Finance Formulas

Financial Statement Analysis

core

Cash Conversion Cycle

Builds onCurrent & Quick Ratios — if this page feels steep, start there.

CCC=DOH+DSODPOCCC = DOH + DSO - DPO

Reading the notation

DOHDOH
days of inventory on hand: how long goods sit before being sold
DSODSO
days sales outstanding: how long customers take to pay after the sale
DPODPO
days payables outstanding: how long the company takes to pay its own suppliers
CCCCCC
net days a dollar is trapped in operations — the financing gap the company must fund

Why it must be true

Follow one dollar through the operating machine. It leaves as cash when you pay a supplier, sits in the warehouse as inventory (DOH days), then sits in a customer's IOU as a receivable (DSO days) before coming home. But you didn't pay the supplier on day zero — they extended you DPO days of credit, which offsets part of the wait.

The cash conversion cycle is the net number of days a dollar is trapped in the operation: days holding inventory, plus days waiting to collect, minus days the suppliers financed for free. Shorter is cheaper — and a negative CCC (Amazon, Dell in its heyday) means customers and suppliers finance the business: it collects cash before its own bills come due.

The derivation

Lay the three intervals on a timeline starting when inventory arrives:

0DOHgoods sitDOHDOH+DSOcustomer owescash finally in at DOH+DSO\underbrace{0 \to DOH}_{\text{goods sit}} \quad \underbrace{DOH \to DOH + DSO}_{\text{customer owes}} \quad \text{cash finally in at } DOH + DSO

Cash went OUT when the supplier was paid, at day DPODPO. The financing gap is the difference between cash-in and cash-out dates:

CCC=(DOH+DSO)DPOCCC = (DOH + DSO) - DPO

Each component is itself a turnover ratio flipped into days (e.g. DSO=365/receivables turnoverDSO = 365 / \text{receivables turnover}) — days outstanding and turnover are the same fact in different units.

When to reach for it

Measuring working-capital efficiency: how many days of operations the company must finance between paying suppliers and collecting from customers.

Listen for

cash conversion cycle / operating cycledays of inventory, receivables, payablesworking capital efficiencyhow long is cash tied up

Back-of-the-envelope

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

  • Signs by story, not memory: the two waits (inventory, receivables) hurt and ADD; the supplier's loan helps and SUBTRACTS.

  • The operating cycle is the two waits alone (DOH + DSO); CCC is the operating cycle minus DPO. If a question gives the operating cycle, one subtraction finishes it.

  • Benchmarks: efficient retail runs weeks; heavy manufacturing months; a negative answer is rare, real, and means suppliers+customers finance the firm.

Traps in applying it

  • Adding DPO instead of subtracting — supplier credit REDUCES the days the company must finance.
  • Confusing the operating cycle (DOH + DSO) with the cash cycle (which nets off DPO).
  • Comparing CCCs across industries as if differences were management skill — a grocer and a shipbuilder live on different clocks.

Limits & criticisms

A company can shrink its CCC in ways that damage the business: stretching payables bullies suppliers (and can cost early-payment discounts), slashing inventory invites stockouts, and aggressive collection sours customers. The measure also averages across product lines and seasons — a retailer's year-end snapshot can flatter or slander the true year-round cycle.

Where it came from

The cycle was formalized by Richardson and Laughlin (1980) as a liquidity measure that moves, unlike the static current ratio — but the discipline it captures is ancient trade credit practice. It became famous when analysts noticed Dell's negative cycle in the 1990s: customers paid for PCs before Dell paid for the parts, so growth generated cash instead of consuming it. Today CCC is the core working-capital KPI in treasury departments, private-equity operating playbooks and retail analysis.

One identity, 1 questions

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

The financing gap in days

CCC=DOH+DSODPOCCC = DOH + DSO - DPO

The treasury face: the number of days of operating cash the company must find funding for — the working-capital bill, in time units.

Drill this face →

On the BA II Plus

Worked example: From the working-capital ratios: DOH 80 days, DSO 20 days, DPO 55 days. How many days of operations must the company finance?

  1. 1.80 [+] 20 [=]the operating cycle (both waits)
  2. 2.[−] 55 [=]net off the supplier's free loan

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