Working paper · SSRN 7608402 · 27 pages

How much pre-tax alpha must an outside manager add before allocating beats running tax-aware mandates in-house?

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Markets & asset pricingTax-aware investingAdvisers & investorsResearchers & quantsJournalistsCPAs & tax professionals

Key results

  • Over twenty years with a liquidation exit, the in-house route ends 1.8 to 2.0 times wealthier after tax, a wedge of 327 to 404 bp a year.
  • The wedge splits into a 115 to 130 bp cost layer, about 166 bp of fund tax leakage, and 31 to 116 bp of forgone harvesting.
  • Break-even outside alpha is 235 to 441 bp at liquidation and 416 to 722 bp under a step-up. No stressed scenario falls below roughly 260 bp.
  • At liquidation both wrappers pass marginal alpha through at nearly the same rate, 75.1 versus 76.2 percent, so the damage falls on the base return.
  • Below about $1M the harvesting channel is not an identified claim for a single account. Its 90 percent interval at $250k runs from -9 to 71 bp.

Summary

Build or buy, priced after tax

A small investment firm that manages taxable money runs into a choice it cannot avoid. It can build: run a direct-indexing core and, where the account qualifies, a tax-aware long-short sleeve, holding every position inside the account and harvesting losses lot by lot. Or it can buy: send the capital to outside managers, usually hedge funds or commingled vehicles, and accept whatever the fund's K-1 delivers each spring. Buying brings manager skill and outsourced operations. It also brings a second layer of charges and taxable distributions that arrive on the fund's schedule rather than the account holder's. And it gives up harvesting against a specific basis and specific outside gains. Figure 1 draws the decision and the three channels through which the after-tax difference flows.

Figure 1. The operating-model choice and the three channels of the after-tax wedge.
Figure 1. The operating-model choice and the three channels of the after-tax wedge.

Practitioners know which direction this trade-off runs. What we wanted was the size. How wide is the after-tax wedge, and how much pre-tax alpha must an outside manager add before buying beats building? Account size and horizon change both answers.

One model, identical gross returns

We hold pre-tax gross returns identical across the two routes. That way nothing in the comparison rewards the in-house route for skill it has not shown. We derive two closed forms: one for after-tax wealth under a constant annual realization fraction, and a second for the share of a marginal point of outside alpha that survives each wrapper. On top of them sits a fixed-seed Monte Carlo, calibrated to Ken French data from 1926–2026, which prices the wedge across accounts from $250k to $25M at tax rates of 40.8%, 23.8% for short-term and long-term gains.

We did not expect what the second closed form showed. At a liquidation exit, the fund wrapper and the SMA wrapper pass a marginal pre-tax dollar through at nearly the same rate, 75.1 versus 76.2 percent. Why? Paying the blended distribution tax each year, with its basis credit, costs about what paying the long-term rate once at exit costs. So the wrapper does its damage almost entirely on the base return. Figure 5 shows the share kept under each wrapper as the realization fraction varies. A step-up at death breaks the equivalence, since the SMA's deferred alpha then escapes tax while the annual distribution tax still clips the fund's.

Figure 5. Proposition 2: the share of a marginal pre-tax dollar the client keeps, fund wrapper against SMA, as δ varies, for both exits.
Figure 5. Proposition 2: the share of a marginal pre-tax dollar the client keeps, fund wrapper against SMA, as δ varies, for both exits.

Over twenty years with a liquidation exit, the in-house route finishes 1.8 to 2.0 times wealthier after tax, and Figure 6 gives the ratio by horizon, tier and exit. In annual terms we measure a wedge of 327 bp for a $250k account, rising to 404 bp for a $25M account. Costs account for 115 to 130 bp of it. That share shrinks in basis-point terms as the account grows. Fund-level tax leakage takes about 166 bp at every size, and no amount of manager skill removes it. Forgone harvesting adds 31 bp for a small direct-indexing account and 116 bp for a large account carrying a 40 percent long-short sleeve.

Figure 6. After-tax terminal wealth ratio, in-house over allocate, by horizon, tier and exit.
Figure 6. After-tax terminal wealth ratio, in-house over allocate, by horizon, tier and exit.

