We show that the problem of existence of equilibrium in Kyle's continuous time insider trading model ([31]) can be tackled by considering a system of quasilinear parabolic equation and a Fokker-Planck equation coupled via a transport type constraint. By obtaining a stochastic representation for the solution of such a system, we show the well-posedness of solutions and study the properties of the equilibrium obtained for small enough risk aversion parameter. In our model, the insider has exponential type utility and the belief of the market on the distribution of the price at final time can be non-Gaussian.

Aim: The aim of the present study was to analyze the morphological variations and complexities in root canal systems of the maxillary second molars in South Indian population, using cone beam computed tomography (CBCT). Subjects and Methods: The CBCT images of 500 participants were examined at different slice thickness of 125 micrometers. Root canal systems of the 500 maxillary second molars were analyzed according to Vertucci, HMA Ahmed et al., and Kim et al. classifications in the Indian subpopulation. Statistical Analysis Used: Interobserver variability was analyzed using Kappa statistics. Results: Among the tooth analyzed, 63% had three roots, with a single canal in each root in 65.2% tooth. About 41.8% of the tooth had fusion of mesiobuccal and distobuccal roots. The most commonly found root canal configuration was Type I (65%) according to Vertucci's classification. According to HMA Ahmed et al. classification, 67.9% tooth had the configuration of 327 MB1 DB1 P1/317 MB1 DB1 P1. Nearly 20.8% tooth had MB2 canal. The most common isthmus type was Type II (55.2%) according to Kim's classification, and the prevalence of isthmus was 2–5 mm from the root apex. Conclusions: The number of roots, canals, their configuration, and occurrence of isthmus has not been reported in the South Indian population. The importance of understanding the knowledge of the anatomy of teeth during the treatment of maxillary second molars would contribute to successful endodontic outcomes.

This study examines the dynamic linkages of Nifty stock index and Nifty index futures contract traded on the home market, National Stock Exchange (NSE) and on the off-shore market, Singapore Stock Exchange (SGX). The study uses daily closing prices of the Nifty index and the Nifty futures contract traded on both the exchanges for the period July 15, 2010 to July 15, 2016.  The study finds a causality running from the returns of the spot market to the returns from the Nifty futures market in both the exchanges, NSE and SGX, with the help of Vector Error Correction model and Granger causality test. Variance Decomposition and Impulse Response Analysis also confirm that the spot market is the leading market in price discovery, making it the most efficient amongst others.

This paper investigates the hedging effectiveness of cross-listed Nifty Index futures and compares the performance of constant and dynamic optimal hedging strategies. We use daily data of Nifty index traded on the National Stock Exchange (NSE), India and cross-listed Nifty futures traded on the Singapore Stock Exchange (SGX) for a period of six years from July 15, 2010 to July 15, 2016. Various competing forms of Multivariate Generalised Autoregressive Conditional Heteroscedasticity (MGARCH) models, such as Constant Conditional Correlation (CCC) and Dynamic Conditional Correlation (DCC), have been employed to capture the time-varying volatility. The results clearly depict that dynamic hedge ratios outperform traditional constant hedge ratios with the DCC–GARCH model being the most efficient with maximum variance reduction from the unhedged portfolio.

We study the continuous time Kyle-Back model with a risk averse informed trader. We show that in a market with multiple assets and non-Gaussian prices an equilibrium exists. The equilibrium is constructed by considering a Fokker-Planck equation and a system of partial differential equations that are coupled with an optimal transport type constraint at maturity.