ECON 113 August 28 (Midterm Q's 11a and 11b)

Balance Sheet and Liquidity Management

  • Banks organize the balance sheet with assets and liabilities:

    • Assets typically include Loans, Securities, and Reserves.

    • Liabilities include Deposits and Equity (and other liabilities, if any).

  • The transcript provides a concrete snapshot (an example):

    • Assets: Loans = 85, Securities = 10, Reserve = 5 → Total Assets = 100

    • Liabilities: Deposits = 87, Equity = 13 → Total Liabilities + Equity = 100

    • This illustrates the balance sheet identity A = D + E in a simplified view.

  • Reserve requirements and liquidity buffers:

    • RR (reserve ratio) is shown as 5% in the material (RR = 0.05).

    • Reserve need can be computed as R=RR×DR = RR \times D, though the numeric example shows Reserve = 5 and Deposit = 87 (not exactly 5% of 87 in that snapshot).

    • Banks typically hold reserves to guard against shocks; the text notes they reserve more than the minimum in case of a shock.

  • Liquidity management actions (how banks adjust when liquidity is tight):

    • Sell Securities to raise cash.

    • Borrow from other banks or from the central bank (BSP in the Philippines context).

    • Sell Loans as another tool to raise liquidity (implies re-pricing or de-leveraging).

    • The balance-sheet adjustments can be seen in alternate snapshots where

    • Example: before and after actions shift the composition of Assets (Loans, Securities, Reserves) and Liabilities (Deposits, Equity).

  • Ending Multiples (EM) and leverage concept (per transcript):

    • EM is described as a measure related to the financing of assets by equity, and as an inverse of leverage in the notes. Conceptually, EM captures how many times the asset base is funded by equity.

    • Key idea: Proportion of assets financed by equity matters for risk and financial safety.

  • Definitions and core relationships:

    • Asset composition and funding order influence risk and return.

    • The transcript emphasizes the link between asset financing and risk through EM and leverage.

Ending Multiples (EM) and Leverage

  • Definition and interpretation:

    • Ending Multiples (EM) is defined as the ratio of Assets to Equity:

    • EM=AE\text{EM} = \frac{A}{E}

    • Datapoints in the transcript show assets around 100 and equity around 13 in one snapshot, yielding EM ≈ 7.69 (i.e., EM=10013≈7.69\text{EM} = \frac{100}{13} \approx 7.69).

  • Equity financing and its complement:

    • Proportion of assets financed by equity is the Equity Financing Proportion:

    • Equity Financing Proportion=EA\text{Equity Financing Proportion} = \frac{E}{A}

    • EM is the reciprocal of this proportion: EM=AE=1EA\text{EM} = \frac{A}{E} = \frac{1}{\frac{E}{A}}

  • Leverage and EM (inverse relationship note):

    • The transcript describes EM as the inverse of leverage; in standard finance, EM and leverage are related concepts (higher EM implies greater use of debt funding relative to equity).

    • A practical takeaway: higher EM means more assets financed with a given amount of equity, i.e., higher leverage risk and higher potential return on equity (ROE) when times are good.

  • Worked example from snapshot:

    • If Asset A = 100 and Equity E = 25 → EM = 10025=4\frac{100}{25} = 4

    • If the same ROA remains, ROE = ROA × EM indicates a higher ROE when EM is larger.

  • Practical implications:

    • EM reflects the degree to which banks rely on debt vs. equity to finance assets.

    • The larger the EM, the more sensitive ROE is to changes in ROA (and risk to financial stability in stress).

ROA and ROE: Relationships and Implications

  • Definitions:

    • Return on Assets (ROA):

    • ROA=Net IncomeA\text{ROA} = \frac{\text{Net Income}}{A}

    • Return on Equity (ROE):

    • ROE=Net IncomeE\text{ROE} = \frac{\text{Net Income}}{E}

  • Core relationship:

    • ROE can be expressed as the product of ROA and EM:

    • ROE=ROA×EM\text{ROE} = \text{ROA} \times \text{EM} where EM=AE\text{EM} = \frac{A}{E}

  • Intuition and trade-offs:

    • Higher leverage (higher EM) boosts ROE if ROA stays positive, but increases risk (risk of insolvency under stress).

    • Lower leverage (lower EM, i.e., higher equity ratio) reduces ROE for a given ROA, but increases resilience to shocks and reduces vulnerability to runs.

  • Practical example (hypothetical):

    • Suppose ROA = 0.05 (5%) and EM = 4 → ROE = 0.20 (20%).

    • If a bank raises equity so EM drops to 2, ROE becomes 0.10 (10%), illustrating the ROE–leverage incentive trade-off.

  • Notes on ownership and incentives:

    • The transcript discusses the cost of increasing capital (raising equity) and the resulting effect on ROE, which can lead to lobbying by owners/banks to avoid capital raises.

