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CAS Exam 9 · Regulatory Capital in Practice · Tutorial 881 of 995

Adjusted Capital Resources And Total Adjusted Capital

Build a regulatory capital numerator from statutory resources, applying stated eligibility rules and deductions without mixing in required capital.

Advanced 12 min read

What You'll Learn

  • Define statutory capital and surplus as the starting point for a regulatory capital-resource calculation
  • Build a transparent bridge to total adjusted capital using only specified adjustments
  • Apply eligibility limits and deductions to hypothetical capital items
  • Identify when nonadmitted assets or restricted resources are already reflected in the starting amount
  • Distinguish available capital resources from required capital
  • Check a capital bridge for omissions, double counting, and sign errors

From Statutory Resources to Adjusted Capital

A regulatory capital calculation has two different sides: the resources available to absorb losses and the capital requirement against which those resources are assessed. This tutorial focuses on constructing the resource side. The key discipline is to start with the correct statutory amount, then apply only adjustments that the specified regulatory framework permits.

The result is often called total adjusted capital (TAC). The term does not imply that every regulatory regime uses the same adjustment schedule. A calculation must follow the definitions, eligibility limits, and measurement date stipulated for the applicable framework. In particular, an item that is an asset, a source of funding, or an accounting balance is not automatically eligible as regulatory capital.

Definition: Statutory capital and surplus is the excess of admitted assets over liabilities for a specified insurer legal entity and valuation date, as reported under the applicable statutory accounting rules. Total adjusted capital is the regulatory measure of available capital resources obtained by starting with the prescribed statutory capital base and applying the adjustments the applicable rules permit. The resulting amount is a numerator or resource measure; it is not itself the required capital amount.

The bridge can include additions, deductions, or limited recognition of an item. For example, the calculation instructions might permit an addition for an eligible reserve or a qualifying capital instrument, while requiring a deduction for resources that are restricted or not available to absorb losses at the relevant entity. These treatments are framework-specific. The calculation should state the rule for each adjustment rather than rely on a general assumption that the item is always added or deducted.

$$ \text{Adjusted capital resources} = \text{prescribed statutory capital base} + \text{eligible additions} - \text{prescribed deductions} $$

“Eligible additions” and “prescribed deductions” are categories, not a universal list. If an item is already included in the starting amount, it must not be added again. Likewise, if an asset was already excluded in determining admitted assets, subtracting that same asset again would generally duplicate the effect unless the instructions explicitly require a separate deduction.

A Reliable Construction Method

Use a bridge that makes the starting point and every adjustment visible. Before calculating, identify the legal entity, reporting date, statutory capital base, and adjustment rules. Then record each item once, with its gross amount, eligible amount, and treatment.

1
Fix the basis.
Identify the entity, valuation date, and exact statutory capital measure required by the calculation. Do not substitute a consolidated amount for a legal-entity amount unless instructed.
2
Reconcile the starting resources.
If statutory capital and surplus must be derived, use admitted assets less liabilities. Check whether nonadmitted assets or other exclusions have already affected the reported amount.
3
Apply each prescribed adjustment.
For each item, apply the specified eligibility percentage, cap, or deduction. An item’s reported balance is not necessarily its recognized amount.
4
Reconcile and label the result.
Sum the signed adjustments, check that no item was counted twice, and identify the result as adjusted available resources—not required capital.

This procedure is a bookkeeping bridge, but its logic is substantive: the measure should represent resources recognized by the rules as available to support the regulated entity. An amount that is ineligible, unavailable, already excluded, or already included cannot be treated as a new source of capital merely because it appears elsewhere in a financial statement.

Theorem: If the regulatory instructions define a capital measure as a starting statutory amount plus specified eligible additions less specified deductions, then the measure is calculated by applying those signed adjustments once to that starting amount. This follows by partitioning the instructed adjustments into additions and deductions; an item already contained in the starting amount is not a new adjustment unless the instructions explicitly require it.

The practical implication is to make the calculation auditable. A reviewer should be able to trace each line to a stated rule and determine whether the amount is included, excluded, limited, or deducted. This is more reliable than beginning with a remembered list of adjustments from another regulatory context.

