Given:

• Loss ratio = 75.5%
• Expense ratio = 29.2%
• Dividend ratio = 1.5%
• Net investment income ÷ Premiums earned = 9.5%

a. Combined ratio (after dividends)

[ \text{Combined ratio after dividends} = \text{Loss ratio} + \text{Expense ratio} + \text{Dividend ratio} ]

[ = 75.5% + 29.2% + 1.5% ]

[ = 106.2% ]

b. Operating ratio

[ \text{Operating ratio} = \text{Combined ratio after dividends} - \text{Net investment income ratio} ]

[ = 106.2% - 9.5% ]

[ = 96.7% ]

c. Interpretation of profitability

• The combined ratio after dividends is 106.2%, which is greater than 100%. This means the company has an underwriting loss of 6.2% of premiums earned after paying losses, expenses, and policyholder dividends.
• However, the company earns 9.5% from net investment income relative to premiums earned.
• After including investment income, the operating ratio is 96.7%, which is below 100%. This indicates that the company is profitable overall, with an operating profit margin of about 3.3% of premiums earned.

Conclusion: Coverall’s insurance underwriting alone is not profitable, but its investment income is strong enough to make the company profitable overall.

(a) Capital components (Rs in thousands)

Tier 1 (core) capital = Common stock + Perpetual preferred stock + Surplus + Undivided profit + Capital reserves

$= 30{,}000 + 5{,}000 + 2{,}000 + 100{,}000 + 1{,}000 = \text{Rs } 138{,}000$

Tier 2 (supplementary) capital = Reserves for loan and lease losses + Subordinated notes and debentures

$= 5{,}000 + 2{,}000 = \text{Rs } 7{,}000$

(Both are well within the usual limits: loan-loss reserves up to 1.25% of risk-weighted assets, and subordinated debt up to 50% of Tier 1.)

Total capital = Tier 1 + Tier 2 = 138,000 + 7,000 = Rs 145,000

(b) Risk-weighted assets = Rs 2,840,000

The bank does not have adequate capital under the regulatory standard.

(c) Risk-weighted assets = Rs 2,000,000

The bank meets the Tier 1 requirement but its total capital ratio (7.25%) is below 10%, so overall capital is still not adequate.

Functions of Investment Bankers in the Nepalese Capital Market

An investment banker is a financial intermediary that stands between the issuing company (securities issuer) and the investors. In the Nepalese capital market, licensed merchant bankers (such as Nabil Investment Banking, NMB Capital, Sanima Capital, Prabhu Capital, Citizen Investment Trust, etc., regulated by SEBON) perform the following functions:

1. Underwriting of Securities The investment banker agrees to buy any unsubscribed portion of a public issue of shares, debentures or bonds. This guarantees the issuing company the full amount of capital it wants to raise. In Nepal, underwriters are licensed by SEBON and must maintain a minimum net worth as prescribed.

2. Issue Management The investment banker plans and manages the whole process of issuing securities — drafting the prospectus, obtaining SEBON approval, fixing the issue price and size, appointing collection centres, and coordinating with CDSC and the issue manager's own network. In Nepal, an issue manager is mandatory for every public issue.

3. Marketing and Distribution of Securities Through its branch network, collection centres and investor contacts, the investment banker markets the issue to the public and ensures wide subscription. It also handles applications, allotment and refund of money to unsuccessful applicants.

4. Advisory (Corporate Advisory) Services It advises companies on capital structure, merger and acquisition, restructuring, valuation of shares, rights issue, bonus issue, and the best timing and method of raising funds. In Nepal, merchant bankers act as advisors for mergers of banks and financial institutions.

5. Portfolio Management Investment bankers manage the investment portfolio of individuals and institutions by investing in shares, debentures and government securities according to the client's risk and return objectives. SEBON-licensed portfolio managers perform this function.

6. Depository Participant (DP) Services Many investment bankers act as Depository Participants of CDSC, opening and maintaining Demat accounts, and handling the electronic transfer of securities for investors.

