Finance Formulas

Financial Statement Analysis

core

Payables Turnover & Days Payables Outstanding

Builds onInventory Turnover & Days of Inventory on Hand — if this page feels steep, start there.

Payables turnover=PurchasesAverage payablesDPO=365Payables turnover\text{Payables turnover} = \frac{\text{Purchases}}{\text{Average payables}} \qquad DPO = \frac{365}{\text{Payables turnover}}

Reading the notation

Purchases\text{Purchases}
what the company bought from suppliers this period (COGS is the usual stand-in when purchases aren't disclosed separately)
Average payables\text{Average payables}
the accounts-payable balance, averaged between the start and end of the year
Payables turnover\text{Payables turnover}
how many times per year the average payables balance was settled and re-incurred
DPODPO
days payables outstanding: the average time the company takes to pay its own suppliers

Why it must be true

Every dollar owed to a supplier is a dollar of free financing — until it's paid. Payables turnover asks: how many times per year does the company settle up and re-borrow from its suppliers? A LOW turnover here is the company's friend: it means bills are outstanding longer, and the company is quietly using supplier credit instead of its own cash.

This is the one ratio in the working-capital trio that runs backwards from the other two: fast collection (high receivables turnover) and fast restocking (high inventory turnover) are good; fast paying is not automatically good — it just means less free financing. DPO restates the same fact as an average number of days the company takes to pay its bills.

The derivation

Purchases — what the company bought from suppliers this period — flow through the payables balance, the same way COGS flows through inventory. Compare that flow to the average balance owed:

Payables turnover=PurchasesAverage payables\text{Payables turnover} = \frac{\text{Purchases}}{\text{Average payables}}

(When purchases aren't separately disclosed, COGS is the standard stand-in, since for a period with no inventory build, purchases and COGS roughly coincide.)

Convert the cycle count into an average days-to-pay figure the same way as the other two ratios:

DPO=365Payables turnoverDPO = \frac{365}{\text{Payables turnover}}

When to reach for it

Judging how much free financing a company draws from its suppliers, or completing the cash conversion cycle alongside receivables and inventory measures.

Listen for

payables turnover / accounts payable turnoverdays payables outstanding (DPO)how long the company takes to pay supplierssupplier financing / trade credit

Back-of-the-envelope

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

  • Direction check: for payables, LOWER turnover (higher DPO) is the favorable direction for the paying company — the opposite of receivables and inventory turnover.

  • If purchases aren't given directly, COGS is the standard substitute — flag this assumption rather than hunting for a purchases figure that isn't there.

  • Turnover × DPO ≈ 365 is the same round-trip check as the other two working-capital ratios.

Traps in applying it

  • Treating a rising DPO as automatically bad, the way a rising DSO would be — stretching payables (within reason) is financing, not distress.
  • Using the ending payables balance instead of the average.
  • Forgetting that an unsustainably stretched DPO can signal the opposite of strength — a company so cash-strapped it is straining supplier relationships.

Limits & criticisms

A very high DPO can mean supplier-friendly negotiating strength — or a company quietly failing to pay its bills, and the ratio alone cannot distinguish the two; supplier commentary and covenant language often tell the difference the ratio can't. It is also, like the other turnover ratios, an average that hides the mix — a company can stretch small suppliers hard while paying a critical one promptly, and the blended DPO shows neither extreme.

Where it came from

Trade credit is one of the oldest forms of financing in commerce, and DPO's modern prominence traces to the cash conversion cycle framework (Richardson & Laughlin, 1980), which needed a "days" figure for supplier financing to net against the days tied up in receivables and inventory. It became a boardroom metric in its own right once companies like Dell and Amazon showed that deliberately stretching DPO — while keeping suppliers willing to sell — could fund growth almost for free.

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.

Times settled per year

Payables turnover=PurchasesAverage payables\text{Payables turnover} = \frac{\text{Purchases}}{\text{Average payables}}

The efficiency face: how many times a year the company settles and re-incurs its supplier balance.

Drill this face →

Days to pay

DPO=365Payables turnoverDPO = \frac{365}{\text{Payables turnover}}

The calendar face: the same cycle speed, read as an average number of days before the company pays.

Drill this face →

On the BA II Plus

Worked example: Purchases were $675.00m; payables stood at $30.00m at the start of the year and $80.00m at the end. How many days payables outstanding does that imply?

  1. 1.(30 [+] 80) [÷] 2 [=]average payables
  2. 2.675 [÷] [RCL] [=]payables turnover
  3. 3.365 [÷] [RCL] [=]days payables outstanding

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Where it leads

Master this and the following come almost for free: