McKinsey Case Interview Prep

Finance & Formulas
for CS Students

Everything pulled from real case books โ€” explained simply with examples so you can apply it on the spot.

Haas 2015-16 Duke Fuqua 2018-19 Wharton 2017
00 โ€” Foundation

The One Formula That Runs Every Case

๐Ÿง  The Profit Equation
FORMULA

Every single case that involves a struggling business reduces to this. Before anything else, burn this into your memory.

Profit = Revenue โˆ’ Cost
Revenue = Price ร— Volume
Cost = Fixed Costs + Variable Costs

Think of it like a program: profit() is the function. It takes two inputs: revenue and cost. When profit is declining, you debug by checking both inputs. From the Haas case book: "Profit is a function of Revenue and Costs" โ€” that's literally what interviewers write in their guide notes.

๐Ÿ–ฅ CS Analogy

Think of a company like a system. Revenue is the input throughput (price ร— volume = how fast you process tickets ร— how much you charge per ticket). Costs are your overhead (fixed = servers you always pay for; variable = compute you use per request). Profit is net output. When output shrinks, you debug: is input down, or did overhead spike?

Profit (ฯ€) = Revenue โˆ’ Costs
โ”œโ”€โ”€ Revenue = Price ร— Volume
โ”œโ”€โ”€ Price โ†’ list price, discounts, mix
โ””โ”€โ”€ Volume โ†’ # of customers ร— units/customer
โ””โ”€โ”€ Costs = Fixed + Variable + Other
โ”œโ”€โ”€ Fixed โ†’ rent, salaries, depreciation
โ”œโ”€โ”€ Variable โ†’ COGS, shipping per unit
โ””โ”€โ”€ Other โ†’ interest, taxes
01 โ€” The Income Statement

Reading a P&L in 60 Seconds

๐Ÿ“„ Income Statement (P&L)
STRUCTURE

The income statement is the single most important document in case interviews. You'll be handed one and asked "what do you notice?" Here's the full structure from the Haas case book:

Line ItemAlso CalledWhat it meansExample ($M)
Sales / RevenueTop LineWhat you charge customers$1,000
โˆ’ Cost of Goods SoldCOGSDirect cost to make the productโˆ’$500
= Gross ProfitGross MarginRevenue minus what you spent making it$500
โˆ’ Operating ExpensesOpEx / SG&ACost to run the business (marketing, rent, salaries)โˆ’$200
= Operating ProfitEBITProfit from core operations$300
โˆ’ Non-Operating ExpenseInterest, etc.Costs not from running the businessโˆ’$30
= Pre-Tax IncomeEBTProfit before government takes its cut$270
โˆ’ Taxes~30-35%Government's shareโˆ’$81
= Net IncomeBottom LineWhat the company actually keeps$189
๐Ÿ’ก

Interview move: When handed a P&L, immediately compute margins for each line (divide by revenue). This tells you where the problem is. In the CoffeeCo case, gross margin was flat at 50% but OpEx margin was rising โ€” that's your smoking gun.

02 โ€” Margins

The Percentages Interviewers Love

๐Ÿ“Š Gross Margin
RATIO

How much you keep after paying to make the product. A software company might have 80%+ gross margins because each extra user costs almost nothing. A grocery store might have 25%.

Gross Margin = (Revenue โˆ’ COGS) / Revenue ร— 100%
๐Ÿ“ฆ Example โ€” from Wharton case book

A clothing store has Revenue = $125M, COGS = $87.5M

Gross Margin = ($125M โˆ’ $87.5M) / $125M = 30%

This means for every $1 of clothing sold, 30 cents goes toward running the business and profit.

โš™๏ธ Operating Margin
RATIO

After paying both COGS and operating expenses (rent, salaries, marketing). This is your profit from actually running the business.

Operating Margin = Operating Profit / Revenue ร— 100%
โœˆ๏ธ Example โ€” from Duke case book (Sardine Airlines)

Revenue = $2,143M, Net Income = $371M

Net Margin = $371 / $2,143 = ~17%

The CEO wanted 20%. The case was about finding what's eating into that 3% gap โ€” it turned out to be SG&A rising from 15% to 20% of revenue.