7. Trading and Brokerage Some investment bankers also hold broker licences and act as intermediaries in the secondary market, buying and selling securities on behalf of clients at NEPSE.

8. Registrar to the Issue They maintain records of shareholders, handle share transfer, dividend distribution and provide registrar services to companies.

9. Market Making and Research They provide research reports on companies and sectors, help in price discovery, and in some cases act as market makers to improve liquidity.

Conclusion In the Nepalese capital market, investment bankers are indispensable — they bridge the savings of investors and the capital needs of companies, ensure compliance with SEBON rules, reduce the risk of issue failure through underwriting, and help develop and deepen the market. Their role has grown significantly after the expansion of NEPSE and CDSC.

Earning assets = Investment securities + Net loans and leases

• Alpha: 5,377.62 + 10,510.46 = 15,888.08
• Zebra: 442,877.57 + 922,619.00 = 1,365,496.57

(a) Net interest margin

$NIM = \frac{\text{Interest income} - \text{Interest expense}}{\text{Earning assets}}$

• Alpha: $\dfrac{710.26 - 166.62}{15{,}888.08} = \dfrac{543.64}{15{,}888.08} = \mathbf{3.42\%}$
• Zebra: $\dfrac{68{,}551.40 - 10{,}320.62}{1{,}365{,}496.57} = \dfrac{58{,}230.78}{1{,}365{,}496.57} = \mathbf{4.26\%}$

(b) Spread

$\text{Spread} = \frac{\text{Interest income}}{\text{Earning assets}} - \frac{\text{Interest expense}}{\text{Interest-bearing liabilities}}$

• Alpha: $\dfrac{710.26}{15{,}888.08} - \dfrac{166.62}{15{,}151.56} = 4.47\% - 1.10\% = \mathbf{3.37\%}$
• Zebra: $\dfrac{68{,}551.40}{1{,}365{,}496.57} - \dfrac{10{,}320.62}{1{,}414{,}090.10} = 5.02\% - 0.73\% = \mathbf{4.29\%}$

(c) Overhead efficiency

$\text{Overhead efficiency} = \frac{\text{Non-interest income}}{\text{Non-interest expense}}$

• Alpha: $\dfrac{189.12}{543.34} = \mathbf{34.81\%}$
• Zebra: $\dfrac{32{,}831.80}{41{,}929.06} = \mathbf{78.30\%}$

Interpretation: Bank Zebra is stronger on all three measures. It earns a higher margin on its earning assets (4.26% against 3.42%) and a wider spread because it pays much less for its funds (0.73% against 1.10% cost of interest-bearing liabilities) while earning more on its assets. Its fee and other non-interest income covers about 78% of its overhead, whereas Alpha's covers only about 35%, so Alpha must rely much more on net interest income to pay for its operating costs. Overall Zebra is the more profitable and efficient bank.

Assuming the reserve ratio increases by 1 percentage point, i.e. from 4% to 5%.

Given:

• Total deposits, (D = Rs\ 1{,}000) billion
• Initial required reserve ratio, (r_1 = 4% = 0.04)
• New required reserve ratio, (r_2 = 5% = 0.05)

a. Required reserves before increase

[ RR_1 = D \times r_1 = 1000 \times 0.04 = Rs\ 40 \text{ billion} ]

b. Required reserves after increase

[ RR_2 = D \times r_2 = 1000 \times 0.05 = Rs\ 50 \text{ billion} ]

c. Shortage of reserves after increase

[ \text{Shortage} = RR_2 - RR_1 = 50 - 40 = Rs\ 10 \text{ billion} ]

d. Money multiplier before and after increase

Simple money multiplier: [ m = \frac{1}{r} ]

Before: [ m_1 = \frac{1}{0.04} = 25 ]

After: [ m_2 = \frac{1}{0.05} = 20 ]

e. Maximum contraction of money supply

The banking system has only Rs 40 billion reserves initially. At the new reserve ratio of 5%, maximum deposits supported are:

[ D' = \frac{\text{Available reserves}}{r_2} = \frac{40}{0.05} = Rs\ 800 \text{ billion} ]

So maximum contraction in deposits/money supply: [ \Delta M = 1000 - 800 = Rs\ 200 \text{ billion} ]

Alternatively: [ \Delta M = \text{Shortage of reserves} \times m_2 = 10 \times 20 = Rs\ 200 \text{ billion} ]

Answer:

• Required reserves before increase = Rs 40 billion
• Required reserves after increase = Rs 50 billion
• Shortage of reserves = Rs 10 billion
• Money multiplier before = 25
• Money multiplier after = 20
• Maximum contraction of money supply = Rs 200 billion

(a) Annuity payments of the deferred annuity

Payments begin at the end of year 4, so the amount invested earns 9% for the first 3 years, then funds an ordinary annuity. For a single amount $P$ invested now and an annuity of $n$ payments:

$$P(1.09)^3 = PMT \times \frac{1-(1.09)^{-n}}{0.09} \;\Rightarrow\; PMT = \frac{P(1.09)^3 \times 0.09}{1-(1.09)^{-n}}$$

For example, with $P$ = Rs 10,00,000 and $n$ = 10 payments: value at end of year 3 = 10,00,000 × 1.2950 = Rs 12,95,029, and

$PMT = \frac{12{,}95{,}029}{6.4177} \approx \text{Rs } 2{,}01{,}800 \text{ per year}$

(b) Net asset value (NAV) of XYZ Fund

$NAV = \frac{\text{Portfolio value} - \text{Liabilities}}{\text{Number of shares}}$

Beginning of day:

$NAV = \frac{12{,}500{,}000 - 7{,}500{,}000}{1{,}000{,}000} = \textbf{Rs 5.00 per share}$

End of day: security prices are unchanged, so the deposit and withdrawal are made at NAV Rs 5.00.

• New shares issued = 3,50,000 / 5 = 70,000
• Shares redeemed = 3,00,000 / 5 = 60,000
• Shares outstanding = 1,000,000 + 70,000 − 60,000 = 1,010,000
• Net assets = 5,000,000 + 350,000 − 300,000 = Rs 5,050,000

$NAV = \frac{5{,}050{,}000}{1{,}010{,}000} = \textbf{Rs 5.00 per share}$

The NAV is unchanged because deposits and withdrawals are at NAV and asset prices did not move.

Methods for Calculating Retirement Benefits

Retirement benefit plans fall into two broad categories — defined contribution plans and defined benefit plans — and the method of calculating the retirement benefit differs fundamentally between them.

1. Defined Contribution Plans

Under a defined contribution plan, the employer's obligation is limited to the contribution made each period; the benefit depends on the accumulated fund and its investment earnings. The contribution is usually a fixed percentage of the employee's salary. The retirement benefit is calculated as:

$\text{Retirement Benefit} = \text{Accumulated Contributions} + \text{Investment Earnings on those Contributions}$

Methods of calculation:

• Accumulated fund method: The employer and/or employee contribute a fixed amount (or percentage of salary) periodically. Each contribution is invested, and interest is compounded until retirement. The total fund at retirement is the benefit.
• Projected value method: The future value of all periodic contributions is computed using the expected rate of return:

$FV = C \times \frac{(1+i)^n - 1}{i}$

where (C) = periodic contribution, (i) = interest rate per period, (n) = number of periods.

• Annuity conversion method: The accumulated lump sum is converted into a periodic pension using an annuity factor based on expected post-retirement life and interest rate.

Key feature: The risk of investment performance lies with the employee; the employer's cost is known and fixed.

2. Defined Benefit Plans

Under a defined benefit plan, the benefit formula is fixed in advance, usually linked to salary and years of service. The employer bears the investment and longevity risk. The benefit is calculated by several methods:

(a) Final Pay (Final Salary) Method

The pension is a percentage of the employee's salary at retirement for each year of service:

$\text{Pension} = \text{Final Salary} \times \text{Service Years} \times \text{Accrual Rate}$

Example: Final salary Rs 50,000; 25 years' service; 2% per year → Pension = 50,000 × 25 × 2% = Rs 25,000 per year.

