CMA Final · Risk Management in Banking and Insurance

Sovereign Risk and Insolvency Risk: formula sheet

Full chapter guide

Key formulas

Sovereign risk (definition): Sovereign risk = risk of government non-payment or government-imposed restriction on payment; Learn both parts: the government as borrower, and the government as rule-maker.
Main types: Default risk + Transfer risk + Convertibility risk; Transfer and convertibility are often grouped together as currency-related restrictions.
Relationship to country risk: Country risk ⊃ Sovereign risk; Country risk is broader. Sovereign risk is one component of it.
Fiscal deficit: Fiscal deficit = Total expenditure − Total receipts excluding borrowings; Shows how much the government must borrow in a year. Compare it with GDP.
Debt burden: Debt-to-GDP ratio = Government debt ÷ GDP × 100; Higher ratio generally means weaker capacity, but growth and interest cost also matter.
Interest burden: Interest-to-revenue ratio = Interest payments ÷ Government revenue × 100; Shows how much revenue is used to service debt.
External vulnerability: Reserve cover (months) = Foreign exchange reserves ÷ Monthly imports; Also compare reserves with short-term external debt. Lower cover means higher risk.
Current account: Current account deficit ratio = Current account deficit ÷ GDP × 100; A persistent large deficit needs foreign funding and raises vulnerability.
Core assessment rule: Sovereign risk = Ability to pay + Willingness to pay; Use this as the frame for every answer: economic, fiscal, external, monetary, political.
Country exposure: Country exposure = Funded exposure + Non-funded exposure (after any agreed conversion) to borrowers in that country; Include loans, investments, placements and guarantees or letters of credit. Check the question for any stated conversion factor.
Limit utilisation: Utilisation % = Current exposure ÷ Approved country limit × 100; Above 100% means a breach that needs approval or reduction.
Exposure as share of capital: Country exposure ratio = Country exposure ÷ Bank's capital funds × 100; Used to set limits relative to capital. The cap itself is set by the bank's board policy unless the question gives it.
Insured loss: Claim = Insured percentage × Eligible loss; Cover is usually partial and only for covered causes. Use the percentage given in the question.
Net exposure after cover: Net exposure = Gross exposure − Insured or guaranteed amount; Guarantee by a stronger party can shift exposure to that party's country.
Insolvency condition: Insolvent when Total assets (realisable value) < Total liabilities, i.e. Net worth < 0; Net worth = Assets − Liabilities. Use realisable or market value of assets, not book value.
Capital ratio: Capital ratio = Capital ÷ Risk-weighted assets × 100; Higher ratio means a larger cushion against losses. Minimum levels come from Basel norms and RBI guidelines.
Loss absorption: Loss a bank can absorb before insolvency = Capital (net worth); Losses up to capital are borne by owners. Losses beyond it fall on depositors and creditors.
Simple leverage: Leverage = Total assets ÷ Capital; A fall in asset value of (1 ÷ Leverage) × 100 per cent wipes out capital.
Capital adequacy ratio (CRAR): CRAR = (Eligible capital ÷ Risk-weighted assets) × 100; Compare with the regulatory minimum plus buffers. Higher means safer.
Leverage ratio: Leverage ratio = (Tier 1 capital ÷ Total exposure) × 100; Uses no risk weights. It is a backstop to CRAR.
Equity multiplier: Equity multiplier = Total assets ÷ Equity; Shows how many times assets are financed per rupee of equity.
Z-score: Z = (ROA + E/A) ÷ σ(ROA); ROA is the mean return on assets, E/A is equity to assets, σ(ROA) is the standard deviation of ROA. Higher Z means lower insolvency risk.
Loss absorption: Assets can fall by at most Equity ÷ Total assets (as a %) before insolvency; Simple test of the cushion.

Quick revision

Sovereign risk is the risk that a government fails to honour its debt or imposes restrictions affecting payments.
Sovereign risk can arise from default, payment or transfer restrictions, and adverse policy or political change.
Sovereign ratings summarise a government's ability and willingness to repay.
A downgrade usually raises funding cost and can hit the value of holdings.
Diversifying exposure across countries reduces concentration in sovereign risk.
Insurance and guarantees against political or transfer risk are common mitigation tools.
Insolvency risk is the risk that liabilities exceed assets and capital cannot absorb losses.
Credit, market, liquidity and operational losses are common causes of insolvency.
Capital is the buffer that absorbs losses before depositors or policyholders are hurt.
Higher capital and sound risk monitoring lower the chance of insolvency.
Always answer in the order: meaning, causes or types, measurement, mitigation.

Common mistakes

Treating sovereign risk and country risk as the same thing. Fix: Remember that country risk is wider. Sovereign risk concerns the government's own obligations and its payment restrictions.
Assuming a government cannot default because it can print money. Fix: A government can default on foreign currency debt, and printing money can cause inflation and currency collapse. Default may also be a choice, not only a failure of ability.
Listing only economic numbers and ignoring political and institutional factors. Fix: Always cover willingness to pay: stability, rule of law, policy record and payment history.
Treating foreign currency and local currency ratings as the same. Fix: State that agencies rate both separately, and that local currency debt is usually easier to service.
Treating sovereign risk as the same as ordinary credit risk of a borrower. Fix: Say sovereign risk is driven by country or government action and affects all borrowers there. Borrower appraisal cannot remove it.
Leaving non-funded exposure out of country exposure. Fix: Include guarantees, letters of credit and other contingent items as the question directs.
Treating insolvency and illiquidity as the same thing Fix: Insolvency is assets below liabilities. Illiquidity is a timing shortfall of cash with assets still adequate.
Using book value of assets to test solvency Fix: Use realisable or market value after losses and provisions.
Mixing percentages and decimals in the Z-score Fix: Convert everything to one unit before dividing.
Using variance instead of standard deviation Fix: The formula uses σ, the standard deviation.

Exam tips

Expect MCQs asking you to match a short scenario to default, transfer or convertibility risk. Read who the borrower is first.
In descriptive answers, always cover meaning, causes, types and effect on the bank. That structure earns marks.
Keep the sovereign versus country risk distinction ready. It is a favourite short question.
Use a simple example with a foreign borrower and currency controls to show understanding, not just recall.
Open every answer with ability and willingness to pay. It earns the definition mark and gives structure.
In case questions, quote the given figures, compute the ratio, and state whether it is good or bad.
For comparison questions, write four short differences, not a long paragraph.
In MCQs, check the direction of the indicator: higher debt, deficit and interest burden raise risk; higher reserves and growth lower it.