๐Ÿ’ฐ EBITDA & EBITDA Margin
METRIC

EBITDA stands for Earnings Before Interest, Taxes, Depreciation, and Amortization. It's used everywhere in M&A and valuation because it strips out financing and accounting choices to show how profitable the core business is. Think of it as "cash profit from operations."

EBITDA = Net Income + Interest + Taxes + Depreciation + Amortization
EBITDA Margin = EBITDA / Revenue ร— 100%
๐Ÿ› Example โ€” from Haas case book (ComfortFoam mattress company)

ComfortFoam: Revenue = $1.7B, EBITDA Margin = 12%

EBITDA = $1.7B ร— 12% = $204M

A competitor had 19% EBITDA margin and a Price-to-EBITDA multiple of 14.9 vs ComfortFoam's 8.9 โ€” that's why the competitor was valued much higher despite lower revenue. EBITDA margin matters for valuation.

๐Ÿ’ก

When you see EBITDA in a case: It's usually being used to value a company. Multiply EBITDA ร— a multiple (e.g. 8x) to get company value. More on this in the Valuation section.

03 โ€” Cost Types

Fixed vs. Variable Costs

๐Ÿ”’ Fixed Costs
CONCEPT

Costs that don't change with volume. You pay them regardless of whether you sell 1 unit or 1 million units. Like a cloud server you rent regardless of traffic.

Examples: Rent, Salaries, Insurance, Depreciation, Equipment leases
๐ŸŒฑ Example โ€” from Haas case book (Jamaican Land Investment)

The farm has Fixed Cost = $500 initial setup + $350/year salary (labor).

Even if you grow zero plants, you still owe $350/year. This is why scale matters โ€” spreading fixed costs over more units lowers the cost per unit.

๐Ÿ“ˆ Variable Costs
CONCEPT

Costs that scale with production. Like AWS bills that go up when more users hit your API. In manufacturing, variable costs are typically the raw materials and direct labor per unit.

Total Variable Cost = Variable Cost per Unit ร— Number of Units
Total Cost = Fixed Cost + Variable Cost
๐ŸŒบ Example โ€” from Haas case book (Jamaican farm)

Exotic Flowers: Price per plant = $25, Variable Cost per plant = $17

Margin per plant = $25 โˆ’ $17 = $8
50 plants/acre ร— $8 = $400 profit per acre

The interviewer expected you to rank crops by profit-per-acre to decide which to grow.

๐Ÿ’ก

Key insight: When a company increases production, fixed costs per unit go down (economies of scale), but total variable costs go up proportionally. This is why in many cases, growing volume is the answer โ€” you spread fixed costs over more units.

โš–๏ธ Break-Even Analysis
FORMULA

Break-even is the volume you need to sell just to cover all costs (zero profit). Super common in market entry cases: "Is it worth entering this market?"

Break-Even Volume = Fixed Costs / (Price โˆ’ Variable Cost per Unit)

Note: (Price โˆ’ Variable Cost) = "Contribution Margin per Unit"
๐ŸŒž Example โ€” from Haas case book (SunFury solar)

Solar panels: Launch cost (fixed) = $35M, Profit per panel = $5, Market = 22.5M panels

Break-even units = $35M / $5 = 7,000,000 panels

At 10% market share = 2.25M panels ร— $5 = $11.25M profit. That's less than the $35M launch cost โ†’ they LOSE money. This was the key insight that led to "don't enter."

04 โ€” Profitability Framework

How to Diagnose Declining Profits

๐Ÿ” The Profitability Drill-Down
METHOD

When a company's profits are declining, here is the exact process interviewers expect. This appeared in virtually every case book.

