Practitioners choosing among risk measures for portfolio construction face a real question: does the choice of risk proxy—variance, mean absolute deviation (MAD), interquartile range (IQR), or a wider central-quantile measure—actually change portfolio outcomes, or does it get swamped by other implementation choices? This paper investigates that question by comparing mean–variance optimization with alternatives that constrain risk using MAD, IQR, and a wider central-quantile range (P95), applied to nine U.S. sector ETFs over just under 27 years. All strategies share the same constraints—long-only, fully invested, with a maximum allocation cap and an explicit cash sleeve—and are evaluated across a range of annualized risk budgets and rebalancing schedules under a strict no-look-ahead timeline. The central finding is that rebalancing frequency is the first-order design choice relative to the risk proxy: once these constraints are imposed, performance differences across rebalancing schedules are typically larger in point estimate than differences across volatility, MAD, IQR, or P95. Block-bootstrap intervals show that these point differences are large but, given the small number of non-overlapping long-horizon periods, not uniformly distinguishable from zero, so the result is reported as a robust ordering of design choices rather than as a formally established dominance. The robust risk proxies are feasible to implement. Still, they are not a free lunch—at longer rebalance intervals in particular, they tend to converge toward similar allocations and realized outcomes as variance-based optimization. For practitioners, this suggests that operational decisions like rebalancing cadence may deserve more attention than the choice of risk metric itself.
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Shah et al. (2026) studied this question.
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