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In this paper we have devised an alternative methodological approach for quantifying utility in terms of expected information content of the decision-maker's choice set. We have proposed an extension to the concept of utility by…

General Mathematics · Mathematics 2007-05-23 M. Khoshnevisan , Sukanto Bhattacharya , Florentin Smarandache

We discuss utility based pricing and hedging of jump diffusion processes with emphasis on the practical applicability of the framework. We point out two difficulties that seem to limit this applicability, namely drift dependence and…

Computational Finance · Quantitative Finance 2012-12-05 Jochen Zahn

We consider the problem of exponential utility indifference valuation under the simplified framework where traded and nontraded assets are uncorrelated but where the claim to be priced possibly depends on both. Traded asset prices follow a…

Pricing of Securities · Quantitative Finance 2013-07-18 Giuseppe Benedetti , Luciano Campi

The aim of this short note is to present a solution to the discrete time exponential utility maximization problem in a case where the underlying asset has a multivariate normal distribution. In addition to the usual setting considered in…

Mathematical Finance · Quantitative Finance 2023-06-27 Yan Dolinsky , Or Zuk

A homogeneously saturated equation for the time development of the price of a financial asset is presented and investigated for the pricing of European call options using noise that is distributed as a Student's t-distribution. In the limit…

Pricing of Securities · Quantitative Finance 2013-01-25 Daniel T. Cassidy

This paper considers exponential utility indifference pricing for a multidimensional non-traded assets model, and provides two linear approximations for the utility indifference price. The key tool is a probabilistic representation for the…

Portfolio Management · Quantitative Finance 2014-04-01 Vicky Henderson , Gechun Liang

We consider a subclass of Horndeski theories for studying cosmic inflation. In particular, we investigate models of inflation in which the derivative self-interaction of the scalar field and the non-minimal derivative coupling to gravity…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Gansukh Tumurtushaa

This paper considers the case of pricing discretely-sampled variance swaps under the class of equity-interest rate hybridization. Our modeling framework consists of the equity which follows the dynamics of the Heston stochastic volatility…

Pricing of Securities · Quantitative Finance 2020-04-14 Teh Raihana Nazirah Roslan , Wenjun Zhang , Jiling Cao

We analyze the relative price change of assets starting from basic supply/demand considerations subject to arbitrary motivations. The resulting stochastic differential equation has coefficients that are functions of supply and demand. We…

Theoretical Economics · Economics 2020-08-26 Carey Caginalp , Gunduz Caginalp

Classical asset pricing relies on the risk-neutral measure $Q$ for valuation, yet its economic interpretation is typically anchored in a physical measure $P$. This creates an inherent asymmetry: pricing is governed by $Q$, while meaning…

Mathematical Finance · Quantitative Finance 2026-04-07 Li Lin

This short note aims to introduce a rule which admits to compute %any time rate of interest in any time per any time, rate of inflation per any time in any moment, if the rate of interest or the rate of inflation by unity of time is an…

General Mathematics · Mathematics 2007-05-23 Vaclav Studeny

This paper assesses the link between central bank's policy rate, inflation rate and output gap through Taylor rule equation in both United States and United Kingdom from 1990 to 2020. Also, it analyses the relationship between monetary…

General Economics · Economics 2023-05-24 Kian Tehranian

Building on a prominent agent-based model, we present a new structural stochastic volatility asset pricing model of fundamentalists vs. chartists where the prices are determined based on excess demand. Specifically, this allows for…

Economics · Quantitative Finance 2016-05-02 Radu T. Pruna , Maria Polukarov , Nicholas R. Jennings

This paper describes a general approach for stochastic modeling of assets returns and liability cash-flows of a typical pensions insurer. On the asset side, we model the investment returns on equities and various classes of fixed-income…

Risk Management · Quantitative Finance 2020-05-27 Sergio Alvares Maffra , John Armstrong , Teemu Pennanen

In this paper, we consider the discrete-time setting, and the market model described by (S,F,T)$. Herein F is the ``public" flow of information which is available to all agents overtime, S is the discounted price process of d-tradable…

Mathematical Finance · Quantitative Finance 2024-01-12 Tahir Choulli , Emmanuel Lepinette

In this work we propose a statistical approach to handling sources of theoretical uncertainty in string theory models of inflation. By viewing a model of inflation as a probabilistic graph, we show that there is an inevitable information…

High Energy Physics - Theory · Physics 2019-06-05 Mafalda Dias , Jonathan Frazer , Alexander Westphal

We examine weak anticipations in discrete-time and continuous-time financial markets consisting of one risk-free asset and multiple risky assets, defining a minimal probability measure associated with the anticipation that does not depend…

Probability · Mathematics 2022-05-12 Geoff Lindsell

This paper considers exponential utility indifference pricing for a multidimensional non-traded assets model subject to inter-temporal default risk, and provides a semigroup approximation for the utility indifference price. The key tool is…

Pricing of Securities · Quantitative Finance 2015-09-22 Vicky Henderson , Gechun Liang

In this study, we consider the asset pricing under model uncertainty with discrete time and states structure. For the single-period securities model, we give a novel definition of arbitrage under a family of probability, and explore of its…

Mathematical Finance · Quantitative Finance 2025-12-25 Shuzhen Yang , Wenqing Zhang

A relation between interest rates and inflation is presented using a two component economic model and a simple general principle. Preliminary results indicate a remarkable similarity to classical economic theories, in particular that of…

General Finance · Quantitative Finance 2011-04-14 Michael Coopersmith
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