricing measure is assumed to be absolutely continuous with respect to the Lebesgue measure on the state space .
Edit intent: meaning-changed
Original: By means of a novel version of the Continuous-Time Random Walk (CTRW) model with memory , we describe, for instance, the stochastic process of a single share price on a double-auction market within the high frequency time scale.
Revised: A novel version of the Continuous-Time Random Walk (CTRW) model with memory , we describe, for instance, the stochastic process of a single share price on a double-auction market within the high frequency time scale.
Edit intent: clarity
Original: By means of a novel version of the Continuous-Time Random Walk (CTRW) model with memory , we describe, for instance, the stochastic process of a single share price on a double-auction market within the high frequency time scale. The memory present in the model is understood as dependence between successive share price jumps , while waiting times between price changes are considered as i.i.d. random variables.
Revised: By means of a novel version of the Continuous-Time Random Walk (CTRW) model with memory is developed. This memory means the dependence between arbitrary number of successive jumps of the process , while waiting times between price changes are considered as i.i.d. random variables.
Edit intent: clarity
Original:  The range of this memory is defined herein by dependence between three successive jumps of the process. This dependence is motivated both empirically, by analysis of empirical two-point histograms , and theoretically, by analysis of the bid-ask bounce mechanism containing some delay  .
Revised:  The dependence was found by analysis of empirical two-point histograms , and theoretically, by analysis of the bid-ask bounce mechanism containing some delay .
Edit intent: clarity
Original:  This dependence is motivated both empirically, by analysis of empirical two-point histograms , and theoretically, by analysis of the bid-ask bounce mechanism containing some delay  .
Revised:  This dependence is motivated both empirically, by analysis of empirical histograms for the stochastic process of a single share price on a market within the high frequency time scale, and justified theoretically by considering bid-ask bounce mechanism containing some delay .
Edit intent: meaning-changed
Original:  Our model turns out to be  analytically solvable, which enables a direct comparison of its predictions with  empirical counterparts, for instance, with so significant and commonly used quantity as a velocity autocorrelation function.
Revised:  Our model turns out to be exactly analytically solvable, which enables a direct comparison of its predictions with empirical counterparts, for instance, with so significant and commonly used quantity as a velocity autocorrelation function.
Edit intent: meaning-changed
Original:  Our model turns out to be  analytically solvable, which enables a direct comparison of its predictions with  empirical counterparts, for instance, with so significant and commonly used quantity as a velocity autocorrelation function.
Revised:  Our model turns out to be analytically solvable, which enables a direct comparison of its predictions with their empirical counterparts, for instance, with so significant and commonly used quantity as a velocity autocorrelation function.
Edit intent: fluency
Original: In this article, we study the problem of pricing defaultable bond with discrete default intensity , discrete default barrier and exogenous default recovery. The motivation is the fact that the investor outside of the firm can know the firm information like default barrier only in some discrete dates such as announcing dates of firm management information and the credit rating of the firm that reflects the default intensity is generally not changed between the two adjacent announcing dates. In our model, the risk free short rate follows a generalized Hull-White model.
Revised: In this article, we study the problem of pricing defaultable bond with discrete default intensity and barrier where the 2 factors are stochastic risk free short rate follows a generalized Hull-White model.
Edit intent: meaning-changed
Original:  In our model, the risk free short rate follows a generalized Hull-White model. The default event occurs in an expected or unexpected manner when the firm value reaches a certain lower threshold - the default barrier at predetermined discrete announcing dates or  at the first jump time of a Poisson process with given default intensity , respectively .
Revised:  In our model, the risk free short rate process and firm value process. We assume that the default event occurs in an expected or unexpected manner when the firm value reaches a certain lower threshold - the default barrier at predetermined discrete announcing dates or at the first jump time of a Poisson process with given default intensity , respectively .
Edit intent: clarity
Original:  The default event occurs in an expected or unexpected manner when the firm value reaches a certain lower threshold - the default barrier at predetermined discrete announcing dates or  at the first jump time of a Poisson process with given default intensity , respectively .
Revised:  The default event occurs in an expected manner when the firm value reaches a certain lower threshold - the default barrier at predetermined discrete announcing dates or at the first jump time of a Poisson process with given default intensity , respectively .
Edit intent: clarity
Original:  The default event occurs in an expected or unexpected manner when the firm value reaches a certain lower threshold - the default barrier at predetermined discrete announcing dates or  at the first jump time of a Poisson process with given default intensity , respectively .
Revised:  The default event occurs in an expected or unexpected manner when the firm value reaches a given default barrier at predetermined discrete announcing dates or at the first jump time of a Poisson process with given default intensity , respectively .
Edit intent: clarity
Original:  The default event occurs in an expected or unexpected manner when the firm value reaches a certain lower threshold - the default barrier at predetermined discrete announcing dates or  at the first jump time of a Poisson process with given default intensity , respectively .
Revised:  The default event occurs in an expected or unexpected manner when the firm value reaches a certain lower threshold - the default barrier at predetermined discrete announcing dates or in an unexpected manner at the first jump time of a Poisson process with given default intensity , respectively .
Edit intent: coherence
Original:  The default event occurs in an expected or unexpected manner when the firm value reaches a certain lower threshold - the default barrier at predetermined discrete announcing dates or  at the first jump time of a Poisson process with given default intensity , respectively .
Revised:  The default event occurs in an expected or unexpected manner when the firm value reaches a certain lower threshold - the default barrier at predetermined discrete announcing dates or at the first jump time of a Poisson process with given default intensity given by a step function of time variable .
Edit intent: meaning-changed
Original:  Our main method to give the pricing of defaultable bonds is to transform several PDEs for pricing in every subinterval between the two adjacent announcing dates into a pricing problem of a higher order binary option using several changes of variable and unknown function including change of numeraire and then to use the pricing  formulae of higher binary options  .
Revised:  Our main approach is to use higher order binaries. We first provide the pricing formulae of higher binary options .
Edit intent: clarity
Original:  Our main method to give the pricing of defaultable bonds is to transform several PDEs for pricing in every subinterval between the two adjacent announcing dates into a pricing problem of a higher order binary option using several changes of variable and unknown function including change of numeraire and then to use the pricing  formulae of higher binary options  .
Revised:  Our main method to give the pricing of defaultable bonds is to transform several PDEs for pricing in every subinterval between the two adjacent announcing dates into a pricing problem of a higher order binary option using several changes of variable and unknown function including change of numeraire and then to use the pricing formulae of higher order binaries with time dependent coefficients and consider their integrals on the last expiry date variable. Then using the pricing formulae of higher binary options .
Edit intent: meaning-changed
Original:  Our main method to give the pricing of defaultable bonds is to transform several PDEs for pricing in every subinterval between the two adjacent announcing dates into a pricing problem of a higher order binary option using several changes of variable and unknown function including change of numeraire and then to use the pricing  formulae of higher binary options  .
Revised:  Our main method to give the pricing of defaultable bonds is to transform several PDEs for pricing in every subinterval between the two adjacent announcing dates into a pricing problem of a higher order binary option using several changes of variable and unknown function including change of numeraire and then to use the pricing formulae of higher binary options and their integrals, we give the pricing formulae of defaultable bonds in both cases of exogenous and endogenous default recoveries and credit spread analysis .
Edit intent: meaning-changed