One Factor to Bind the Cross-Section of Returns
SSRN Electronic Journal(2024)
摘要
We propose a new non-linear single-factor asset pricing model
r_it=h(f_tλ_i)+ϵ_it. Despite its parsimony, this model
represents exactly any non-linear model with an arbitrary number of factors and
loadings – a consequence of the Kolmogorov-Arnold representation theorem. It
features only one pricing component h(f_tλ_I), comprising a
nonparametric link function of the time-dependent factor and factor loading
that we jointly estimate with sieve-based estimators. Using 171 assets across
major classes, our model delivers superior cross-sectional performance with a
low-dimensional approximation of the link function. Most known finance and
macro factors become insignificant controlling for our single-factor.
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