Why the Name on the Account Is Not Always the Obligor
An insurer may hold cash in several forms: notes in a secure location, a bank deposit, cash swept into a fund, or cash recorded in a custody account. These arrangements can look similar on a balance sheet, but they do not necessarily create the same credit exposure. The key question is which legal entity must pay, return, or transfer value to the insurer?
For a deposit, that entity is generally the bank that owes the account balance. For securities held in custody, the issuer of each security may owe the investment cash flows, while the custodian provides safekeeping and settlement services. A guarantee introduces another entity that may have to pay if the primary obligor fails. Correct measurement begins by separating those roles.
The amount at risk depends on the claim that exists at the measurement date, not just the account label or the cash initially placed. For a deposit, the claim commonly includes principal and any interest already accrued and owed. A valid contractual setoff can reduce the net amount. A protection arrangement, such as an applicable guarantee or deposit protection, may also reduce the amount attributed to the original obligor, subject to its terms and recognition rules.
Measuring Deposit and Cash Exposure
A bank deposit is a claim against the bank. Physical cash held by the insurer is different: it is not, simply by being cash, a claim against a bank. It can be exposed to theft or physical loss, but those are not bank credit exposures unless a bank or another entity has separately undertaken an obligation to the insurer.
For one obligor, let \(C_j\) be each positive claim due from that obligor, and let \(O\) be the amount of an offset that is legally enforceable and applicable to those claims. The gross claim is the sum before offsets. The net credit exposure is never negative: if the offset exceeds the claims, report zero exposure and record the net liability separately.
This netting is appropriate only when the offset is legally available against the claims being measured. A payable to one bank cannot normally reduce a deposit claim on another bank. Even with the same institution, different legal entities, account capacities, or contracts may prevent setoff. An analyst should not infer an offset merely because two amounts appear in accounts bearing similar names.
Worked Examples
Worked Example: Two Deposits, Accrued Interest, and a Valid Setoff
An insurer has two deposits at Northbank: an operating account of $940,000 and a term account of $310,000. Accrued interest of $4,500 is owed on the term account. The insurer also owes Northbank $180,000 under a separate contract. The contracts and applicable law are stipulated to permit setoff between these obligations. For this hypothetical, assume a separate, enforceable deposit-protection arrangement covers $200,000 of the post-setoff deposit claim. Find the gross claim, net exposure to Northbank before protection, and residual exposure after protection.
Method. First identify the obligor and total its claims, including accrued interest. Then apply the stipulated setoff. Consider the separate protection only after calculating the claim remaining against the bank.
Step 1: Calculate the gross claim on Northbank. The operating-account claim is $940,000. The term-account claim including interest is \( \$310{,}000+\$4{,}500=\$314{,}500 \). Therefore:
Step 2: Apply the valid setoff. The $180,000 payable is owed to the same obligor, and setoff is stipulated to be legally enforceable. Thus:
Step 3: Apply the stated protection. The protection covers $200,000 of the post-setoff amount, which is less than $1,074,500. The remaining exposure attributed to Northbank is:
Check and trap avoided. The gross claim is $1,254,500, the valid offset is $180,000, and the stipulated protection is $200,000; the residual is $874,500. Do not omit accrued interest or subtract protection from the gross amount while overlooking the setoff. The protection terms and eligibility must be established rather than assumed from a generic coverage limit.
Worked Example: Custodian, Bank, Issuer, and Broker
A hypothetical insurer holds $3,600,000 of segregated bonds through a custodian. It also has $480,000 of cash deposited at the custodian’s affiliated bank, a $26,000 dividend receivable from a bond issuer, and a $145,000 settlement receivable from a broker. The insurer owes that same broker $50,000. Assume the bonds are legally segregated from the custodian’s estate, there is no reuse of the bonds, and the settlement contract permits enforceable netting between the broker receivable and payable. Identify the relevant obligors and calculate the measured credit exposures.
Method. Classify each asset by the entity that owes it; do not treat the service provider as obligor on every asset it handles.
Step 1: Identify the claims. The $480,000 deposit is a claim on the affiliated bank. The $26,000 dividend is a claim on the issuer. The $145,000 settlement receivable is a claim on the broker. Under the stated segregation and no-reuse assumptions, the custodian holds the $3,600,000 of bonds but does not owe the insurer their investment cash flows.
Step 2: Apply the broker netting arrangement. The broker receivable and payable are claims of opposite direction against the same legal entity, and enforceable netting is stipulated. The net broker exposure is:
Step 3: Report by obligor. The exposures are $480,000 to the bank, $26,000 to the issuer, and $95,000 to the broker. Their sum for this set of identified claims is:
Check and trap avoided. The $3,600,000 of segregated bonds is not added as a claim on the custodian under the assumptions given; it remains an investment exposure to the relevant issuers. The bank deposit is a separate claim even though the bank is affiliated with the custodian. If segregation, ownership, or reuse terms differed, the custodian-related analysis could differ as well.
Worked Example: A Guarantee of a Bank Deposit
An insurer holds a $900,000 deposit at Westlake Bank and is owed $9,000 of accrued interest. A separate guarantor has issued an enforceable guarantee covering up to $350,000 of the bank’s unpaid deposit obligation if Westlake defaults. Assume the guarantee is available for this claim and has no deductible or other reduction. State the gross claim on the bank, the amount still exposed to the bank after recognizing the guarantee, and the contingent amount exposed to the guarantor.