(b) Career Average Method

The pension is based on the average salary over the entire service period rather than the final salary:

$\text{Pension} = \text{Career Average Salary} \times \text{Service Years} \times \text{Accrual Rate}$

(c) Projected Unit Credit Method

Used under accounting standards (IAS 19 / NAS). The benefit is attributed to each year of service, and the present value of the accrued benefit obligation is computed. Each year's service earns a unit of benefit, discounted to present value.

(d) Aggregate Method

The total cost of the plan is spread over the expected service life of all employees, and the contribution is determined so that the fund equals the projected benefit at retirement.

(e) Vested Benefit Method

Only the vested portion (benefit the employee is entitled to even on leaving) is calculated, based on a vesting schedule.

Comparison

Conclusion: In a defined contribution plan, the retirement benefit is calculated from the accumulated contributions and their investment earnings, whereas in a defined benefit plan it is calculated using a predetermined formula based on salary, years of service and an accrual rate, with actuarial methods used to determine the required funding.

Importance of Risk Management for a Financial Institution

Introduction

Risk management is the process of identifying, measuring, monitoring, and controlling the various risks that a financial institution faces in the course of its business. For banks and other financial institutions, risk is not an avoidable by-product — it is the very nature of their business, since they accept deposits, extend credit, and deal in financial assets whose value can change. Effective risk management is therefore not optional but essential for survival and growth.

Importance of Risk Management

1. Protection of depositors' funds: Financial institutions hold public money in the form of deposits. Sound risk management ensures that these funds are safe and repayable on demand. Failure to manage risk can lead to loss of depositors' money and erosion of public confidence.

2. Ensuring solvency and stability: By identifying and controlling risks in advance, an institution can prevent large unexpected losses that could wipe out its capital. This keeps the institution solvent and financially stable.

3. Maintaining public confidence and reputation: Banks run largely on trust. A single major loss or failure damages reputation, triggers deposit withdrawals, and may lead to a run on the bank. Good risk management preserves the image and credibility of the institution.

4. Regulatory compliance: Regulatory authorities such as Nepal Rastra Bank prescribe capital adequacy, liquidity, and exposure norms. A proper risk management system helps the institution comply with these requirements and avoid penalties and restrictions.

5. Profitability and sustainable growth: Risk and return are closely related. By taking only calculated and well-priced risks, an institution can earn a stable return without exposing itself to excessive loss. This supports long-term growth.

6. Efficient allocation of resources: Risk management helps direct funds toward safer and more productive uses, avoiding concentration in high-risk sectors. This improves the quality of the asset portfolio.

7. Prevention of systemic crisis: Since financial institutions are interlinked, the failure of one can spread to others. Effective risk management at the individual institution level contributes to the stability of the entire financial system.

8. Better decision-making: Reliable risk information enables management to take timely decisions on lending, investment, pricing, and capital planning.

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Minimizing Credit Risk

Credit risk is the risk of loss arising when a borrower or counterparty fails to meet its contractual obligation to repay principal and interest. It is the largest risk for most commercial banks. It can be minimized in the following ways:

1. Sound credit appraisal: Before granting a loan, the institution should thoroughly assess the borrower's character, capacity, capital, collateral, and conditions (the 5 Cs of credit). Financial statements, repayment history, and business prospects must be carefully examined.

2. Credit rating and scoring: Borrowers should be classified by credit rating. Loans should be granted only to borrowers within acceptable rating grades, and the interest rate should be set according to the risk grade.

3. Diversification of portfolio: Credit should be spread across different borrowers, sectors, industries, and regions. This avoids concentration risk, so that default by one large borrower does not seriously damage the institution.

