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The well-known theorem of Dybvig, Ingersoll and Ross shows that the long zero-coupon rate can never fall. This result, which, although undoubtedly correct, has been regarded by many as surprising, stems from the implicit assumption that the…

General Finance · Quantitative Finance 2015-09-29 Dorje C. Brody , Lane P. Hughston

In the context of a locally risk-minimizing approach, the problem of hedging defaultable claims and their Follmer-Schweizer decompositions are discussed in a structural model. This is done when the underlying process is a finite variation…

Mathematical Finance · Quantitative Finance 2015-05-14 Ramin Okhrati , Alejandro Balbás , José Garrido

We propose a Fundamental Theorem of Asset Pricing and a Super-Replication Theorem in a model-independent framework. We prove these theorems in the setting of finite, discrete time and a market consisting of a risky asset S as well as…

Probability · Mathematics 2013-03-27 Beatrice Acciaio , Mathias Beiglböck , Friedrich Penkner , Walter Schachermayer

This article's aim is to provide the solution to the equity premium puzzle without using calibrated values. Calibrated values of subjective time discount factor were used in my prior derived models because 4 variables were determined from 3…

General Finance · Quantitative Finance 2026-03-16 Atilla Aras

This study presents a deep reinforcement learning approach for global hedging of long-term financial derivatives. A similar setup as in Coleman et al. (2007) is considered with the risk management of lookback options embedded in guarantees…

Risk Management · Quantitative Finance 2020-07-31 Alexandre Carbonneau

A zero-shot RL agent is an agent that can solve any RL task in a given environment, instantly with no additional planning or learning, after an initial reward-free learning phase. This marks a shift from the reward-centric RL paradigm…

Machine Learning · Computer Science 2023-03-02 Ahmed Touati , Jérémy Rapin , Yann Ollivier

Collateralization with daily margining has become a new standard in the post-crisis market. Although there appeared vast literature on a so-called multi-curve framework, a complete picture of a multi-currency setup with cross-currency basis…

Pricing of Securities · Quantitative Finance 2015-09-08 Masaaki Fujii , Akihiko Takahashi

How should financial institutions hedge their balance sheets against interest rate risk when managing long-term assets and liabilities? We address this question by proposing a bond portfolio solution based on ambiguity-averse preferences,…

Risk Management · Quantitative Finance 2026-01-01 Tjeerd de Vries , Alexis Akira Toda

This study delves into the temporal dynamics within the equity market through the lens of bond traders. Recognizing that the riskless interest rate fluctuates over time, we leverage the Black-Derman-Toy model to trace its temporal…

Trading and Market Microstructure · Quantitative Finance 2023-10-19 Yifan He , Yuan Hu , Svetlozar Rachev

Given a stock price process, we analyse the potential of arbitrage by insiders in a context of short-selling prohibitions. We introduce the notion of minimal supermartingale measure, and we analyse its properties in connection to the…

Mathematical Finance · Quantitative Finance 2022-01-13 Delia Coculescu , Aditi Dandapani

In this paper, we show that eternal inflation of the random walk type is generically absent in the brane inflationary scenario. Depending on how the brane inflationary universe originated, eternal inflation of the false vacuum type is still…

High Energy Physics - Theory · Physics 2009-11-11 Xingang Chen , Sash Sarangi , S. -H. Henry Tye , Jiajun Xu

To construct a no-arbitrage defaultable bond market, we work on the state price density framework. Using the heat kernel approach (HKA for short) with the killing of a Markov process, we construct a single defaultable bond market that…

Computational Finance · Quantitative Finance 2011-03-24 Yuta Inoue , Takahiro Tsuchiya

In this paper, we propose a novel method for matrix completion under general non-uniform missing structures. By controlling an upper bound of a novel balancing error, we construct weights that can actively adjust for the non-uniformity in…

Machine Learning · Statistics 2021-06-11 Jiayi Wang , Raymond K. W. Wong , Xiaojun Mao , Kwun Chuen Gary Chan

The bounded mean betting procedure serves as a crucial interface between the domains of (1) sequential, anytime-valid statistical inference, and (2) online learning and portfolio selection algorithms. While recent work in both domains has…

Probability · Mathematics 2026-05-05 Hongjian Wang , Shubhada Agrawal , Aaditya Ramdas

We investigate the problem of pricing and hedging derivatives of Electricity Futures contract when the underlying asset is not available. We propose to use a cross hedging strategy based on the Futures contract covering the larger delivery…

Pricing of Securities · Quantitative Finance 2014-02-03 Adrien Nguyen Huu , Nadia Oudjane

We consider the market microstructure of automated market makers (AMMs) from the perspective of liquidity providers (LPs). Our central contribution is a ``Black-Scholes formula for AMMs''. We identify the main adverse selection cost…

Mathematical Finance · Quantitative Finance 2024-05-29 Jason Milionis , Ciamac C. Moallemi , Tim Roughgarden , Anthony Lee Zhang

We consider a financial market with zero-coupon bonds that are exposed to credit and liquidity risk. We revisit the famous Jarrow & Turnbull setting in order to account for these two intricately intertwined risk types. We utilise the…

Mathematical Finance · Quantitative Finance 2020-04-28 Thomas Krabichler , Josef Teichmann

Equity premium, the surplus returns of stocks over bonds, has been an enduring puzzle. While numerous prior works approach the problem assuming the utility of money is invariant across contexts, our approach implies that in efficient…

General Economics · Economics 2024-01-18 B. N. Kausik

Cryptocurrency lending pools are services that allow lenders to pool together assets in one cryptocurrency and loan it out to borrowers who provide collateral worth more (than the loan) in a separate cryptocurrency. Borrowers can repay…

Computational Engineering, Finance, and Science · Computer Science 2024-10-31 Joe Halpern , Rafael Pass , Aditya Saraf

In this work we deal with the funding costs rising from hedging the risky securities underlying a target volatility strategy (TVS), a portfolio of risky assets and a risk-free one dynamically rebalanced in order to keep the realized…

Pricing of Securities · Quantitative Finance 2021-12-06 Roberto Daluiso , Emanuele Nastasi , Andrea Pallavicini , Stefano Polo