Using principal component analysis to estimate a high dimensional factor model with high-frequency data

Y Ait-Sahalia, D Xiu - Journal of Econometrics, 2017 - Elsevier
This paper constructs an estimator for the number of common factors in a setting where both
the sampling frequency and the number of variables increase. Empirically, we document that …

Risks of large portfolios

J Fan, Y Liao, X Shi - Journal of Econometrics, 2015 - Elsevier
The risk of a large portfolio is often estimated by substituting a good estimator of the volatility
matrix. However, the accuracy of such a risk estimator is largely unknown. We study factor …

A linear programming model for selection of sparse high-dimensional multiperiod portfolios

CS Pun, HY Wong - European Journal of Operational Research, 2019 - Elsevier
This paper studies the mean-variance (MV) portfolio problems under static and dynamic
settings, particularly for the case in which the number of assets (p) is larger than the number …

Portfolio of automated trading systems: Complexity and learning set size issues

S Raudys - IEEE transactions on neural networks and learning …, 2013 - ieeexplore.ieee.org
In this paper, we consider using profit/loss histories of multiple automated trading systems
(ATSs) as N input variables in portfolio management. By means of multivariate statistical …

Resolution of degeneracy in Merton's portfolio problem

CS Pun, HY Wong - SIAM Journal on Financial Mathematics, 2016 - SIAM
The Merton problem determines the optimal intertemporal portfolio choice by maximizing the
expected utility and is the basis of modern portfolio theory in continuous-time finance …

A dynamic conditional approach to forecasting portfolio weights

F Cipollini, GM Gallo, A Palandri - International Journal of Forecasting, 2021 - Elsevier
From the autoregressive representation of the portfolio-variance optimization problem, we
derive a novel model for conditional portfolio weights as a linear function of past conditional …

The relaxed investor with partial information

N Bäuerle, SP Urban, LAM Veraart - SIAM Journal on Financial Mathematics, 2012 - SIAM
We consider an investor in a financial market consisting of a riskless bond and several risky
assets. The price processes of the risky assets are geometric Brownian motions where either …

A sparse learning approach to relative-volatility-managed portfolio selection

CS Pun - SIAM Journal on Financial Mathematics, 2021 - SIAM
This paper proposes a self-calibrated sparse learning approach for estimating a sparse
target vector, which is a product of a precision matrix and a vector, and investigates its …

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 …

[PDF][PDF] High-dimensional static and dynamic portfolio selection problems via l1 minimization

CS Pun, HY Wong - 2015 - researchgate.net
This paper studies the mean-variance (MV) portfolio problems under static and dynamic
settings, particularly for the case that the number of assets (p) is larger than the number of …