Effective Cost of Short-Term Borrowing
5 minutes
5 Questions
In the Certified Treasury Professional (CTP) body of knowledge, the effective cost of short-term borrowing measures the true annualized cost a company pays for a credit facility, going beyond the quoted or nominal interest rate. Treasury professionals use it to compare financing alternatives on a consistent basis and to manage corporate liquidity efficiently. The quoted rate rarely reflects the real cost because lenders often attach additional features: commitment fees on unused portions of a credit line, compensating balance requirements, upfront or origination fees, discount interest (interest deducted in advance), and the length of the borrowing period. Each of these either increases total dollars paid or reduces the funds actually available to the borrower, raising the effective cost. The general formula is: Effective Annual Cost = (Total Interest + Fees) / Usable Funds × (365 / Days Borrowed) Usable funds equal the amount borrowed minus any compensating balance (net of balances the firm would hold anyway) and minus any interest or fees deducted in advance. Example: A firm borrows $1,000,000 for 90 days at 6% interest with a 10% compensating balance and a $5,000 fee. Interest = $1,000,000 × 6% × 90/365 ≈ $14,795. Total cost = $19,795. Usable funds = $900,000. Effective cost = ($19,795 / $900,000) × (365/90) ≈ 8.92%, well above the 6% stated rate. For commercial paper, the effective cost incorporates the discount, dealer fees, and backup line costs. For a revolving credit line, it includes commitment fees calculated on the unused portion. CTP candidates must recognize that effective cost analysis supports sound liquidity decisions: choosing between bank lines, commercial paper, trade credit, or asset-based lending; evaluating whether to take supplier discounts; and negotiating facility terms. By normalizing all costs to an annual percentage on funds actually available, treasury can minimize financing expense while maintaining adequate liquidity cushions.
Effective Cost of Short-Term Borrowing: A Complete CTP Study Guide
Why This Topic Matters
Within the AFP CTP body of knowledge, the effective cost of short-term borrowing sits inside Corporate Liquidity Management because treasury professionals are responsible for funding working capital at the lowest true cost. A quoted or nominal interest rate is almost never the real cost of a loan. Compensating balance requirements, discount interest, commitment fees, dealer fees, backup line fees, rating agency fees and day-count conventions all change what a company actually pays for each dollar it can actually use. If a treasurer compares a bank line of credit at 7% with commercial paper at 6.5% using only the headline numbers, the wrong decision can be made. The exam tests whether you can translate every funding alternative into a single comparable number: the effective annual cost. This is also a heavily calculated area of the exam, so mastering a handful of formulas earns reliable points.
What the Effective Cost Is
The effective cost of short-term borrowing is the annualized total cost of a loan (interest plus all fees) expressed as a percentage of the funds the borrower can actually use. Three ideas drive every calculation:
1. Total cost means interest plus every fee attached to the borrowing, not interest alone.
2. Usable funds means the amount the borrower genuinely has available. Anything withheld (a compensating balance, discount interest deducted up front, fees netted from proceeds) reduces usable funds and therefore raises the effective rate.
3. Annualization puts loans of different maturities on a common yearly basis, usually by multiplying the period cost by 365 divided by the number of days (or 360 for money market instruments, depending on the convention stated in the question).
The master formula to memorize is:
Effective Annual Cost = (Interest + Fees) / Usable Funds x (365 / Days Outstanding)
Every variation below is simply a special case of this expression.
How It Works: The Key Variations
1. Compensating Balances
Banks often require the borrower to keep a percentage of the loan on deposit in a non-interest-bearing account. Those funds cannot be spent, so usable funds shrink.
Formula: Effective Rate = Nominal Rate / (1 - Compensating Balance %)
Example: A $1,000,000 loan at 8% with a 10% compensating balance. Interest = $80,000. Usable funds = $900,000. Effective rate = 80,000 / 900,000 = 8.89%. Using the shortcut: 8% / (1 - 0.10) = 8.89%.
Important nuance: If the company already keeps balances at the bank for operating reasons, only the incremental balance counts. If a 20% balance is required but the firm already maintains 5%, the effective rate is 8% / (1 - 0.15) = 9.41%, not 8% / (1 - 0.20) = 10.00%. If the compensating balance earns interest, subtract that interest from the cost in the numerator.
2. Discount Interest
With a discount loan the lender deducts interest at the start, so the borrower receives face value minus interest but repays full face value.
Formula: Effective Rate = Interest / (Face Value - Interest), then annualize if the term is less than a year.
