A company that borrows at a rate that changes with the market does not know what its interest bill will be. A company that borrows at a fixed rate knows its bill but may find itself paying more than its competitors if rates fall. An investor holding a fixed-rate bond finds its price falling when market rates rise.
A bank that lends long and borrows short can see its margin disappear when short rates go up. All of these are interest rate risk, and in a country such as Nigeria where the policy rate has moved from 26.5% to 23% in a single year, it is a practical matter and not a textbook one.
The aim of managing it is not to get the lowest possible interest cost, which depends on a forecast that cannot be made reliably, but to limit the uncertainty so that the business can plan.
This topic explains how interest rate changes affect borrowers, lenders and bond investors, when interest rate risk is high, short-term and long-term rates and benchmark rates (and how interest on a loan is calculated), and the traditional ways of reducing the risk without derivatives: choosing between fixed and floating rates, smoothing, matching assets and liabilities and gap management, with worked examples. The next topic covers interest rate derivatives.
The syllabus asks candidates to explain the nature of interest rate risk and the methods of managing it. Read currency futures, options and swaps first.
In 30 seconds
Interest rate risk is the risk of loss from a change in interest rates:
- a floating-rate borrower pays more when rates rise
- a fixed-rate borrower is locked in when rates fall
- a fixed-rate bond falls in price when rates rise
- a depositor earns less when rates fall
It is higher when rates are volatile and the direction is uncertain (more so when inflation is high).
Short-term rates are money market rates (a margin over a benchmark such as the interbank rate), long-term rates are bond yields. 100 basis points = 1%. Traditional hedging:
- fixed or floating borrowing
- smoothing (a mix of fixed and floating)
- matching assets and liabilities that move with the same rate
- gap management (rate-sensitive assets less liabilities)
- matching maturities
The aim is to limit uncertainty, not guarantee the best result.
The nature of interest rate risk
Interest rate risk is the potential for losses from a change in interest rates. It arises because a business does not know how much interest it will pay on borrowings already made or planned, or earn on deposits. Interest rates can move up or down, and the effect depends on the position:
- Floating-rate borrowing: the interest cost rises when rates rise and falls when they fall. A company with a ₦2bn loan at the benchmark rate plus 2.5% pays 25.5% when the benchmark is 23%, or ₦510m a year; if the benchmark rises by 2 percentage points the cost is 27.5% or ₦550m, an extra ₦40m a year. On ₦5bn, one percentage point is ₦50m.
- Fixed-rate borrowing (for example a bond): the interest cost is certain, but if market rates fall the company keeps paying the old rate while competitors who borrowed at floating rates, or who issue new bonds, gain an advantage.
- Fixed-rate bond investors: a rise in yields makes the price of existing bonds fall, and a fall raises it (see the topic on valuing bonds); an investor who must sell before maturity is exposed.
- Deposits: a company that places surplus cash on floating-rate deposits earns less when rates fall.
The risk is greater for banks and investment institutions, whose business is financial assets and liabilities, but also for any company with large debts: a rise of 0.25% on a $500 million floating loan costs $1.25 million a year.
When is the risk high?
Interest rate risk is high when changes are frequent and large and it is uncertain whether the next move is up or down. Volatility is higher when expected inflation is high; the high and changing interest rates in Nigeria therefore make the risk significant.
Short-term and long-term rates, benchmarks and how interest is calculated
- Short-term rates are money market rates, for borrowing and lending from overnight to about 12 months. They affect short-term loans and all variable-rate lending. Long-term rates are bond yields, and affect bond investors and issuers.
- A company’s bond yield depends on the risk-free rate (government bonds) and on credit risk. If a bond rated AA is downgraded to A+, its yield rises and its price falls; but that is credit risk, not interest rate risk.
- Benchmark rates. Floating loans pay a margin over a benchmark, for example the interbank offered rate: in Nigeria the Nigerian Inter-Bank Offered Rate and the Central Bank’s Monetary Policy Rate (23% since 22 September 2026) guide rates. The London interbank offered rate was the international benchmark but has been replaced for most purposes by risk-free benchmarks such as the secured overnight financing rate in dollars. Examination questions may still use it for illustration. The margin is stated in basis points (100 basis points = 1%): 250 basis points is 2.5%.
- Resetting. The rate for each interest period is fixed by the benchmark at the start of the period and reset for the next.
- Day count.
Interest = principal × annual rate × days ÷ 365 for sterling, and ÷ 360 for the dollar.
For $1m for 90 days at 6%, interest is $15,000 on the 360 basis and $14,795 on the 365 basis.
In an examination use months ÷ 12 unless told otherwise.
Choosing between fixed and floating
Fixed borrowing gives certainty of cost but may be dearer if rates fall; floating borrowing is cheaper if rates fall but exposes the company if they rise. Which is better depends on the view of rates, the company’s ability to bear a rise in cost (interest cover), and the pricing: a fixed rate normally includes a premium for the lender taking the risk.