    • The idea

    • With higher equity (lower EM), owners may be worse off if ROE declines, which can dampen capital-raising efforts.

Capital Structure, Cost of Capital, and Incentives

  • Capital raising and ownership effects:

    • Increasing equity dilutes ownership per unit of net income unless ROA rises or ROE stays attractive.

    • The relationship can create a reluctance to raise capital when EM is high and ROE is the key driver of executive incentives.

  • Quotes or implications from the transcript:

    • “Cost of increasing Capital, hence resulting in lobbying.”

    • “Owners will be worse off if 100% hence why they won't [raise capital].”

  • Worked scenario to illustrate the effect of equity issuance on ROE:

    • Let Asset A = 100, Net Income tied to ROA = 5% of assets → Net Income = 5.

    • If Equity E = 25 → EM = 4 → ROE = Net Income / E = 5 / 25 = 0.20 = 20%.

    • If Equity E increases to 50 → EM = 2 → ROE = 5 / 50 = 0.10 = 10%.

  • Key takeaway:

    • There is a meaningful trade-off between financial safety (more equity) and ROE-driven incentives for managers and owners.

  • Ethical/practical implications:

    • Higher equity buffers improve resilience and reduce systemic risk, but may reduce short-run profitability metrics used by markets and insiders.

Stress Testing and Financial Crises

  • What triggers crises (as described in the transcript):

    • Financial crises can occur when banks pull money, especially when depositors demand withdrawals and debt obligations must be paid.

    • The example mentions “PIGS” in the context of stress/crisis discussions (note: refers to a group of economies in crisis periods; kept here as a contextual reference).

  • The role of stress tests:

    • Banks must stress test their balance sheets to assess resilience under adverse scenarios.

    • The transcript notes there is no single “fault line” or guaranteed safe threshold; stress testing is about multiple scenarios to ensure safety.

  • Central bank and policy response:

    • During crises, central banks (e.g., BSP in the Philippines) can act as lenders of last resort to provide liquidity and prevent runs.

    • The need for safety nets and credible supervisions to maintain public confidence.

  • Real-world relevance and implications:

    • Capital and liquidity buffers are central to preventing bank runs and systemic crises.

    • Balance-sheet dynamics, funding markets (deposits, interbank borrowing), and the pricing of risk all affect resilience.

Practical Takeaways and Real-World Links

  • Core lessons:

    • Liquidity management relies on reserves, securities, and credit facilities; banks adjust via asset sales and interbank/central bank borrowing.

    • EM (Asset/Equity) measures the degree of leverage; ROE = ROA × EM ties profitability to both asset efficiency and financing structure.

    • The equity financing share (E/A) and EM are reciprocal; higher equity lowers EM and reduces ROE for a given ROA, creating incentives for managers to favor higher leverage for profitability, but at higher risk.

    • Stress tests are essential to assess resilience and guide capital planning; there is no single threshold that guarantees safety — multiple scenarios are needed.

    • The central bank plays a crucial stabilizing role during crises by providing liquidity and lender-of-last-resort support.

  • Formulas to memorize:

    • EM: EM=AE\text{EM} = \frac{A}{E}

    • Equity Financing Proportion: EA\frac{E}{A}

    • ROA: ROA=Net IncomeA\text{ROA} = \frac{\text{Net Income}}{A}

    • ROE: ROE=Net IncomeE\text{ROE} = \frac{\text{Net Income}}{E}

    • Relationship: ROE=ROA×EM\text{ROE} = \text{ROA} \times \text{EM}

  • Meta-level implications:

    • Safety vs. profitability trade-off is central to bank capital decisions.

    • Public policy and regulation (capital requirements, liquidity requirements) aim to shift incentives toward safer, more resilient banking practices.

  • Real-world connections:

    • The BSP reference indicates real-world central-bank roles in liquidity provision.

    • The balance-sheet mechanics discussed align with standard banking textbooks on liquidity risk, leverage, and capital structure.

Quick worked recap (compact)

  • Example balance sheet snapshot:

    • Assets: Loans 85, Securities 10, Reserve 5 → A = 100

    • Liabilities: Deposits 87, Equity 13 → D + E = 100

  • EM when A = 100 and E = 13: EM=10013≈7.69\text{EM} = \frac{100}{13} \approx 7.69

  • If ROA = 0.05 and EM = 7.69, then ROE = 0.05×7.69≈0.38450.05 \times 7.69 \approx 0.3845 or 38.45% (illustrative).

  • If Equity doubles to 26 (A constant at 100): EM → 100/26 ≈ 3.85; ROE would drop proportionally (e.g., from 38% to ~19% if ROA unchanged).

  • Reserve and liquidity rule of thumb: Reserve R ≈ RR × D with RR ≈ 0.05 to illustrate the form of reserve requirements.