Cost of trade credit
Skipping a prompt-payment discount is borrowing from the supplier: you pay the discount to keep the cash for the extra days. Turn it into an effective annual rate, (1 + d/(1 − d))^(365/extra days) − 1, and compare it with a bank loan. The cost is often surprisingly high.
Before this: The cash conversion cycle and working capital, Conservative, moderate and aggressive working capital approaches
On the exam
- Explain the cash conversion cycle and compare issuers’ cash conversion cycles
- Describe issuers’ objectives and compare methods for managing working capital and liquidity
Calculate the implied cost of trade credit and compare it with other short-term funding. Expect an effective annual rate from terms such as 2/10, net 30, a borrow-or-forgo decision, and a 'cheapest source for this cash need' item.
How deeply to learn each part
- Know the idea
- Understand it in general. It frames other topics, but you will not calculate with it.
- Use it
- Understand it well enough to solve a question with it. Recognize when it applies.
- Memorize
- Learn it by heart. The exam will not give it to you.
You know this one. The full lesson is folded away. The takeaways, formulas and checkpoint below are your quick refresher, and the checkpoint is a fair test of whether you still do.
You tested strong here. The full lesson is folded away. The takeaways, formulas and checkpoint below are your quick refresher, and the checkpoint is a fair test of whether you still know it.
What does skipping a prompt-payment discount cost?
Trade credit is the time a supplier lets a customer wait before paying. Suppliers often add a prompt-payment discount for paying early. Taking that discount is cheap money. Skipping it is a loan from the supplier, and the interest is the discount you did not take.
Credit terms are written d/D, net N. “2/10, net 30” means 2% off if paid within 10 days; otherwise the full amount is due on day 30.
- d: the discount Memorize 2% off the invoice
- D: the discount period Memorize pay within 10 days to get it
- N: the net period Memorize full amount due on day 30
- Extra days = N − D Memorize 30 − 10 = 20 days of borrowing
- Cost of the loan Memorize the discount forgone
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Skipping the discount buys N − D extra days of credit. For 2/10, net 30 that is 30 − 10 = 20 days.
What does the 20-day loan cost? On an invoice of 100, paying early costs 98 and paying late costs 100. The company pays 2 to keep 98 for 20 days, so the cost of the period is 2 ÷ 98 = 2.04%, which is d ÷ (1 − d). A year has 365 ÷ 20 such periods, and the supplier loan rolls over each time, so the periodic cost compounds. The effective annual rate of trade credit is:
Here is the discount as a decimal, the discount period and the net period, both in days.
A supplier offers terms of 2/15, net 40. The effective annual cost of forgoing the discount is closest to:
(1 + 0.02 ÷ 0.98)^(365 ÷ 25) − 1 = 34.31%
Effective annual rate, EAR34.31%
- 2÷98+1=y^x(365÷25)=−1=0.3431
y^x power
- 2ENTER98÷1+365ENTER25÷y^x1−0.3431
ENTER enter (on the HP, puts the number on the stack) · y^x power
Try this 0 of 3
- Keep 2/15 but cut the net period to 30 days
- Raise the bank rate until the supplier's credit is cheaper
- With 2/15 terms and a 9% bank, find the first net period where the supplier wins
Terms 2/15, net 40: pay 98 by day 15, or 100 on day 40. Skipping the discount borrows 98 from the supplier for 25 extra days at a cost of 2.
Borrow and take the discount. The bank at 9.00% is cheaper than the supplier's 34.31%.
Show working
Periodic cost = d ÷ (100 − d) = 2 ÷ 98 = 0.020408. You pay 100 instead of 98, so the cost is measured on the 98 you keep.
Periods a year = 365 ÷ (net days − discount days) = 365 ÷ (40 − 15) = 14.6.
EAR = (1 + 0.020408)^14.6 − 1 = 34.31%.
Trap: annualizing by simple multiplication gives 0.020408 × 14.6 = 29.80%, which understates the cost; using 2% instead of d ÷ (100 − d) gives 29.20%.