4. Exposure limits: The institution should fix limits on lending to a single borrower, a single group, and a single sector, in line with regulatory directives on single obligor and sectoral limits.

5. Adequate collateral and security: Loans should be backed by sufficient and easily realizable collateral. The loan-to-value ratio should be kept conservative, and collateral should be periodically revalued.

6. Loan covenants and monitoring: Loan agreements should include restrictive covenants such as maintaining a certain debt-equity ratio or not selling mortgaged assets. Post-disbursement monitoring through periodic visits, financial statement analysis, and early warning signals helps detect deterioration early.

7. Loan review and classification: Loans should be regularly reviewed and classified as performing, substandard, doubtful, or bad. This helps identify problem loans early and take corrective action.

8. Provisioning and write-off policy: Adequate loan loss provisions should be maintained against probable losses, and bad loans should be written off in time so that the balance sheet reflects the true position.

9. Credit insurance and guarantees: Credit insurance, export credit guarantees, and third-party guarantees can transfer part of the credit risk to another party.

10. Training of credit staff: Credit officers should be well trained in appraisal, documentation, and monitoring so that human error in lending is minimized.

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Minimizing Liquidity Risk

Liquidity risk is the risk that an institution will be unable to meet its short-term obligations, such as deposit withdrawals and maturing liabilities, without incurring unacceptable losses. It has two dimensions: funding liquidity risk and market liquidity risk. It can be minimized as follows:

1. Maintaining adequate liquid assets: The institution should hold sufficient cash, balances with the central bank, and other highly liquid assets to meet day-to-day obligations. Statutory reserves such as the cash reserve ratio and statutory liquidity ratio should be maintained.

2. Proper asset-liability management (ALM): Assets and liabilities should be matched in terms of maturity, interest rate, and amount. Maturity mismatches should be kept within tolerable limits so that maturing liabilities can be met from maturing assets.

3. Diversified funding sources: Dependence on a single source of funds, such as large corporate deposits or interbank borrowing, should be avoided. Funds should be raised from a mix of retail deposits, wholesale deposits, borrowings, and capital market instruments.

4. Liquidity gap analysis and stress testing: The institution should prepare a maturity ladder of inflows and outflows and measure liquidity gaps at different time buckets. Stress testing under scenarios such as sudden large withdrawals helps assess the adequacy of liquid reserves.

5. Contingency funding plan: A well-documented contingency plan should specify the sources of emergency funds, the responsibilities of staff, and the triggers for activating the plan.

6. Credit lines and central bank support: Standby credit lines from other banks and access to the central bank's lender-of-last-resort facility provide a safety net in times of liquidity stress.

7. Effective cash management: Daily cash flow forecasting and centralised cash management help ensure that surplus funds are invested and deficits are covered promptly.

8. Prudent lending and investment policy: Excessive long-term lending funded by short-term deposits creates liquidity problems. Lending and investment policies should therefore be framed with due regard to the liquidity position.

9. Monitoring liquidity indicators: Ratios such as the current ratio, liquid assets to total deposits, and loans to deposits should be monitored regularly against internal and regulatory benchmarks.

10. Public confidence: Maintaining a sound capital base, transparent disclosure, and a good reputation reduces the chance of sudden deposit runs, which are the main trigger of liquidity crisis.

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Conclusion

Risk management is the backbone of a financial institution's stability, credibility, and profitability. Credit risk and liquidity risk are the two most critical risks, and they are closely related — poor credit quality ultimately weakens liquidity. By adopting sound appraisal, diversification, exposure limits, collateral control, and monitoring on the credit side, and by maintaining liquid assets, matching maturities, diversifying funding, and preparing contingency plans on the liquidity side, a financial institution can keep both risks within acceptable limits and ensure safe and sustainable operation.

Nepal Insurance Authority (NIA) — formerly Beema Samiti — is the statutory regulator of the insurance sector in Nepal. It was established in 1968 (2025 BS) as Beema Samiti under the Insurance Act, 1968, and was renamed Nepal Insurance Authority under the Insurance Act, 2079 (2022). It functions as an autonomous, corporate body under the Ministry of Finance, with its head office in Kathmandu.