Worked Capital Bridges

Worked Example: Applying Eligibility and a Prescribed Deduction

A hypothetical insurer has statutory capital and surplus of $74.60 million at the measurement date. The stated regulatory instructions permit an addition of $5.20 million for an eligible reserve, recognize 80% of a $5.00 million qualifying capital note, and require a $1.40 million deduction for a specified unavailable resource. Calculate adjusted capital resources. Assume the starting surplus excludes both the reserve and the note, and the unavailable resource is not already deducted. No interest rate, mortality assumption, or probability distribution is used; this is a point-in-time accounting calculation.

Method. Build a signed adjustment bridge from the stated statutory starting amount. The key trap is to add the full note balance rather than its eligible portion.

First, the eligible note amount is:

$$ 0.80 \times \$5.00\text{ million} = \$4.00\text{ million}. $$

The reserve addition is $5.20 million. The prescribed deduction is $1.40 million. Therefore:

$$ \begin{aligned} \text{Adjusted resources} &= \$74.60 + \$5.20 + \$4.00 - \$1.40\\ &= \$79.80 + \$4.00 - \$1.40\\ &= \$83.80 - \$1.40\\ &= \$82.40\text{ million}. \end{aligned} $$

Check. Net adjustments are $5.20 + $4.00 - $1.40 = $7.80 million, and $74.60 + $7.80 = $82.40 million. The full $5.00 million note balance would overstate resources by $1.00 million.

Worked Example: Deriving the Statutory Starting Amount

A hypothetical insurer reports gross assets of $220.00 million, including $7.00 million of assets classified as nonadmitted. Its statutory liabilities are $195.00 million. The applicable calculation instructions say to add $2.40 million of an eligible reserve and $1.60 million of a qualifying adjustment, then deduct $0.80 million of restricted resources. Calculate adjusted capital resources. Assume the stated liabilities are complete and the adjustments are not already reflected in the derived statutory capital and surplus. No interest rate, mortality assumption, or probability distribution is used.

Method. Derive the statutory starting amount from admitted assets, not gross assets. The nonadmitted amount is excluded before the adjustment bridge.

Admitted assets are:

$$ \$220.00 - \$7.00 = \$213.00\text{ million}. $$

Statutory capital and surplus are admitted assets less liabilities:

$$ \$213.00 - \$195.00 = \$18.00\text{ million}. $$

Apply the separate prescribed adjustments:

$$ \begin{aligned} \text{Adjusted resources} &= \$18.00 + \$2.40 + \$1.60 - \$0.80\\ &= \$20.40 + \$1.60 - \$0.80\\ &= \$22.00 - \$0.80\\ &= \$21.20\text{ million}. \end{aligned} $$

Check. The net adjustment is $2.40 + $1.60 - $0.80 = $3.20 million; $18.00 + $3.20 = $21.20 million. A common incorrect calculation would start with $220.00 - $195.00 = $25.00 million, then subtract the $7.00 million nonadmitted amount again, or use $25.00 million without recognizing the nonadmitted assets. The correct starting surplus is $18.00 million: gross assets less nonadmitted assets, less liabilities. The nonadmitted assets are not deducted a second time from that result.

Worked Example: Combining a Recognition Limit and Restricted Resources

A hypothetical insurer has statutory capital and surplus of $120.00 million. For this calculation, that amount excludes a $10.00 million surplus note and an $8.00 million eligible reserve. The instructions recognize 70% of the note, permit the full reserve addition, require a $4.00 million deduction for resources unavailable to the insurer’s legal entity, and require a further $3.00 million deduction for a prescribed item. Calculate adjusted capital resources. Assume the two deductions are distinct and neither is already reflected in surplus. No interest rate, mortality assumption, or probability distribution is used.

Method. Apply the recognition percentage to the note, then add and subtract each distinct item once. The restricted amount is deducted because the stated rule says it is unavailable to this entity; an amount at an affiliate is not automatically fungible capital.