- 2÷(100−2)=periodic cost 0.020408
- +1=y^x(365÷25)=−1=EAR 0.3431
y^x power
- 2ENTER100ENTER2−÷periodic cost 0.020408
- 1+365ENTER25÷y^x1−EAR 0.3431
ENTER enter (on the HP, puts the number on the stack) · y^x power
When should the company borrow instead?
If the EAR of forgoing the discount is higher than the cost of a bank loan, the company is better off borrowing from the bank, paying the supplier within the discount period, and repaying the bank later. It keeps its cash and avoids the supplier’s high implied rate.
Exam tip A small discount over a few weeks is a big annual rate. Almost any bank loan beats forgoing a 1% or 2% discount.
Go deeper Why the formula compounds, and why not to use the shortcut
The supplier loan is renewed every cycle: each time the company skips the discount it pays the periodic cost again. Over a year the cost therefore compounds, as for any interest rate converted to an effective annual rate. A simple approximation, d ÷ (1 − d) × 365 ÷ (N − D), ignores the compounding. For 1/10, net 50 it gives 1.0101% × 9.125 = 9.22% against 9.6% for the compounded form. The shortcut always understates, and the exam answer is the compounded EAR.
What is the cost in cash?
When a question asks for the cost of the forgone discount in money rather than as an annual rate, apply the discount to the payables. That is the “liquidation cost” of using payables as a source of cash.
A company delays payment of 5,000,000.00 of payables and forgoes a 2.00% prompt-payment discount. The cost of the forgone discount is closest to:
2.00% × 5,000,000.00 = 100,000.00
Cost of the forgone discount100,000.00
- 5000000×0.02=100000
- 5000000ENTER0.02×100000
ENTER enter (on the HP, puts the number on the stack)
How do you pick the cheapest source in a pinch?
Compare the cost of each source for the same cash need. A source’s cost is what the company gives up to raise a given amount of cash.
A company needs 30.00 of cash and can sell receivables at a 6.00% discount. The amount of receivables it must sell is closest to:
30.00 ÷ (1 − 0.06) = 31.91
Amount sold (face value)31.91
- 30÷0.94=31.9149
- 30ENTER0.94÷31.9149
ENTER enter (on the HP, puts the number on the stack)
What shapes a company’s short-term funding choices?
Short-term funding strategy means deciding when to borrow and in what form. The aim is flexibility: a company that fails to explore its options or to use the cheaper ones is more likely to face high financing costs or even distress, where it cannot borrow from any source.
- A prudent strategy Use it four aims
- Diversified sources of credit avoid one lender or one type
- Capacity for peaks seasonal needs, planned growth
- Competitive rates and terms and how they move
- All costs counted implicit (forgone discounts) and explicit
-
- What shapes the options Use it five influences
- Size big firms reach short-term markets
- Creditworthiness approval, rate and restrictions
- Legal setting weaker systems lean on trade credit
- Regulation caps or special sources
- Underlying assets inventory as collateral
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A prudent strategy keeps enough diversified sources of credit (many firms have one main source, such as trade credit or a credit facility, and should have a backup), secures enough capacity for peak seasonal needs and planned growth, checks that rates and terms are competitive, and counts both implicit costs (forgone discounts) and explicit ones in the effective cost of borrowing.
What is available depends on the firm:
- Size. A small private firm may be limited to credit from a single bank, while a very large firm can use short-term debt markets. Many alternatives have a minimum size or fixed costs that make them too costly for small and mid-sized companies.
- Creditworthiness. A firm’s creditworthiness decides whether a loan is approved, the rate, and whether the loan carries restrictions, such as limits on selling or using assets.
- Legal setting. Firms in markets with less developed legal systems may have fewer funding sources and lean on supplier trade credit.
- Regulation. Utilities and banks can be limited in how much and what they borrow, but may have special sources, such as central bank funding for banks.
