Skip to content

CMA Final · Risk Management in Banking and Insurance

Interest Rate Risk Management for CMA Final Paper 20B

Interest rate risk is the chance that a change in market interest rates reduces a bank's earnings or the economic value of its balance sheet. You solve questions by measuring the exposure (gap, duration), judging its effect on earnings and value, and then choosing a hedge such as a swap, FRA or future.

What this chapter covers

This chapter covers how banks and insurers lose or gain when interest rates move. It starts with where the risk comes from: repricing mismatches, changes in the yield curve shape, basis differences and options embedded in loans and deposits. It then moves to measurement. Gap analysis shows the earnings effect over a short period. Duration and convexity show the effect on the value of assets and liabilities.

The second half is about control. You look at the earnings view and the economic value view, see how funds transfer pricing assigns interest rate risk to business units, and learn how derivatives reduce exposure. The chapter ends with the regulatory framework, where IRRBB (interest rate risk in the banking book) and RBI guidelines set how banks must measure and report this risk.

The chapter links closely to the rest of Paper 20B. Market risk, asset liability management, liquidity risk and capital adequacy all use the same ideas. Insurers face the same issue when asset durations do not match policy liabilities. Numerical practice here also helps you answer case scenario MCQs in Section A.

This chapter mixes numerical work with short theory, so it suits both the 2-mark MCQs and the 14-mark written questions. Gap, duration and hedge calculations give you marks that are clearly right or wrong, and the theory on IRRBB and FTP lets you write structured answers on application to a bank. Most of the content builds on a few core formulas, so the effort you put in is repaid across the paper.

Interest Rate Risk Management: topics in the order to study them

  1. 1Interest Rate Risk: Meaning and SourcesYou need the vocabulary of repricing, basis, yield curve and option risk before any measurement makes sense.
  2. 2Measuring Interest Rate Risk: Gap AnalysisIt is the simplest measure, needs only arithmetic, and builds your habit of working with rate-sensitive assets and liabilities.
  3. 3Duration and ConvexityThis moves from earnings to value and is the main numerical block, so learn it once gap analysis is comfortable.
  4. 4Earnings and Economic Value PerspectivesIt places gap on the earnings side and duration on the value side, so you can compare the two views.
  5. 5Funds Transfer Pricing and Yield CurveOnce you know how rate risk arises and is measured, you can see how it is priced and moved to the treasury.
  6. 6Hedging with Derivatives: FRAs, Swaps, Futures, OptionsHedging uses the exposure figures you have already computed, so it comes after measurement.
  7. 7Regulatory Framework: IRRBB and RBI GuidelinesRegulation is easier to remember once you know the measures and hedges it refers to.

How to prepare Interest Rate Risk Management

Split your time between practising numericals and building short theory notes. Do the sums by hand, since the exam is written.

  1. Write one-line definitions of repricing, basis, yield curve and optionality risk, with a bank example for each.
  2. Practise gap tables: list assets and liabilities by time bucket, find the gap, and compute the change in net interest income for a given rate change over the bucket period.
  3. Learn the duration formulas and solve at least a few problems on price change from a rate change, then add the convexity correction and see how it changes the answer.
  4. Make a two-column note comparing the earnings view and the economic value view: what each measures, time horizon, strengths and limits.
  5. Work through FRA settlement, swap cash flows and futures hedges on small rupee examples, and always state who pays whom and the net effect.
  6. Prepare a short structured note on IRRBB and RBI requirements, covering what must be measured, how often and what is reported, using only points you are sure of.
  7. Finish with mixed MCQs and one past written question, writing a recommendation at the end of every numerical answer.

Common mistakes in Interest Rate Risk Management

  • Applying the full-year rate change to a gap bucket shorter than a year.

    Fix: Multiply by the fraction of the year left after repricing, and state the assumption.

  • Using duration in years as if it were the percentage price change.

    Fix: Apply price change % ≈ −Modified duration × change in yield, and check the direction: rates up, price down.

  • Mixing up the direction of a hedge.

    Fix: Draw the exposure first, then choose the derivative that produces the opposite cash flow.

  • Treating the earnings and economic value views as the same thing.

    Fix: Say which one you are using: earnings is a short-term income effect, economic value is a present value effect on the whole book.

  • Ending a numerical answer without a recommendation.

    Fix: Add one or two lines on what the bank should do, such as reduce the negative gap or enter a swap, and why.

  • Writing regulatory points from memory without being certain.

    Fix: Learn the purpose and main requirements from your study material and write only those, in plain words.

Last-day revision: Interest Rate Risk Management

  • Interest rate risk comes from repricing mismatch, basis risk, yield curve risk and optionality.
  • Gap = rate-sensitive assets − rate-sensitive liabilities for a time bucket.
  • Change in net interest income ≈ Gap × change in rate, for the bucket period.
  • A positive gap gains when rates rise; a negative gap gains when rates fall.
  • Gap analysis ignores value effects and the timing of cash flows within a bucket.
  • Price change ≈ −Modified duration × change in yield × price.
  • Modified duration = Macaulay duration ÷ (1 + y ÷ n), for n payments a year.
  • Convexity improves the duration estimate, especially for large rate moves.
  • The earnings view looks at near-term income; the economic value view looks at present value of all cash flows.
  • Funds transfer pricing credits and charges business units so rate risk sits with the treasury.
  • A pay-fixed swap hedges a rising-rate liability exposure; an FRA fixes a future borrowing or lending rate.
  • IRRBB covers rate risk in the banking book, assessed through both earnings and economic value.

Interest Rate Risk Management practice questions

Interest Rate Risk Management in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Interest Rate Risk Management: frequently asked questions

Is this chapter mostly numerical or theory?

It is a mix. Gap, duration, convexity and hedging give numerical questions, while sources of risk, FTP and IRRBB are theory. Prepare both, since MCQs can test either.

Which formulas must I know for this chapter?

Know the gap and change in net interest income formula, Macaulay and modified duration, the price change estimate with duration and convexity, and the cash flows of FRAs and swaps. Learn them with the direction of each effect.

Does this chapter apply to insurers as well as banks?

Yes. Insurers face rate risk when the duration of their investments does not match the duration of policy liabilities. The same measures and hedging tools apply.

How should I answer a hedging question?

First find the exposure and its direction. Then pick the instrument that offsets it, show the cash flows with rupee figures, state the net result, and end with a short recommendation.