Finance Formulas

Equity Investments

core

Enterprise Value & EV/EBITDA

EV=Market cap+DebtCashEV = \text{Market cap} + \text{Debt} - \text{Cash}

Reading the notation

Market cap\text{Market cap}
share price × shares outstanding: the market value of the equity slice
Debt\text{Debt}
total borrowings the buyer would assume (market value, ideally)
Cash\text{Cash}
cash and equivalents — recovered by the buyer at once, so it reduces the true price
EVEV
enterprise value: the all-in cost of buying the whole business
EV/EBITDAEV/EBITDA
the takeover price per dollar of pre-financing operating earnings

Why it must be true

Market cap prices only the shareholders' slice. But if you bought the whole company — the takeover thought-experiment — you would also inherit its debts and pocket its cash. Enterprise value is that all-in takeover price: equity, plus the debt you must service, minus the cash you find in the till on day one.

That is why EV/EBITDA beats P/E for comparing differently-financed firms: both sides of the ratio are capital-structure-neutral. EBITDA is the operating cash stream before any financing claims, EV is the price of all the claims together — so a leveraged firm and a debt-free twin with identical operations score the same multiple, as they should.

The derivation

Price the claims, not the shares. A buyer of the entire business acquires:

EV=Market capbuy the equity+Debtassume the borrowingsCashimmediately recoveredEV = \underbrace{\text{Market cap}}_{\text{buy the equity}} + \underbrace{\text{Debt}}_{\text{assume the borrowings}} - \underbrace{\text{Cash}}_{\text{immediately recovered}}

Scaling by the pre-financing earnings stream gives the multiple:

EVEBITDA\frac{EV}{EBITDA}

Both numerator and denominator sit ABOVE the financing line — that alignment is the whole design.

When to reach for it

Valuing or comparing whole businesses regardless of financing — M&A pricing, or any multiple comparison across firms with different leverage.

Listen for

enterprise valueEV/EBITDA multipleincluding the assumption of debtnet debt of …

Back-of-the-envelope

Estimate it in your head first — then the calculator only confirms.

  • Net debt first: Debt − Cash in one step, then add market cap. Negative net debt (cash-rich tech firms) makes EV LESS than market cap — not an error.

  • Multiple bands: mature industrials trade around 6–10× EBITDA; double digits means growth or froth. A computed 40× on ordinary inputs means a units slip.

  • P/E vs EV/EBITDA disagreement is information: a firm cheap on P/E but rich on EV/EBITDA is usually hiding leverage.

Traps in applying it

  • Forgetting to subtract cash — the buyer recovers it, so gross debt alone overstates the price.
  • Comparing EV to NET income — the denominator must also be pre-financing (EBITDA or EBIT), or the ratio mixes claim levels.
  • Using book value of equity instead of market cap in the sum.

Limits & criticisms

EBITDA is a rough cash proxy that ignores capital expenditure entirely — Buffett's jibe ("does management think the tooth fairy pays for capex?") lands hardest on asset-heavy firms where depreciation is a real, recurring cost. EV itself hides off-balance-sheet items (leases, pensions, minority interests) that a real buyer would count, and market-value debt is often quietly proxied by book.

Where it came from

EV multiples came out of the 1980s leveraged-buyout wave: raiders comparing takeover targets needed a price that included the debt they'd assume, and a cash-flow proxy (EBITDA, popularized by John Malone at TCI to flatter his levered cable empire) that ignored how the last owner financed it. Today EV/EBITDA is the default multiple of M&A banking, private equity screens and credit analysis — quoted as casually as P/E, and preferred whenever capital structures differ.

One identity, 2 questions

The exam can hide any variable. Each face below is the same equation solved for a different unknown — drill them separately.

The takeover price

EV=Market cap+DebtCashEV = \text{Market cap} + \text{Debt} - \text{Cash}

The M&A face: what buying the WHOLE business costs once you assume its debts and pocket its cash.

Drill this face →

EV/EBITDA

EVEBITDA\frac{EV}{EBITDA}

The comparison face: price per dollar of pre-financing earnings — leverage-neutral, so differently-financed twins score alike.

Drill this face →

On the BA II Plus

Worked example: Market cap $2,650.00m, debt $220.00m, cash $300.00m, EBITDA $420.00m. What is the EV/EBITDA multiple?

  1. 1.2650 [+] 220 [−] 300 [=]enterprise value first
  2. 2.[÷] 420 [=]per dollar of EBITDA

6.119