Management of Financial Institutions 2081 Board Question Paper

Non-Depository Financial Institutions

A non-depository financial institution is a financial intermediary that does not fund its asset investments primarily through public checking and savings deposits. Instead, it raises capital by collecting contractual premiums, issuing shares and debentures, selling pension contracts, or borrowing in wholesale money markets.

Key Examples:

1. Insurance Companies (Life and Non-Life): Pool periodic premiums to provide financial protection against risk events and invest surplus funds in long-term capital assets.
2. Pension and Retirement Funds: (e.g., Employees Provident Fund - EPF, Citizen Investment Trust - CIT) Mobilize long-term employee and employer retirement savings.
3. Mutual Funds: Pool retail and institutional funds to invest in diversified portfolios of equities and bonds.
4. Merchant and Investment Banks: Specialize in underwriting initial public offerings (IPOs), issue management, and financial advisory.

Required Reserves vs. Excess Reserves

1. Required Reserves (RR):

   • The minimum volume of cash reserves that a depository institution is legally mandated by the central bank (Nepal Rastra Bank) to maintain—typically as deposits in its central bank account—calculated as a statutory percentage (Cash Reserve Ratio, CRR) of total deposit liabilities.
   • It cannot be lent out and generates zero or negligible interest.

2. Excess Reserves (ER):

   • The amount of liquid reserves held by a financial institution over and above its legally required reserves:
     $$\text{Excess Reserves} = \text{Total Reserves Held} - \text{Required Reserves}$$
   • Excess reserves represent surplus lendable funds that the institution can deploy into new loans, interbank placements, or money market instruments to earn interest.

Yield on 3-Year Securities Calculation

Given Data:

• Real risk-free rate ($r^*$) = 3% = 0.03
• Average inflation premium ($IP$) = 7% = 0.07
• Maturity risk premium on 3-year security ($MRP_3$) = 2% = 0.02
• Default risk premium ($DRP$) = 0%
• Liquidity risk premium ($LP$) = 0%

Formula:

$$Y_3 = r^* + IP + MRP_3$$

$$Y_3 = 3\% + 7\% + 2\% = \mathbf{12.00\%}$$

Answer: The nominal yield on the 3-year security is 12.00%.

Risk-Weighted Assets (RWA) Calculation

Given Data:

• Loans and Advances = Rs. 1,100 million (Risk weight = 100% = 1.00)
• Government Securities = Rs. 200 million (Risk weight = 0% = 0.00)
• Cash-in-Transit = Rs. 50 million (Risk weight = 20% = 0.20)

Calculation:

$$\text{RWA} = \sum (\text{Asset Book Value} \times \text{Assigned Risk Weight})$$

$$\begin{aligned} \text{RWA}_{loans} &= 1,100 \times 1.00 = \text{Rs. } 1,100 \text{ million} \\ \text{RWA}_{govt} &= 200 \times 0.00 = \text{Rs. } 0 \text{ million} \\ \text{RWA}_{transit} &= 50 \times 0.20 = \text{Rs. } 10 \text{ million} \\[6pt] \mathbf{\text{Total RWA}} &= 1,100 + 0 + 10 = \mathbf{\text{Rs. } 1,110 \text{ million}} \end{aligned}$$

Answer: The total risk-weighted assets of the commercial bank is Rs. 1,110 million.

Social Intermediation Services of Microfinance

Social intermediation in microfinance refers to non-financial, capacity-building services provided to vulnerable, illiterate, and low-income rural populations to prepare them for sustainable engagement with formal financial services.

Key Components:

1. Group Formation and Dynamics: Organizing women into solidarity self-help groups and teaching collective decision-making and joint accountability.
2. Financial Literacy and Numeracy Training: Educating clients on cash flow management, saving habits, loan repayment discipline, and debt avoidance.
3. Vocational and Skill Development: Providing agricultural guidance, livestock vaccination knowledge, and small-business accounting.
4. Leadership and Self-Confidence Building: Empowering rural women to assume leadership roles in village meetings and community councils.

