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  • 1
    Online Resource
    Online Resource
    [S.l.] : SSRN
    UID:
    (DE-627)1781707898
    Format: 1 Online-Ressource (11 p)
    Content: In this paper, we provided an analytical representation of the price of a barrier option with one type of special moving barrier. We consider the case that risk free rate, dividend rate and stock volatility are time dependent. We get a pricing formula and put call parity for barrier option when the moving barrier has a special relation with risk free rate, dividend rate and stock volatility
    Note: Nach Informationen von SSRN wurde die ursprüngliche Fassung des Dokuments 2004 erstellt
    Language: Undetermined
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  • 2
    UID:
    (DE-627)1781709254
    Format: 1 Online-Ressource (35 p)
    Content: Here we provide analytical pricing formula of corporate defaultable bond with both expected and unexpected default in the case with stochastic default intensity. In the case with constant short rate and exogenous default recovery using PDE method, we gave some pricing formula of the defaultable bond under the conditions that 1)expected default recovery is the same with unexpected default recovery; 2) default intensity follows one of 3 special cases of Wilmott model; 3) default intensity is uncorrelated with firm value. Then we derived a price formula of a credit default swap. And in the case of stochastic short rate and exogenous default recovery using PDE method, we gave some pricing formula of the defaultable bond under the conditions that 1) expected default recovery is the same with unexpected default recovery; 2) the short rate follows Vasicek model; 3) default intensity follows one of 3 special cases of Wilmott model; 4) default intensity is uncorrelated with firm value; 5) default intensity is uncorrelated with short rate. Then we derived a price formula of a credit default swap. We give some credit spread analysis, too
    Note: Nach Informationen von SSRN wurde die ursprüngliche Fassung des Dokuments April 2005 erstellt
    Language: Undetermined
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  • 3
    Online Resource
    Online Resource
    [S.l.] : SSRN
    UID:
    (DE-627)1781163103
    Format: 1 Online-Ressource (16 p)
    Content: In this paper we extend Buchen's method to develop a new technique for pricing of some exotic options with several expiry dates (more than 3 expiry dates) using a concept of higher order binary option. At first we introduce the concept of higher order binary option and then provide the pricing formulae of n-th order binaries using PDE method. After that, we apply them to get the pricing of some multiple-expiry exotic options such as Bermudan option, multi time extendable option, multiple shout option and etc. Here, when calculating the price of concrete multiple-expiry exotic options, we do not try to get the formal solution to corresponding initial-boundary problem of the Black-Scholes equation, but explain how to express the expiry payoffs of the exotic options as a combination of the payoffs of some class of higher order binary options. Once the expiry payoffs are expressed as a linear combination of the payoffs of some class of higher order binary options, in order to avoid arbitrage, the exotic option prices are obtained by static replication with respect to this family of higher order binaries
    Note: In: Electronic Journal of Mathematical Analysis and Applications, Vol.1(2) July 2013, pp.247-259 , Nach Informationen von SSRN wurde die ursprüngliche Fassung des Dokuments 2004 erstellt
    Language: Undetermined
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  • 4
    UID:
    (DE-627)179249789X
    Format: 1 Online-Ressource (26 p)
    Content: We provide representations of solutions to terminal value problems of inhomogeneous Black-Scholes equations and studied such general properties as min-max estimates, gradient estimates, monotonicity and convexity of the solutions with respect to the stock price variable, which are important for financial security pricing. In particular, we focus on finding representation of the gradient (with respect to the stock price variable) of solutions to the terminal value problems with discontinuous terminal payoffs or inhomogeneous terms. Such terminal value problems are often encountered in pricing problems of compound-like options such as Bermudan options or defaultable bonds with discrete default barrier, default intensity and endogenous default recovery. Our results are applied in pricing defaultable discrete coupon bonds
    Note: Nach Informationen von SSRN wurde die ursprüngliche Fassung des Dokuments August 28, 2013 erstellt
    Language: English
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  • 5
    UID:
    (DE-627)1792497938
    Format: 1 Online-Ressource (19 p)
    Content: The aim of this paper is to generalize the comprehensive structural model for defaultable fixed income bonds (considered in) into a comprehensive unified model of structural and reduced form models. In our model the bond holders receive the deterministic coupon at predetermined coupon dates and the face value (debt) and the coupon at the maturity as well as the effect of government taxes which are paid on the proceeds of an investment in bonds is considered under constant short rate. The expected default event occurs when the equity value is not enough to pay coupon or debt at the coupon dates or maturity and unexpected default event can occur at any time interval with the probability of given default intensity (provided by a step function of time variable) multiplied by the length of the time interval. We consider the model and pricing formula for equity value and using it calculate expected default barrier. Then We provide pricing model and formula for defaultable corporate bonds with discrete coupons, and consider the duration and the effect of the government taxes
    Note: Nach Informationen von SSRN wurde die ursprüngliche Fassung des Dokuments September 21, 2013 erstellt
    Language: English
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  • 6
    Book
    Book
    [Pʿyŏngyang] : Chosŏn Chʿulpʿanmul Suchʿuripsa
    UID:
    (DE-627)658117076
    Format: 103 p
    ISBN: 9789946290485
    Note: In korean. Schr.