The recognized note amount is:

$$ 0.70 \times \$10.00 = \$7.00\text{ million}. $$

The complete bridge is:

$$ \begin{aligned} \text{Adjusted resources} &= \$120.00 + \$7.00 + \$8.00 - \$4.00 - \$3.00\\ &= \$127.00 + \$8.00 - \$4.00 - \$3.00\\ &= \$135.00 - \$4.00 - \$3.00\\ &= \$131.00 - \$3.00\\ &= \$128.00\text{ million}. \end{aligned} $$

Check. Additions total $15.00 million and deductions total $7.00 million, so the net increase is $8.00 million. The result, $120.00 + $8.00 = $128.00 million, agrees with the bridge. Adding the full note would produce $131.00 million and overstate the prescribed result by $3.00 million.

Keep Available Resources Separate From Required Capital

Adjusted capital resources answer a specific question: how much capital does the prescribed definition recognize as available for the regulated entity? Required capital answers a different question: how much capital does the applicable formula or model require? The two amounts may both be expressed in dollars, but they are not interchangeable and should be calculated from their own instructions.

This distinction matters when reading a regulatory calculation. A risk charge, covariance aggregation, or tax adjustment used to determine a required capital amount does not automatically become an adjustment to the capital-resource numerator. Conversely, an eligible balance-sheet resource does not reduce the required amount unless the rules explicitly say it does. The calculation of a ratio using different capital definitions is a separate step.

QuestionCapital resourcesRequired capital
What does it measure?Recognized resources available to absorb lossesThe prescribed capital requirement for the specified risks or entity
Typical starting pointStatutory capital and surplus, subject to stated adjustmentsA regulatory formula, model, or prescribed charge calculation
How should an adjustment be treated?Apply the resource eligibility or deduction ruleApply the rule governing the required-capital calculation
Can one amount be substituted for the other?NoNo

Common Errors and a Final Audit

A frequent exam error is to treat every favorable-looking balance as an addition to adjusted capital. The correct treatment depends on the calculation instructions, and the eligible amount may be smaller than the reported amount. A second error is to calculate statutory surplus from gross assets and then fail to account for nonadmitted assets—or to start from admitted assets and deduct those same nonadmitted assets again. A third is to combine numerator adjustments with risk charges that belong only in the required capital calculation.

Before accepting a result, ask the following:

  • Is the starting amount for the correct entity and measurement date?
  • Does the stated statutory amount already reflect asset admissibility or prior adjustments?
  • Was each addition limited to its eligible amount or cap?
  • Were deductions applied with the correct sign and only once?
  • Does every line belong to available resources rather than required capital?
Key takeaway: Total adjusted capital is a rule-defined bridge from a statutory capital base to recognized available resources. State the starting basis, apply each prescribed eligibility rule once, and keep the result distinct from required capital. This treatment is aligned with the CAS Exam 9 (Risk Management for Actuaries) syllabus.

Check Your Understanding

For each hypothetical calculation, apply only the stated rules and show the signed adjustments before checking the answer.

  1. A company has statutory capital and surplus of $48.00 million. The instructions permit an addition of $3.00 million for an eligible item, recognize 75% of a $4.00 million note, and require a $2.00 million deduction. What are adjusted resources? (Answer: $52.00 million)
  2. A hypothetical insurer has gross assets of $145.00 million, nonadmitted assets of $5.00 million, and liabilities of $126.00 million. The rules then add $1.50 million and $2.00 million and deduct $0.50 million; these adjustments are not already reflected in surplus. Find adjusted resources. (Answer: $17.00 million)
  3. Statutory capital and surplus is $90.00 million, excluding a $6.00 million eligible reserve and a $12.00 million qualifying note. The note is recognized at 60%. Apply separate deductions of $4.00 million for restricted resources and $1.20 million under a prescribed rule. Find adjusted resources. (Answer: $98.00 million)
  4. A hypothetical insurer has statutory capital and surplus of $160.00 million. The rules permit an $8.00 million addition and recognize 50% of a separate $10.00 million item. They also require deductions of $7.00 million and $2.50 million. All items are distinct and not already reflected in surplus. Calculate adjusted resources. (Answer: $163.50 million)
  5. A company reports gross assets of $310.00 million, including $12.00 million of nonadmitted assets, and liabilities of $270.00 million. Its instructions then permit a $5.00 million addition, recognize 80% of a separate $5.00 million note, and require a $3.00 million deduction. Find adjusted resources, explaining why the nonadmitted amount is not deducted a second time. (Answer: $34.00 million)
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