M&A Flashcards
Company A, with a P / E of 25x, acquires Company B for a purchase P / E multiple of 15x. Will the deal be accretive?
Can’t know unless its a 100% stock deal. If it is, then the Buyer’s PE reveals that the WCA is 1/25 (4%) vs the Seller’s Yield of 1/15 (6.7%) which shows that it is an accretive deal
Walk me through the full math for the deal now.
Assume that Company A has 10 shares outstanding at a share price of $25.00, and its Net
Income is $10. It acquires Company B for a Purchase Equity Value of $150. Company B has a Net Income of
$10 as well. Assume the same tax rates for both companies. How accretive is this deal?
Company A’s EPS is $10 / 10 = $1.00.
To do the deal, Company A must issue 6 new shares since $150 / $25.00 = 6, so the Combined
Share Count is 10 + 6 = 16.
Since no Cash or Debt were used and the tax rates are the same, the Combined Net Income =
Company A Net Income + Company B Net Income = $10 + $10 = $20.
The Combined EPS, therefore, is $20 / 16 = $1.25, so there’s 25% accretion.
Company A now uses Debt with an Interest Rate of 10% to acquire Company B. Is the deal
still accretive? At what interest rate does it change from accretive to dilutive?
The Weighted Cost of Acquisition would be 10% * (1 – 40%), or 6%, so the deal would still be
accretive because that Cost is less than the Seller’s Yield of 6.7%. 11.1% would make the deal dilutive
How can you tell whether an M&A deal will be accretive or dilutive?
x Cost of Cash = Foregone Interest Rate on Cash * (1 – Buyer’s Tax Rate)
x Cost of Debt = Interest Rate on New Debt * (1 – Buyer’s Tax Rate)
x Cost of Stock = Reciprocal of the Buyer’s P / E multiple, i.e. Net Income / Equity Value.
x Seller’s Yield = Reciprocal of the Seller’s P / E multiple, calculated using the Purchase
Equity Value.
x Weighted Cost of Acquisition = % Cash Used * Cost of Cash + % Debt Used * Cost of Debt + %
Stock Used * Cost of Stock.
If the Weighted Cost is less than the Seller’s Yield, the deal will be accretive, if the Weighted
Cost is greater than the Seller’s Yield, the deal will be dilutive.
What are the Combined Equity Value and Enterprise Value in this deal?
Assume the original 100% Stock structure, and that Equity Value = Enterprise Value for both
the Buyer and Seller.
Combined Equity Value = Buyer’s Equity Value + Value of Stock Issued in the Deal = $250 + $150
= $400.
Combined Enterprise Value = Buyer’s Enterprise Value + Purchase Enterprise Value of Seller =
$250 + $150 = $400.
How do the Combined EV / EBITDA and P / E multiples change if the purchase method
changes?
EV/EBITDA doesn’t change, but P/E do because of stock issued and cash/debt use that affects net income
Without doing any math, what range would you expect for the Combined P / E multiple?
Cannot average them, but you know it will be between 25x-15x, and if there is a big size difference, it’ll be closer to 25x. If they are similar sizes, it will be more in the middle
Now assume that Company A is twice as big financially, so its Equity Value is $500 and its
Net Income is $20. Will a 100% Stock deal be more or less accretive?
The deal is less accretive because the buyer, company A, has a higher weighting, and the yield on the 25x bigger weight drags down the combined EPS
Now do the math. What is the accretion/dilution in a 100% Stock deal?
The Buyer previously represented $250 / $400, or 63%, of the total company, but now it
represents $500 / $650, or 77%, of the total company, so we’d expect the accretion to fall by
around 10-15%.
Company A’s share price is now $50.00, it still has 10 shares outstanding, and its Equity Value is
$500. Its EPS is $20 / 10 = $2.00.
To acquire Company B, Company A must issue 3 additional shares since $150 / $50.00 = 3.
Since both companies have the same tax rate and no Cash or Debt was used, you can add
together the Net Income figures: Combined Net Income = $20 + $10 = $30.
