Showing 1 - 10 of 123
We report on the adequacy of using Sato processes to value equity structured products. In models used to price options on realized variance, the latter must be a random variable with a positive variance. An analysis of this variance of realized variance for Sato processes shows that these...
Persistent link: https://www.econbiz.de/10005495780
Static and discrete time pricing operators for two price economies are reviewed and then generalized to the continuous time setting of an underlying Hunt process. The continuous time operators define nonlinear partial integro–differential equations that are solved numerically for the three...
Persistent link: https://www.econbiz.de/10010989123
Index option pricing on world market indices are investigated using Levy processes with no positive jumps. Economically this is motivated by the possible absence of longer horizon short positions while mathematically we are able to evaluate for such processes the probability of a rally before a...
Persistent link: https://www.econbiz.de/10008609610
The concept of the gamma of a financed return as the highest level of stress that a return distribution can withstand is introduced. Stress is measured by positive expectation under a concave distortion of the return distribution accessed. Four distortions introduced in Cherny and Madan (2008)...
Persistent link: https://www.econbiz.de/10005006751
When firms access unbounded liability exposures and are granted limited liability, then an all equity firm holds a call option, whereby it receives a free option to put losses back to the taxpayers. We call this option the taxpayer put, where the strike is the negative of the level of reserve...
Persistent link: https://www.econbiz.de/10010606735
Models driven by Levy processes are attractive since they allow for better statistical fitting than classical diffusion models. The dynamics of the forward swap rate process is derived in a semimartingale setting and a Levy swap market model is introduced. In order to guarantee positive rates,...
Persistent link: https://www.econbiz.de/10005279061
Time consistency of the models used is an important ingredient to improve risk management. The empirical investigation in this article gives evidence for some models driven by Levy processes to be highly consistent. This means that they provide a good statistical fit of empirical distributions...
Persistent link: https://www.econbiz.de/10009215083
In this paper we consider the valuation of an option with time to expiration $T$ and pay-off function $g$ which is a convex function (as is a European call option), and constant interest rate $r$, in the case where the underlying model for stock prices $(S_t)$ is a purely discontinuous process...
Persistent link: https://www.econbiz.de/10005390676
The Lévy term structure model due to Eberlein and Raible is extended to non-homogeneous driving processes. The classes of equivalent martingale and local martingale measures for various filtrations are characterized. It turns out that in a number of standard situations the martingale measure is...
Persistent link: https://www.econbiz.de/10005390742
The Levy Libor or market model which was introduced in Eberlein and Ozkan (The Levy Libor model. Financ. Stochast., 2005, 9, 327-348) is extended to a multi-currency setting. As an application we derive closed form pricing formulas for cross-currency derivatives. Foreign caps and floors and...
Persistent link: https://www.econbiz.de/10005462640