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Related papers: Dynamic Black-Litterman

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We study the problem of dynamically trading a futures contract and its underlying asset under a stochastic basis model. The basis evolution is modeled by a stopped scaled Brownian bridge to account for non-convergence of the basis at…

Portfolio Management · Quantitative Finance 2019-05-28 Bahman Angoshtari , Tim Leung

In this paper, we study the Black-Litterman (BL) asset allocation model (Black and Litterman, 1990) under the hidden truncation skew-normal distribution (Arnold and Beaver, 2000). In particular, when returns are assumed to follow this skew…

Portfolio Management · Quantitative Finance 2023-10-20 Jungjun Park , Andrew L. Nguyen

In this article, a geometric approach to incorporating investor views in portfolio construction is presented. In particular, the proposed approach utilizes the notion of generalized Wasserstein barycenter (GWB) to combine the statistical…

Mathematical Finance · Quantitative Finance 2024-06-04 Alexandre V. Antonov , Koushik Balasubramanian , Alexander Lipton , Marcos Lopez de Prado

This paper studies an optimal trading problem that incorporates the trader's market view on the terminal asset price distribution and uninformative noise embedded in the asset price dynamics. We model the underlying asset price evolution by…

Mathematical Finance · Quantitative Finance 2018-08-07 Tim Leung , Jiao Li , Xin Li

This article explores dynamic factor allocation by analyzing the cyclical performance of factors through regime analysis. The authors focus on a U.S. equity investment universe comprising seven long-only indices representing the market and…

Portfolio Management · Quantitative Finance 2024-10-22 Yizhan Shu , John M. Mulvey

A new framework for asset pricing based on modelling the information available to market participants is presented. Each asset is characterised by the cash flows it generates. Each cash flow is expressed as a function of one or more…

Pricing of Securities · Quantitative Finance 2008-12-02 Andrea Macrina

An efficient conditioning technique, the so-called Brownian Bridge simulation, has previously been applied to eliminate pricing bias that arises in applications of the standard discrete-time Monte Carlo method to evaluate options written on…

Computational Finance · Quantitative Finance 2009-04-08 P. V. Shevchenko

We propose a simple model for the behaviour of longterm investors on a stock market, consisting of three particles, which represent the current price of the stock and the opinion of the buyers, respectively sellers, about the right trading…

Trading and Market Microstructure · Quantitative Finance 2009-04-27 Alexander Weiss

We consider an investor who is dynamically informed about the future evolution of one of the independent Brownian motions driving a stock's price fluctuations. With linear temporary price impact the resulting optimal investment problem with…

Mathematical Finance · Quantitative Finance 2023-12-13 Peter Bank , Yan Dolinsky

We develop a continuous-time general equilibrium framework for economies with a heterogeneous population -- modeled as a continuum -- that repeatedly optimizes over short horizons under relative-income (Duesenberry-type) criteria. The…

Mathematical Finance · Quantitative Finance 2026-03-19 Jaime Alberto Londoño

The main purpose of this paper is to extend the information-based asset-pricing framework of Brody-Hughston-Macrina to a more general set-up. We include a wider class of models for market information and in contrast to the original paper,…

Probability · Mathematics 2021-10-05 Mohamed Erraoui , Astrid Hilbert , Mohammed Louriki

We consider the pricing problem related to payoffs that can have discontinuities of polynomial growth. The asset price dynamic is modeled within the Black and Scholes framework characterized by a stochastic volatility term driven by a…

Probability · Mathematics 2016-07-26 Viktor Bezborodov , Luca Di Persio , Yuliya Mishura

We derive closed-form solutions to the optimal stopping problems related to the pricing of perpetual American standard and lookback put and call options in the extensions of the Black-Merton-Scholes model with progressively enlarged…

Mathematical Finance · Quantitative Finance 2025-07-08 Pavel V. Gapeev , Libo Li

An innovative extension of Geometric Brownian Motion model is developed by incorporating a weighting factor and a stochastic function modelled as a mixture of power and trigonometric functions. Simulations based on this Modified Brownian…

Pricing of Securities · Quantitative Finance 2015-07-09 Gurjeet Dhesi , Muhammad Bilal Shakeel , Ling Xiao

The present paper proposes a new framework for describing the stock price dynamics. In the traditional geometric Brownian motion model and its variants, volatility plays a vital role. The modern studies of asset pricing expand around…

Mathematical Finance · Quantitative Finance 2022-10-12 Ben Duan , Yutian Li , Dawei Lu , Yang Lu , Ran Zhang

In financial markets, the information that traders have about an asset is reflected in its price. The arrival of new information then leads to price changes. The `information-based framework' of Brody, Hughston and Macrina (BHM) isolates…

Pricing of Securities · Quantitative Finance 2015-03-17 Edward Hoyle

We model the dynamics of asset prices and associated derivatives by consideration of the dynamics of the conditional probability density process for the value of an asset at some specified time in the future. In the case where the price…

Pricing of Securities · Quantitative Finance 2011-11-14 Damir Filipović , Lane P. Hughston , Andrea Macrina

In this paper an arbitrage strategy is constructed for the modified Black-Scholes model driven by fractional Brownian motion or by a time changed fractional Brownian motion, when the volatility is stochastic. This latter property allows the…

Information Theory · Computer Science 2007-07-13 Erhan Bayraktar , H. Vincent Poor

In this paper, we consider the portfolio optimization problem in a financial market under a general utility function. Empirical results suggest that if a significant market fluctuation occurs, invested wealth tends to have a notable change…

Portfolio Management · Quantitative Finance 2022-01-26 Minglian Lin , Indranil SenGupta

We consider the problem of maximizing expected utility for a power investor who can allocate his wealth in a stock, a defaultable security, and a money market account. The dynamics of these security prices are governed by geometric Brownian…

Portfolio Management · Quantitative Finance 2014-06-04 Agostino Capponi , Jose Enrique Figueroa Lopez , Andrea Pascucci