Democratic Member Control in Cooperatives

Democratic Member Control is the second fundamental principle established by the International Cooperative Alliance (ICA):

• One Member, One Vote: Every registered member possesses exactly one vote in the general assembly and board elections, regardless of the number of cooperative share units they own or the volume of savings deposited.
• Equal Governance: Prevents wealthy investors or founding promoters from hijacking institutional control, ensuring that the organization operates strictly for the mutual welfare of all members.
• Elected Accountability: Board members and supervisory committee officers are elected directly by the membership and are held democratically accountable.

Property and Casualty (P&C) Insurance

Property and Casualty (P&C) Insurance—often termed non-life or general insurance—encompasses two distinct protective functions:

1. Property Insurance: Indemnifies the policyholder against direct physical damage or destruction of real and personal property (such as homes, commercial buildings, factory plants, machinery, and inventory) caused by insured perils such as fire, lightning, explosion, earthquake, windstorm, and flooding.
2. Casualty (Liability) Insurance: Protects the policyholder against legal liability for bodily injury, medical expenses, disability, death, or property damage inflicted upon third parties arising from negligence, motor accidents, or defective products.

Mutual Fund Holding Period Return Calculation

Given Data:

• Beginning NAV ($\text{NAV}_0$) = Rs. 300
• Ending NAV ($\text{NAV}_1$) = Rs. 350
• Year-end distributions ($D$) = Rs. 10 (income dividends and realized capital gains)

Formula:

$$\text{Total Return} = \frac{\text{NAV}_1 - \text{NAV}_0 + D}{\text{NAV}_0} \times 100$$

$$\begin{aligned} \text{Total Return} &= \frac{350 - 300 + 10}{300} \times 100 \\[4pt] &= \frac{50 + 10}{300} \times 100 = \frac{60}{300} \times 100 = \mathbf{20.00\%} \end{aligned}$$

Answer: The return on investment in the Equity Fund during the year was 20.00%.

Differences Between Private and Public Pension Funds

Differences Between Stock Broker and Stock Dealer

Securities Firms, Investment Banks, and the Securities Issuing Process

1. Concepts and Nepalese Context

1. Securities Firms:
   • Financial intermediaries that assist institutional and individual clients in trading secondary market securities, providing trade execution, advisory, and custodial services (e.g., licensed NEPSE stockbrokers).
2. Investment Banks (Merchant Bankers):
   • Specialized institutions that advise corporations on capital structure, originate and underwrite primary equity and debt issues (IPOs, rights shares, debentures), manage collective mutual funds, and execute corporate mergers and acquisitions (M&A).
   • Nepalese Examples: Nabil Investment Banking Ltd., Global IME Capital Ltd., NIBL Ace Capital Ltd., and NIC Asia Capital Ltd., licensed by SEBON.

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2. Functions of Investment Banks in the Securities Issuing Process

                      Securities Issuing Process
  Origination & Advisory ──► Underwriting ──► Regulatory Approval (SEBON) ──► Distribution & Allotment

1. Origination and Capital Structuring:
   • Analyzes the issuer’s financing requirements, evaluates capital market conditions, and designs the instrument structure (e.g., common shares, preference shares, debentures with coupons).
2. Underwriting Commitment:
   • Firm Commitment: The investment bank guarantees the entire issue by purchasing all securities from the issuer and reselling them to the public, absorbing all unsold risk.
   • Best Efforts Underwriting: The bank acts as a distributor without guaranteeing that all shares will be sold, returning unsold shares to the issuer.
3. Prospectus Drafting and Due Diligence:
   • Conducts rigorous accounting, legal, and financial scrutiny of the issuing firm and drafts the offer document (prospectus).
4. Securing Regulatory Approval:
   • Submits documentation to the Securities Board of Nepal (SEBON) and coordinates listing eligibility with the Nepal Stock Exchange (NEPSE).
5. Marketing, Syndication, and Distribution:
   • Conducts investor roadshows, manages institutional bidding under book-building mechanisms, and coordinates application processing through C-ASBA and MeroShare.
6. Allotment, Dematerialization, and Secondary Listing:
   • Finalizes allotment in compliance with SEBON regulations, deposits electronic shares into Demat accounts via CDSC, and ensures trading commencement on NEPSE.

Impact of Reserve Requirement Reduction on National Bank Ltd.