The hurdle an outside manager must clear

How much non-replicable pre-tax alpha must the outside fund deliver before the allocate route catches up? Under a liquidation exit we find a range from 235 bp for a $250k account at a 5-year horizon to 441 bp for a $25M account at a 25-year horizon. A step-up lifts it to 416 to 722 bp. Deferral explains the jump: a step-up makes deferral permanent, and the in-house route defers far more. Figure 9 plots the full schedule.

Figure 9. Break-even outside alpha by horizon and tier, liquidation and step-up exits (Table 4).
Figure 9. Break-even outside alpha by horizon and tier, liquidation and step-up exits (Table 4).

Turnover matters a great deal. Take a $5M account at 20 years, where the base case asks for 397 bp; a low-turnover fund brings that down to 289 bp, while a high-turnover fund pushes it up to 528 bp, so two funds with the same skill can face very different bars depending on how often they trade. In no scenario we stressed does the hurdle fall below roughly 260 bp.

Fat tails, intervals and harvesting

A century of equity returns is not Gaussian, so we rerun the simulation under four return processes: an iid Gaussian base, a stationary bootstrap, a two-regime Markov switch and a GARCH-t process with its drift matched to the others. Figure 12 shows the wedge under each with 90 percent split-conformal intervals. Across 2,000 paths the medians move little. Under the bootstrap we get 245 bp for a $250k account and 312 bp for a $25M account, against 233 bp and 298 bp under the Gaussian base. The intervals are wide, yet their lower ends stay above zero in every tier and under every process.

Figure 12. After-tax wedge by return process with 90 percent split-conformal intervals (Table 7).
Figure 12. After-tax wedge by return process with 90 percent split-conformal intervals (Table 7).

Harvesting is where we hold the claim loosely. For the $250k tier the 90 percent interval on the harvesting channel runs from -9 to 71 bp under the Gaussian process and widens under the others. Below about $1M, the channel is positive on average but it is not an identified claim for any single account. Figure 15 shows the channel per account with its intervals. We say this plainly because the simulation cannot pin that part of the wedge down for a small account.

Figure 15. Harvesting channel per client with 90 percent conformal intervals (Table 9).
Figure 15. Harvesting channel per client with 90 percent conformal intervals (Table 9).

A last point concerns means and medians. A lognormal terminal multiple has a mean well above its median, and Figure 16 draws the two apart at twenty years. Re-solving the break-even on the median rather than the mean lowers the hurdle by 80 to 90 bp. For a $250k account under the Gaussian process, the median-equalising figure is 258 bp. We take one operating choice from all this: we build the tax-aware core in-house and hold outside allocations as satellites for return streams we cannot replicate, at the hurdles this schedule makes explicit.

Figure 16. Lognormal terminal multiple at the calibrated moments: mean against median at twenty years.
Figure 16. Lognormal terminal multiple at the calibrated moments: mean against median at twenty years.

Who this is for: Investors with taxable accounts, CPAs weighing fund pass-through against lot-level control, and researchers or journalists who want the after-tax wedge quantified.

