University of Sydney · FACULTY OF BUSINESS & ECONOMICS

BANK3011 · Bank Financial Management

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Chapter 10 of 11 · BANK3011

Deposit Insurance & Other Liability Guarantees

Deposit insurance is the Week 11 topic in BANK3011 Bank Financial Management at the University of Sydney, and it sits on the trade-off that runs through the whole unit: a guarantee that stops bank runs but breeds moral hazard. Because demand deposits are paid first-come-first-served, a guarantee removes the incentive to run — but once deposits are safe, depositors stop monitoring and, if the premium is not risk-based, insured banks are effectively paid to gamble. This chapter is almost entirely conceptual (no formula appears on the exam formula sheet), so the marks come from a balanced argument that names both sides of the trade-off, the flat-versus-risk-based premium fix, the three disciplines that control risk-taking, and the Australian FCS/WGS context.

In this chapter

What this chapter covers

  • 011. The run problem — demand deposits are first-come-first-served, so place-in-line has value and rational depositors withdraw first
  • 022. How deposit insurance stops runs — it removes the incentive to run, not by holding enough cash to pay everyone at once
  • 033. The wider safety net — deposit insurance (FDIC / Australia's FCS), lender of last resort (discount window), and prudential supervision (APRA)
  • 044. Deposit insurance as an option — shareholders hold a call on bank assets (limited liability); the fund is short a put struck at insured deposits
  • 055. Moral hazard — a flat premium subsidises risk and mutes depositor discipline, so insured banks take on more asset risk
  • 066. Risk-based premiums — the fix: charge each bank its own actuarially-fair premium so the subsidy to risk disappears
  • 077. The three disciplines — stockholder (risk-based premiums, capital, closure zones), depositor (caps, haircuts), regulator (exams, market-value accounting, prompt corrective action)
  • 088. Capital forbearance vs prompt corrective action, and the Australian context (FCS free guarantee, WGS risk-based fee, depositor preference)
Worked example · free

The flat-premium subsidy — fair vs flat premiums for two banks

Q [8 marks]. Two banks each fund with $600m of insured deposits. In a stress scenario, Bank Prudent has a 1.5% probability of a shortfall that costs the fund $40m; Bank Aggressive has a 5% probability of a $120m shortfall. The regulator sets a single flat premium of 25 basis points of insured deposits. Find each bank's actuarially-fair premium, compare it with the flat charge, and say what the flat scheme rewards. (Note: this is a conceptual illustration — there is no deposit-insurance formula on the BANK3011 exam formula sheet.)
  • +2Fund's expected payout (the fair cost) = probability × loss. Prudent: 0.015 × $40m = $0.60m. Aggressive: 0.05 × $120m = $6.00m.
  • +2Actuarially-fair premium = expected payout / insured deposits. Prudent: 0.60 / 600 = 0.10% = 10 basis points. Aggressive: 6.00 / 600 = 1.00% = 100 basis points.
  • +1Flat premium in dollars: each bank pays 0.25% × $600m = $1.50m — the same charge, whatever its asset risk.
  • +1Compare. Bank Prudent overpays: $1.50m − $0.60m = $0.90m above its fair cost. Bank Aggressive underpays: $6.00m − $1.50m = $4.50m below its fair cost.
  • +1Interpret: the flat scheme hands Bank Aggressive a $4.50m expected subsidy, funded by the prudent bank and the fund — it is paid to take risk. That is moral hazard.
  • +1The fix: a risk-based premium charges each bank its own fair value (10 bp vs 100 bp), so the subsidy to risk disappears and stockholder discipline is restored.
Fair premiums are 10 bp (Prudent) and 100 bp (Aggressive). The single 25 bp flat charge overtaxes the safe bank by $0.9m and subsidises the risky bank by $4.5m — the numeric face of the flat-versus-risk-based premium wedge. Risk-based pricing removes the subsidy.
Sia tip — Lay the argument out in order: expected payout (probability × loss), then the fair premium (payout / insured deposits), then the flat charge in the same units, then the over/under-payment, then the one-line moral-hazard reading. Do not cite a formula — there is none on the sheet — but the expected-payout logic is standard, and the marks are in showing the fair premium before you judge the flat one.
Glossary