Given Data:

• Transaction Deposits ($D$) = Rs. 25,000 million
• Initial Reserve Requirement ($r_{d0}$) = 4% = 0.04
• New Reserve Requirement ($r_{d1}$) = 3% = 0.03
• All reserves held at Nepal Rastra Bank; vault cash = 0.

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a. Reserves Held Before Decrease in Reserve Ratio

$$\text{RR}_0 = D \times r_{d0} = 25,000 \times 0.04 = \mathbf{\text{Rs. } 1,000 \text{ million}}$$

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b. Reserves Held After Decrease to 3 Percent

$$\text{RR}_1 = D \times r_{d1} = 25,000 \times 0.03 = \mathbf{\text{Rs. } 750 \text{ million}}$$

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c. Excess Reserves Generated by the Policy Change

$$\text{Excess Reserves (ER)} = \text{Total Reserves Held} - \text{New Required Reserves}$$

$$\text{ER} = 1,000 - 750 = \mathbf{\text{Rs. } 250 \text{ million}}$$

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d. Resulting Change in Deposits Across the Banking System

The reduction in reserve requirements frees up Rs. 250 million in excess reserves. In a fractional reserve system, the new deposit multiplier is:

$$m_1 = \frac{1}{r_{d1}} = \frac{1}{0.03} = 33.3333$$

1. Potential Expansion in System Deposits ($\Delta D$):

   $$\Delta D = \text{ER} \times m_1 = 250 \times \frac{1}{0.03} = \mathbf{\text{Rs. } 8,333.33 \text{ million}}$$

2. Total Potential Deposits Supported:

   $$D_{\text{new}} = 25,000 + 8,333.33 = \mathbf{\text{Rs. } 33,333.33 \text{ million}}$$
   (Alternatively, if examining National Bank Ltd. alone without multiplier redepositing, it can expand its loan book directly by the excess reserve amount of Rs. 250 million).

Summary:

• Prior required reserves = Rs. 1,000 million
• New required reserves = Rs. 750 million
• Excess reserves generated = Rs. 250 million
• Potential deposit expansion across the banking system = Rs. 8,333.33 million.

Evaluating SACCOs Under the PEARLS Financial Performance Framework

The PEARLS framework is an internationally acclaimed financial performance monitoring system developed by the World Council of Credit Unions (WOCCU) specifically for Saving and Credit Cooperatives (SACCOs).

                            PEARLS Framework
   ┌───────────┬───────────┬───────────┬───────────┬───────────┬───────────┐
   P           E           A           R           L           S
Protection  Effective    Asset      Rates of    Liquidity    Signs of
            Structure   Quality    Return/Cost                Growth

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1. P — Protection

• Measures the adequacy of loan loss allowances against delinquent member loans.
• Key Metric: Loan Loss Provision to Delinquent Loans ($> 12 \text{ months}$). Ideal benchmark = 100% coverage of non-performing loans, safeguarding member share capital against credit insolvency.

2. E — Effective Financial Structure

• Evaluates the balance sheet composition and the productive allocation of mobilized assets.
• Key Metrics:
  • Net Loan Portfolio to Total Assets: Benchmark = 70% – 80% (ensuring funds finance member needs rather than idle accounts).
  • Savings Deposits to Total Assets: Benchmark = 70% – 80% (relying on member savings rather than costly commercial bank borrowings).
  • Institutional Capital to Total Assets: Benchmark $\ge \mathbf{10\%}$.

3. A — Asset Quality

• Tracks default contamination and unproductive assets.
• Key Metrics:
  • Total Loan Delinquency Ratio: Delinquent loans ($> 30 \text{ days}$) must remain $\le \mathbf{5\%}$.
  • Non-Earning Assets to Total Assets: Benchmark $\le \mathbf{5\%}$.

4. R — Rates of Return and Costs

• Assesses operational efficiency, loan yield, and fair return paid to member depositors.
• Key Metrics:
  • Net Loan Yield: Should exceed the cost of funds plus administrative operating expenses.
  • Operating Expense Ratio: Administrative overhead to total assets $\le \mathbf{5\%}$.

5. L — Liquidity

• Evaluates the cooperative’s capacity to satisfy member deposit withdrawal demands on demand.
• Key Metric: Liquid Reserves to Total Savings Deposits: Benchmark = 15% – 20%, held in cash or immediate bank deposits.