The new share count is 10 + 3 = 13, and $30 / 13 = $2.31. This is about 15% higher than the
Buyer’s standalone EPS ($0.15 is 15% of $1.00, and $0.30 is 15% of $2.00).
So it’s about 10% lower than the 25% accretion when Company A was smaller.
Company A has a P / E of 10x, a Debt Interest Rate of 10%, a Cash Interest Rate of 5%, and
a tax rate of 40%.
It wants to acquire Company B at a purchase P / E multiple of 16x using 1/3 Stock, 1/3 Debt,
and 1/3 Cash. Will the deal be accretive?
No - it will be dilutive. If you do the math, WCA will be 6.33%, but the yield is only 6.25%
Company A has an Equity Value of $1,000 and Net Income of $100. Company B has a
Purchase Equity Value of $2,000 and Net Income of $50.
For a 100% Stock deal to be accretive, how much in synergies must be realized?
Company A’s P / E is $1,000 / $100 = 10x, so its Cost of Stock is 10%. Company B’s P / E is
$2,000 / $50 = 40x, so its Yield is 1 / 40, or 2.5%.
Without synergies, this deal would be highly dilutive.
For the deal to turn accretive, Company B’s Yield must exceed 10%. That means that its
Purchase P / E multiple must be below 10x, which means its Net Income must be above $200
rather than $50.
So there must be $150 in after-tax synergies for this deal to be accretive. At a 40% tax rate,
there must be $250 in pre-tax synergies.
An Acquirer has an Equity Value of $1 billion, Cash of $50 million, EBITDA of $100 million, Net Income of $50 million, and a Debt / EBITDA ratio of 2x. Peer companies have a median Debt / EBITDA ratio of 4x.
It wants to acquire another company for a Purchase Equity Value of $500 million. The Seller has a Net Income of $30 million, EBITDA of $50 million, and no Debt.
What’s the best way to fund this deal?
The Acquirer is unlikely to use Cash due to minimum cash balance.
The Acquirer’s P / E multiple is 20x, so its Cost of Stock is 1 / 20, or 5%.
That’s a fairly low Cost of Stock, so there’s a chance that the company’s After-Tax Cost of Debt might be higher (e.g., if the Interest Rate on Debt were above 8.33%).
However, there’s no information on the Cost of Debt, so our best guess is that Debt is still cheaper than Stock.
The company could afford to boost its Debt / EBITDA from 2x to 4x since peer companies have leverage in that range.
The Combined Company has $150 million in EBITDA, and 4 * $150 million = $600 million.
The Acquirer has $200 million in Debt before the deal takes place, so it could afford to issue $400 million in additional Debt.
The remaining $100 million would be issued in Stock.
An Acquirer has an Equity Value of $500 million, Cash of $100 million, EBITDA of $50 million, Net Income of $25 million, and a Debt / EBITDA ratio of 3x.
Similar companies in the market have Debt / EBITDA ratios of 5x.
What’s the BIGGEST acquisition this company might be able to complete?
The Acquirer couldn’t use its entire Cash balance to fund a deal, but it might be able to use a
substantial portion of it, such as $50 million or $80 million.
It could afford to use leverage up to 5x EBITDA, which means that it could use $100 million in additional Debt to fund a deal. That number might change based on the Seller’s Debt and EBITDA as well.
There’s no limit on how much Stock the company could issue, but it would be unlikely to give up control just to make an acquisition, so $500 million in Stock is likely the maximum.
A more realistic level might be about half its Current Equity Value ($250 million), or whatever amount turns the deal dilutive.
So the best answer is: “In theory, the Acquirer might be able to fund a deal for up to $650 to $700 million. But in reality, unless it wants to issue a massive amount of Stock, the maximum level would be closer to $400 to $650 million.”
An Acquirer with an Equity Value of $500 million and Enterprise Value of $600 million buys
another company for a Purchase Equity Value of $100 million and Purchase Enterprise Value
of $150 million.
What are the Combined Equity Value and Enterprise Value?
The Combined Enterprise Value equals the Enterprise Value of the Buyer plus the Purchase Enterprise Value of the Seller, so it’s $600 million + $150 million = $750 million.