    Language: Korean
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  • 7
    UID:
    (DE-627)1792476388
    Format: 1 Online-Ressource (19 p)
    Content: 可以發現,中國版本的這篇文章:'http://ssrn.com/abstract=731544' http://ssrn.com/abstract=731544.The change of numeraire gives very important computational simplification in option pricing. This technique reduces the number of sources of risks that need to be accounted for and so it is useful in pricing complicated derivatives that have several sources of risks. In this article, we considered the underlying mathematical theory of numeraire technique in the viewpoint of PED theory and illustrated it with five concrete pricing problems. In the viewpoint of PED theory, the numeraire technique is a method of reducing the dimension of status spaces where PDE is defined
    Note: Nach Informationen von SSRN wurde die ursprüngliche Fassung des Dokuments October 30, 2013 erstellt
    Language: English
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  • 8
    UID:
    (DE-627)179249033X
    Format: 1 Online-Ressource (12 p)
    Content: We study the pricing problem for corporate defaultable bond from the viewpoint of the investors outside the firm that could not exactly know about the information of the firm. We consider the problem for pricing of corporate defaultable bond in the case when the firm value is only declared in some fixed discrete time and unexpected default intensity is determined by the declared firm value. Here we provide a partial differential equation model for such a defaultable bond and give its pricing formula. Our pricing model is derived to solving problems of partial differential equations with random constants (default intensity) and terminal values of binary types. Our main method is to use the solving method of a partial differential equation with a random constant in every subinterval and to take expectation to remove the random constants
    Note: In: Electronic Journal of Mathematical Analysis and Applications, Vol. 2(1), January 2014, 1-11 , Nach Informationen von SSRN wurde die ursprüngliche Fassung des Dokuments July 1, 2013 erstellt
    Language: English
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  • 9
    UID:
    (DE-627)1781709262
    Format: 1 Online-Ressource (14 p)
    Content: We study the pricing problem for corporate defaultable bond from the viewpoint of the investors outside the firm that could not exactly know about the information of firm. We consider the pricing of corporate defaultable bond in the case that the firm value and default barrier just can be observed in some fixed discrete time and unexpected default intensity is determined by the declared firm value. Here we provide a PDE model for such a defaultable bond and give some pricing formula of the defaultable bond. Our pricing model is derived to a solving problem of PDE with random constant default intensity and binary terminal value. Our main method is to use the solving method of PDE for bond pricing with constant default intensity in every subinterval and to take expectation to remove some random constants. Our PDE model has no any affine structural solution and we find its solution using Fourier transformation method
    Note: Nach Informationen von SSRN wurde die ursprüngliche Fassung des Dokuments April 2005 erstellt
    Language: Undetermined
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  • 10
    UID:
    (DE-627)178116309X
    Format: 1 Online-Ressource (22 p)
    Content: 计价单位变换在期权定价问题的计算上给了很重要的简单化。用这个方法可以减少要考虑的风险源个数,于是它在具有多个风险源复杂的衍生证券定价上很有用。在这篇文章中,我们在 PDE 理论观点之下研究计价单位方法的数学理论并且举 5 个典型而具体的例子来说明它。在 PDE 理论观点上,计价单位方法是个减少 PDE 被定义的区域维数的方法.The change of numeraire gives very important computational simplification in option pricing. This technique reduces the number of sources of risks that need to be accounted for and so it is useful in pricing complicated derivatives that have several sources of risks. In this article, we considered the underlying mathematical theory of numeraire technique in the viewpoint of PED theory and illustrated it with five concrete pricing problems. In the viewpoint of PED theory, the numeraire technique is a method of reducing the dimension of status spaces where PDE is defined
    Note: Nach Informationen von SSRN wurde die ursprüngliche Fassung des Dokuments February 1, 2005 erstellt
    Language: Undetermined
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