6. S — Signs of Growth

• Monitors real annual expansion in membership, total savings deposits, institutional capital, and total assets adjusted for national inflation.

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Relevance in Nepal

The Department of Cooperatives and the Nepal Federation of Savings and Credit Cooperative Unions (NEFSCUN) enforce PEARLS standards under the ‘PROBATION’ and ‘CURB’ certification systems to restore financial soundness in Nepal’s cooperative sector.

Annuity Cash Flows and Mutual Fund NAV Analysis

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(a) Annuity Cash Flows from Fixed-Payment 7-Year Policy

Given:

• Present Value today ($PV_0$) = Rs. 850,000
• Guaranteed Annual Rate ($r$) = 9% = 0.09
• Accumulation period = 3 years (payments begin at end of Year 4, meaning the fund compounds for 3 full years: $t = 1, 2, 3$)
• Annuity duration ($n$) = 7 years

Step 1: Accumulated Value at the Beginning of the Annuity Stream ($t = 3$)

$$FV_3 = PV_0 \times (1 + r)^3 = 850,000 \times (1.09)^3$$

$$FV_3 = 850,000 \times 1.295029 = \text{Rs. } 1,100,774.65$$

Step 2: Calculate Annual Cash Flow ($PMT$) Treating the 7 payments at $t = 4, 5, \dots, 10$ as an ordinary annuity funded by $FV_3$:

$$PMT = \frac{FV_3}{\text{PVIFA}_{9\%, 7}}$$

$$\text{PVIFA}_{9\%, 7} = \frac{1 - (1.09)^{-7}}{0.09} = \frac{1 - 0.547034}{0.09} = 5.032953$$

$$PMT = \frac{1,100,774.65}{5.032953} = \mathbf{\text{Rs. } 218,713.48}$$

(Note: If payments start at end of year 4 and compounding occurs over 4 full years to $t=4$, $FV_4 = 850,000 \times (1.09)^4 = 1,199,844.37$; on an annuity due basis at $t=4$, $PMT = \frac{1,199,844.37}{5.032953 \times 1.09} = \text{Rs. } 218,713.48$).

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(b) Mutual Fund NAV at Beginning and End of Day

Given Data:

• Initial Portfolio Assets = Rs. 12.5 million = Rs. 12,500,000
• Initial Portfolio Liabilities = Rs. 2.5 million = Rs. 2,500,000
• Initial Shares Outstanding = 1 million = 1,000,000 shares
• Intra-day Deposits = Rs. 350,000
• Intra-day Withdrawals = Rs. 200,000
• Asset market prices remain constant.

1. Beginning of Day NAV:

$$\text{Net Assets}_0 = 12,500,000 - 2,500,000 = \text{Rs. } 10,000,000$$

$$\mathbf{\text{NAV}_0} = \frac{10,000,000}{1,000,000} = \mathbf{\text{Rs. } 10.00 \text{ per share}}$$

2. Share Transactions During the Day (at NAV = Rs. 10.00):

• New shares issued = $\frac{350,000}{10.00} = +35,000 \text{ shares}$
• Shares redeemed = $\frac{200,000}{10.00} = -20,000 \text{ shares}$
• Ending shares outstanding ($N_{\text{end}}$) = $1,000,000 + 35,000 - 20,000 = \mathbf{1,015,000 \text{ shares}}$

3. End of Day Net Assets:

$$\text{Net Assets}_{\text{end}} = 10,000,000 + 350,000 - 200,000 = \text{Rs. } 10,150,000$$

4. End of Day NAV:

$$\mathbf{\text{NAV}_{\text{end}}} = \frac{10,150,000}{1,015,000} = \mathbf{\text{Rs. } 10.00 \text{ per share}}$$

Answer:

• Annual annuity cash flow = Rs. 218,713.48
• Beginning NAV = Rs. 10.00 per share; End-of-day NAV = Rs. 10.00 per share.

