足ることを知らず

Data Science, global business, management and MBA

Day 134 MIT Sloan Fellows Class 2023, M&A and PE 9 "LBO modeling"

LBO modeling

Leveraged Buyout (LBO) modeling is a key tool used by private equity (PE) firms to evaluate the potential acquisition of a company using a significant amount of debt. The goal is to achieve high returns by using leverage, improving the target company's operations, and eventually exiting the investment through a sale or public offering. Here's a step-by-step guide to the LBO modeling process:

 

  1. Sourcing the target company:
    The first step is to identify a suitable target company with strong cash flows, manageable debt levels, and potential for operational improvement. Criteria may also include industry trends, competitive positioning, and growth potential.
  2. Developing the transaction assumptions:
    Private equity firms need to make key assumptions about the deal, including the purchase price, transaction structure (debt and equity mix), and financing sources (senior debt, subordinated debt, mezzanine financing, or equity). These assumptions will influence the model's output and must be based on market conditions, target company fundamentals, and investor preferences.
  3. Building the historical financial statements:
    Construct the target company's historical financial statements, including the income statement, balance sheet, and cash flow statement. This will provide a foundation for forecasting the company's future performance and help identify trends and areas for operational improvement.
  4. Forecasting future financial performance:
    Using the historical financial statements as a starting point, forecast the target company's financial performance for a period of 5-7 years. Key assumptions will include revenue growth, margin improvements, working capital requirements, capital expenditures, and taxes.
  5. Determining the appropriate capital structure:
    Based on the transaction assumptions, determine the target company's new capital structure, which will include the debt and equity mix used to finance the acquisition. Consider factors such as debt serviceability, interest coverage, and credit ratings when deciding on the debt levels.
  6. Modeling the debt repayment schedule:
    Develop a debt repayment schedule based on the terms and conditions of the debt facilities, including interest rates, amortization, and maturity. This will affect the target company's cash flows and the private equity firm's return on investment.
  7. Calculating the free cash flow to equity (FCFE):
    Calculate the free cash flow to equity, which is the cash flow available to equity investors after accounting for all operational expenses, taxes, capital expenditures, and debt service. This is a crucial metric to assess the target company's ability to service its debt and generate returns for equity investors.
  8. Estimating the exit value:
    To determine the potential return on investment, private equity firms need to estimate the target company's exit value at the end of the investment horizon. This can be done using valuation multiples (such as EV/EBITDA) or the discounted cash flow (DCF) method.
  9. Calculating the internal rate of return (IRR) and cash-on-cash multiple:
    Using the FCFE, exit value, and initial investment, calculate the internal rate of return (IRR) and cash-on-cash multiple. These metrics are used to evaluate the attractiveness of the investment and compare it to other potential opportunities.
  10. Sensitivity analysis:
    Perform sensitivity analysis on key assumptions to understand the impact of changes in variables such as purchase price, growth rates, and exit multiples on the investment's IRR and cash-on-cash multiple. This helps identify potential risks and opportunities in the investment.

Operating Projection example

 

  Buy       Exit  
  y1 y2 y3 y4 y5  
Revenue $2,000 $2,200 $2,420 $2,662 $2,928  
Adjusted EBITDA   $242 $290 $346 $410  
Margin   11% 12% 13% 14%  
Annual Growth   10% 10% 10% 10%  
             
Operating Income   $142 $190 $246 $310  
Pro Forma Taxes   -$58 -$78 -$101 -$127 41%
NOPAT   $84 $112 $145 $183  
Depreciation & Amortization $100.00 $100 $100 $100 $100  
Capital Expenditures   -$120 -$120 -$120 -$120  
Changes in NWC   $20 $20 $20 $20  
Cash Flow   $84 $112 $145 $183  

 

Important points

  • What is the improvement opporunities? growth? margin?

Sources and Uses of funds

Uses of Funds    
Price per share $10.00 $12.00
Shares outstanding 80 80
Cost of shares $800.00 $960.00
Existing notes $450.00 $450.00
Less cash -$300.00 -$300.00
Fees and expenses $80.00 $80.00
Total Use of Funds $1,030.00 $1,190.00
     
Sources of Funds    
Total Debt after deal $800 $800
Sponsor equity $230 $390
Total Sources of Funds $1,030 $1,190
     
Buyer Metrics    
Adjusted EBITDA $210 $210
Debt to Value ratio 77.67% 67.23%
Debt to EBITDA ratio 3.81 3.81
EV to EBITDA ratio 4.90 5.67

 

 

Simple LBO projection

  Buy       Exit  
  y1 y2 y3 y4 y5  
Revenue $2,000 $2,200 $2,420 $2,662 $2,928  
Adjusted EBITDA $210 $242 $290 $346 $410  
Margin   11% 12% 13% 14%  
Annual Growth   10% 10% 10% 10%  
             
Operating Income   $142 $190 $246 $310  
Interest payment(8.8%)   -$70.4 -$66.7 -$60.3 -$50.6  
Pro Forma Taxes   -$29 -$51 -$76 -$106 41%
Net Income   $42 $73 $110 $153  
Depreciation & Amortization $100.00 $100 $100 $100 $100  
Capital Expenditures   -$120 -$120 -$120 -$120  
Changes in NWC   $20 $20 $20 $20  
Cash Flow   $42 $73 $110 $153  
             
Beggining Net Debt   800 $758 $685 $575  
Ending Net Debt 800 $758 $685 $575 $422  

 

After paying down debt, what is the debt and EV at exit date?

  • Paydown
  • EV/EBITDA multiples
  • Net value for PE funds

The only two variables you need to use. 

  • Ending Net debt at exit date
  • EBITDA at exit date

Exit Value Information

Exit Value information
Deal Prices with 20% IRR
 
Exit multiples 7.5 8
Projected EBITDA $410 $410
EV at exit $3,075 $3,280
Net Debt -$422 -$422
Exit value for Equity $2,652 $2,857
Mgt options(7.5%) -$199 -$214
Net Value for PE funds $2,454 $2,643
     
Present Value at 20% IRR $986 $1,062
Net Debt raised in the deal 350 350
Excess cash used in the deal 300 300
Less Deal fees -80 -80
Funds Available to buy shares $1,556 $1,632