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Related papers: No-arbitrage pricing under cross-ownership

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We develop robust pricing and hedging of a weighted variance swap when market prices for a finite number of co--maturing put options are given. We assume the given prices do not admit arbitrage and deduce no-arbitrage bounds on the weighted…

Pricing of Securities · Quantitative Finance 2012-09-19 Mark H. A. Davis , Jan Obloj , Vimal Raval

We generalize classical results on the existence of optimal portfolios in discrete time frictionless market models to models with capital gains taxes. We consider the realistic but mathematically challenging rule that losses do not trigger…

Mathematical Finance · Quantitative Finance 2026-02-18 Alexander Dimitrov , Christoph Kühn

Decentralized exchanges using automated market makers create arbitrage opportunities with centralized exchanges, where gas fees and transaction ordering are critical. Existing models largely overlook competition among arbitrageurs, despite…

Mathematical Finance · Quantitative Finance 2026-02-27 Xue Dong He , Chen Yang , Yutian Zhou

This paper proposes a paradigm shift in the valuation of long term annuities, away from classical no-arbitrage valuation towards valuation under the real world probability measure. Furthermore, we apply this valuation method to two examples…

Mathematical Finance · Quantitative Finance 2017-11-09 Kevin Fergusson , Eckhard Platen

This paper supplies two possible resolutions of Fortune's (2000) margin-loan pricing puzzle. Fortune (2000) noted that the margin loan interest rates charged by stock brokers are very high in relation to the actual (low) credit risk and the…

General Economics · Economics 2022-10-24 Alex Garivaltis

We introduce a first theory of price impact in presence of an interest-rates term structure. We explain how one can formulate instantaneous and transient price impact on bonds with different maturities, including a cross price impact that…

Trading and Market Microstructure · Quantitative Finance 2021-09-16 Damiano Brigo , Federico Graceffa , Eyal Neuman

We consider a financial market in which two securities are traded: a stock and an index. Their prices are assumed to satisfy the Black-Scholes model. Besides assuming that the index is a tradable security, we also assume that it is…

Portfolio Management · Quantitative Finance 2011-09-26 Vladimir Vovk

It is a common practice in the current literature of electricity markets to use game-theoretic approaches for strategic price bidding. However, they generally rely on the assumption that the strategic bidders have prior knowledge of rival…

Computer Science and Game Theory · Computer Science 2024-04-05 Arega Getaneh Abate , Dorsa Majdi , Jalal Kazempour , Maryam Kamgarpour

In this paper, we propose an equilibrium pricing model in a dynamic multi-period stochastic framework with uncertain income streams. In an incomplete market, there exist two traded risky assets (e.g. stock/commodity and weather derivative)…

Optimization and Control · Mathematics 2012-05-29 Traian A. Pirvu , Huayue Zhang

In this paper we propose a general framework for modeling an insurance liability cash flow in continuous time, by generalizing the reduced-form framework for credit risk and life insurance. In particular, we assume a nontrivial dependence…

Mathematical Finance · Quantitative Finance 2022-06-30 Francesca Biagini , Yinglin Zhang

Equity risk premium is a central component of every risk and return model in finance and a key input to estimate costs of equity and capital in both corporate finance and valuation. An article by Damodaran examines three broad approaches…

Pricing of Securities · Quantitative Finance 2019-03-20 Enzo Busseti

Obtaining more accurate equity value estimates is the starting point for stock selection, value-based indexing in a noisy market, and beating benchmark indices through tactical style rotation. Unfortunately, discounted cash flow, method of…

Statistical Finance · Quantitative Finance 2008-12-02 Kenton K. Yee

We derive tractable necessary and sufficient conditions for the absence of buy-and-hold arbitrage opportunities in a perfectly liquid, one period market. We formulate the positivity of Arrow-Debreu prices as a generalized moment problem to…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Alexandre d'Aspremont

We provide a general framework for no-arbitrage concepts in topological vector lattices, which covers many of the well-known no-arbitrage concepts as particular cases. The main structural condition we impose is that the outcomes of trading…

Functional Analysis · Mathematics 2025-11-21 Eckhard Platen , Stefan Tappe

Under very general conditions, we construct a micro-macro model for closed economy with a large number of heterogeneous agents. By introducing both financial capital (i.e. valued capital---- equities of firms) and physical capital (i.e.…

Theoretical Economics · Economics 2019-12-10 Xiaofeng Liu

In an incomplete market setting, we consider two financial agents, who wish to price and trade a non-replicable contingent claim. Assuming that the agents are utility maximizers, we propose a transaction price which is a result of the…

Computational Finance · Quantitative Finance 2012-02-22 Michail Anthropelos , Nikolaos E. Frangos , Stylianos Z. Xanthopoulos , Athanasios N. Yannacopoulos

Proof that under simple assumptions, such as constraints of Put-Call Parity, the probability measure for the valuation of a European option has the mean derived from the forward price which can, but does not have to be the risk-neutral one,…

Mathematical Finance · Quantitative Finance 2016-09-05 Nassim N. Taleb

Analytical, free of time consuming Monte Carlo simulations, framework for credit portfolio systematic risk metrics calculations is presented. Techniques are described that allow calculation of portfolio-level systematic risk measures…

Risk Management · Quantitative Finance 2010-08-02 Mikhail Voropaev

The paper summarizes key results of the benchmark approach with a focus on the concept of benchmark-neutral pricing. It applies these results to the pricing of an extreme-maturity European put option on a well-diversified stock index. The…

Mathematical Finance · Quantitative Finance 2025-06-23 Eckhard Platen

A standing assumption in the literature on proportional transaction costs is efficient friction. Together with robust no free lunch with vanishing risk, it rules out strategies of infinite variation, as they usually appear in frictionless…

Mathematical Finance · Quantitative Finance 2023-06-21 Christoph Kühn , Alexander Molitor
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