Figures

Figure 2. Proposition 1 at the calibration: each dollar of pre-tax value split into basis, gain kept after exit tax, and exit tax; fund wrapper (left) against full deferral (right), liquidation exit.
Figure 2. Proposition 1 at the calibration: each dollar of pre-tax value split into basis, gain kept after exit tax, and exit tax; fund wrapper (left) against full deferral (right), liquidation exit.
Figure 3. The leakage channel in closed form: the gross annual clip δτd r against the net figure after the liquidation exit's giveback, by δ and horizon.
Figure 3. The leakage channel in closed form: the gross annual clip δτd r against the net figure after the liquidation exit's giveback, by δ and horizon.
Figure 4. Terminal value of one dollar of loss harvested in year t (T = 20): the timing value at a long-term offset, plus the permanent character component at a short-term offset; ρ = 10 percent, illustrative.
Figure 4. Terminal value of one dollar of loss harvested in year t (T = 20): the timing value at a long-term offset, plus the permanent character component at a short-term offset; ρ = 10 percent, illustrative.
Figure 7. Wedge decomposition at 20 years, liquidation exit (Table 3).
Figure 7. Wedge decomposition at 20 years, liquidation exit (Table 3).
Figure 8. Table 3 as shares of each tier's total wedge.
Figure 8. Table 3 as shares of each tier's total wedge.
Figure 10. Break-even hurdle (Table 4) against the wedge on the base return (Table 2), every tier, horizon and exit.
Figure 10. Break-even hurdle (Table 4) against the wedge on the base return (Table 2), every tier, horizon and exit.
Figure 11. The drift artefact: the GARCH-t arm raw and drift-matched against the other processes.
Figure 11. The drift artefact: the GARCH-t arm raw and drift-matched against the other processes.
Figure 13. The harvesting channel isolated by rerunning with harvesting disabled, by process and tier.
Figure 13. The harvesting channel isolated by rerunning with harvesting disabled, by process and tier.
Figure 14. Held-out 90 percent interval width, unconditional against conformalized quantile regression (Table 8).
Figure 14. Held-out 90 percent interval width, unconditional against conformalized quantile regression (Table 8).
Figure 17. Break-even outside alpha equalising the median, by process and tier (Table 10).
Figure 17. Break-even outside alpha equalising the median, by process and tier (Table 10).

Tables

Table 1. Calibration.
ParameterValueSource / rationale
Market mean, vol (annual)14.0%, 23.7%French 25 size/BM EW average, 1926–2026 (cached)
Idiosyncratic vol (annual)28%single-name norm; French dispersion as floor
Tax rates τS, τL40.8%, 23.8%2025 top bracket + NIIT
Harvest threshold5% below basisstandard DI practice
Sleeve loss schedulemax(0.10, 0.45e-0.25t)/yr, 60% STKrasner and Sosner (2024)
Sleeve financing drag60 bp/yrprime-broker financing + borrow
Fund fee f150 bp (+20% perf. fee in robustness)typical hedge-fund mgmt + admin
Fund realization δ, ST share s50%, 60%high-turnover fund K-1 profile
Fixed ops $/yr by tier$1k / $6k / $10k / $20kops, K-1 prep, PB minimums
Firm overhead10 bpamortized platform cost
Paths, horizon, seed300, 30 years monthly, 20260804fixed-seed Monte Carlo
Table 2. After-tax terminal wealth multiples (liquidation exit; step-up in parentheses).
TierArm10y20y30y
$250kIn-house3.42 (4.28)13.80 (17.95)52.50 (68.87)
Allocate2.69 (2.85)7.71 (8.33)21.02 (22.82)
Wedge (bp/yr)269 (463)327 (435)343 (416)
$1MIn-house3.50 (4.52)14.69 (19.65)57.17 (77.10)
Wedge (bp/yr)293 (525)363 (488)375 (460)
$5MIn-house3.60 (4.71)15.07 (20.39)60.04 (81.87)
Wedge (bp/yr)325 (573)377 (509)394 (483)
$25MIn-house3.65 (4.84)15.78 (21.58)64.17 (88.33)
Wedge (bp/yr)341 (605)404 (542)420 (512)
Table 3. Annualized wedge decomposition, 20 years, liquidation exit (bp/yr).
TierFee layerFund tax leakageHarvest forgoneTotal
$250k13016631327
$1M12316675363
$5M11516697377
$25M123166116404
Table 4. Break-even outside pre-tax alpha (bp/yr).
Liquidation exitStep-up exit
Horizon$250k$1M$5M$25M$250k$1M$5M$25M
5y235240277296518601670722
10y290315350367476538586617
15y316342372391452502542570
20y345382397425449503524557
25y364392408441450490512550
30y360394413439432476500529
Table 5. Closed form (Proposition 1) versus simulation, allocate arm, liquidation exit.
HorizonClosed-form multipleSimulated multipleGap (bp/yr)
10y2.7032.691+5
20y7.6107.713−7
30y21.7521.02+13
Table 6. Break-even outside alpha under stress ($5M, 20 years, bp/yr).
ScenarioBreak-even alpha
Base (δ=0.50, 60% ST, LT-rate benefit)397
Low-turnover fund (δ=0.25)289
High-turnover fund (δ=0.75)528
Fund distributes all-LT character305
20% performance fee on gains838
Client has ST external gains (losses offset at 40.8%)453
No external gains (losses only carry forward to exit)297
Step-up exit524
Conservative market moments (8% mean, 16% vol)264
Table 7. After-tax wedge by return process (20 years, liquidation, bp/yr, median of 2,000 paths; 90 percent split-conformal predictive interval in brackets).
Processexcess kurtosis$250k$1M$5M$25M
iid Gaussian (base)0.0233 [53, 413]249 [74, 423]280 [117, 442]298 [130, 465]
Stationary bootstrap14.4245 [79, 412]262 [107, 416]291 [141, 440]312 [158, 465]
Markov, two regimes5.8252 [76, 428]269 [90, 448]296 [122, 469]315 [137, 493]
GARCH-t, drift matched35.2247 [76, 418]263 [94, 432]290 [129, 452]307 [144, 470]
GARCH-t, drift unmatched35.2316 [124, 508]343 [160, 526]371 [195, 546]389 [214, 564]
Table 8. Held-out 90 percent interval width, bootstrap process (bp/yr; 500 test paths).
TierUnconditional widthcoverageConformalized quantile widthcoverage
$250k3490.9142800.914
$1M2960.8921820.908
$5M2880.8881490.880
$25M2960.9161440.922
Table 9. Harvesting channel per client (20 years, liquidation, bp/yr; median with 90 percent conformal predictive interval).
Tieriid GaussianStationary bootstrapMarkovGARCH-t, drift matched
$250k31 [-9, 71]30 [-20, 80]30 [-32, 91]28 [-6, 61]
$1M68 [20, 117]69 [14, 125]69 [-2, 141]68 [29, 107]
$5M86 [31, 140]87 [27, 147]88 [19, 156]85 [42, 128]
$25M102 [42, 162]106 [44, 167]107 [29, 185]103 [53, 153]
Table 10. Break-even outside alpha, median-equalising (20 years, liquidation, bp/yr).
Tieriid GaussianStationary bootstrapMarkovGARCH-t, drift matched
$250k258262263263
$1M272294286296
$5M299318323315
$25M316342344331
Table 11. Held-out 90 percent interval width, boosted trees against a neural quantile model (bootstrap process, bp/yr).
TierBoosted widthcoverageNeural widthcoverage
$250k2800.9142790.912
$1M1820.9081760.928
$5M1490.8801390.882
$25M1440.9221200.902

