[图书][B] Continuous-time stochastic control and optimization with financial applications

H Pham - 2009 - books.google.com
Stochastic optimization problems arise in decision-making problems under uncertainty, and
find various applications in economics and finance. On the other hand, problems in finance …

[图书][B] Stochastic modelling and applied probability

A Board - 2005 - Springer
During the seven years that elapsed between the first and second editions of the present
book, considerable progress was achieved in the area of financial modelling and pricing of …

Portfolio choice under cumulative prospect theory: An analytical treatment

XD He, XY Zhou - Management Science, 2011 - pubsonline.informs.org
We formulate and carry out an analytical treatment of a single-period portfolio choice model
featuring a reference point in wealth, S-shaped utility (value) functions with loss aversion …

Time-inconsistent stochastic linear--quadratic control

Y Hu, H Jin, XY Zhou - SIAM journal on Control and Optimization, 2012 - SIAM
In this paper, we formulate a general time-inconsistent stochastic linear--quadratic (LQ)
control problem. The time-inconsistency arises from the presence of a quadratic term of the …

A network equilibrium model with travellers' perception of stochastic travel times

RD Connors, A Sumalee - Transportation Research Part B: Methodological, 2009 - Elsevier
In this paper, we consider a network whose route travel times are considered to be random
variables. In this scenario travellers choose their route, uncertain of the travel time they will …

Static portfolio choice under cumulative prospect theory

C Bernard, M Ghossoub - Mathematics and financial economics, 2010 - Springer
We derive the optimal portfolio choice for an investor who behaves according to Cumulative
Prospect Theory (CPT). The study is done in a one-period economy with one risk-free asset …

Portfolio choice via quantiles

XD He, XY Zhou - Mathematical Finance: An International …, 2011 - Wiley Online Library
A portfolio choice model in continuous time is formulated for both complete and incomplete
markets, where the quantile function of the terminal cash flow, instead of the cash flow itself …

Prospect theory, liquidation, and the disposition effect

V Henderson - Management Science, 2012 - pubsonline.informs.org
There is a well-known intuition linking prospect theory with the disposition effect, the
tendency of investors to sell assets that have risen in value rather than fallen. Recently …

Thou shalt buy and hold

A Shiryaev, Z Xu¶, XY Zhou - Quantitative finance, 2008 - Taylor & Francis
An investor holding a stock needs to decide when to sell it over a given investment horizon.
It is tempting to think that she should sell at the maximum price over the entire horizon, which …

Optimal insurance design under rank‐dependent expected utility

C Bernard, X He, JA Yan, XY Zhou - Mathematical Finance, 2015 - Wiley Online Library
We consider an optimal insurance design problem for an individual whose preferences are
dictated by the rank‐dependent expected utility (RDEU) theory with a concave utility function …