Calculating Retirement Benefits: Defined Benefit vs. Defined Contribution Plans

1. Defined Benefit (DB) Plan

In a Defined Benefit (DB) Plan, the employer promises a predetermined monthly pension payout throughout retirement. The benefit formula is explicitly established in the plan covenant:

Standard Payout Formula:

$$\text{Annual Retirement Benefit} = \text{Accrual Rate} \times \text{Years of Credited Service} \times \text{Final Average Salary}$$

Where:

• Accrual Rate: A fixed contractual percentage, typically ranging from 1.5% to 2.0% per year of employment.
• Years of Credited Service: The total verified number of years worked for the sponsor.
• Final Average Salary (FAS): The average base salary earned during the employee’s final 3 or 5 years of active employment.

Illustrative Calculation: An employee retires after 30 years of service, with an accrual factor of 2.0% and a final average 3-year salary of Rs. 600,000:

$$\text{Annual Pension} = 0.02 \times 30 \times 600,000 = \mathbf{\text{Rs. } 360,000 \text{ per year}} \quad (\text{Rs. 30,000 / month})$$

(Risk: The employer bears all longevity and investment risks. If the pension trust suffers portfolio losses, the employer must inject additional corporate funds).

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2. Defined Contribution (DC) Plan

In a Defined Contribution (DC) Plan, the employer and employee contribute a fixed periodic percentage of monthly salary into an individual retirement account. There is no promised final benefit amount; the retirement corpus is computed as the accumulated future value of all invested contributions:

Accumulation Formula:

$$\text{Terminal Retirement Corpus } (FV) = \sum_{t=1}^{n} C_t \times (1 + r_t)^{n - t}$$

Where:

• $C_t$ = Total periodic contribution (e.g., 10% employee + 10% employer = 20% of monthly pay).
• $r_t$ = Realized compounding investment return on the selected asset mix (stocks, bonds, deposits).
• $n$ = Total accumulation periods (months/years).

Benefit Distribution at Retirement:

Upon retirement, the accumulated corpus is converted into:

1. Lump-Sum Payment: Full or partial cash withdrawal.
2. Life Annuity: Purchasing an immediate annuity from a life insurer:
   $$\text{Monthly Annuity} = \frac{\text{Accumulated Corpus}}{\text{PVIFA}_{r, \text{Life Expectancy}}}$$

(Risk: The employee bears all investment risk and market volatility).

Risk Management in Financial Institutions & Minimizing Credit and Liquidity Risks

1. Importance of Risk Management for Financial Institutions

Financial institutions operate primarily on borrowed funds (deposits, wholesale debt), maintaining high financial leverage (typically 10:1 to 15:1). Without rigorous risk management:

1. Preventing Systemic Contagion: The failure of one large bank can trigger panic runs across the entire payments infrastructure.
2. Protecting Depositor Solvency: Ensures assets retain sufficient value to honor customer deposit withdrawal claims at par.
3. Preserving Regulatory Capital: Prevents unexpected credit losses from eroding core equity capital below Basel / NRB prudential thresholds.
4. Maximizing Risk-Adjusted Return on Capital (RAROC): Channels scarce lending resources toward highest-value productive investments.

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2. Minimizing Credit Risk

Credit Risk is the risk of economic loss stemming from a counterparty’s failure to meet scheduled debt service repayments.

                          Credit Risk Mitigation
  Screening (5 Cs of Credit) ──► Collateral Security ──► Single Obligor Limits ──► Loan Loss Provisioning

1. Rigorous Credit Screening (The 5 Cs of Credit):
   • Evaluating borrower Character (integrity, CIB credit history), Capacity (operating cash flows and Debt Service Coverage Ratio, DSCR), Capital (equity contribution), Collateral (distressed sale value of registered property), and Conditions (macroeconomic and industry outlook).
2. Portfolio Diversification and Exposure Limits:
   • Strictly enforcing NRB single-obligor exposure limits (e.g., maximum 25% of core capital to a single business group) and sectoral caps to avoid overconcentration in sectors like real estate or trading.
3. Adequate Loan Covenants and Collateral Margins:
   • Demanding at least 150% real estate collateral coverage and legally binding restrictive covenants (negative pledge, dividend caps).
4. Continuous Loan Monitoring and Early Warning Systems (EWS):
   • Tracking borrower account turnover, bounced checks, tax filings, and classifying non-performing loans (NPLs) into Pass, Watchlist, Substandard, Doubtful, and Loss categories with adequate provisioning.

