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This paper studies the design of optimal time-consistent monetary policy in an economy where the planner trusts its own model, while a representative household uses a set of alternative probability distributions governing the evolution of the exogenous state of the economy. In such environments,...
Persistent link: https://www.econbiz.de/10010240307
In this paper we define and compare versions of the robust and non robust portfolio selection models based on the use, as a measure of risk, of volatility, Value at Risk and Conditional Value at Risk. This with the aim to take account of asymmetries in distribution of yields, and in profits and...
Persistent link: https://www.econbiz.de/10013128519
The paper identifies classes of nonconvex optimization problems whose convex relaxations have optimal solutions which at the same time are global optimal solutions of the original nonconvex problems. Such a hidden convexity property was so far limited to quadratically constrained quadratic...
Persistent link: https://www.econbiz.de/10013123787
In this paper we focus on robust linear optimization problems with uncertainty regions defined by ø-divergences (for example, chi-squared, Hellinger, Kullback-Leibler). We show how uncertainty regions based on ø-divergences arise in a natural way as confidence sets if the uncertain parameters...
Persistent link: https://www.econbiz.de/10013124587
We propose a robust portfolio optimization approach based on Value-at-Risk (VaR) adjusted Sharpe ratios. Traditional Sharpe ratio estimates based on limited historical return data are subject to estimation errors. Portfolio optimization based on traditional Sharpe ratios ignores this uncertainty...
Persistent link: https://www.econbiz.de/10013065458
Adjustable Robust Optimization (ARO) yields, in general, better worst-case solutions than static Robust Optimization …-case objective values of ARO and RO problems are equal. We prove that if the uncertainty is constraint-wise and the adjustable … respect to the adjustable variables and concave with respect to the parameters defining constraint-wise uncertainty …
Persistent link: https://www.econbiz.de/10013014822
For a number of different formulations of robust portfolio optimization, quadratic and absolute, we show that a) in the limit of low uncertainty in estimated asset mean returns the robust portfolio converges towards the mean-variance portfolio obtained with the same inputs; and b) in the limit...
Persistent link: https://www.econbiz.de/10013015830
Linear regression is widely-used in finance. While the standard method to obtain parameter estimates, Least Squares, has very appealing theoretical and numerical properties, obtained estimates are often unstable in the presence of extreme observations which are rather common in financial time...
Persistent link: https://www.econbiz.de/10013152306