Role of NIA

NIA acts as the apex regulatory and supervisory authority for all insurers, reinsurers, insurance intermediaries (agents, brokers, surveyors), and related professionals in Nepal. Its role is to develop, regulate, supervise, and promote the insurance industry in a healthy, transparent and competitive manner, while protecting the interests of policyholders and the general public.

Functions of NIA

1. Licensing and registration: Grants, renews, suspends or cancels licences of life and non-life insurers, reinsurers, brokers, agents, surveyors and loss assessors. It prescribes minimum paid-up capital, fit-and-proper criteria for promoters, directors and chief executives.

2. Regulation of insurance business: Issues directives, circulars and guidelines on policy wording, premium rates, tariffs (e.g., motor third-party tariff), commissions, bonus and claim settlement practices. It approves new insurance products and policy conditions.

3. Prudential supervision: Monitors solvency margin, capital adequacy, reinsurance arrangements, investment of insurance funds (as per prescribed limits), reserves and technical provisions. It conducts on-site inspection and off-site surveillance of insurers.

4. Protection of policyholders: Ensures fair treatment of policyholders, timely settlement of claims, grievance handling, and operates a complaint-hearing mechanism. It regulates surrender values, paid-up values and nomination/assignment rules.

5. Market conduct and discipline: Controls malpractices such as mis-selling, rebating of commission, and unfair trade practices. It can impose fines, penalties, and cancel licences for violations.

6. Development and promotion of insurance: Encourages expansion of insurance coverage, financial literacy, micro-insurance, crop and livestock insurance, and promotes reinsurance capacity. It also advises the Government on insurance policy and legislation.

7. Regulation of intermediaries and professionals: Prescribes qualification, examination and code of conduct for agents, brokers and surveyors; maintains their records and registers.

8. Reinsurance and risk management: Approves reinsurance programmes, monitors retention limits, and oversees the functioning of the Nepal Reinsurance Company and the Insurance Pool.

9. Data collection and research: Collects statistics on premiums, claims, investments and market performance; publishes annual reports and insurance-related research.

10. Coordination and international relations: Coordinates with the Ministry of Finance, Nepal Rastra Bank, and international bodies (e.g., IAIS) on insurance regulation and cross-border issues.

Conclusion

Thus, NIA is the watchdog of Nepal's insurance industry. Through licensing, prudential regulation, market conduct supervision and developmental initiatives, it ensures a sound, transparent and trustworthy insurance market that safeguards policyholders' interests and supports national economic growth.

(a) Capital fund of ABC Bank (Rs in millions)

Core capital (Tier 1)

Supplementary capital (Tier 2)

$\text{Total capital fund} = 2{,}696 + 1{,}990 = \textbf{Rs 4,686 million}$

(Limits are respected: subordinated term loans 600 are below 50% of core capital, i.e. 1,348, and general loan loss provision 240 is below 1.25% of RWA.)

(b) Risk-weighted assets (RWA)

$\text{Total RWA} = 32{,}935 + 1{,}360 = \textbf{Rs 34,295 million}$

(c) Capital ratios

$\text{Core capital ratio} = \frac{2{,}696}{34{,}295}\times 100 = \textbf{7.86\%}$

$CAR = \frac{4{,}686}{34{,}295}\times 100 = \textbf{13.66\%}$

(d) Minimum required capital fund

$11\% \times 34{,}295 = \textbf{Rs 3,772.45 million}$

(e) Adequacy

Yes. The bank's total capital fund (Rs 4,686 million) exceeds the required Rs 3,772.45 million by about Rs 913.55 million, and the CAR of 13.66% is above the 11% requirement. (The core capital ratio of 7.86% is above the 6% Basel minimum, though below the 8.5% core level NRB expects of commercial banks with its buffer.)