Example: $1,000,000 one-year loan at a 6% discount rate. Interest deducted = $60,000; proceeds = $940,000. Effective rate = 60,000 / 940,000 = 6.38%.
3. Lines of Credit with Commitment Fees
A committed line charges interest on the amount borrowed plus a commitment (or facility) fee, usually on the unused portion. The fee is a real cost of borrowing even though it is not interest.
Example: A $5,000,000 line, average borrowing $2,000,000, interest 7%, commitment fee 0.5% on the unused $3,000,000. Interest = $140,000; fee = $15,000; total = $155,000. Effective rate = 155,000 / 2,000,000 = 7.75%.
Read carefully whether the fee applies to the total facility, the unused portion, or the used portion; the exam changes this deliberately.
4. Commercial Paper (CP)
CP is sold at a discount and carries additional costs: dealer fees, backup credit line fees and rating agency fees. All must be included.
Example: $10,000,000 face value, 90 days, 4.5% discount rate (360-day basis), dealer fee 0.125% per annum, backup line fee 0.25% per annum.
Discount = 10,000,000 x 0.045 x 90/360 = $112,500
Dealer fee = 10,000,000 x 0.00125 x 90/360 = $3,125
Backup line fee = 10,000,000 x 0.0025 x 90/360 = $6,250
Total cost = $121,875; proceeds (usable funds) = 10,000,000 - 112,500 = $9,887,500
Effective annual cost = 121,875 / 9,887,500 x 365/90 = 1.2326% x 4.0556 = 5.00%
Notice the headline 4.5% became 5.00% once fees, the discount basis and annualization were applied.
5. Day-Count Conventions
Many money market rates are quoted on a 360-day year. Converting to a 365-day effective basis raises the rate by the factor 365/360. A 6.00% rate quoted on a 360-day basis is equivalent to 6.00% x 365/360 = 6.08% on a 365-day basis. Always use the convention the question specifies.
6. Simple Annualization vs. Compounded Effective Annual Rate
Most CTP questions use simple annualization (period rate x 365/days). Occasionally a question asks for a compounded effective annual rate: EAR = (1 + period rate)^(365/days) - 1 or (1 + r/m)^m - 1. The compounded figure is slightly higher. Use compounding only when the question explicitly asks for it or describes a loan that rolls over with interest reinvested.
Putting It Together: A Comparison Decision
Suppose a treasurer can borrow $2,000,000 for 90 days either (a) on a bank line at 6.5% with a 10% compensating balance, or (b) by issuing CP at a 6.0% discount with total fees of 0.375% per annum. For (a): 6.5% / (1 - 0.10) = 7.22%. For (b): discount = 2,000,000 x 0.06 x 90/360 = $30,000; fees = 2,000,000 x 0.00375 x 90/360 = $1,875; proceeds = $1,970,000; cost = 31,875 / 1,970,000 x 365/90 = 6.56%. Despite the extra fees, CP is cheaper. This is exactly the kind of judgment the exam expects.
Exam Tips: Answering Questions on Effective Cost of Short-Term Borrowing
Tip 1: Always divide by usable funds, never by face value. The single most common trap is computing interest as a percentage of the loan amount. Ask yourself: how much cash did the borrower actually get to use?
Tip 2: Capture every cost in the numerator. Commitment fees, dealer fees, backup line fees, rating fees, origination fees and up-front points are all part of the cost of borrowing. If a fee is mentioned in the question stem, it belongs in the calculation.
Tip 3: Check whether the compensating balance is incremental. If the company already holds balances at the bank, subtract them from the requirement before applying the formula.
Tip 4: Annualize with the stated day count. Look for the words 360-day or 365-day basis. If the loan is for fewer than 365 days, you must annualize; if it is a one-year loan, no annualization is needed.
Tip 5: Use the sanity check that effective cost is at least the nominal rate. Whenever there are fees, compensating balances or discount interest, the effective rate must be higher than the quoted rate. If your answer is lower, you have made an error. This also lets you eliminate distractor answer choices instantly.
Tip 6: Distinguish simple annualization from compounding. Default to simple multiplication by 365/days unless the question asks for a compounded or effective annual yield in the compounding sense.
Tip 7: Read the fee base carefully. A commitment fee on the unused portion, on the total facility and on the used portion produce three different answers. Underline the phrase in the question.
Tip 8: For comparison questions, convert every alternative to the same effective annual basis before choosing. The exam often presents a lower headline rate on the more expensive option.
Tip 9: Memorize the three shortcut formulas. Compensating balance: Rate / (1 - CB%). Discount loan: Interest / (Face - Interest). General: (Interest + Fees) / Usable Funds x 365 / Days. Nearly every question reduces to one of these.
