PIDE and Solution Related to Pricing of Lévy Driven Arithmetic Type Floating Asian Options

We propose a stochastic model to develop a pricing partial integro-differential equation (PIDE) and its Fourier transform expression for floating Asian options based on the Itô-Lévy calculus. The stock price is driven by a class of infinite activity Lévy processes leading to the market inherently incomplete, and dynamic hedging is no longer risk free. We first develop a PIDE for floating Asian options, and apply the Fourier transform to derive a pricing expression. Our main contribution is to develop a PIDE with its closed form pricing expression for the contract. The procedure is easy to implement for all class of Lévy processes. Finally, the model is calibrated with the market data and its accuracy is presented.     

Syntheses, X-ray crystal structures, DNA binding, oxidative cleavage activities and antimicrobial studies of two Cu(II) hydrazone complexes

From a mononuclear Cu(II)-hydrazone complex [Cu(PBH)₂] (1), one μ_1,1-azido bridged dinuclear Cu(II) complex having the formula [{Cu(PBH)(μ_1,1-NNN)}₂] (2) (where HPBH = 2-pyridinecarboxaldehyde benzoyl hydrazone) has been synthesised. Both the complexes are characterised by elemental analyses, IR and UV–Vis spectroscopic studies. The tridentate hydrazone pro-ligand (HPBH) is obtained by the condensation of benzhydrazide and pyridine-2-carboxaldehyde. The structures of the complexes have conclusively been established by the X-ray single crystal diffraction method. Complex 1 and 2 both display DNA binding ability, which is ascertained by UV–Vis titration and cyclic voltammetric studies using calf thymus DNA (CT-DNA). The apparent binding constants (K_app) are of moderate values and are 2.048 × 10⁴ M⁻¹ (±0.006) and 1.644 × 10⁴ M⁻¹ (±0.005), respectively. The modes of binding of the complexes with CT-DNA has been investigated using circular dichroism, ethidium bromide displacement assay and viscosity measurements. The cleavage properties of these complexes as well as the free pro-ligand with super coiled (SC) pUC19 are studied using the gel electrophoresis method, where both the complexes displayed chemical nuclease activity in the presence of H₂O₂ via an oxidative mechanism. The antimicrobial study using the free pro-ligand, 1 and 2 against both Gram positive and Gram negative bacteria are performed, 2 showed antimicrobial activity against both Gram negative and Gram positive bacteria whereas the free ligand and 1 show no antibacterial activity.     

Multinomial Distribution,Quantum Statistics and Einstein-Podolsky-Rosen Like Phenomena

Bose-Einstein statistics may be characterized in terms of multinomial distribution. From this characterization, an information theoretic analysis is made for Einstein-Podolsky-Rosen like situation; using Shannon’s measure of entropy.     

Bootstrap of deviation probabilities with applications

We show that under different moment bounds on the underlying variables, bootstrap approximation to the large deviation probabilities of standardized sample sum, based on independent random variables, is valid for a wider zone of n, the sample size, compared to the classical normal tail probability approximation. As an application, different notions of efficiency for statistical tests are considered from Bayesian point of view. In particular, efficiency due to Pitman (1938) [11], Chernoff (1952) [1], and Bayes risk efficiency due to Rubin and Sethuraman (1965) [12] turn out to be special cases with the choice of the weight function; i.e., prior density times loss.     

Xylostosidine: The First of a New Class of Monoterpene Alkaloid Glycosides from Lonicera XylosteumL

The structure of xylostosidine (1) , a novel sulfur-containing monoterpene alkaloid glucoside, is presented.     

Camptothecin and its analogues: a review on their chemotherapeutic potential

Topoisomerase I (Topo-I) is a major target for anticancer drug discovery and design. As a result, Topo-I inhibitors constitute an important class of the current anticancer drugs. To date, all of the Topo-I inhibitors that have been clinically evaluated are analogues of camptothecin (CPT), an extract of the Chinese tree Camptotheca acuminata. CPT has shown significant antitumor activity to lung, ovarian, breast, pancreas and stomach cancers. In this article the, phytochemical aspect, and various structural modifications are comprehensively reviewed as in rings A, B, C, D and E. Biological activity of camptothecin, other than anticancer, reported till the year 2003 has also been discussed.     

Parallel algorithms for analyzing activity networks

Parallel algorithms for analyzing activity networks are proposed which include feasibility test, topological ordering of the events, and computing the earliest and latest start times for all activities and hence identification of the critical activities of the activity network. The first two algorithms haveO(logn) time complexity and the remaining one achievesO(logd log logn) time bound, whered is the diameter of the digraph representing the activity network withn nodes. All these algorithms work on a CRCW PRAM and requireO(n ³) processors.     

Dynamical deformations of the electron density in an H2 molecule under strong,oscillating magnetic fields: an application of time-dependent quantum fluid density functional theory

Following the time-dependent quantum fluid density functional theory developed in our laboratory, the present quantum-mechanical, dynamical study of the H₂ molecule under strong, oscillating magnetic fields reveals a coexistence of both slow and fast dynamics, as seen earlier in the cases of hydrogen and helium atoms. Using the Deb–Chattaraj equation of motion we find that, contrary to the situation with static magnetic fields, the electron density now transiently expands. Consequently, the fate of the H–H bond under such strong TD magnetic fields has been addressed through detailed and accurate TD density profiles computed by direct numerical solution of the real-time evolution equation. A detailed interpretation of the slow dynamics has been made.     

Structural Analysis of Eukovoside,A New Phenylpropanoid Glycoside from Euphrasia rostkoviana HAYNE

The isolation and structure determination of a phenylpropanoid glycoside from Euphrasia rostkoviana HAYNE, named eukovoside (1). are reported.