Given:

• Loss ratio = 79.8%
• Expense ratio = 27.9%
• Policyholders' dividend ratio = 2%
• Investment yield = 12%

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a. Combined ratio after dividend

$\text{Combined ratio after dividend} = \text{Loss ratio} + \text{Expense ratio} + \text{Dividend ratio}$

$= 79.8\% + 27.9\% + 2\% = 109.7\%$

The combined ratio after dividend is 109.7%. Since it exceeds 100%, the company is running an underwriting loss of 9.7% of premiums earned before considering investment income.

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b. Operating (operating) ratio

$\text{Operating ratio} = \text{Combined ratio after dividend} - \text{Investment yield}$

$= 109.7\% - 12\% = 97.7\%$

The operating ratio is 97.7%. As it is below 100%, the company earns an overall operating profit of 2.3% of premiums earned after including investment income.

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c. Overall profitability

$\text{Overall profitability} = 100\% - \text{Operating ratio}$

$= 100\% - 97.7\% = 2.3\%$

The overall profitability is 2.3% of premiums earned. This means that after covering all losses, expenses, policyholder dividends and adding investment income, the company earns a profit of 2.3 paisa on every rupee of premium earned.

Part A: Maintaining Sustainability in Microfinance Institutions

Sustainability in microfinance means the ability of a microfinance institution (MFI) to cover all its costs — operating cost, cost of funds and the cost of capital — from its own income and to keep serving poor clients over the long run without depending permanently on donors or subsidies. In the Nepali context, where MFIs are licensed as "D" class financial institutions under Nepal Rastra Bank (NRB), sustainability can be maintained through the following measures:

1. Financial sustainability (operational and financial self-sufficiency)

• Charge an interest rate that covers the cost of funds, operating cost, loan loss and inflation, while remaining affordable to the poor. In Nepal, the interest rate is capped by NRB (currently around 15–18% per annum on declining balance), so MFIs must control cost rather than raise rates.
• Increase the loan portfolio size and outreach so that fixed administrative costs are spread over more clients (economies of scale).
• Maintain a healthy repayment rate (above 95%) through group lending, joint liability and regular centre meetings.

2. Operational efficiency

• Reduce cost per borrower by simplifying loan appraisal, using group-based screening instead of costly individual collateral-based appraisal.
• Use mobile banking, branchless banking and digital record keeping to cut transaction costs.
• Avoid overstaffing and unnecessary branch expansion; expand only where the client density justifies it.

3. Sound governance and management

• A professional board, transparent accounting, internal audit and separate credit and operation functions.
• Comply with NRB directives on capital adequacy, loan loss provisioning, single borrower limit and reporting.
• Train staff in credit appraisal, client protection and financial discipline.

4. Diversification of products and sources of funds

• Besides micro-credit, offer micro-savings, micro-insurance, remittance services and small enterprise loans to earn fee income.
• Reduce dependence on donor grants and subsidised funds; use member savings, commercial bank borrowings (as per NRB wholesale lending limits) and retained earnings.
• Access refinance from NRB and the Rural Self-Reliance Fund.

5. Client-level sustainability

• Avoid over-indebtedness by checking the credit history of clients (through the Credit Information Bureau) and by not lending to multiple MFIs.
• Charge no hidden costs; follow the Client Protection Principles so that clients stay loyal and repayment remains high.

6. Social sustainability

• Keep the poverty focus: at least the majority of clients should be poor and women (NRB requires a certain share of deprived sector lending).
• Build social capital through women's groups, financial literacy and skill development so that members themselves sustain the institution.

7. Regulatory and institutional support

• A clear legal framework (Microfinance Act/Directives), deposit insurance, and supervision by NRB create depositor confidence and long-run stability.
• Federations and networks (e.g., NEFSCUN, Sa-Dhan-type associations) provide training, rating and advocacy support.

In short, sustainability is maintained by balancing outreach (social mission) with cost recovery (financial mission) — the "double bottom line" of microfinance.

