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We introduce an equilibrium asset pricing model, which we build on the relationship between a novel risk measure, the Expected Downside Risk (EDR) and the expected return. On the one hand, our proposed risk measure uses a nonparametric…

Pricing of Securities · Quantitative Finance 2015-12-08 Mihaly Ormos , Dusan Timotity

This paper studies the equal risk pricing (ERP) framework for the valuation of European financial derivatives. This option pricing approach is consistent with global trading strategies by setting the premium as the value such that the…

Computational Finance · Quantitative Finance 2021-02-26 Alexandre Carbonneau , Frédéric Godin

The question of pricing and hedging a given contingent claim has a unique solution in a complete market framework. When some incompleteness is introduced, the problem becomes however more difficult. Several approaches have been adopted in…

Probability · Mathematics 2007-08-08 Pauline Barrieu , Nicole El Karoui

The use of non-translation invariant risk measures within the equal risk pricing (ERP) methodology for the valuation of financial derivatives is investigated. The ability to move beyond the class of convex risk measures considered in…

Computational Finance · Quantitative Finance 2021-07-26 Alexandre Carbonneau , Frédéric Godin

In this paper we study the pricing and hedging of nonreplicable contingent claims, such as long-term insurance contracts like variable annuities. Our approach is based on the benchmark-neutral pricing framework of Platen (2024), which…

Mathematical Finance · Quantitative Finance 2025-06-25 Michael Schmutz , Eckhard Platen , Thorsten Schmidt

Understanding mortgage prepayment is crucial for any financial institution providing mortgages, and it is important for hedging the risk resulting from such unexpected cash flows. Here, in the setting of a Dutch mortgage provider, we…

Risk Management · Quantitative Finance 2021-10-14 Emanuele Casamassima , Lech A. Grzelak , Frank A. Mulder , Cornelis W. Oosterlee

In recent decades, companies have frequently adopted share repurchase programs to return capital to shareholders or for other strategic purposes, instructing investment banks to rapidly buy back shares on their behalf. When the executing…

Pricing of Securities · Quantitative Finance 2026-01-27 Stefano Corti , Roberto Daluiso , Andrea Pallavicini

The usual theory of asset pricing in finance assumes that the financial strategies, i.e. the quantity of risky assets to invest, are real-valued so that they are not integer-valued in general, see the Black and Scholes model for instance.…

Pricing of Securities · Quantitative Finance 2023-11-16 Dorsaf Cherif , Meriam El Mansour , Emmanuel Lepinette

In this paper we study the pricing and hedging of structured products in energy markets, such as swing and virtual gas storage, using the exponential utility indifference pricing approach in a general incomplete multivariate market model…

Mathematical Finance · Quantitative Finance 2016-02-23 Giorgia Callegaro , Luciano Campi , Valeria Giusto , Tiziano Vargiolu

This article presents a deep reinforcement learning approach to price and hedge financial derivatives. This approach extends the work of Guo and Zhu (2017) who recently introduced the equal risk pricing framework, where the price of a…

Computational Finance · Quantitative Finance 2020-06-09 Alexandre Carbonneau , Frédéric Godin

We study a continuous-time financial market with continuous price processes under model uncertainty, modeled via a family $\mathcal{P}$ of possible physical measures. A robust notion ${\rm NA}_{1}(\mathcal{P})$ of no-arbitrage of the first…

Mathematical Finance · Quantitative Finance 2015-07-21 Sara Biagini , Bruno Bouchard , Constantinos Kardaras , Marcel Nutz

We propose a pricing technique based on coherent risk measures, which enables one to get finer price intervals than in the No Good Deals pricing. The main idea consists in splitting a liability into several parts and selling these parts to…

Probability · Mathematics 2008-12-02 Alexander S. Cherny , Dilip B. Madan

We provide a Fundamental Theorem of Asset Pricing and a Superhedging Theorem for a model independent discrete time financial market with proportional transaction costs. We consider a probability-free version of the Robust No Arbitrage…

Mathematical Finance · Quantitative Finance 2016-08-26 Matteo Burzoni

In this paper we provide a quantitative analysis to the concept of arbitrage, that allows to deal with model uncertainty without imposing the no-arbitrage condition. In markets that admit ``small arbitrage", we can still make sense of the…

Mathematical Finance · Quantitative Finance 2024-01-05 Beatrice Acciaio , Julio Backhoff , Gudmund Pammer

We present the closed-form solution to the problem of hedging price and quantity risks for energy retailers (ER), using financial instruments based on electricity price and weather indexes. Our model considers an ER who is intermediary in a…

Mathematical Finance · Quantitative Finance 2020-11-18 Javier Pantoja Robayo , Juan C. Vera

Prepayment risk embedded in fixed-rate mortgages forms a significant fraction of a financial institution's exposure, and it receives particular attention because of the magnitude of the underlying market. The embedded prepayment option…

Computational Finance · Quantitative Finance 2024-10-29 Leonardo Perotti , Lech A. Grzelak , Cornelis W. Oosterlee

In this paper, we consider the problem of equal risk pricing and hedging in which the fair price of an option is the price that exposes both sides of the contract to the same level of risk. Focusing for the first time on the context where…

Optimization and Control · Mathematics 2020-09-17 Saeed Marzban , Erick Delage , Jonathan Yumeng Li

We present here a regress later based Monte Carlo approach that uses neural networks for pricing high-dimensional contingent claims. The choice of specific architecture of the neural networks used in the proposed algorithm provides for…

Computational Finance · Quantitative Finance 2019-11-27 Vikranth Lokeshwar , Vikram Bhardawaj , Shashi Jain

In this paper, we explore the pricing and hedging strategies for an innovative insurance product called the equity protection swap(EPS). Notably, we focus on the application of EPSs involving cross-currency reference portfolios, reflecting…

Mathematical Finance · Quantitative Finance 2026-04-10 Marek Rutkowski , Huansang Xu

Current approaches to fair valuation in insurance often follow a two-step approach, combining quadratic hedging with application of a risk measure on the residual liability, to obtain a cost-of-capital margin. In such approaches, the…

Risk Management · Quantitative Finance 2023-06-22 Karim Barigou , Valeria Bignozzi , Andreas Tsanakas
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