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FRM Part 2 · Worked study notes

Integrated Risk Case Drill

An integrated risk case follows one scenario through valuation losses, counterparty exposure, cash demands and operational constraints. Keep economic losses distinct from liquidity needs, then check whether the proposed response can be executed.

The method at a glance

  • 01Value

    How it works: Compute each economic loss using consistent assumptions.

    Watch for: Counting the same price decline in multiple loss categories.

  • 02Cash

    How it works: Identify margin, withdrawals and settlement timing separately.

    Watch for: Treating posted recoverable collateral as an immediate economic loss.

  • 03Response

    How it works: Check liquid resources, authority and operational capacity.

    Watch for: Assuming a hedge can be placed during a system outage.

Original worked example

A hedged position under a funding shock

A portfolio loses 4 million while its hedge gains 3 million. A timing mismatch requires 2 million of cash margin today; the hedge receipt settles tomorrow. Only 1.2 million cash is available today.

  1. STEP 1

    Net marked economic loss = 4 - 3 = 1 million.

  2. STEP 2

    Today’s cash shortfall = 2 - 1.2 = 0.8 million.

  3. STEP 3

    Assess funding or collateral actions available today; tomorrow’s receipt does not close today’s gap.

Report a 1 million net loss and a separate 0.8 million immediate funding gap. Do not simply add the 2 million margin posting to the loss.

Illustrative assumptions and calculations for learning. Not observed market data or an official exam item.

Apply the method and check its limits

Before you start: Market P&L, collateral settlement, counterparty exposure and recovery constraints.

Use two reconciliations for one scenario

First reconcile asset and hedge valuation changes to net economic P&L. Then reconcile cash available at each deadline to margin and payment needs. Recoverable collateral can move cash without creating an immediate equal-sized expense. Label each amount with its time, currency and whether it is a value change or cash transfer.

Recalculate after a mitigation changes the position

Suppose selling an asset produces 0.8 million of cash but creates an additional 0.1 million economic loss, measured relative to its already-stressed value. It closes the original 0.8 million gap, while total economic loss rises from 1 million to 1.1 million. If the sale settles after today’s margin deadline, it does not close today’s gap. Both the price and timing assumptions matter.

Reconcile the response back to the case

Selling an asset may close the cash gap but crystallize a loss or change the hedge. Borrowing may need unencumbered collateral and approval. A counterparty default can prevent the expected hedge receipt. Recalculate the economic and cash positions after each proposed action and state any remaining dependency.

Work through the topic

Work through one original scenario that combines market value, credit deterioration and a funding deadline. Reconcile the numbers before recommending a response.

Set the starting balance sheet and scenario

Assume a treasury portfolio contains 20 million of fixed-rate bonds with modified duration 4 and 1.5 million of immediately available cash. A separate loan portfolio has exposure of 10 million, one-year PD of 2% and LGD of 40%. The institution also has a 1 million undrawn facility assumed available for this exercise. These are original supplied inputs, not observed institution data.

The scenario raises bond yields by 100 bp, changes the loan PD to 5% and LGD to 50%, and requires a 2.2 million cash collateral payment by the next morning. Use a first-order bond approximation and the simplified PD × LGD × exposure expression for expected credit loss. Keep the market-value calculation, expected-loss calculation and cash schedule separate because they measure different things.

Before solving, identify what is not supplied: convexity, credit migration prices, detailed margin terms, facility conditions and asset-sale settlement constraints. The exercise gives enough information for a bounded answer, not a complete enterprise stress result. A strong response uses the supplied assumptions and names the missing information that could change the action.

Original integrated scenario: inputs by risk channel

Market
Starting input: Bonds 20 million; modified duration 4
Stress assumption: Yield +100 bp
Credit
Starting input: Exposure 10 million; PD 2%; LGD 40%
Stress assumption: PD 5%; LGD 50%
Funding
Starting input: Usable cash 1.5 million
Stress assumption: Collateral due 2.2 million
Contingency
Starting input: Undrawn facility 1 million
Stress assumption: Assumed available before the deadline

Reconcile each output and avoid double counting

The first-order bond value change is -20 million × 4 × 0.01 = -0.8 million. The approximate new bond value is 19.2 million. This is an economic value estimate under the stated yield shock, excluding convexity and any separate credit-spread or cash-flow changes. It is not automatically an immediate cash payment of 0.8 million.

Baseline expected credit loss is 10 million × 0.02 × 0.40 = 80,000. Under the supplied stress parameters it becomes 10 million × 0.05 × 0.50 = 250,000, an increase of 170,000. This is a change in a modeled one-year expectation. It should not be added mechanically to the bond value loss and described as an exact same-day realized loss, especially without specifying whether any exposure overlaps.

The immediate collateral shortfall is 2.2 million - 1.5 million = 0.7 million. Drawing 0.7 million of the assumed available facility closes that gap and leaves 0.3 million of undrawn capacity. The collateral payment is a transfer under a contract, not automatically another 2.2 million economic loss. A report should show value changes, expected losses and funding requirements on separate lines.

Original case solution: three outputs with different meanings

Bond value change
Result: Approximately -800,000
Meaning: First-order valuation effect
Expected credit loss change
Result: +170,000
Meaning: Increase in modeled one-year mean loss
Immediate cash gap
Result: 700,000
Meaning: Funding needed before the deadline
Undrawn facility after response
Result: 300,000
Meaning: Remaining assumed contingency capacity

Change the funding assumption and choose a response

Now suppose only 0.4 million of the facility is accessible by the deadline because an authorization dependency is unavailable. The initial 0.7 million gap is reduced to 0.3 million, but remains unresolved. This changes the immediate action even though the market and credit calculations are unchanged. An operational constraint has become a liquidity problem.

A proposed bond sale must generate enough usable proceeds by the required time, after costs and settlement constraints. If proceeds arrive later, it cannot close the immediate gap without another bridge. Selling also changes the market-risk exposure and may realize part of a value decline already reported. Do not count that same markdown twice when summarizing the scenario.

A defensible response identifies the remaining 0.3 million gap, escalates the funding constraint, confirms feasible same-deadline resources and assigns the authorization repair. The broader review revisits credit assumptions and residual market exposure after any transaction. State which actions are assumed executable and which require confirmation. The purpose of integration is to trace interactions, not to collapse incompatible numbers into one impressive total.

Why not add every adverse number into a total risk figure?

The figures can use different horizons and meanings, and some represent transfers rather than losses. They may also overlap. Define a consistent loss measure and reconcile the channels before aggregation; keep the cash schedule visible separately.

What makes an integrated answer stronger than separate calculations?

It explains how one event changes another channel and the feasible response. Here an authorization problem restricts funding access, while a bond sale affects both cash and market exposure. The decision depends on those links.

Try a changed assumption

If an outage delays today’s proposed asset sale until tomorrow, does its expected cash receipt repair the current margin shortfall?

Show answer and reasoning

No. The operational disruption prevents the liquidity response from executing on time. The immediate 0.8 million gap remains even if the sale is economically sensible.

Original learning check. No email or account needed.

Which risk should I calculate first?

Follow the facts and the question. A useful default is valuation, then cash timing, then execution constraints. This is a study workflow, not an official scoring rubric.

Sources and scope

Links checked 2026-10-10. GARP establishes exam scope; the technical references support the methods identified below. These are selected study notes and original examples, not complete curriculum coverage or official exam questions.

Prepared by MiloPrep editorial team. MiloPrep is independent of GARP. References do not imply endorsement or independent review of these notes.