Step 1: Is it Revenue or Cost?
Step 2: If Revenue โ†’ is it Price or Volume?
Step 3: If Volume โ†’ which product/segment/region?
Step 4: If Cost โ†’ is it Fixed or Variable? Which line item?
โ˜• Example โ€” CoffeeCo from Haas case book

Clue 1: Revenue is declining โ†’ drill into price vs. volume

Clue 2: Volume per store is down only at new stores โ†’ drill into why

Answer: New stores can't sell sandwiches (kitchen permits) โ†’ lower revenue per store

Clue 3: Gross margin is fine (50%), but OpEx margin rose โ†’ drill into OpEx

Answer: New store labor costs higher due to overtime โ†’ fix scheduling

๐Ÿ’ก

Margin math trick: Always convert dollar figures to percentages of revenue. A cost going from $200 to $500 sounds bad, but if revenue went from $1,000 to $1,800, the margin actually stayed flat. That's what interviewers look for you to catch.

05 โ€” Valuation

How Much Is a Company Worth?

๐Ÿท๏ธ EBITDA Multiple (Comparable Company Analysis)
METHOD

The fastest way to value a company in a case. Find similar public companies, look at their Price/EBITDA multiple, and apply it. It's like saying "my startup is like Stripe, and Stripe trades at 30x earnings, so I'm worth 30x mine."

Company Value = EBITDA ร— Multiple (P/EBITDA)

Typical multiples appear in the case data. Common range: 6xโ€“15x
๐Ÿ“บ Example โ€” Duke case book (Activist Action, CPG company)

The benchmark: FV/EBITDA = 3.5 (given in the case)

Silky Sweets brand: Revenue = $12B, EBITDA Margin = 25%

EBITDA = $12B ร— 25% = $3B
Value = $3B ร— 3.5 = $10.5B

The company recommended selling Silky Sweets for $10.5B to return cash to shareholders.

๐Ÿ“ DCF โ€” Discounted Cash Flow
METHOD

The idea: money today is worth more than money tomorrow (because you can invest it). DCF calculates how much future cash flows are worth in today's dollars. This is the "real" valuation method but you rarely calculate the full thing in a case โ€” you just need to know the concept.

Value = Future Cash Flow / Discount Rate (r)

Or simplified for perpetuity: Value = Annual Profit / r

More precisely: Value = Annual Profit / (r โˆ’ g)
where g = expected growth rate
๐ŸŽฌ Example โ€” Duke case book (Mapflix entering Nigeria)

Post-tax profit = $13.5M/year, WACC (discount rate) = 15%, Growth = 5%

Terminal Value = $13.5M / (15% โˆ’ 5%) = $13.5M / 10% = $135M
NPV = $135M โˆ’ $90M investment = $45M (positive โ†’ do the deal)
๐Ÿ’ก

WACC = Weighted Average Cost of Capital. Think of it as the minimum return the company needs to earn to satisfy its investors and debt holders. When discount rate goes up โ†’ valuation goes down.

๐Ÿ”ข NPV โ€” Net Present Value
FORMULA

NPV tells you whether an investment is worth it. If NPV > 0, the investment earns more than your cost of capital โ†’ do it. If NPV < 0 โ†’ don't do it.

NPV = Present Value of All Future Cash Flows โˆ’ Initial Investment

Simple version: NPV = (Annual Profit / Discount Rate) โˆ’ Upfront Cost
๐ŸŒฟ Example โ€” Duke case book (Going Green / marijuana dispensaries)

Washington dispensary: Annual Cash Flow = $750K/store, Discount Rate = 10%

Value per store = $750K / 10% = $7.5M
30 stores: Total value = $225M
Purchase cost = 30 ร— $1.5M = $45M
NPV = $225M โˆ’ $45M = $180M โœ… (invest!)
06 โ€” Investment Analysis

Should We Make This Investment?

โฑ๏ธ Payback Period
FORMULA

The simplest investment test: how many years until you get your money back? McKinsey cases frequently give you a threshold (e.g., "board requires payback in under 5 years") and ask you to check if the investment clears it.

