Premium
Modeling the conditional distribution of financial returns with asymmetric tails
Author(s) -
Thiele Stephen
Publication year - 2019
Publication title -
journal of applied econometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.878
H-Index - 99
eISSN - 1099-1255
pISSN - 0883-7252
DOI - 10.1002/jae.2730
Subject(s) - econometrics , skewness , asset allocation , volatility (finance) , economics , portfolio allocation , equity (law) , portfolio , conditional probability distribution , sample (material) , index (typography) , capital asset pricing model , financial economics , computer science , chemistry , chromatography , world wide web , political science , law
Summary This paper proposes a conditional density model that allows for differing left/right tail indices and time‐varying volatility based on the dynamic conditional score (DCS) approach. The asymptotic properties of the maximum likelihood estimates are presented under verifiable conditions together with simulations showing effective estimation with practical sample sizes. It is shown that tail asymmetry is prevalent in global equity index returns and can be mistaken for skewness through the center of the distribution. The importance of tail asymmetry for asset allocation and risk premia is demonstrated in‐sample. Application to portfolio construction out‐of‐sample is then considered, with a representative investor willing to pay economically and statistically significant management fees to use the new model instead of traditional skewed models to determine their asset allocation.