High-Water Mark Arithmetic for a New Pool
On January 1 a commodity pool operator launches a pool with $5,000,000 from 18 limited partners. The CPO charges a 2% annual management fee, billed at each quarter-end at 0.5% of beginning-of-quarter NAV, and a 20% quarterly incentive fee on net new profits, subject to a high-water mark. The CPO pays the trading advisor's fee and all operating expenses out of the management fee. Fee convention used throughout the books: NAV_end = NAV_begin + gross trading P/L (computed on beginning NAV) − management fee − incentive fee. Gross quarterly returns are Q1 +8.0%, Q2 −5.0%, Q3 +4.0%, Q4 +10.0%. In February a prospect asks whether he can subscribe $100,000 and have the pool trade $200,000 of notional 'so the money actually works'.
1. Compute NAV at each quarter-end and the incentive fee paid each quarter, and state the high-water mark entering year two.
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Q1
- Gross P/L: 8% × 5,000,000 = +400,000
- Management fee: 0.5% × 5,000,000 = 25,000
- Net profit: 375,000 → incentive 20% = 75,000
- NAV: 5,000,000 + 400,000 − 25,000 − 75,000 = $5,300,000 → HWM = 5,300,000
Q2
- Gross P/L: −5% × 5,300,000 = −265,000
- Management fee: 26,500
- Net: −291,500 → below HWM, incentive $0
- NAV: 5,300,000 − 265,000 − 26,500 = $5,008,500
Q3
- Gross P/L: 4% × 5,008,500 = +200,340
- Management fee: 25,042
- Net profit: 175,298 → NAV would be 5,183,798, which is still below the $5,300,000 HWM → incentive $0
- NAV: $5,183,798
Q4
- Gross P/L: 10% × 5,183,798 = +518,380
- Management fee: 25,919
- Net: +492,461 → NAV before incentive 5,676,259
- Incentive applies only to the excess over HWM: 5,676,259 − 5,300,000 = 376,259 → 20% = 75,252
- NAV year-end: $5,601,007 → new HWM = $5,601,007
Total incentive fees for the year: 75,000 + 75,252 = $150,252.
2. An investor complains that he paid no incentive fee in Q3 despite a +4% quarter, yet feels he was charged twice in Q4. Explain, with numbers, and say what would have happened without the high-water mark.
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Why Q3 was fee-free
The pool remained below its $5,300,000 high-water mark. At Q3-end NAV was $5,183,798, a shortfall of $116,202. The quarterly gain of $175,298 was almost entirely consumed by restoring the loss from Q2, plus the management fee. Incentive fees are earned on new profits, not on recovery of prior losses.
Why Q4 feels like double charging
The Q4 incentive was computed on the excess over the HWM only: (5,676,259 − 5,300,000) × 20% = $75,252, not 20% of the full $492,461 (which would have been $98,492). The investor is paying for the pre-Q2 peak plus the post-HWM excess; without the HWM he would also have paid 20% × $175,298 = $35,060 in Q3 on profits that merely recovered his own money.
Without a high-water mark:
| Quarter | Fee with HWM | Fee without HWM |
|---|---|---|
| Q1 | 75,000 | 75,000 |
| Q2 | 0 | 0 |
| Q3 | 0 | 35,060 |
| Q4 | 75,252 | 98,492 |
| Total | 150,252 | 208,552 |
The HWM saved the investor $58,300 - 1.2% of starting capital - in one year. This is the plain-language answer to give: the HWM is an investor protection, and its cost to the investor is a delay in fee crystallization, not an extra fee.
Judgement point: the CPO must ensure the disclosure document defines the HWM and the fee-crystallization convention precisely, because a prospect who does not understand it will read the Q4 invoice as a breach of trust. Also confirm the management fee is not charged on accrued but unpaid incentive fees, which would compound the drag.
3. Address the prospect's request for 2:1 notional funding: how do fees and risk change, and what must the CPO disclose?
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What notional funding does to the fee
Take $100,000 funded, $200,000 notional, and a 10% return on notional:
- Trading gain: 10% × 200,000 = $20,000 = 20% on the investor's actual capital
- Incentive fee: 20% × 20,000 = $4,000 = 4.0% of funded capital
At 1:1 the same 10% program would earn a $2,000 incentive - 2.0% of capital. Notional funding doubles the effective incentive rate because the fee is levied on profits generated by capital the investor never contributed.
What also doubles
- Loss velocity: a 10% program loss is a 20% loss of funded capital; a 50% program drawdown wipes out the account and triggers a margin call the investor must fund or be liquidated.
- Margin-call frequency and the risk of forced liquidation at the bottom of a drawdown.
- Management fees, if charged on notional, rise proportionally with no additional capital at risk for the CPO.
Disclosure obligations
- Present performance and fees on the funded-capital basis the investor will actually experience, not solely on notional.
- A break-even analysis showing fees and expenses as a percentage of funded capital, so the investor sees the return required merely to stay flat.
- Explicit statement of the leverage ratio, that losses can exceed the funded amount's expected drawdown, and any right of the CPO to demand additional funding.
- If a pool-level change is contemplated, it is a material change requiring the disclosure document to be amended and re-filed with NFA and delivered to existing participants before implementation.
Recommended response: accept the leverage only if the disclosure document contemplates it and the investor signs a written acknowledgement of the notional-funding risk; otherwise decline and offer a 1:1 account.