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We consider a general local-stochastic volatility model and an investor with exponential utility. For a European-style contingent claim, whose payoff may depend on either a traded or non-traded asset, we derive an explicit approximation for…

Mathematical Finance · Quantitative Finance 2015-09-04 Matthew Lorig

In this paper we investigate the hedging problem of a unit-linked life insurance contract via the local risk-minimization approach, when the insurer has a restricted information on the market. In particular, we consider an endowment…

Mathematical Finance · Quantitative Finance 2017-09-26 Claudia Ceci , Katia Colaneri , Alessandra Cretarola

In this paper the utility optimization problem for a general insurance model is studied. The reserve process of the insurance company is described by a stochastic differential equation driven by a Brownian motion and a Poisson random…

Probability · Mathematics 2009-09-01 Yuping Liu , Jin Ma

We propose a new Robust Optimization method for the energy offering problem of a price-taker generating company that wants to build offering curves for its generation units, in order to maximize its profit while taking into account the…

Optimization and Control · Mathematics 2016-02-15 Fabio D'Andreagiovanni , Giovanni Felici , Fabrizio Lacalandra

This paper proposes two mixed models to study a consumer's optimal saving in the presence of two types of risk.

General Finance · Quantitative Finance 2017-06-26 Irina Georgescu , Adolfo Cristóbal Campoamor , Ana Maria Lucia Casademunt

We present an approach to market-consistent multi-period valuation of insurance liability cash flows based on a two-stage valuation procedure. First, a portfolio of traded financial instrument aimed at replicating the liability cash flow is…

Risk Management · Quantitative Finance 2016-07-15 Hampus Engsner , Mathias Lindholm , Filip Lindskog

This review presents the set of electricity price models proposed in the literature since the opening of power markets. We focus on price models applied to financial pricing and risk management. We classify these models according to their…

Mathematical Finance · Quantitative Finance 2021-07-30 Thomas Deschatre , Olivier Féron , Pierre Gruet

This survey reviews recent developments in revealed preference theory. It discusses the testable implications of theories of choice that are germane to specific economic environments. The focus is on expected utility in risky environments;…

Theoretical Economics · Economics 2019-12-04 Federico Echenique

This paper is the continuation of "Pricing with coherent risk" and deals with further applications of coherent risk measures to problems of finance. First, we study the optimization problem. Three forms of this problem are considered.…

Probability · Mathematics 2008-12-10 Alexander S. Cherny

Time or money? That is a question! In this paper, we consider this dilemma in the pricing regime, in which we try to find the optimal pricing scheme for identical items with heterogenous time-sensitive buyers. We characterize the…

Computer Science and Game Theory · Computer Science 2024-02-23 Zhengyang Liu , Liang Shan , Zihe Wang

The paper introduces benchmark-neutral pricing and hedging for long-term contingent claims. It employs the growth optimal portfolio of the stocks as numeraire and the new benchmark-neutral pricing measure for pricing. For a realistic…

Mathematical Finance · Quantitative Finance 2024-07-03 Eckhard Platen

We explore credit risk pricing by modeling equity as a call option and debt as the difference between the firm's asset value and a put option, following the structural framework of the Merton model. Our approach proceeds in two stages:…

Risk Management · Quantitative Finance 2025-06-17 Jagdish Gnawali , Abootaleb Shirvani , Svetlozar T. Rachev

We revisit the problem of portfolio selection, where an investor maximizes utility subject to a risk constraint. Our framework is very general and accommodates a wide range of utility and risk functionals, including non-concave utilities…

Mathematical Finance · Quantitative Finance 2025-09-15 Leonardo Baggiani , Martin Herdegen , Nazem Khan

This paper assumes each individual in society has a random discount factor and assesses an intertemporal project using rank-dependent expected utility theory. We consider both the ex ante and the ex post approaches. For the former, we show…

Theoretical Economics · Economics 2025-08-26 Wei Ma

We consider the multi-period portfolio optimization problem with a single asset that can be held long or short. Due to the presence of transaction costs, maximizing the immediate reward at each period may prove detrimental, as frequent…

Optimization and Control · Mathematics 2025-02-07 Chutian Ma , Paul Smith

To make medium- and long-term insurance products attractive, it is essential to enable participation in stock market returns. However, to eliminate downside risk, guarantees must be included, which naturally leads to the challenge of…

Mathematical Finance · Quantitative Finance 2025-10-09 Raquel M. Gaspar , Thorsten Schmidt

We consider pricing weather derivatives for use as protection against weather extremes. The method described utilizes results from spatial statistics and extreme value theory to first model extremes in the weather as a max-stable process,…

Applications · Statistics 2011-09-21 Robert J. Erhardt , Richard L. Smith

Securing an adequate supply of dispatchable resources is critical for keeping a power system reliable under high penetrations of variable generation. Traditional resource adequacy mechanisms are poorly suited to exploiting the growing…

Systems and Control · Electrical Eng. & Systems 2022-10-27 Farhad Billimoria , Filiberto Fele , Iacopo Savelli , Thomas Morstyn , Malcolm McCulloch

An investor with constant absolute risk aversion trades a risky asset with general It\^o-dynamics, in the presence of small proportional transaction costs. In this setting, we formally derive a leading-order optimal trading policy and the…

Pricing of Securities · Quantitative Finance 2012-12-13 Jan Kallsen , Johannes Muhle-Karbe

Based on a point of view that solvency and security are first, this paper considers regular-singular stochastic optimal control problem of a large insurance company facing positive transaction cost asked by reinsurer under solvency…

Risk Management · Quantitative Finance 2010-12-22 Zongxia Liang , Jicheng Yao