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Debt is utilized: | Debt is quoted: |
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Statement 1: | Private equity (PE) firms generally focus on short-term results. For example, they frequently use restructuring of acquired companies in an effort to quickly divest them for a profit. |
Statement 2: | PE firms also want to ensure that the interests of portfolio company managers and of limited partners are aligned. For example, they frequently tie manager compensation to firm performance and include tag-along, drag-along clauses to give management a stake in the firm under certain trigger events. |
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Statement 1: | Earn-outs are mainly used in venture capital investments. They relate the acquisition price paid by the limited partners to the future performance of the portfolio companies. |
Statement 2: | It is generally difficult to value venture capital investments using the portfolio companies’ cash flows or EBIT or EBITDA growth, since both cash flows and earnings are difficult to predict with certainty. |
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Buyout | Venture capital |
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PRE valuation | Ownership proportion |
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Private equity | Management |
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Method of profit distribution | Equity allocation |
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Unlimited liability | Share in fund profits |
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Deutsch | Reiner |
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Risk in long-term rates | Profit distribution |
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Statement 1: | Committed capital is the initial capital in a private equity fund to obtain first round financing. As committed capital is used up, investors are required to make additional commitments to finance firm projects and expansion. |
Statement 2: | The J-Curve refers to the risk pattern in a private equity investment over time. Risk in private equity investments initially typically declines as more capital is drawn down but increases closer to exit since exit timing and values are difficult to predict. |
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Return metric | LPs’ realized return |
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Performance of private equity fund Delta and Kappa
Delta
Kappa
DPI
2.0
0.0
RVPI
0.0
2.0
TVPI
2.0
2.0
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Ratchet | DPI |
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Management fee: | Carried interest: |
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Fees to agents | Fees to GP |
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Expected terminal value | Pre-money valuation |
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Fractional ownership | Share price |
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W = ($35 million) × (1.40)4 = $134.46 millionStep 2: Milat’s fractional ownership of the venture capital firm is the future expected wealth divided by the exit value:
f = $134.46 million / $150 million = 0.8964, or 89.64%Step 3: Calculate the number of shares required by Milat (Spe) for its fractional ownership of 89.64%:
Spe = 1,000,000 [0.8964 / (1 – 0.8964)] = 8,652,510Step 4: The share price is the value of Milat’s initial investment divided by the number of shares Milat requires:
P = INV1 / Spe = $35 million / 8,652,510 = $4.05(Note that both the NPV and IRR approach will yield the same answers.)
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POST2 = ($120 million) / (1.30)2 = $71.01 millionStep 2: The pre-money valuation (PRE2) at the second round of financing is:
PRE2 = $71.01 million − $7 million = $64.01 million.Step 3: The PRE2 valuation then has to be discounted back at the appropriate discount rate to the time of the first-round financing to arrive at the post-money (POST1) valuation:
POST1 = ($64.01 million) / (1.50)4 = $12.64 millionStep 4: The fractional ownership (f1) for first-round investors is:
f1 = INV1 / POST1 = $10 million / $12.64 million = 0.79.
Number of shares | Share price |
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POST = PRE + INV = $6 million + $10 million = $16 millionStep 2: Calculate the private equity firm’s fractional ownership in the portfolio company:
f = INV / POST = $10 million / $16 million = 0.625Step 3: If the founders currently hold 300,000 shares, the number of shares to be held by the private equity firm to have 62.5% ownership is:
Number of shares = 300,000 [0.625 / (1-0.625)] = 500,000Step 4: Given the private equity firm’s $10 million investment and 500,000 shares, the share price is calculated as:
P = $10 million / 500,000 = $20.00
PRE | Fractional ownership |
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POST = ($120) / (1.30)6 = $24.86 million.Step 2: The pre-money valuation is Eizak’s current value without P&H’s investment:
PRE = $24.86 million − $17 million = $7.86 million.Step 3: P&H’s fractional ownership is the value of its investment as a fraction of Eizak’s POST valuation:
f = INV / POST = $17 / $24.86 = 0.68.
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r* = (1 + r) / (1 − q) − 1, where r is the unadjusted discount rate, and q is the probability of failure.
r* = (1 + 0.30) / (1 − 0.20) − 1 = 0.625
POST = FV / (1 + r*)N = ($30 million) / (1.625)2 = $11.36 million
Terminal value | Analysis |
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