LBO Returns Analysis question (not for the faint of heart)

Ok, so this has been driving me nuts and I can't figure out the answer, this is a fairly detailed question so if you don't have time to bang your head against the wall i wouldnt look.

In order to back into an "implied purchase price" of equity given a target IRR, i have built a list that goes like this:

Terminal Multiple Terminal EBITDA IRR

Implied TEV less terminal net debt Implied Equity

Sponsor Contribution to get IRR = Implied equity *(1+IRR)^t plus excess cash plus new debt Total Sources = sum of the 3 above

less refinanced debt less fees and expenses Implied purchase price of equity = total sources less the refi'd debt and fees/expenses above

Now here is where the issue is:

When you check the validity of the output by changing your "equity purchase price" line item in your sources/uses table in the assumptions page to be what the model above spits out, the model's return IRR is not exactly what your target IRR is. The difference is resulting from some type of relationship between the sponsor equity contribution, and equity purchase price. I.E. when you change your sources/uses table equity purchase price to what the model gave you above, the sources/uses table's "sponsor equity contribution" will change, but not match exactly the sponsor equity contribution implied by the model above (the sponsor contribution PV'd at the target IRR). I think because in the sources/uses table, "sponsor equity" is the plug, and in the target IRR model above, "equity purchase price" is the plug, the model doesn't iterate perfectly.

In any event, if the target IRR is b/w 15-25%, as typical for LBO's, the difference between the models actual IRR once you change the equity purchase price to what the model spits out above, and the model's "target IRR", is small, maybe 1%-2% at most - but this mushrooms if your target IRR is much higher, say 50+ (which although rare still implies something is amiss in the model).

I realize that explaining this is pretty difficult in text so I will send my model to those who request.

Thank in advance.

6 Comments
 
Best Response

Your Solver-enabled model is in your inbox. For the rest of the monkeys out here, this is a Solver/paste values macro:

Sub irr_Refresh() 'IRR Solver Macro Worksheets("Returns").Activate 'Activate the Returns Worksheet Range("m_goalseek").Value = 1 'Turn on Solver mode Dim i As Range 'dimension a cell variable (known as a Range var) - to hold our target IRR For Each i In Range("irrt.1", Range("irrt.1").End(xlToRight)) 'loop through all target IRR from the first one (defined as irrt.1), until the first blank cell SolverOk SetCell:="IRR", MaxMinVal:=3, ValueOf:=i.Value, ByChange:="m_goalseek_pr" 'set up solver SolverSolve True 'run solver, True suppresses dialog at the end i.Offset(1, 0).Value = Range("m_goalseek_pr").Value 'save the solved price right below the IRR Next 'loop Range("m_goalseek").Value = 0 'turn off Solver Mode End Sub

Names: m_goalseek - takes a value of one or zero, one is solver mode, zero is ordinary model mode irrt.1 - the first in a series of target IRR IRR - the cell that calculates IRR m_goalseek_pr - the price that Solver returns

Notes:

  • m_goalseek_pr and IRR must be on the same worksheet - usually an LBO model isn't set up that way, so you should switch between an input share price and the actual share price used throughout your model.
  • Solver can work through circ references. GoalSeek cannot.
  • To use Solver in VBA, you need to add a reference to Solver under Tools-References in the VBA editor.
 

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