Tip 10: Work in dollars, then convert to a percentage. Computing dollar interest and dollar fees first reduces rounding mistakes and makes it easy to see which figures belong in the numerator and which in the denominator.
Quick Review Summary
Effective cost = (all interest + all fees) / funds actually available x annualization factor. Compensating balances and discount interest reduce usable funds; fees increase total cost; both push the effective rate above the nominal rate. Compare all funding sources on the same effective annual basis, mind the day-count convention and the exam questions in this area become formula-driven and predictable.
Within the AFP CTP body of knowledge, the effective cost of short-term borrowing sits inside Corporate Liquidity Management because treasury professionals are responsible for funding working capital at the lowest true cost. A quoted or nominal interest rate is almost never the real cost of a loan. Compensating balance requirements, discount interest, commitment fees, dealer fees, backup line fees, rating agency fees and day-count conventions all change what a company actually pays for each dollar it can actually use. If a treasurer compares a bank line of credit at 7% with commercial paper at 6.5% using only the headline numbers, the wrong decision can be made. The exam tests whether you can translate every funding alternative into a single comparable number: the effective annual cost. This is also a heavily calculated area of the exam, so mastering a handful of formulas earns reliable points.
What the Effective Cost Is
The effective cost of short-term borrowing is the annualized total cost of a loan (interest plus all fees) expressed as a percentage of the funds the borrower can actually use. Three ideas drive every calculation:
1. Total cost means interest plus every fee attached to the borrowing, not interest alone.
2. Usable funds means the amount the borrower genuinely has available. Anything withheld (a compensating balance, discount interest deducted up front, fees netted from proceeds) reduces usable funds and therefore raises the effective rate.
3. Annualization puts loans of different maturities on a common yearly basis, usually by multiplying the period cost by 365 divided by the number of days (or 360 for money market instruments, depending on the convention stated in the question).
The master formula to memorize is:
Effective Annual Cost = (Interest + Fees) / Usable Funds x (365 / Days Outstanding)
Every variation below is simply a special case of this expression.
How It Works: The Key Variations
1. Compensating Balances
Banks often require the borrower to keep a percentage of the loan on deposit in a non-interest-bearing account. Those funds cannot be spent, so usable funds shrink.
Formula: Effective Rate = Nominal Rate / (1 - Compensating Balance %)
Example: A $1,000,000 loan at 8% with a 10% compensating balance. Interest = $80,000. Usable funds = $900,000. Effective rate = 80,000 / 900,000 = 8.89%. Using the shortcut: 8% / (1 - 0.10) = 8.89%.
Important nuance: If the company already keeps balances at the bank for operating reasons, only the incremental balance counts. If a 20% balance is required but the firm already maintains 5%, the effective rate is 8% / (1 - 0.15) = 9.41%, not 8% / (1 - 0.20) = 10.00%. If the compensating balance earns interest, subtract that interest from the cost in the numerator.
2. Discount Interest
With a discount loan the lender deducts interest at the start, so the borrower receives face value minus interest but repays full face value.
Formula: Effective Rate = Interest / (Face Value - Interest), then annualize if the term is less than a year.
Example: $1,000,000 one-year loan at a 6% discount rate. Interest deducted = $60,000; proceeds = $940,000. Effective rate = 60,000 / 940,000 = 6.38%.
3. Lines of Credit with Commitment Fees
A committed line charges interest on the amount borrowed plus a commitment (or facility) fee, usually on the unused portion. The fee is a real cost of borrowing even though it is not interest.
Example: A $5,000,000 line, average borrowing $2,000,000, interest 7%, commitment fee 0.5% on the unused $3,000,000. Interest = $140,000; fee = $15,000; total = $155,000. Effective rate = 155,000 / 2,000,000 = 7.75%.
Read carefully whether the fee applies to the total facility, the unused portion, or the used portion; the exam changes this deliberately.
4. Commercial Paper (CP)
CP is sold at a discount and carries additional costs: dealer fees, backup credit line fees and rating agency fees. All must be included.
Example: $10,000,000 face value, 90 days, 4.5% discount rate (360-day basis), dealer fee 0.125% per annum, backup line fee 0.25% per annum.
Discount = 10,000,000 x 0.045 x 90/360 = $112,500
Dealer fee = 10,000,000 x 0.00125 x 90/360 = $3,125
Backup line fee = 10,000,000 x 0.0025 x 90/360 = $6,250
Total cost = $121,875; proceeds (usable funds) = 10,000,000 - 112,500 = $9,887,500
Effective annual cost = 121,875 / 9,887,500 x 365/90 = 1.2326% x 4.0556 = 5.00%
Notice the headline 4.5% became 5.00% once fees, the discount basis and annualization were applied.
