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Risk Management in Banking and Insurance · Interest Rate Risk Management

Earnings at Risk vs Economic Value of Equity (EVE)

Updated 11 October 2026 · Fact-checked

The earnings perspective measures how a rate change alters a bank's net interest income over the next one to two years. The economic value perspective measures how it changes the present value of all banking book cash flows, assets minus liabilities. Solve by finding the rate shock, repricing each item, then computing the change.

Understand Earnings and Economic Value Perspectives

Interest rate risk is the risk that a change in market rates hurts a bank. A bank can look at that harm in two ways. One looks at profit in the near term. The other looks at the value of the whole balance sheet.

The earnings perspective focuses on net interest income (NII), which is interest earned minus interest paid. You ask: if rates move by a given amount, how much does NII change over the next 12 months? The loss in NII is often called earnings at risk (EaR). It is short-term and links directly to reported profit. It depends on how fast each asset and liability reprices.

The economic value perspective asks how a rate change alters the present value of expected cash flows on assets, liabilities and off-balance sheet items. The result is the change in economic value of equity (EVE), where EVE = PV of assets − PV of liabilities (plus off-balance sheet items). It covers the full remaining life of the positions, so it captures long-term effects that NII misses. Under the Basel IRRBB framework this is called ΔEVE, and supervisors look at it against a bank's capital.

The two views can disagree. A bank with long-term fixed-rate assets funded by short-term deposits may show a small NII loss in year one but a large fall in EVE, because the value of those long assets drops. So banks use both.

To estimate either measure, banks use simulation (static or dynamic) and stress testing. Static simulation holds the balance sheet constant. Dynamic simulation assumes changes in volumes, mix and pricing. Stress testing applies large, unusual rate shocks, such as sudden parallel shifts, steepening or flattening of the curve, to see if the bank stays within its limits and capital.

Key rules to remember

Net interest income
NII = Interest income − Interest expense
Earnings perspective works on this figure, usually over a 12-month horizon.
Change in NII (gap approximation)
ΔNII ≈ Periodic gap × Δi × (fraction of year remaining after repricing)
Periodic gap = RSA − RSL for the bucket. Use the time left in the horizon after the midpoint of the bucket. Valid for small, parallel rate changes.
Economic value of equity
EVE = PV of assets − PV of liabilities (± off-balance sheet items)
Cash flows are discounted at market rates for the whole remaining life.
Change in EVE
ΔEVE = EVE after shock − EVE before shock
A negative value is a loss of economic value. It is compared with capital.
Duration approximation for EVE
ΔEVE ≈ −(D_A × A − D_L × L) × Δi ÷ (1 + i)
Uses modified-duration style approximation with D_A and D_L as duration of assets and liabilities. Good only for small parallel shifts.

How to solve Earnings and Economic Value Perspectives questions

Use this order for any question that asks you to compare, compute or explain earnings and economic value measures.

  1. 1Identify which perspective the question asks for: NII/earnings over a short horizon, or EVE over the full life of positions.
  2. 2Note the rate shock: size, direction, parallel or non-parallel, immediate or gradual.
  3. 3For the earnings view, sort assets and liabilities into repricing buckets and find the rate-sensitive gap in the horizon.
  4. 4Compute ΔNII for each bucket as gap × rate change × time remaining in the horizon, then add the buckets.
  5. 5For the economic value view, discount the cash flows of assets and liabilities at the old and new rates, or use duration for a small shock, and find ΔEVE.
  6. 6State the sign clearly as a gain or loss and compare it with the limit or with capital if given.
  7. 7If simulation or stress testing is asked, name the type (static, dynamic, scenario shock), its assumptions and its limits.
  8. 8Close with a one-line recommendation: reduce the gap, shorten asset duration, or hedge.

Quickest way: Gap and duration shortcut

When to use it: Use in MCQs and short numerical parts where rate shocks are small and parallel and data are given as gaps or durations.

  1. For NII, multiply the one-year gap by the rate change. If the question gives a bucket midpoint, scale by the fraction of the year left.
  2. Positive gap with rising rates means NII rises. Negative gap with rising rates means NII falls. Reverse for falling rates.
  3. For EVE, compute duration-weighted assets minus duration-weighted liabilities, then multiply by −Δi ÷ (1 + i).
  4. If asset duration is longer than the liability-weighted duration, rising rates cut EVE.
  5. Check the sign against intuition before writing the answer.