Payback Period = Initial Investment / Annual Profit (or Annual Savings)
๐ŸŽช Example โ€” Wharton case book (Caesars / Penn & Teller)

Switching to a new show costs $2.4M upfront, saves $600K/year more profit

Payback = $2.4M / $600K = 4 years

The interviewer notes this is "too long" in a competitive Vegas market โ€” recommendation was to stay with current show.

โ› Example โ€” Wharton case book (Iron ore mine expansion)

Investment = $3B, additional annual profit = $690M

Payback = $3B / $690M = ~4.3 years โ†’ under 5-year threshold โœ…
๐ŸŽฏ ROIC โ€” Return on Invested Capital
RATIO

How much profit you generate per dollar invested. The higher, the better. Think of it like the interest rate your investment earns.

ROIC = Net Income / Capital Invested ร— 100%

Or: ROIC = (Value of Investment / Initial Investment) โˆ’ 1
๐Ÿš— Example โ€” Haas case book (AlphaAuto electric vehicles)

Economy segment, high price, retrofit facility:

15,000 units ร— ($32K โˆ’ $24K) margin = $120M gross profit
Less OpEx (5% ร— $480M revenue) = $24M
Net Income = $120M โˆ’ $24M = $96M... โ†’ wait, let me use the book's numbers:
Net Income = $135M, Investment = $1B
ROIC = $135M / $1B = 13.5% โ† best option
๐Ÿ›ฃ Example โ€” Wharton case book (Brazilian highway concessions)

Primary investment: Value = $210M, Initial Investment = $150M

ROIC = ($210M / $150M) โˆ’ 1 = 40%

M&A option had ROIC of only 20% โ†’ primary investment wins

๐Ÿ“‹ Profitability Index (for Capital Rationing)
FORMULA

When you have limited capital and must choose between multiple projects, rank them by NPV per dollar invested. Pick the highest-ranked ones until you run out of money.

Profitability Index = NPV / Capital Investment Required

Rank projects highest โ†’ lowest. Fund until budget runs out.
๐Ÿ’Š Example โ€” Duke case book (Goodbye Horses / pharma)

Company has $14.7B to invest. 6 projects available:

Project A: $10B NPV / $9B = 1.11
Project B: $10B NPV / $6B = 1.67 โ† highest!
Project C: $7B NPV / $5B = 1.40
Project D: $5B NPV / $4B = 1.25
Project E: $5B NPV / $3B = 1.67 โ† tied for highest!
Fund B + C + E = $6B + $5B + $3B = $14B โ†’ under budget โœ… โ†’ NPV = $22B
07 โ€” Pricing Strategy

How to Think About Setting a Price

๐Ÿ’ฒ Three Approaches to Pricing
METHOD

In any pricing case, structure your thinking around these three lenses:

1. Cost-Plus Pricing: Price = Cost + Desired Margin
2. Value-Based Pricing: Price = Customer's Willingness to Pay (WTP)
3. Competitive Pricing: Price = Competitor's Price ยฑ premium/discount
๐Ÿฉธ Example โ€” Haas case book (LifeRenew blood substitute)

Vet clinics mark up products 100% (they pay $X, sell for $2X).

If LifeRenew charges $200/unit โ†’ vets sell at $400/unit.

The case asks: what price maximizes LifeRenew's revenue while keeping vets happy and still getting adoption?

Recommendation: $200/unit based on value vs. existing alternatives.

๐Ÿ’Š Example โ€” Duke case book (Fringe Science / pharma pricing)

Drug priced at: Discount ($5), Parity ($10), or Premium ($15)

Premium strategy: 50% of hospitals ร— $15 ร— 1.5B doses = $11.25B revenue
Parity strategy: 60% ร— $10 ร— 1.5B doses = $9B revenue

Premium wins despite lower market share โ†’ price effect outweighs volume loss.

๐Ÿ’ก

Price elasticity intuition: If demand barely drops when you raise price โ†’ raise price. If demand collapses โ†’ don't. In the pharma case, premium pricing only reduced hospital adoption slightly, so it was worth it.

