Papermill Plc was acquired by a private equity firm, whose investment horizon is 5 years and minimum IRR requirement is 20.0%. The private equity firm estimates the exit EBITDA and exit EV EBITDA multiple to be 1,200.0 and 11.0x, respectively. The EBITDA at entry is 1,100.0 and the amount of debt financing raised at entry is 7.0x EBITDA. The cash flow model built by the private equity firm estimates the debt to be 5.0x EBITDA at exit. Using the assumptions above, estimate the equity funding of the deal at entry. Sales 1,000.0
Cost of goods sold 600.0
Selling, general and administration 100.0
Interest expense 50.0
Tax expense 75.0

The estimated equity funding of the deal at entry is $2,893.52

EV means Enterprise value

EBITDA means Earnings Before Interest, Taxes, Depreciation, and Amortization

Given that the private equity firm estimates that:

Exit EBITDA = 1,200

EV / EBITDA = 11.0x

To derive EV from the EV / EBITDA, then EV / EBITDA is multiplied by EBITDA.

EV = EV / EBITDA * EBITDA (i.e.)

EV = 11 * 1,200

EV = 13,200

Given that the private equity firm estimates the debt to be 5.0x EBITDA at exit.

Debt = 5.0 * EBITDA at exit

Debt = 5.0 * 1,200

Debt = 6,000

To derive the equity value at exit, the debt is subtracted from the EV

Equity value at exit = EV - Debt

Equity value at exit = 13,200 - 6,000

Equity value at exit = 7,200

The equity funding of the deal at entry will be derived using this formula "Equity value at exit / (1 + IRR)^n" where IRR is 20% and n is 5 years

Equity funding of the deal at entry = 7,200 / (1 + 20%)^5

Equity funding of the deal at entry = 7,200 / (1 + 0.20)^5

Equity funding of the deal at entry = 7,200 / (1.20)^5

Equity funding of the deal at entry = 7,200 / 2.48832

Equity funding of the deal at entry = 2893.518518518519

Equity funding of the deal at entry = $2,893.52 (approx).

Learn more about equity funding here

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