Journal
JOURNAL OF FINANCIAL STABILITY
Volume 70, Issue -, Pages -Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.jfs.2023.101196
Keywords
Portfolio choice; Cumulative density; Bootstrap; Step-function; Expected utility theory
Categories
Ask authors/readers for more resources
This article proposes an algorithm based on ECDFs to rank densities of f(xj) with multiple modes, asymmetric fat tails, dips, turns, and overlaps. Additionally, algorithms for statistical inference and out-of-sample portfolio performance comparisons are introduced.
Assume data on Nj stock (asset) returns are available for p stocks, allowing us to construct approximate density functions f(xj) for (j=1, 2, ..., p) from p empirical cumulative distribution functions (ECDFs). Our portfolio choice is designed to rank ECDF-induced, ill-behaved f(xj) densities subject to multiple modes, asymmetric fat tails, dips, turns, and numerous overlaps. Older portfolio theory assumes that parameters like the mean, variance, and percentiles fully describe f(xj). All six of our algorithms avoid (expected) utility theory. The only available algorithm by Anderson for order-k Stochastic Dominance (SDk) needs a trapezoidal approximation. Our new exact algorithm for SDk is based on ECDFs and overcomes pairwise comparisons. We include algorithms for statistical inference using the bootstrap and one for pandemic proof'' out-of-sample portfolio performance comparisons from our R package 'generalCorr'. We suggest a test for zero cost profitable arbitrage'' and illustrate our algorithms in action by using two sets of recent 169-month stock returns. We do not claim to suggest new optimal portfolios.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available