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We consider the problem of option pricing under stochastic volatility models, focusing on the linear approximation of the two processes known as exponential Ornstein-Uhlenbeck and Stein-Stein. Indeed, we show they admit the same limit…

Pricing of Securities · Quantitative Finance 2010-11-23 Giacomo Bormetti , Valentina Cazzola , Danilo Delpini

For a converging sequence of exponential L\'evy models, we give conditions under which the associated sequence of option prices converges. We also study the behaviour of the prices when no such convergence holds. We then consider two…

Probability · Mathematics 2018-04-20 S. Cawston , L. Vostrikova

This article focuses on the work of O. Chanel and G. Chichilnisky (2013) on the flaws of expected utility theory while assessing the value of life. Expected utility is a fundamental tool in decision theory. However, it does not fit with the…

General Finance · Quantitative Finance 2016-04-20 Julien Blasco , Graciela Chichilnisky

We consider a single-period portfolio selection problem for an investor, maximizing the expected ratio of the portfolio utility and the utility of a best asset taken in hindsight. The decision rules are based on the history of stock returns…

Portfolio Management · Quantitative Finance 2020-06-11 Dmitry B. Rokhlin

We perform a stability analysis for the utility maximization problem in a general semimartingale model where both liquid and illiquid assets (random endowments) are present. Small misspecifications of preferences (as modeled via expected…

Portfolio Management · Quantitative Finance 2010-03-17 Constantinos Kardaras , Gordan Zitkovic

We study the pricing and hedging of European spread options on correlated assets when, in contrast to the standard framework and consistent with imperfect liquidity markets, the trading in the stock market has a direct impact on stocks…

Computational Finance · Quantitative Finance 2021-01-05 Kevin Shuai Zhang , Traian Pirvu

We study a continuous-time expected utility maximization problem in which the investor at maturity receives the value of a contingent claim in addition to the investment payoff from the financial market. The investor knows nothing about the…

Mathematical Finance · Quantitative Finance 2023-07-17 Yunhong Li , Zuo Quan Xu , Xun Yu Zhou

The utility-based pricing of defaultable bonds in the case of stochastic intensity models of default risk is discussed. The Hamilton-Jacobi- Bellman (HJB) equations for the value functions is derived. A finite difference method is used to…

Computational Finance · Quantitative Finance 2010-03-23 Regis Houssou , Olivier Besson

Here we develop an option pricing method based on Legendre series expansion of the density function. The key insight, relying on the close relation of the characteristic function with the series coefficients, allows to recover the density…

Mathematical Finance · Quantitative Finance 2017-03-21 Julien Hok , Tat Lung Chan

We use a continuous version of the standard deviation premium principle for pricing in incomplete equity markets by assuming that the investor issuing an unhedgeable derivative security requires compensation for this risk in the form of a…

Optimization and Control · Mathematics 2008-12-02 Erhan Bayraktar , Virginia R. Young

Using elementary arguments, we show how to derive $\mathbf{L}_p$-error bounds for the approximation of frictionless wealth process in markets with proportional transaction costs. For utilities with bounded risk aversion, these estimates…

Portfolio Management · Quantitative Finance 2021-03-23 Bruno Bouchard , Johannes Muhle-Karbe

We consider a portfolio with call option and the corresponding underlying asset under the standard assumption that stock-market price represents a random variable with lognormal distribution. Minimizing the variance (hedging risk) of the…

Pricing of Securities · Quantitative Finance 2010-04-27 Vladimir Nikulin

This paper introduces a novel Bayesian reverse unrestricted mixed-frequency model applied to a panel of nine European electricity markets. Our model analyzes the impact of daily fossil fuel prices and hourly renewable energy generation on…

Econometrics · Economics 2025-07-01 Francesco Ravazzolo , Luca Rossini , Andrea Viselli

This study investigates the influence of risk tolerance on the expected utility in the long run. We estimate the extent to which the expected utility of optimal portfolios is affected by small changes in the risk tolerance. For this…

Mathematical Finance · Quantitative Finance 2021-04-05 Hyungbin Park

Motivated by recent axiomatic developments, we study the risk- and ambiguity-averse investment problem where trading takes place over a fixed finite horizon and terminal payoffs are evaluated according to a criterion defined in terms of a…

Portfolio Management · Quantitative Finance 2013-12-02 Sigrid Källblad

We provide a novel inferential framework to estimate the exact affine Stone index (EASI) model, and analyze welfare implications due to price changes caused by taxes. Our inferential framework is based on a non-parametric specification of…

Econometrics · Economics 2021-09-17 Andrés Ramírez-Hassan , Alejandro López-Vera

In this paper, we consider a financial market with assets exposed to some risks inducing jumps in the asset prices, and which can still be traded after default times. We use a default-intensity modeling approach, and address in this…

Portfolio Management · Quantitative Finance 2015-10-21 Thomas Lim , Marie-Claire Quenez

Deep learning for option pricing has emerged as a novel methodology for fast computations with applications in calibration and computation of Greeks. However, many of these approaches do not enforce any no-arbitrage conditions, and the…

Computational Finance · Quantitative Finance 2020-07-22 Marc Chataigner , Stéphane Crépey , Matthew Dixon

Spectral risk measures are attractive risk measures as they allow the user to obtain risk measures that reflect their risk-aversion functions. To date there has been very little guidance on the choice of risk-aversion functions underlying…

Risk Management · Quantitative Finance 2011-03-30 kevin dowd , john cotter

We present a theory of expected utility with state-dependent linear utility functions for monetary returns, that incorporates the possibility of loss-aversion. Our results relate to first order stochastic dominance, mean-preserving spread,…

Theoretical Economics · Economics 2024-11-19 Somdeb Lahiri