- Underlying assets. Assets such as inventory may be good collateral for secured short-term funding.
Planning helps for any firm. Forecasting cash over a cycle and beyond, matching debt maturities to expected receipts and spacing maturities over time all lower the risk of distress in adverse markets.
Memorize this
MemorizeCost of trade credit
| Step | Rule |
|---|---|
| Read the terms | d/D, net N: d% off if paid within D days, otherwise all due on day N |
| Extra days | N − D: the days of supplier "loan" you get by skipping the discount |
| Cost per period | d ÷ (1 − d): you pay 100 instead of 100 − d |
| EAR | (1 + d ÷ (1 − d))^(365 ÷ (N − D)) − 1 |
| Decision | EAR above the bank rate: borrow and take the discount |
| Cash cost | d × payables |
| Cash raised by a sale at discount c | amount sold = need ÷ (1 − c) |
Memory hook You pay 100 to keep 100 − d for N − D days, so the periodic rate is d over what you really received (1 − d). Compound it for the number of such periods in a year.
Know it cold The exponent uses the extra days (N − D), not the net period. Annualize by compounding, not by multiplying.
MemorizeShort-term funding
| Group | Members |
|---|---|
| Strategy aims | diversified sources; capacity for peaks; competitive rates and terms; all costs (implicit and explicit) counted |
| Shapes options | size, creditworthiness, legal setting, regulation, underlying assets (collateral) |
| Planning | forecast cash over a cycle and beyond; match maturities to receipts; space out maturities |
Memory hook Aims: diversify, size for peaks, price competitively, count every cost. Limits: S-C-L-R-A (size, credit, legal, regulation, assets).
Know it cold The cheapest source in a squeeze is the one with the lowest liquidation cost per unit of cash raised. Compare costs, not headline sizes.
- d: the discount Memorize 2% off the invoice
- D: the discount period Memorize pay within 10 days to get it
- N: the net period Memorize full amount due on day 30
- Extra days = N − D Memorize 30 − 10 = 20 days of borrowing
- Cost of the loan Memorize the discount forgone
-
- A prudent strategy Use it four aims
- Diversified sources of credit avoid one lender or one type
- Capacity for peaks seasonal needs, planned growth
- Competitive rates and terms and how they move
- All costs counted implicit (forgone discounts) and explicit
-
- What shapes the options Use it five influences
- Size big firms reach short-term markets
- Creditworthiness approval, rate and restrictions
- Legal setting weaker systems lean on trade credit
- Regulation caps or special sources
- Underlying assets inventory as collateral
-
Quick example
Terms 3/10, net 40, so d = 3%, N = 40, D = 10. EAR = (1 + 3/97)^(365/30) − 1 = 44.9%.
- 3÷97+1=y^x(365÷30)=−1= 0.4486
y^x power
- 3ENTER97÷1+365ENTER30÷y^x1− 0.4486
ENTER enter (on the HP, puts the number on the stack) · y^x power
Quick example
Forgoing a 3% discount on payables of 6 million costs 3% × 6 = 0.18 million.
- 6×0.03= 0.18
- 6ENTER0.03× 0.18
ENTER enter (on the HP, puts the number on the stack)
Quick example
Cash needed 40, receivables sold at an 8% discount. Sell 40 ÷ 0.92 = 43.48; the cost is 3.48.
- 40÷0.92= 43.4783
- 40ENTER0.92÷ 43.4783
ENTER enter (on the HP, puts the number on the stack)
How it is asked
-
EAR from the terms
A supplier offers 2.5/10, net 40. Cost of forgoing the discount?
(1 + 2.5/97.5)^(365/30) − 1 = 36.1%. Traps: 30.4% is simple interest on 2.5%; 31.2% is simple interest on 2.5/97.5.
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Borrow or forgo?
The EAR of the discount is 36.1%; the bank charges 10%. What should the firm do?
Borrow from the bank and take the discount. Forgoing it costs more than the loan.
-
Which terms are cheapest to forgo?