5. Day-Count Conventions
Many money market rates are quoted on a 360-day year. Converting to a 365-day effective basis raises the rate by the factor 365/360. A 6.00% rate quoted on a 360-day basis is equivalent to 6.00% x 365/360 = 6.08% on a 365-day basis. Always use the convention the question specifies.
6. Simple Annualization vs. Compounded Effective Annual Rate
Most CTP questions use simple annualization (period rate x 365/days). Occasionally a question asks for a compounded effective annual rate: EAR = (1 + period rate)^(365/days) - 1 or (1 + r/m)^m - 1. The compounded figure is slightly higher. Use compounding only when the question explicitly asks for it or describes a loan that rolls over with interest reinvested.
Putting It Together: A Comparison Decision
Suppose a treasurer can borrow $2,000,000 for 90 days either (a) on a bank line at 6.5% with a 10% compensating balance, or (b) by issuing CP at a 6.0% discount with total fees of 0.375% per annum. For (a): 6.5% / (1 - 0.10) = 7.22%. For (b): discount = 2,000,000 x 0.06 x 90/360 = $30,000; fees = 2,000,000 x 0.00375 x 90/360 = $1,875; proceeds = $1,970,000; cost = 31,875 / 1,970,000 x 365/90 = 6.56%. Despite the extra fees, CP is cheaper. This is exactly the kind of judgment the exam expects.
Exam Tips: Answering Questions on Effective Cost of Short-Term Borrowing
Tip 1: Always divide by usable funds, never by face value. The single most common trap is computing interest as a percentage of the loan amount. Ask yourself: how much cash did the borrower actually get to use?
Tip 2: Capture every cost in the numerator. Commitment fees, dealer fees, backup line fees, rating fees, origination fees and up-front points are all part of the cost of borrowing. If a fee is mentioned in the question stem, it belongs in the calculation.
Tip 3: Check whether the compensating balance is incremental. If the company already holds balances at the bank, subtract them from the requirement before applying the formula.
Tip 4: Annualize with the stated day count. Look for the words 360-day or 365-day basis. If the loan is for fewer than 365 days, you must annualize; if it is a one-year loan, no annualization is needed.
Tip 5: Use the sanity check that effective cost is at least the nominal rate. Whenever there are fees, compensating balances or discount interest, the effective rate must be higher than the quoted rate. If your answer is lower, you have made an error. This also lets you eliminate distractor answer choices instantly.
Tip 6: Distinguish simple annualization from compounding. Default to simple multiplication by 365/days unless the question asks for a compounded or effective annual yield in the compounding sense.
Tip 7: Read the fee base carefully. A commitment fee on the unused portion, on the total facility and on the used portion produce three different answers. Underline the phrase in the question.
Tip 8: For comparison questions, convert every alternative to the same effective annual basis before choosing. The exam often presents a lower headline rate on the more expensive option.
Tip 9: Memorize the three shortcut formulas. Compensating balance: Rate / (1 - CB%). Discount loan: Interest / (Face - Interest). General: (Interest + Fees) / Usable Funds x 365 / Days. Nearly every question reduces to one of these.
Tip 10: Work in dollars, then convert to a percentage. Computing dollar interest and dollar fees first reduces rounding mistakes and makes it easy to see which figures belong in the numerator and which in the denominator.
Quick Review Summary
Effective cost = (all interest + all fees) / funds actually available x annualization factor. Compensating balances and discount interest reduce usable funds; fees increase total cost; both push the effective rate above the nominal rate. Compare all funding sources on the same effective annual basis, mind the day-count convention and the exam questions in this area become formula-driven and predictable.
Test mode:
CTP - Effective Cost of Short-Term Borrowing Example Questions
Test your knowledge of Effective Cost of Short-Term Borrowing
Question 1
When calculating the effective annual cost of a bank line of credit that carries a compensating balance requirement, the total interest and fees paid are divided by which amount?
Question 2
A company has a one-year, $10 million revolving credit facility. It expects to borrow an average of $6 million for the full year at 6.00% interest. It pays a 0.25% commitment fee on the average unused portion and paid a 0.10% upfront fee on the total commitment. There is no compensating balance. What is the effective annual cost of the funds borrowed, rounded to two decimal places?
Question 3
A required compensating balance raises the effective annual cost of a bank credit line only to the extent that the required balance does what?
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