A company with stable, predictable cash flows can bear floating risk; one with thin interest cover should fix. A ₦4bn loan at a floating rate of 26.5% costs ₦1,060m, and ₦1,140m if the benchmark rises by 2 points (+₦80m). A fixed rate of 25% would cost ₦1,000m, ₦60m less than the floating rate today and certain.
Smoothing
Smoothing means keeping a balance between fixed-rate and floating-rate borrowing (or deposits), so that the effect of any move is partly offset. A company with ₦3bn of debt can fix half at 24% and leave half floating at 25%. The interest costs, and the average rate, under three conditions:
| Floating rate moves to | All floating ₦m | Half fixed, half floating ₦m | Average rate on the mix |
|---|---|---|---|
| 22% (down 3 points) | 660 | 690 | 23.0% |
| 25% (now) | 750 | 735 | 24.5% |
| 28% (up 3 points) | 840 | 780 | 26.0% |
The all-floating debt swings by ₦90m either way; the mix swings by only ₦45m. Smoothing does not remove the risk and does not pick the best outcome; it halves the uncertainty and also halves the benefit of a fall. Staggering the maturities of fixed loans (so that they are not all refinanced at the same time) is a similar idea.
Matching assets and liabilities
Matching means holding assets and liabilities that earn and pay interest on the same basis, so a rate change affects both. A company has a deposit of ₦400m earning the benchmark plus 1%, and a loan of ₦450m costing the benchmark plus 2%.
With the benchmark at 22%, interest received is 23% × 400 = ₦92m and paid 24% × 450 = ₦108m, a net cost of ₦16m. If the benchmark rises 3 points to 25%, interest received is 26% × 400 = ₦104m and paid 27% × 450 = ₦121.5m, a net cost of ₦17.5m, only ₦1.5m more. Without the deposit, the loan alone would have cost ₦13.5m more. The closer the amounts, the better the match.
Matching can also be of maturities: financing long-term assets with long-term funds and short-term assets with short-term funds, so that a loan does not have to be refinanced at an unknown rate while the asset is still earning.
Gap management
For a bank or a company with large financial assets and liabilities, gap analysis compares the amounts of assets and liabilities that will be repriced in each period. A positive gap (rate-sensitive assets exceed rate-sensitive liabilities) gains from a rise in rates; a negative gap loses.
With rate-sensitive assets of ₦8bn and liabilities of ₦11bn the gap is −₦3bn; if rates rise 2 points, net interest falls by ₦3bn × 2% = ₦60m; if they fall 2 points, it rises by ₦60m. Management reduces the gap towards zero by changing the mix of fixed and floating items, or uses derivatives for the remainder (the next topic).
The ideas in more depth
Why the aim is stability and not a lower cost
Nobody can consistently forecast interest rates better than the market, so a policy based on a forecast is a gamble. A company’s business is to make and sell goods, not to speculate on rates. The purpose of management is to make sure that a bad movement in rates does not threaten the ability to pay interest, break covenants, or make planned investments unprofitable.
The reduction of uncertainty is the benefit, and some give-up of the chance of a lower cost is the price.
Why matching is the cheapest hedge
If a rate rise raises both the income on assets and the cost of liabilities by similar amounts, nothing needs to be bought. Natural offsets cost nothing, which is why they are tried before derivatives. They are limited by the actual mix of the company’s assets and liabilities, which is determined by its business, not by its wish to hedge.
Sources and references
- The Central Bank of Nigeria sets the Monetary Policy Rate; benchmark rates for interbank lending and for treasury bills are published by the Central Bank and the FMDQ market. International Financial Reporting Standard (IFRS) 7 requires disclosure of the sensitivity of profit to interest rate changes. The figures in the examples are illustrative.
These points are stated as at 5 November 2026.
Worked examples
Example 1: the effect of a rise. ₦2bn floating loan at the benchmark plus 2.5%; the benchmark rises from 23% to 25%. Required: the extra interest.
- Cost before.
25.5% × 2bn = ₦510m. - Extra.
27.5% × 2bn = ₦550m, so ₦40m more.
Example 2: the gap. Rate-sensitive assets ₦8bn; rate-sensitive liabilities ₦11bn; rates rise 2 points. Required: the effect.
- Gap.
8 − 11 = −₦3bn. - Effect.
−3bn × 2% = −₦60m of net interest.
Example 3: basis points. A margin of 250 basis points. Required: the margin as a percentage.
- Percentage.
250 ÷ 100 = 2.5%.
How to answer in the exam
- State the exposure: which items are floating, which fixed, and the effect of a rise and of a fall.
- Quantify the change in interest cost for a stated change in rates.
- Apply matching and smoothing first and show the remaining exposure.
- Recommend a mix, explaining that the aim is to limit uncertainty.
Common mistakes in the exam
- Saying that a fixed-rate borrower has no interest rate risk.
- Confusing a rise in a bond’s yield caused by a downgrade with interest rate risk.
- Using annual interest for a part-year loan.
- Treating 100 basis points as 10%.
- Matching amounts but not the type of rate.
- Presenting hedging as a way of getting the lowest interest cost.