1/10 net 60, 2/10 net 50 and 4/10 net 40. Lowest implicit cost?
1/10 net 60 (7.6%) against 20.2% and 64.3%. A small discount over a long period is cheapest.
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Cheapest source in a squeeze
Raise cash by delaying payables, selling receivables at a discount or selling securities.
Cost each: discount × payables; need ÷ (1 − c) − need; dealing cost × amount. Pick the lowest.
Exam traps
- Using the full net period (50) instead of the extra days (50 − 10 = 40) in the exponent.
- Using d instead of d ÷ (1 − d) as the periodic cost. You pay 100 to keep 100 − d.
- Annualizing by simple multiplication. The exam answer compounds.
- Forgetting that selling receivables at a discount needs a larger sale: to raise 30 at a 6% discount you must sell 30 ÷ 0.94.
Checkpoint
5 exam-style questions. About 90 seconds each.
1A supplier offers terms of 1.5/10, net 30. The effective annual cost of forgoing the discount is closest to:
2A supplier offers terms of 1.5/10, net 30, and the firm can borrow from its bank at an effective annual rate of 12%. The firm should most appropriately:
3Which credit terms carry the lowest implicit annual cost if the discount is forgone?
4A company needs 60 of cash at once. It can (A) delay payables of 60 and forgo a 2% discount, (B) sell receivables at a 5% discount, or (C) sell marketable securities at a 0.4% dealing cost. The cheapest source is:
5A company owes suppliers CHF 8 million on terms of 2/10, net 40. It pays on day 40 and forgoes the discount. The cost of the forgone discount, in CHF millions, is closest to:
Key takeaways
- Forgoing a prompt-payment discount is borrowing from the supplier for N − D days.
- EAR = (1 + d/(1 − d))^(365/(N − D)) − 1.
- Compare the EAR with the bank rate: if the bank is cheaper, borrow and take the discount.
- In a pinch, rank sources by cost per unit of cash raised; size, credit quality, legal setting, regulation and collateral decide which exist at all.
Quick example
Terms 3/10, net 40, so d = 3%, N = 40, D = 10. EAR = (1 + 3/97)^(365/30) − 1 = 44.9%.
- 3÷97+1=y^x(365÷30)=−1= 0.4486
y^x power
- 3ENTER97÷1+365ENTER30÷y^x1− 0.4486
ENTER enter (on the HP, puts the number on the stack) · y^x power
Quick example
Forgoing a 3% discount on payables of 6 million costs 3% × 6 = 0.18 million.
- 6×0.03= 0.18
- 6ENTER0.03× 0.18
ENTER enter (on the HP, puts the number on the stack)
Quick example
Cash needed 40, receivables sold at an 8% discount. Sell 40 ÷ 0.92 = 43.48; the cost is 3.48.
- 40÷0.92= 43.4783
- 40ENTER0.92÷ 43.4783
ENTER enter (on the HP, puts the number on the stack)
All Corporate Finance formulas, every lesson
Practice exam-style questions on Working Capital and Liquidity
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Where this comes back
- Credit Analysis for Corporate Issuers Fixed Income
- Analyzing Statements of Cash Flows II Financial Statement Analysis
Questions candidates ask
How do you calculate the cost of trade credit?
Take the discount d as a share of the invoice and divide it by 1 − d, the amount actually kept. Add 1 and raise it to 365 divided by the extra days (net period minus discount period), then subtract 1. For 2/10, net 50 that is (1 + 2/98)^(365/40) − 1, about 20.2%.
What does 2/10 net 30 mean?
The buyer takes 2% off the invoice by paying within 10 days. Otherwise the full amount is due on day 30. Skipping the discount gives 20 extra days of credit at the price of the forgone 2%.
Should a company take a supplier discount or pay later?
Compare the effective annual rate of forgoing the discount with the cost of other funding. If a bank loan costs less, borrow from the bank, pay within the discount period and repay the bank later. Paying late is cheaper only when the implied rate is below other sources.
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