Investment Research Series

When Protection Works but the Portfolio Still Lags

Long-Horizon Evidence on Downside Protection, Benchmark-Relative Drawdowns, and Persistent Equity Exposure
Sungkyu LeeGraduate School of Computing, Yonsei UniversityPublic Working PaperSSRN 7291898August 2026

Overview

A defensive strategy can meet its downside objective and still spend years lagging equity. This paper evaluates those two outcomes separately rather than treating benchmark outperformance as evidence that downside protection succeeded.

The long-history analysis compares equity buy-and-hold, a monthly rebalanced 50/50 equity-cash allocation, and a fixed 12-month defensive trend rule. Rolling 5-, 10-, 15-, and 20-year holding periods are used to study both drawdown protection in the strategy's own wealth path and the benchmark-relative path experienced while obtaining it.

Research Question

When a defensive strategy actually reduces maximum drawdown, what benchmark-relative path accompanies that protection, and how does persistent equity exposure change that path?

Key Findings

At the 20-year horizon, the 12-month defensive trend rule reduces maximum drawdown in 98.2% of rolling periods. Among those protected periods, 60.3% still finish with less terminal wealth than equity buy-and-hold.
Among protected 20-year periods, the median benchmark-relative drawdown depth is 44.4%, while the median longest benchmark-relative underwater period lasts 195 months.
Greater persistent equity exposure is associated with substantially shallower benchmark-relative drawdowns, while the longest underwater duration changes much less across the fixed blends.
The qualitative pattern remains visible in an independent Shiller/FRED reconstruction and under fixed trading-cost assumptions, although the magnitudes differ.

Selected Evidence

Four statistics summarize the central 20-year results in the July 1927–June 2026 Kenneth R. French Data Library sample.

98.2%
20-year periods in which the trend rule reduces maximum drawdown vs. equity
60.3%
Protected 20-year periods ending below equity
44.4%
Median benchmark-relative drawdown depth among protected 20-year periods
195 mo
Median longest benchmark-relative underwater spell among protected 20-year periods
Drawdown protection and benchmark-relative performance answer different questions. Relative drawdown depth is not a portfolio loss; it is a decline from a prior high-water mark in the strategy-to-equity wealth ratio.
Selected Exhibits

Four selected working-paper figures capture the core protection, path-burden, representative-path, and persistent-equity results. Click any figure to inspect the full-resolution public image.

Four-state decomposition of rolling holding periods showing protected and outperforming, protected and underperforming, and unprotected outcomes across 5-, 10-, 15-, and 20-year horizons.
Public working paper · Figure 1

Protection and Benchmark Outperformance Are Different Events

The four-state decomposition shows that realized downside protection does not imply benchmark outperformance. At long horizons, protected-but-underperforming periods remain common.

Open full-size figure ↗
Benchmark-relative drawdown depth by investment horizon with labels for the median longest underwater duration among protected holding periods.
Public working paper · Figure 2

Benchmark-Relative Shortfall Has Both Depth and Duration

Protected holding periods can remain below a prior benchmark-relative high-water mark for years. Depth and duration are separate dimensions of the relative performance path.

Open full-size figure ↗
Indexed wealth for equity and the 12-month defensive trend rule from June 2005 through May 2025, with shading for months below the prior benchmark-relative high-water mark.
Public working paper · Figure 3

A Protected Portfolio Can Still Lag for Most of a 20-Year Window

The June 2005–May 2025 illustrative path combines materially lower maximum drawdown with a 195-month benchmark-relative underwater spell and lower terminal wealth than equity.

Open full-size figure ↗
Twenty-year benchmark-relative drawdown depth across fixed tactical shares with labels for median longest underwater duration.
Public working paper · Figure 4

Persistent Equity Exposure Changes Relative Depth More Than Duration

Across fixed tactical shares, retaining more persistent equity exposure materially reduces benchmark-relative drawdown depth, while the median longest underwater duration changes much less.

Open full-size figure ↗

Timing Asymmetry

Protection can arrive in concentrated stress episodes while benchmark-relative opportunity cost accumulates across much longer intervals.

Illustrative 20-year path
27.1 pp

June 2005–May 2025: the trend rule reduces maximum drawdown by 27.1 percentage points, yet ends at 70.4% of equity's terminal wealth and spends 195 months below a prior benchmark-relative high-water mark.

Concentrated defensive gains
36.2%

The 20 largest qualifying defensive-outperformance months account for 36.2% of total positive monthly active log returns after the signal becomes available; the fixed 50/50 allocation accounts for 19.6%.

The trend rule records 112 qualifying months under the paper's fixed criterion, with a median gap of two months. These counts are descriptive because adjacent crisis months can belong to the same market episode.

Evaluation Design

01 · PROTECTION

Own-path drawdown

Measure whether the defensive allocation reduces maximum drawdown relative to equity within the same holding period.

02 · ENDPOINT

Terminal benchmark outcome

Record whether terminal wealth finishes above or below equity buy-and-hold.

03 · PATH

Relative depth and duration

Measure benchmark-relative drawdown depth and the longest spell below a prior relative high-water mark separately.

Portfolio Design

Persistent equity exposure changes the severity of the benchmark-relative shortfall more than its duration.

Pure tactical
44.4%

Median benchmark-relative drawdown depth across all 20-year periods. The corresponding median longest underwater spell is 196 months.

25% tactical / 75% equity
12.9%

Median relative drawdown depth across all 20-year periods, while the median longest underwater duration remains about 190 months.

The fixed blends are descriptive portfolio-design comparisons, not estimated optimal allocations. Their role is to show how benchmark-relative depth and duration move as persistent equity exposure increases.

Robustness

Independent reconstruction

Shiller / FRED

The qualitative depth-versus-duration pattern remains visible in an independently reconstructed historical series over the matched February 1935–June 2023 sample, although the magnitudes differ from the Kenneth R. French Data Library results.

Trading costs

0–50 bps one-way

Fixed turnover costs worsen benchmark-relative performance but do not remove the coexistence of realized downside protection and prolonged relative shortfall.

Scope & Interpretation

U.S. historical evidence

The long-history results describe U.S. return paths and do not establish that the same magnitudes hold across other markets, asset classes, or future regimes.

Overlapping holding periods

Rolling periods overlap and are strongly dependent. Reported frequencies summarize the historical sample; they are not probabilities estimated from independent trials.

Investor tolerance is not estimated

Return histories do not identify an investor's actual abandonment threshold. Benchmark-relative tolerance remains an implementation constraint rather than an estimated behavioral parameter.

Empirical, not optimization, evidence

The timing rule and blend weights are fixed design choices. The study characterizes historical trade-offs rather than estimating an optimal tactical allocation.

Reproducibility

The public replication repository reproduces the long-history analysis, fixed blends, trading-cost sensitivity, independent reconstruction, and all five working-paper figures. Raw third-party source files are not redistributed.

Citation

Lee, S. (2026). When Protection Works but the Portfolio Still Lags: Long-Horizon Evidence on Downside Protection, Benchmark-Relative Drawdowns, and Persistent Equity Exposure. Public Working Paper. SSRN 7291898.