Method. Keep the primary claim and the secondary protection distinct. A guarantee can reallocate part of the potential payment obligation; it does not create an additional $350,000 of deposit principal.
Step 1: Include accrued interest in the bank claim.
Step 2: Calculate the uncovered amount. The guarantee covers $350,000, which is less than the $909,000 claim. The amount remaining exposed to Westlake is:
Step 3: Record the guarantor leg. If the bank defaults and the guarantee conditions are met, the insurer may have a claim of up to $350,000 against the guarantor. Thus the contingent exposure to the guarantor is $350,000. The two legs describe the allocation of the original $909,000 claim: $559,000 remains with the bank and $350,000 is covered by the guarantor.
Check and trap avoided. The allocated amounts reconcile: \(\$559{,}000+\$350{,}000=\$909{,}000\). Do not report $909,000 against the bank and then add $350,000 as if the guarantee created a second deposit claim. The guarantor’s ability and obligation to pay, and the guarantee’s scope, must be assessed separately.
Why the Net Exposure Formula Has a Zero Floor
The formula follows from the meaning of exposure as a claim the insurer could lose. Suppose total claims on one obligor are \(C=\sum_{j=1}^{n}C_j\). If a valid offset \(O\) is less than \(C\), the remaining claim is \(C-O\). If \(O\) is at least \(C\), the claims are fully extinguished, but there is no negative claim against the obligor. In that case the insurer may have a liability for the excess, which is reported separately. These cases combine as:
This is a measurement rule, not a substitute for legal analysis. If an offset is disputed, unavailable in insolvency, or applies to a different entity, it should not be used to reduce the credit exposure in this calculation.
Other Financial Arrangements and Common Traps
Cash-management products can place several legal relationships behind one statement line. A sweep arrangement may move a bank balance into shares of a money-market fund; after the sweep, the insurer may own fund units rather than hold a deposit claim for the same amount. The relevant exposure then depends on the fund’s assets, liabilities, legal structure, and any separate obligations of service providers. Similarly, a custodian’s role in holding assets does not by itself make the custodian the obligor on every asset.
For each position, ask what the insurer legally owns or is owed, who owes it, and what contract or law permits any offset or protection. Record multiple obligors separately when the arrangement creates multiple claims. Do not equate the institution named on a statement with the obligor without checking the legal arrangement.
Decide whether it is physical cash, a deposit, a security, a settlement receivable, a fund interest, or another contractual claim.
Identify the entity that must pay or perform. For securities, distinguish the issuer from the custodian and any intermediary.
Include amounts currently owed, such as accrued interest where applicable, and state the measurement date and units.
Apply only enforceable same-obligor offsets and protection that is applicable to the claim. Show each reduction separately.
Keep gross claims, residual exposure, contingent guarantor claims, and any liability position distinct; do not double-count the same covered amount.
A frequent exam trap is subtracting an offset without applying the zero floor. For example, if claims total $10,000 and an applicable offset is $20,000, the incorrect calculation is \( \$10{,}000-\$20{,}000=-\$10{,}000 \) of exposure. The corrected calculation is \( \max(0,\$10{,}000-\$20{,}000)=\$0 \) of credit exposure. The $10,000 excess belongs in the liability or net-position reporting, not as a negative exposure.
Other common errors include ignoring accrued interest, netting amounts owed by different legal entities, counting segregated securities as a debt of the custodian without justification, and adding a guarantee to the covered claim rather than allocating the claim between obligors. Careful identification of the claim and counterparty is aligned with the CAS Exam 9 (Risk Management for Actuaries) syllabus.
Check Your Understanding
For each problem, identify the obligor or obligors and calculate the requested exposure. Treat all stated legal and protection assumptions as given.
- An insurer has a $275,000 deposit and $1,250 accrued interest at Cedar Bank. It owes the bank $40,000 under a contract with enforceable setoff. What is the net exposure to Cedar Bank? (Answer: $236,250.)
- An insurer keeps $18,000 in physical currency in its own secure vault and has a separate $62,000 demand deposit at a bank. What is its bank credit exposure from these two items, excluding physical-loss risk? (Answer: $62,000.)
- A custodian holds $1,200,000 of stipulated segregated securities without reuse. The insurer also has a $90,000 cash deposit at the custodian’s bank and a $14,000 settlement receivable from a broker, with no broker payable or netting arrangement. What are the credit exposures to the custodian’s bank and the broker? (Answer: $90,000 to the bank and $14,000 to the broker; no claim on the custodian for the securities under the stated assumptions.)
- An insurer has a $510,000 deposit claim against Harbor Bank. A valid guarantee from another entity covers up to $125,000 of this claim. What is the residual exposure to Harbor Bank and the contingent exposure to the guarantor? (Answer: $385,000 to Harbor Bank and up to $125,000 to the guarantor.)
- An insurer has two claims of $72,000 and $31,000 against one bank, plus a $9,000 accrued-interest claim. A valid, applicable setoff is $120,000. What is the net credit exposure, and how should the excess setoff be described? (Answer: $0 credit exposure; the $8,000 excess is a net liability or other net position, not negative exposure.)