08 โ€” Market Math

Revenue & Market Share Calculations

๐ŸŒ Market Size โ†’ Revenue
FORMULA

Common calculation chain in market entry cases: start from total market, apply your expected market share, get your revenue.

Total Market Revenue = # of customers ร— Price per unit
Your Revenue = Total Market Revenue ร— Your Market Share %
๐Ÿš— Example โ€” Haas case book (AlphaAuto electric vehicles)

Total EV units forecast 2018 = 400,000

Economy segment (75%): 300,000 units
AlphaAuto share (10%): 30,000 units
At $30K/car: Revenue = 30,000 ร— $30K = $900M
๐Ÿ“ก Example โ€” Haas case book (MexTell telecom valuation)

1.5M Premium users ร— $100/month ร— 12 months = $1.8B annual revenue

This feeds into a DCF to value MexTell at $7.6B โ†’ above $6B threshold โ†’ recommend the acquisition.

๐Ÿช Unit Economics
FORMULA

Unit economics = profitability at the level of one unit sold. Mastering this lets you quickly size up whether a business makes sense. Think: "what's the profit on one beer barrel, one shoe, one parking meter?"

Profit per Unit = Price โˆ’ Variable Cost per Unit
Total Profit = (Price โˆ’ VC) ร— # Units โˆ’ Fixed Costs
๐Ÿบ Example โ€” Duke case book (Duck Island Beer)

Price = $10 per 6-pack, 660,000 bottles total

Revenue = $10 / 6 bottles ร— 660,000 bottles = $1.1M
Cost per bottle (import): $0.50 brewing + $0.50 shipping + $1/6 tariff = ~$1.17/bottle
Total cost = $1.17 ร— 660,000 = $770,000
Profit = $1.1M โˆ’ $0.77M = $330,000 โœ…

Quick Reference

All Formulas at a Glance

Profit
Revenue โˆ’ Costs
Revenue
Price ร— Volume
Gross Margin %
(Rev โˆ’ COGS) / Rev
Operating Margin %
Op. Profit / Revenue
Net Margin %
Net Income / Revenue
EBITDA
Net Income + Interest + Taxes + D&A
Company Value
EBITDA ร— Multiple
Perpetuity Value
Cash Flow / (r โˆ’ g)
NPV
PV(Cash Flows) โˆ’ Investment
Payback Period
Investment / Annual Profit
Break-Even Volume
Fixed Cost / (Price โˆ’ Var Cost)
ROIC
Net Income / Capital Invested
Market Revenue
Market Size ร— Price ร— Share
Profitability Index
NPV / Capital Required
Variable Cost Total
VC per unit ร— # Units
Profit per Acre
Units/acre ร— (Price โˆ’ VC)
09 โ€” Interview Strategy

How to Use This in the Room

๐ŸŽ“ The 5-Step Financial Analysis Playbook
STRATEGY
Step 1 โ†’ When profits decline: split into Revenue vs. Cost
Step 2 โ†’ Revenue issue: split into Price vs. Volume vs. Mix
Step 3 โ†’ Cost issue: split into Fixed vs. Variable vs. which line
Step 4 โ†’ Convert everything to margins (รท by Revenue)
Step 5 โ†’ Compare to prior year OR competitor benchmark

From the Haas book: "Revenue โ†’ P ร— Q. Cost โ†’ F + V. Margin โ†’ each divided by Revenue." These three rows are what every interviewer has in their guide notes.

๐Ÿš€

For a CS student: Treat financial analysis like debugging. The income statement is your stack trace. Margins are your metrics dashboard. You're narrowing down which function is causing the performance regression. That framing will help you stay calm and structured.

๐Ÿ“Š

When given an exhibit with lots of data: Don't read every number. First compute margins (each row รท revenue). Then look for what changed year-over-year. The outlier is usually your answer. In Sardine Airlines: SG&A jumped from 15% โ†’ 20% of revenue while everything else was stable. That's it โ€” that's the whole case.