You can’t determine the Combined Equity Value because it depends on the purchase method:
Combined Equity Value = Acquirer’s Equity Value + Value of Stock Issued in Deal.
If it’s a 100% Stock deal, the Combined Equity Value will be $500 million + $100 million = $600 million, but if it’s 100% Cash or Debt, the Combined Equity Value = $500 million.
And if the % Stock Used is above 0% but less than 100%, the Combined Equity Value will be between $500 and $600 million.
How do the Combined Equity Value and Enterprise Value relate to the purchase method?
Enterprise value doesn’t change. But equity value depends on the value of stock issued, which can range from 0 to the purchase equity value of the second company. It depends on the structure of the deal financing.
Let’s say this same Acquirer (Equity Value of $500 million and Enterprise Value of $600 million) has Net Income of $50 million and EBITDA of $100 million.
The Target (Purchase Equity Value of $100 million and Purchase Enterprise Value of $150
million) has Net Income of $10 million and EBITDA of $15 million.
What are the Combined P / E and EV / EBITDA multiples in a 100% Stock deal? Assume the same tax rates for the Acquirer and Target.
The Combined Equity Value in a 100% Stock deal is $500 million + $100 million = $600 million, and the Combined Enterprise Value is $600 million + $150 million = $750 million.
The Combined EBITDA is $115 million, and the Combined Net Income, assuming the same tax rates, is $50 million + $10 million = $60 million.
Therefore, the Combined P / E multiple is $600 million / $60 million = 10x, and the Combined
EV / EBITDA multiple is $750 million / $115 million = ~6.5x.
How would those Combined Multiples change in a 100% Cash or Debt deal?
The Combined EV / EBITDA multiple would stay the same because neither the Combined Enterprise Value nor the Combined EBITDA is affected by the purchase method.
The Combined P / E multiple would change because the Combined Equity Value would be lower, at $500 million, in a 100% Cash or Debt deal.
The Combined Net Income would also change because of the Foregone Interest on Cash and Interest on Debt.
In most cases, the Combined P / E multiple will be lower in a 100% Cash deal because the Combined Equity Value will decline by a greater percentage than the Combined Net Income.
It will also tend to be lower in a 100% Debt deal, but you’d have to run the numbers to see for
sure – if the Interest Rate on Debt is relatively high and the Seller’s P / E multiple is low, the Combined P / E multiple might increase.
What are the possible ranges for the Combined Multiples after a deal takes place?
The Combined Multiples should always be between the Buyer’s multiples and the Seller’s purchase multiples.
No averaging! The Combined Multiples will be closer to the Buyer’s multiples if the Buyer is much bigger, but
they’ll be in the middle of the range if the Buyer and Seller are closer in size.
Consider this M&A scenario:
x Company A: Enterprise Value of $100, Equity Value of $80, EBITDA of $10, Net Income of $4, and Tax Rate of 50%.
x Company B: Enterprise Value of $40, Equity Value of $40, EBITDA of $8, Net Income of $2, and Tax Rate of 50%.
Calculate the EV / EBITDA and P / E multiples for each company.
Company A EV / EBITDA = $100 / $10 = 10x; P / E = $80 / $4 = 20x.
Company B EV / EBITDA = $40 / $8 = 5x; P / E = $40 / $2 = 20x.
Company A acquires Company B using 100% Cash and pays no premium to do so. Assume a 5% Foregone Interest Rate on Cash.
What are the Combined EBITDA and P / E multiples?
Combined EV / EBITDA = Combined Enterprise Value / Combined EBITDA = $140 / $18 = ~7.8x.
Combined P / E = Combined Equity Value / Combined Net Income.
The Combined Equity Value is just the Acquirer’s Equity Value of $80 since no Stock was used.
We can add together both companies’ Net Incomes since they have the same tax rate, so the Combined Net Income is $6. But we have to adjust for the Foregone Interest on Cash as well.
The Acquirer used $40 in Cash, and 5% * $40 = $2. After the 50% tax rate, that’s a $1 loss.
So the Combined Net Income is $5, which makes the Combined P / E = $80 / $5 = 16x.