We present a simple rational approximation to the solution of the rough Heston Riccati equation valid in a region of its domain relevant to option valuation. Pricing under rough Heston using this approximation is both fast and very accurate

From an analysis of the time series of volatility using recent high frequency data, Gatheral, Jaisson and Rosenbaum previously showed that log-volatility behaves essentially as a fractional Brownian motion with Hurst exponent H of order 0.1, at any reasonable time scale. The resulting Rough...

We use the Itô Decomposition Formula (see Alòs (2012)) to express certain conditional expectations as exponentials of iterated integrals. As one application, we compute an exact formal expression for the leverage swap for any stochastic volatility model expressed in forward variance form. As...

Commodity prices again! The twentieth century has only been the latest spectator to the impacts and importance of commodity price fluctuations. It is reasonably well known that commodity price records have come down to us from the ancient civilizations of India, Mesopotamia, Egypt, Greece and...

Research and Science Today Journal is a publication founded in 2011 and it is dedicated to the students of all levels (license, master and doctoral) of faculties in the country and abroad. We want to offer the participants the opportunity to present their scientific works in the following areas:...

The article is dedicated to the questions of cost modeling on the basis of the Petri nets in order to exposure the inconsistency and duplication of operations that make business-processes, and also rational sequence of their implementation. As a result it helps to reduce combined value of...

Commodity prices again! The twentieth century has only been the latest spectator to the impacts and importance of commodity price fluctuations. It is reasonably well known that commodity price records have come down to us from the ancient civilizations of India, Mesopotamia, Egypt, Greece and...

Risk attitude and perception is reflected in brain reactions during RPID experiments. Given the fMRI data, an important research question is how to detect risk related regions and to investigate the relation between risk preferences and brain activity. Conventional methods are often insensitive...

Decision making can be a complex process requiring the integration of several attributes of choice options. Understanding the neural processes underlying (uncertain) investment decisions is an important topic in neuroeconomics. We analyzed functional magnetic resonance imaging (fMRI) data from...

Risk attitude and perception is reflected in brain reactions during RPID experiments. Given the fMRI data, an important research question is how to detect risk related regions and to investigate the relation between risk preferences and brain activity. Conventional methods are often insensitive...