Learning Outcome Statement
Describe investment ownership and compensation structures commonly used in alternative investments.
On the exam: The question gives a GP-LP fund fact pattern with commitment, invested capital, fee terms, and waterfall rules. It asks for ownership or compensation consequences in a comparison, sequence, or calculation.
An alternative investment fund often puts a GP and LPs around one pool of assets. The GP manages the partnership and makes investment decisions. LPs provide capital, and the partnership terms generally give them limited liability. You care because a fee can be paid before the waterfall, while carry is earned only from residual profit after priority payments.
| Partnership feature | GP | LP |
|---|---|---|
| Ownership and control | Manages partnership | Holds limited interest |
| Capital | Directs investment of capital | Commits and supplies capital |
| Management fee | Receives fee | Bears fee economically |
| Performance allocation | Receives carried interest | Shares residual after carry |
| Waterfall priority | Earns carry after priorities | Receives capital and preferred return first |
| Liability | Management exposure | Generally limited liability under terms |
Control and cash ownership sit in different hands. The GP's compensation combines a management fee with a performance allocation, while LP economics depend on the stated capital base and waterfall order.
For the fee, the stated base is $B$, a capital amount. The annual rate is $r$, and the holding period is $h$ years. The resulting management fee is $F$, in the same currency as the base.
$$ F = B \times r \times h $$
Increase any of $B$, $r$, or $h$, and $F$ rises. A commitment can exceed invested capital, so the stated base controls the fee. The fee comes out of gross proceeds before the waterfall. Carry is a performance allocation from residual profit after return of capital and the preferred return, so net LP proceeds arrive after fees and the waterfall.
The fund's lifecycle puts those cash movements in order. Commitment establishes the LP's promised capital, and investment turns capital into an asset under the GP's direction. An exit converts that asset into proceeds. Only then does the distribution stage apply the fee and waterfall rules, so the order in the timeline helps distinguish an investment event from a payment to either partner.
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Worked example
You are handed a one-year partnership exit. The fund has a commitment larger than its invested capital, a fee charged on an explicit base, and a gross sale before the waterfall. You need the GP fee, LP distribution, GP compensation, and gross versus net MOIC. Start by separating the promised amount from the dollars actually invested; here, the commitment is USD 10 million and invested capital is USD 8 million. The sale produces USD 12 million after a one-year holding period. The fee rate is 0.02 decimal per year and its stated base is invested capital. The waterfall returns USD 8 million of capital, then pays a USD 1 million preferred return, before applying a 0.2 carry rate to residual profit. These inputs determine each stage, so keep the sequence intact when you calculate.
| Given | Value |
|---|---|
| Committed capital | USD 10 million |
| Invested capital | USD 8 million |
| Gross sale proceeds | USD 12 million |
| Holding period | 1 year |
| Management fee rate | 0.02 decimal per year |
| Management fee base | USD 8 million |
| Return of capital | USD 8 million |
| Preferred return | USD 1 million |
| Carry rate | 0.2 decimal |
The bars use the base case and show stage amounts in USD millions. Read them as separate stages, not as amounts to add. The sequence begins with gross proceeds of USD 12.00 million and subtracts a USD 0.16 million management fee, leaving a net pool of USD 11.84 million. Returning USD 8.00 million of capital and paying the USD 1.00 million preferred return leaves USD 2.84 million in residual profit. Carry takes USD 0.57 million from that residual, leaving the LP with an USD 11.27 million distribution after its priority payments and residual share. Because each bar marks a different point in the cash calculation, their heights describe the progression rather than independent cash flows.
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- Charge the management fee against invested capital because that is the stated fee base. The calculation is $8 \times 0.02 \times 1 = 0.16$ USD million.
- Subtract the fee from gross proceeds because gross proceeds precede the waterfall. This leaves $12 - 0.16 = 11.84$ USD million.
- Return invested capital first because it is the first waterfall tier. That pays USD 8.00 million.
- Pay the preferred return before performance allocation. Residual profit is $11.84 - 8.00 - 1.00 = 2.84$ USD million.
- Apply carry only to residual profit. GP carry is $2.84 \times 0.2 = 0.57$ USD million.
- Give LP the priority payments and its residual share because carry comes after those tiers. The LP residual is USD 2.27 million, producing $8.00 + 1.00 + 2.27 = 11.27$ USD million.
- Combine the fee and carry because GP compensation has both streams. The GP receives $0.16 + 0.57 = 0.73$ USD million.
- Label the return as multiple-based and separate gross from net. Gross MOIC is $\frac{12}{8} = 1.50$, while net LP MOIC is $\frac{11.27}{8} = 1.41$. Both use invested capital.
The comparison should show GP control with fee and carry, and LP capital with the net distribution after the waterfall.
Changed condition
Keep every contract term unchanged and raise only the gross exit. You need to predict how the extra proceeds affect carry, LP cash, and the two MOIC labels.
| Measure | Base exit | Higher exit |
|---|---|---|
| Gross proceeds and gross MOIC | USD 12 million, 1.50 | USD 13 million, 1.63 |
| Residual profit and GP carry | USD 2.84 million, USD 0.57 million | USD 3.84 million, USD 0.77 million |
| LP distribution and net LP MOIC | USD 11.27 million, 1.41 | USD 12.07 million, 1.51 |
Predict the direction before reading across. A higher gross exit leaves the fee and priority tiers unchanged, so residual profit grows. GP carry and both MOIC measures rise because the invested-capital base is unchanged, while LP distribution rises by the remainder after carry. Before reading on, calculate the higher-exit carry yourself.
Common error
A candidate sees committed capital as the fund's headline size and applies the management fee and MOIC to it. That feels right because the LP promised the commitment, so it seems like the natural denominator. The explicit invested-capital fee base and the separate return-of-capital step give away the error, so use the stated invested-capital base, then run the waterfall.
Calculator
| Keys | Display |
|---|---|
| 2ND CLR TVM | 0.00 |
| 8 × 0.02 × 1 = | 0.16 |
| 12 - 0.16 = | 11.84 |
| 11.84 - 8 - 1 = | 2.84 |
| 2.84 × 0.2 = | 0.57 |
| 2.84 - 0.57 = | 2.27 |
| 8 + 1 + 2.27 = | 11.27 |
Check yourself
Practice
A fund invests USD 8 million, charges 0.02 per year on invested capital for 1 year, and sells for USD 12 million. After returning USD 8 million and paying a USD 1 million preferred return, what is GP carry at 0.2?
Match each feature to the partnership party.
| GP | LP | |
|---|---|---|
| Manages partnership | ||
| Provides capital | ||
| Receives management fee | ||
| Receives residual after carry |
Enter the capital category used for the fee when the base is USD 8 million rather than the USD 10 million commitment: ____
Put the cash distribution steps in order.
- Deduct management fee
- Return invested capital
- Pay preferred return
- Split residual profit through carry
Revision snapshot
The fee formula is
$$ F = B \times r \times h $$
The GP manages the partnership. LPs provide capital and generally receive limited liability under the partnership terms.
| Item | Rule |
|---|---|
| Cash order | Gross proceeds precede fees. Net LP proceeds follow fees and the waterfall. |
| Waterfall | Return capital, pay preferred return, then split residual through carry. |
| Compensation | GP combines management fee with performance allocation or carried interest. |
| Return | Label gross and net MOIC on invested capital. |
| Exam angle | Identify control, capital, fees, carry, and risk from stated terms. |
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