Common mistakes in Earnings and Economic Value Perspectives

  • Treating NII change and EVE change as the same measure

    Both come from the same rate shock, so students assume they move together.

    Fix: Remember NII is a short-term earnings measure, EVE is a long-term value measure. They can have opposite signs.

  • Applying the full-year effect to every bucket's gap

    Students ignore that positions repricing mid-year earn the new rate only for the rest of the year.

    Fix: Multiply each bucket's gap by the fraction of the horizon remaining after repricing.

  • Wrong sign on the effect of rate rises

    Mixing up rate-sensitive assets (RSA) and rate-sensitive liabilities (RSL).

    Fix: Gap = RSA − RSL. Positive gap benefits from rising rates. Write this before calculating.

  • Using duration approximation for large shocks

    The formula looks simple and is applied everywhere.

    Fix: Use it only for small parallel shifts. For large shocks, state that convexity matters or reprice the cash flows.

  • Describing stress testing as the same as simulation

    Both use scenarios and models.

    Fix: Simulation projects results under expected or defined rate paths. Stress testing applies extreme but plausible shocks to test resilience against limits and capital.

  • Ignoring behavioural assumptions

    Students treat all deposits as repricing at maturity.

    Fix: Mention assumptions on non-maturity deposits and prepayment of loans, since they change both NII and EVE results.

Worked examples

Example 1

A bank's one-year horizon shows a cumulative rate-sensitive gap (RSA − RSL) of ₹200 crore. Rates rise by 1% (100 basis points) across the curve with all repricing at the start of the year. Find the change in NII and state the impact.

Show the solution
  1. Gap = RSA − RSL = ₹200 crore, which is positive.
  2. All positions reprice at the start, so the full year applies.
  3. ΔNII = Gap × Δi = ₹200 crore × 1% = ₹2 crore.
  4. Positive gap with rising rates means NII rises.

Answer: NII increases by ₹2 crore. If rates fell by 1%, NII would fall by ₹2 crore.

Example 2

A bank has assets of ₹1,000 crore with duration 4 years and liabilities of ₹900 crore with duration 2 years. Market yield is 10%. Rates rise by 1% (parallel). Using the duration approximation, find ΔEVE.

Show the solution
  1. Duration-weighted assets = 4 × 1,000 = 4,000.
  2. Duration-weighted liabilities = 2 × 900 = 1,800.
  3. Difference = 4,000 − 1,800 = 2,200.
  4. ΔEVE ≈ −2,200 × 0.01 ÷ 1.10 = −22 ÷ 1.10 = −20.
  5. So EVE falls by ₹20 crore.
  6. Compare: starting EVE = 1,000 − 900 = ₹100 crore, so the fall is 20% of EVE.

Answer: ΔEVE ≈ −₹20 crore, a fall of about 20% of current EVE. The bank has a long asset duration against short liabilities, so rising rates hurt economic value. It should shorten asset duration or hedge.

Exam tips

  • Always state which perspective you are using and the horizon before calculating.
  • Show the sign and the words gain or loss. Examiners reward the interpretation as much as the figure.
  • In theory answers, give one point on strengths and one on limits for each perspective, then say banks use both.
  • For simulation and stress testing questions, name the type, the assumptions and the action the bank would take.
  • In case scenario MCQs, check whether the data are gaps (earnings view) or durations and present values (EVE view).

Practice questions from Interest Rate Risk Management

Earnings and Economic Value Perspectives: frequently asked questions

What is the difference between earnings at risk and economic value of equity?

Earnings at risk measures the change in net interest income over a short horizon, usually one year. Economic value of equity measures the change in the present value of all banking book cash flows over their full life. The first shows near-term profit impact, the second long-term capital impact.

Which approach is better for managing interest rate risk?

Neither is complete alone. The earnings view is easy to link to profit but ignores long-term effects. The economic value view captures the full life of positions but is less tied to reported profit. Banks and supervisors use both.

What is the difference between simulation and stress testing?

Simulation projects NII or EVE under defined rate paths and balance sheet assumptions, either static or dynamic. Stress testing applies severe but plausible shocks to see whether the bank stays within limits and has enough capital. Stress tests are often run on top of simulation models.

Does the EVE approach apply to the whole balance sheet?

It applies to the banking book positions that are interest rate sensitive, including off-balance sheet items. Trading book positions are covered under market risk rules instead. Check the regulatory topic for how the supervisor sets limits and reporting.