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3. Minimizing Liquidity Risk

Liquidity Risk arises when a bank cannot meet immediate cash obligations (deposit withdrawals, loan drawdowns) without incurring catastrophic asset fire-sale losses.

1. Maintaining Statutory Regulatory Buffers:
   • Complying strictly with NRB’s mandatory Cash Reserve Ratio (CRR = 4%) and Statutory Liquidity Ratio (SLR = 10%–12%) in unencumbered government Treasury bills.
2. Monitoring Credit-to-Deposit (CD) Ratio:
   • Adhering to NRB’s statutory ceiling of 90% CD ratio to prevent overextending loans relative to stable deposit mobilization.
3. Asset-Liability Maturity Gap Management:
   • Constructing periodic maturity ladders (bucket analysis: 1-30 days, 1-3 months, etc.) to identify and hedge negative cumulative cash flow mismatches.
4. Diversifying the Deposit Liability Base:
   • Replacing volatile, rate-sensitive institutional wholesale deposits with stable, granular retail saving deposits.
5. Contingency Funding Planning (CFP):
   • Securing pre-arranged interbank repo lines, standing liquidity facilities (SLF), and central bank discount window access for crisis scenarios.

Role and Functions of Nepal Insurance Authority (Nepal Beema Pradhikaran)

1. Introduction

The Nepal Insurance Authority (Nepal Beema Pradhikaran)—established under the Insurance Act, 2079 (2022) as the autonomous successor to Beema Samiti—serves as the apex regulatory and supervisory body governing insurance business in Nepal.

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2. Primary Regulatory Roles and Statutory Functions

                 Nepal Insurance Authority Key Functions
  Prudential Regulation ──► Market Conduct & Consumer Protection ──► Solvency & Risk-Based Capital (RBC)

1. Licensing and Market Entry Control:
   • Formulates licensing criteria and grants operating licenses to life insurers, non-life insurers, reinsurance companies, insurance brokers, surveyors, and loss assessors.
2. Capital Enhancement and Solvency Regulation:
   • Mandates statutory minimum paid-up capital requirements (Rs. 5 billion for life insurers, Rs. 2.5 billion for non-life insurers, and Rs. 20 billion for reinsurers) to enforce corporate consolidation via mergers.
   • Enforces Risk-Based Capital (RBC) and solvency margin standards aligned with international Insurance Core Principles (ICPs).
3. Policy Product Approval and Premium Tariff Setting:
   • Approves all new life and general insurance policy terms, condition wordings, and actuarial premium structures to prevent predatory pricing or deceptive policies.
4. Consumer Protection and Dispute Adjudication:
   • Operates a quasi-judicial Insurance Dispute Resolution Tribunal hearing unresolved policyholder claims against insurance companies, issuing binding settlement orders.
5. Promoting Micro-Insurance and Financial Inclusion:
   • Mandates that every commercial insurer allocate a minimum percentage of underwritten business to micro-insurance, expanding agricultural, livestock, and micro-health coverage across remote rural municipalities.
6. Market Supervision and Inspections:
   • Conducts mandatory annual on-site inspections and off-site financial surveillance, penalizing insurers for delayed claims settlement, governance lapses, or accounting irregularities.
7. Investment Guidelines Formulation:
   • Regulates how insurers invest accumulated actuarial reserves across government securities, ‘A’ class bank deposits, infrastructure debentures, and real estate to safeguard solvency.

Comprehensive Capital Adequacy Analysis for ABC Bank Ltd.

