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In this paper, we establish a market model for the term structure of forward inflation rates based on the risk-neutral dynamics of nominal and real zero-coupon bonds. Under the market model, we can price inflation caplets as well as…

Pricing of Securities · Quantitative Finance 2013-02-05 Lixin Wu

We propose an axiomatic approach which economically underpins the representation of dynamic preferences in terms of a stochastic utility function, sensitive to the information available to the decision maker. Our construction is iterative…

Probability · Mathematics 2020-02-24 Marco Maggis , Andrea Maran

Prudent management of insurance investment portfolios requires competent asset pricing of fixed-income assets with time-to-event contingent cash flows, such as consumer asset-backed securities (ABS). Current market pricing techniques for…

Risk Management · Quantitative Finance 2023-02-27 Jackson P. Lautier , Vladimir Pozdnyakov , Jun Yan

We consider a discrete-time model of a financial market where a risky asset is bought and sold with transactions having a transient price impact. It is shown that the corresponding utility maximization problem admits a solution. We manage…

Portfolio Management · Quantitative Finance 2025-11-18 Lóránt Nagy , Miklós Rásonyi

We introduce a new class of continuous-time models of the stochastic volatility of asset prices. The models can simultaneously incorporate roughness and slowly decaying autocorrelations, including proper long memory, which are two stylized…

Statistical Finance · Quantitative Finance 2021-01-06 Mikkel Bennedsen , Asger Lunde , Mikko S. Pakkanen

In this paper we analyse the five-factor capital market model of Munk et al.(2004). The model features a Vasicek interest rate model, an equity index with mean-reverting excess return and an index for realized inflation with mean-reverting…

Mathematical Finance · Quantitative Finance 2022-01-14 Søren Fiig Jarner , Michael Preisel

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

How does public debt matter for price stability? If it is useful for the private sector to insure idiosyncratic risk, even transitory government debt expansions can exert upward pressure on interest rates and create inflation. As I…

General Economics · Economics 2024-11-08 Matthias Hänsel

We study the continuous time portfolio optimization model on the market where the mean returns of individual securities or asset categories are linearly dependent on underlying economic factors. We introduce the functional $Q_\gamma$…

Portfolio Management · Quantitative Finance 2015-01-29 O. S. Rozanova , G. S. Kambarbaeva

In this paper, we consider the pricing and hedging of a financial derivative for an insider trader, in a model-independent setting. In particular, we suppose that the insider wants to act in a way which is independent of any modelling…

Mathematical Finance · Quantitative Finance 2020-06-25 Beatrice Acciaio , Alexander M. G. Cox , Martin Huesmann

We prove a version of First Fundamental Theorem of Asset Pricing under transaction costs for discrete-time markets with dividend-paying securities. Specifically, we show that the no-arbitrage condition under the efficient friction…

General Finance · Quantitative Finance 2013-06-13 Tomasz R. Bielecki , Igor Cialenco , Rodrigo Rodriguez

An axiomatic approach to macroeconomics based on the mathematical structure of thermodynamics is presented. It deduces relations between aggregate properties of an economy, concerning quantities and flows of goods and money, prices and the…

General Economics · Economics 2025-06-18 N. J. Chater , R. S. MacKay

In this paper we study the evolution of asset price bubbles driven by contagion effects spreading among investors via a random matching mechanism in a discrete-time version of the liquidity based model of [25]. To this scope, we extend the…

Mathematical Finance · Quantitative Finance 2022-11-03 Francesca Biagini , Andrea Mazzon , Thilo Meyer-Brandis , Katharina Oberpriller

We consider an individual or household endowed with an initial capital and an income, modeled as a deterministic process with a continuous drift rate. At first, we model the discounting rate as the price of a zero-coupon bond at zero under…

Optimization and Control · Mathematics 2016-04-01 Julia Eisenberg

We revisit the classical Merton consumption--investment problem when risky-asset returns are modeled by stochastic differential equations interpreted through a general $\alpha$-integral, interpolating between It\^{o}, Stratonovich, and…

Mathematical Finance · Quantitative Finance 2026-02-10 Mario Ayala , Benjamin Vallejo Jiménez

We propose a stochastic volatility model for time series of curves. It is motivated by dynamics of intraday price curves that exhibit both between days dependence and intraday price evolution. The curves are suitably normalized to…

Methodology · Statistics 2023-05-09 Piotr Kokoszka , Neda Mohammadi , Haonan Wang , Shixuan Wang

We study hedging and pricing of unattainable contingent claims in a non-Markovian regime-switching financial model. Our financial market consists of a bank account and a risky asset whose dynamics are driven by a Brownian motion and a…

Pricing of Securities · Quantitative Finance 2013-03-19 Łukasz Delong , Antoon Pelsser

The existence of the pricing kernel is shown to imply the existence of an ambient information process that generates market filtration. This information process consists of a signal component concerning the value of the random variable X…

General Finance · Quantitative Finance 2011-03-17 Grzegorz Andruszkiewicz , Dorje C. Brody

In this paper we present a theoretical framework for determining dynamic ask and bid prices of derivatives using the theory of dynamic coherent acceptability indices in discrete time. We prove a version of the First Fundamental Theorem of…

Risk Management · Quantitative Finance 2013-06-13 Tomasz R. Bielecki , Igor Cialenco , Ismail Iyigunler , Rodrigo Rodriguez

The present paper introduces a theoretical framework through which the degree of risk aversion with respect to uncertain prices can be measured through the context of the indirect utility function (IUF) using a lab experiment. First, the…

General Economics · Economics 2022-09-07 Ali Zeytoon-Nejad