Abstract

A boutique advisory firm serving taxable clients can run tax-aware mandates in-house, with lot-level control in every account, or allocate to outside managers and accept the fund wrapper's tax pass-through. We price the after-tax wedge between the two through its three channels: the extra fee layer, fund-level gain realizations the client cannot time, and the harvesting a pooled fund forgoes. Behind it sits a closed form for after-tax wealth under partial annual realization, and for the share of a marginal alpha point that survives each wrapper, paired with a fixed-seed Monte Carlo calibrated to a century of Ken French data. Under identical gross returns, and with a liquidation exit, the in-house route ends twenty years 1.8 to 2.0 times wealthier after tax: a wedge of 327 to 404 bp a year across accounts from $250k to $25M. The break-even outside alpha is 235 to 441 bp at liquidation and 416 to 722 bp under a step-up. Four return processes and split-conformal intervals leave the wedge intact. Harvesting is another matter. Below about $1M it is not an identified claim for one client, and the hurdle re-solved on the median runs 80 to 90 bp lower than the mean-based figure.

Keywords: manager of managers, fund of funds, tax-aware investing, after-tax alpha, separately managed account, direct indexing, tax-loss harvesting, intermediation, conformal prediction, distribution-free inference, e-values, anytime-valid inference, stationary bootstrap, GARCH, Markov regime switching, conformalized quantile regression, model risk, pinball loss, quantile neural network, break-even alpha

How to cite

Majumdar, A. The After-Tax Intermediation Wedge: Distribution-Free Evidence on Replicating versus Allocating Tax-Aware Mandates. SSRN Working Paper No. 7608402. https://ssrn.com/abstract=7608402

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