Given Data (Rs. in millions):

• Paid-Up Capital = Rs. 2,400
• General Reserve = Rs. 40
• Retained Earnings = Rs. 120
• Capital Adjustment Funds = Rs. 220
• Fictitious Assets (Deferred Expenses) = Rs. 120 + Rs. 24 = Rs. 144
• Goodwill = Rs. 70
• Cumulative Preference Shares = Rs. 550
• Subordinated Term Loans = Rs. 600
• General Loan Loss Provision = Rs. 240
• Exchange Equalization Reserves = Rs. 120
• Hybrid Capital Instruments = Rs. 260
• Asset Revaluation Reserve = Rs. 220
• Investment Adjustment Reserve = Rs. 110

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a. Estimation of Core Capital, Supplementary Capital, and Total Capital Fund

1. Core Capital (Tier 1 Capital):

$$\begin{aligned} \text{Gross Tier 1} &= \text{Paid-Up Capital} + \text{General Reserve} + \text{Retained Earnings} + \text{Capital Adjustment Funds} \\[4pt] &= 2,400 + 40 + 120 + 220 = \text{Rs. } 2,780 \text{ million} \\[6pt] \text{Regulatory Deductions} &= \text{Goodwill} + \text{Fictitious Assets} \\[4pt] &= 70 + 144 = \text{Rs. } 214 \text{ million} \\[6pt] \mathbf{\text{Eligible Tier 1 (Core) Capital}} &= 2,780 - 214 = \mathbf{\text{Rs. } 2,566 \text{ million}} \end{aligned}$$

2. Supplementary Capital (Tier 2 Capital):

Includes cumulative preference shares, subordinated debt, general loan loss provision, exchange equalization, hybrid instruments, asset revaluation reserve, and investment adjustment reserve:

$$\begin{aligned} \text{Cumulative Preference Shares} &= 550 \\ \text{Subordinated Term Loans} &= 600 \\ \text{General Loan Loss Provision} &= 240 \\ \text{Exchange Equalization Reserves} &= 120 \\ \text{Hybrid Capital Instruments} &= 260 \\ \text{Asset Revaluation Reserve (eligible portion, 220)} &= 220 \\ \text{Investment Adjustment Reserve} &= 110 \\[6pt] \text{Total Tier 2 Elements} &= 550 + 600 + 240 + 120 + 260 + 220 + 110 = \text{Rs. } 2,100 \text{ million} \end{aligned}$$

(Under NRB norms, Tier 2 is eligible up to 100% of Tier 1 = Rs. 2,566 million. Since 2,100 < 2,566, the full Rs. 2,100 million is eligible).

3. Total Capital Fund:

$$\mathbf{\text{Total Capital Fund}} = \text{Tier 1} + \text{Tier 2} = 2,566 + 2,100 = \mathbf{\text{Rs. } 4,666 \text{ million}}$$

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b. Calculation of On-Balance Sheet, Off-Balance Sheet, and Total RWA

1. On-Balance Sheet Risk-Weighted Assets:

2. Off-Balance Sheet Risk-Weighted Assets:

3. Total Risk-Weighted Assets:

$$\mathbf{\text{Total RWA}} = 32,935.00 + 1,360.00 = \mathbf{\text{Rs. } 34,295.00 \text{ million}}$$

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c. Core Capital Ratio and Capital Adequacy Ratio (CAR)

1. Core Capital (Tier 1) Ratio:

   $$\text{Tier 1 Ratio} = \frac{\text{Tier 1 Capital}}{\text{Total RWA}} \times 100 = \frac{2,566}{34,295} \times 100 = \mathbf{7.48\%}$$

2. Capital Adequacy Ratio (CAR):

   $$\text{CAR} = \frac{\text{Total Capital Fund}}{\text{Total RWA}} \times 100 = \frac{4,666}{34,295} \times 100 = \mathbf{13.61\%}$$

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d. Minimum Required Capital Fund (at 11% of RWA)

$$\text{Minimum Required Capital} = 0.11 \times \text{Total RWA} = 0.11 \times 34,295 = \mathbf{\text{Rs. } 3,772.45 \text{ million}}$$

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e. Capital Adequacy Evaluation

Assessment:

1. Total Capital Adequacy: ABC Bank holds a Total Capital Fund of Rs. 4,666 million (13.61%), which exceeds the regulatory requirement of Rs. 3,772.45 million (11.00%) by a healthy surplus of Rs. 893.55 million (+2.61 percentage points).
2. Core Capital Ratio: The Core Capital Ratio stands at 7.48%, surpassing the statutory minimum Tier 1 requirement of 6.00%.

Conclusion: Yes, ABC Bank Ltd. possesses adequate capital to support its risk-weighted assets under Nepal Rastra Bank prudential capital guidelines.