Perturbation analysis for investment portfolios under partial information with expert opinions

JP Fouque, A Papanicolaou, R Sircar - SIAM Journal on Control and …, 2017 - SIAM
We analyze the Merton portfolio optimization problem when the growth rate is an
unobserved Gaussian process whose level is estimated by filtering from observations of the …

Filtering and portfolio optimization with stochastic unobserved drift in asset returns

JP Fouque, A Papanicolaou, R Sircar - … in Mathematical Sciences, 2015 - papers.ssrn.com
We consider the problem of filtering and control in the setting of portfolio optimization in
financial markets with random factors that are not directly observable. The example that we …

Complete markets do not allow free cash flow streams

N Bäuerle, S Grether - Mathematical methods of operations research, 2015 - Springer
In this short note we prove a conjecture posed in Cui et al.(Math Finance 22: 346–378,
2012): Dynamic mean–variance problems in arbitrage-free, complete financial markets do …

Portfolio optimization under dynamic risk constraints: Continuous vs. discrete time trading

I Redeker, R Wunderlich - Statistics & Risk Modeling, 2018 - degruyter.com
We consider an investor facing a classical portfolio problem of optimal investment in a log-
Brownian stock and a fixed-interest bond, but constrained to choose portfolio and …

Optimal diversification in the presence of parameter uncertainty for a risk averse investor

MS Dubois, LAM Veraart - SIAM Journal on Financial Mathematics, 2015 - SIAM
We consider an investor who faces parameter uncertainty in a continuous-time financial
market. We model the investor's preference by a power utility function leading to constant …

Dimension reduction in discrete time portfolio optimization with partial information

A Papanicolaou - SIAM Journal on Financial Mathematics, 2013 - SIAM
This paper considers the problem of portfolio optimization in a market with partial information
and discretely observed price processes. Partial information refers to the setting where …

Optimale Portfolios für partiell informierte Investoren in einem Finanzmarkt mit Gaußscher Drift und Expertenmeinungen

H Kondakji - 2019 - opus4.kobv.de
In dieser Arbeit untersuchen wir optimale Portfoliostrategien für nutzenmaximierende
Investoren in einem zeitstetigen Finanzmarktmodell, bei dem die Drift durch einen Ornstein …

Exact and approximate hidden Markov chain filters based on discrete observations

N Bäuerle, I Gilitschenski, U Hanebeck - Statistics & Risk Modeling, 2015 - degruyter.com
Abstract We consider a Hidden Markov Model (HMM) where the integrated continuous-time
Markov chain can be observed at discrete time points perturbed by a Brownian motion. The …

Power utility maximization in discrete-time and continuous-time exponential Lévy models

J Temme - arXiv preprint arXiv:1103.5575, 2011 - arxiv.org
Consider power utility maximization of terminal wealth in a 1-dimensional continuous-time
exponential Levy model with finite time horizon. We discretize the model by restricting …

Stochastic models in financial risk management

I Redeker - 2019 - opus4.kobv.de
This thesis is concerned with stochastic models to manage financial risks. The first part deals
with market risk and considers an investor facing a classical portfolio problem of optimal …