Quick revision
- Floating borrowers lose when rates rise; fixed borrowers lose when they fall; bond prices fall when yields rise.
- Risk is higher when rates are volatile; 100 basis points = 1%.
- Traditional hedges: fixed or floating, smoothing, matching, gap management.
- The aim is to limit uncertainty, not to find the lowest cost.
Practice questions
These are original questions written in the style of the Institute’s exams. Try each one before you open the answer. Section A is a recall check, because the paper itself is written.
Recall check: multiple choice
Question 1. Interest rate risk is:
- The risk of default only
- The risk of inflation
- The risk of loss from a change in interest rates
- The risk of tax
Show the answer
C. Uncertainty about interest paid or earned.
Question 2. A floating-rate borrower is hurt when interest rates:
- Fall
- Rise
- Are stable
- Are fixed by law
Show the answer
B. Its interest cost rises.
Question 3. A fixed-rate borrower is disadvantaged when market rates:
- Fall
- Rise
- Are volatile
- Are stable
Show the answer
A. Competitors pay less.
Question 4. When market yields rise, the price of a fixed-rate bond:
- Rises
- Stays the same
- Doubles
- Falls
Show the answer
D. The fixed payments are worth less.
Question 5. Matching assets and liabilities reduces risk because:
- It removes all debt
- A rate change affects both sides similarly
- It raises interest rates
- It avoids tax
Show the answer
B. The effects offset.
Question 6. Smoothing means:
- Balancing fixed and floating rate borrowing
- Using only fixed rates
- Using only floating rates
- Repaying early
Show the answer
A. So part of the exposure is removed.
Question 7. A negative gap means:
- Rate-sensitive assets exceed liabilities
- No exposure
- Rate-sensitive liabilities exceed assets, so a rise in rates reduces profit
- Profit rises with rates
Show the answer
C. Liabilities reprice up faster than assets.
Question 8. 100 basis points equal:
- 10%
- 0.1%
- 100%
- 1%
Show the answer
D. A basis point is one hundredth of a percent.
Question 9. Interest rate risk is highest when rates are:
- Fixed
- Falling slowly
- Volatile and the direction is uncertain
- Zero
Show the answer
C. Particularly when inflation is high.
Question 10. A rise in a bond’s yield after a credit downgrade is:
- A credit risk effect, not interest rate risk
- An interest rate risk effect
- A tax effect
- An inflation effect
Show the answer
A. It reflects the issuer’s risk.
Section B style: written questions
Question 11 (10 marks). (a) State the effect of a rise and of a fall in interest rates on a floating-rate borrower and a fixed-rate borrower. (4 marks) (b) State when interest rate risk is high. (3 marks) (c) State the aim of managing it. (3 marks)
Question 12 (15 marks). A company has a ₦4bn loan at the benchmark (23.5%) plus 3%. A fixed rate of 25% is available. (a) Calculate the interest cost now. (3 marks) (b) Calculate the cost if the benchmark rises by 2 points and the extra cost. (5 marks) (c) Calculate the cost at the fixed rate and compare it with the floating rate now. (4 marks) (d) State TWO factors in the choice. (3 marks)
A further written question
Question 13 (20 marks). A company has a deposit of ₦600m at the benchmark (22%) plus 1% and a loan of ₦700m at the benchmark plus 3%. The benchmark rises by 3 points.
(a) Calculate interest received and paid before the rise and the net cost. (6 marks) (b) Calculate them after the rise and the net cost. (6 marks) (c) Calculate the change in net cost and compare it with the loan alone. (5 marks) (d) State why the exposure is reduced. (3 marks)
Model answers
Show the model answer to Question 11
(a) Floating-rate borrower: a rise increases its interest cost and a fall reduces it (2); fixed-rate borrower: the cost is unchanged, so it loses relative to others if rates fall and benefits if they rise (2).
(b) When rates change often and by large amounts, and the direction of the next change is uncertain (3).
(c) To limit the uncertainty so the company can plan, not to guarantee the lowest cost (3).
Show the model answer to Question 12
(a)
- 23.5% + 3% = 26.5%
- 4bn × 26.5% = ₦1,060m (3).
(b) 25.5% + 3% = 28.5%; 4bn × 28.5% = ₦1,140m (3); extra ₦80m (2).
(c) Fixed: 4bn × 25% = ₦1,000m, which is ₦60m less than the floating cost now and certain (4).
(d) The view on future rates; the ability to bear a rise (interest cover); the premium for fixing; the term of the loan (1.5 each, any two).
Show the model answer to Question 13
(a) Received 23% × 600 = ₦138m (2); paid 25% × 700 = ₦175m (2); net cost ₦37m (2).
(b) Received 26% × 600 = ₦156m (2); paid 28% × 700 = ₦196m (2); net cost ₦40m (2).
(c) The net cost rises by only ₦3m; the loan alone would have cost ₦21m more (196 − 175) (5).
(d) The deposit and the loan both move with the benchmark, so the extra interest received offsets most of the extra interest paid (3).
Spotted a mistake? Tell us and we will check it.