Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/153157 
Year of Publication: 
2007
Series/Report no.: 
ECB Working Paper No. 723
Publisher: 
European Central Bank (ECB), Frankfurt a. M.
Abstract: 
This paper shows how the problem of mean-downside risk portfolio allocation can be cast in terms of penalized least squares (PLS). The penalty is given by a power function of the returns below a certain threshold. We derive the asymptotic properties of the PLS estimator, allowing for possible nonlinearities and misspecification of the model. We illustrate the usefulness of this new class of estimators with two empirical applications. First, we estimate an autoregressive model, in the spirit of the GARCH literature. Second, we suggest a simple strategy to derive the optimal portfolio weights associated to a mean-downside risk model.
Subjects: 
mean-risk utility model
Portfolio otpimization
stochastic
JEL: 
C14
C22
G11
Document Type: 
Working Paper

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