Key terms

Deposit insurance
A guarantee of deposits up to a cap (in the US, the FDIC insures up to at least US$250,000 per depositor per bank). It stops runs by removing the incentive to withdraw first, not by holding enough cash to honour every withdrawal on demand.
Moral hazard
The tendency of an insured party to take more risk because the cost of a bad outcome falls partly on the insurer, not on itself. In banking, a flat insurance premium lets insured banks chase risk while the fund absorbs the downside.
Risk-based (vs flat-rate) premium
A premium that rises with a bank's asset risk, set toward its actuarially-fair value. It fixes the moral-hazard flaw of a flat premium, which charges every bank the same and so subsidises the risky ones.
Stockholder / depositor / regulator discipline
The three ways to control insured risk-taking: stockholder (risk-based premiums, higher capital, closure zones), depositor (insurance caps and haircuts on the uninsured), and regulator (frequent exams, market-value accounting, prompt corrective action).
Capital forbearance
A regulator allowing an undercapitalised or insolvent bank to keep operating instead of closing it. It looks cheaper now but a 'zombie' bank gambles for resurrection, so losses compound and the eventual bill to the fund and shareholders grows.
Prompt corrective action
A rules-based regime that escalates mandatory intervention as a bank falls through five capital zones — dividend restrictions, growth limits, and ultimately forced closure — removing the regulator's discretion to forbear.
Financial Claims Scheme (FCS)
Australia's free, government-backed guarantee of retail deposits at an ADI, introduced in the GFC at AUD 1m per depositor per institution and later reduced to AUD 250,000. Before it, Australia (with NZ) had no explicit deposit insurance.
Discount window (lender of last resort)
Central-bank emergency liquidity: short-term, collateralised lending against high-quality assets to a solvent bank facing a funding squeeze. Primary credit is for sound banks near the policy rate; secondary credit is for troubled banks at a higher rate.
FAQ

Deposit Insurance & Other Liability Guarantees FAQ

Can AI help me with deposit insurance and moral hazard?

Yes — ask Sia to walk through any deposit insurance or moral hazard problem or concept step by step, the way University of Sydney tests it. Sia is an AI tutor that explains the method — why a guarantee stops runs, why a flat premium subsidises risk, and how the three disciplines map onto stockholders, depositors and regulators — so you can reproduce the argument yourself under exam conditions.

Why does deposit insurance stop bank runs?

Because demand deposits are paid first-come-first-served, place-in-line has value, so a nervous depositor is rational to withdraw first — and the queue can push even a solvent bank under. Deposit insurance guarantees your balance up to a cap, so your place in the queue no longer matters and you have no reason to join it. The key is that it works by changing the incentive, not by stockpiling enough cash to pay everyone at once.

What is moral hazard in deposit insurance, and how is it fixed?

Moral hazard is insured risk-taking: once deposits are guaranteed, depositors stop monitoring, and if the premium is the same regardless of risk (a flat premium), the bank can chase high-risk, high-return assets while the fund bears the downside. The fix is a risk-based premium that charges each bank its own actuarially-fair value, so the subsidy to risk disappears — the exam wants you to name both the run-stopping benefit and the moral-hazard cost.

What is the difference between Australia's FCS and WGS?

The Financial Claims Scheme (FCS) is a free, government-backed guarantee of retail deposits at an ADI (introduced at AUD 1m, later cut to AUD 250,000). The Wholesale Funding Guarantee (WGS) covered large deposits and wholesale debt and charged a risk-based fee. Different targets (retail vs wholesale) and different pricing (free vs fee) — a classic Australian-context trap is to blur the two.

What is capital forbearance and why is it costly?

Capital forbearance is a regulator letting an undercapitalised or insolvent bank keep operating instead of closing it. It looks cheaper today, but a 'zombie' bank with little of its own equity left has strong gamble-for-resurrection incentives: it takes desperate bets, losses compound, and the eventual bill to both the insurance fund and shareholders grows. Prompt corrective action — closing early as capital falls — caps the loss small instead.

Is there a deposit-insurance formula on the BANK3011 exam formula sheet?

No — deposit insurance is an almost entirely conceptual chapter, and the University of Sydney final exam does not print a formula for it. It usually appears as a short-answer question (define moral hazard and explain the flat-vs-risk-based premium fix, or explain how insurance stops runs and what forbearance costs). Any numbers you use are an actuarially-fair-pricing illustration, not a provided equation — always confirm the current exam format and formula sheet on Canvas.

Studying with AI? Sia — free AI financial modeling tutor works through BANK3011 step by step.

Study strategy

Exam move

Treat deposit insurance as an argument-building topic, not a calculation one — the exam hands you no formula for it, so the marks reward a balanced short answer that names both sides of the trade-off. Anchor everything on one sentence: deposit insurance stops runs but breeds moral hazard. Be able to explain the run mechanism as an incentive effect on the first-come-first-served deposit contract (not a cash-stockpiling claim), and know the wider safety net has three parts — insurance, the lender-of-last-resort discount window, and prudential supervision. Learn the flat-vs-risk-based premium point cold, and practise illustrating it with a two-bank expected-payout example so you can make the subsidy numeric on demand. Memorise which lever sits under each of the three disciplines (stockholder / depositor / regulator), keep capital forbearance vs prompt corrective action straight, and lock in the Australian context (FCS free, WGS risk-based fee, no explicit insurance before the GFC). When a distinction won't stick, ask Sia to explain that exact contrast step by step rather than looking up an answer.

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