Part B: Importance of Microfinance in Rural Areas of Nepal

Nepal is a rural, agriculture-based economy where a large section of the population is unbanked or under-banked. Microfinance has become an important tool of rural development for the following reasons:

1. Access to credit for the poor

• Formal banks hesitate to lend to the rural poor who lack collateral. MFIs provide small collateral-free loans through group guarantee, enabling the poor to start or expand income-generating activities (livestock, vegetable farming, tailoring, petty trade).

2. Poverty reduction and income generation

• Loans finance micro-enterprises, which raise household income and create self-employment. Studies in Nepal show a positive impact on income, assets and food security of member households.

3. Women's empowerment

• The majority of MFI clients in Nepal are women (often above 80%). Group membership gives women access to credit, savings and decision-making power in the family and community.

4. Promotion of saving habits

• Micro-savings products teach rural households to save regularly, creating a safety net for emergencies and reducing dependence on moneylenders.

5. Reduction of exploitation by local moneylenders

• Traditional moneylenders charge very high interest. MFIs provide credit at regulated, affordable rates, freeing rural people from debt traps.

6. Support to agriculture and rural micro-enterprise

• Seasonal loans for seeds, fertilisers, irrigation and livestock, and small business loans, raise rural productivity and link farmers to markets.

7. Employment and rural non-farm sector

• Micro-enterprises create jobs for family members and neighbours, slowing rural-to-urban and foreign migration.

8. Financial inclusion

• MFIs take banking services to remote villages through branchless banking, mobile banking and door-to-door collection, bringing the unbanked into the formal financial system.

9. Social development

• Financial literacy, health awareness, skill training and group meetings improve education, health and social awareness in rural communities.

10. Contribution to the national economy

• By mobilising rural savings and channelling them into productive investment, MFIs support the deprived sector lending target of NRB, increase rural GDP and reduce regional imbalance.

Conclusion Microfinance is not merely a credit programme; it is a rural development strategy. In Nepal, where about two-thirds of the population still lives in rural areas, sustainable MFIs are essential to reduce poverty, empower women, create rural employment and achieve inclusive growth. Therefore, MFIs must be run on sound financial principles so that they can continue this service permanently without depending on donors.

Assumption: “2,000 shares of stock outstanding” means 2,000 mutual fund shares outstanding. No liabilities or cash are given.

[ \text{NAV}=\frac{\text{Market value of portfolio}-\text{Liabilities}}{\text{Number of fund shares outstanding}} ]

a. NAVs of both funds

Fund A: [ 100 \times 160 + 50 \times 200 = 16{,}000 + 10{,}000 = \text{Rs }26{,}000 ] [ \text{NAV}_A = \frac{26{,}000}{2{,}000} = \text{Rs }13 \text{ per share} ]

Fund B: [ 75 \times 160 + 100 \times 200 = 12{,}000 + 20{,}000 = \text{Rs }32{,}000 ] [ \text{NAV}_B = \frac{32{,}000}{2{,}000} = \text{Rs }16 \text{ per share} ]

So, NAV of Fund A = Rs 13 and NAV of Fund B = Rs 16.

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b. Buy or sell at Rs 14 per share?

• Fund A: NAV = Rs 13, market price = Rs 14.
  It is trading at a premium of Rs 1. It is overvalued, so an investor would sell/redeem shares, not buy.

• Fund B: NAV = Rs 16, market price = Rs 14.
  It is trading at a discount of Rs 2. It is undervalued, so an investor would buy shares.

Thus: Sell Fund A; buy Fund B at Rs 14 per share.

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c. Effect of price changes after one month

New prices: KBL = Rs 165, NMB = Rs 195.

Fund A new NAV: [ 100 \times 165 + 50 \times 195 = 16{,}500 + 9{,}750 = \text{Rs }26{,}250 ] [ \text{NAV}_A = \frac{26{,}250}{2{,}000} = \text{Rs }13.125 ]

Change in NAV: [ 13.125 - 13 = \text{Rs }0.125 \text{ per share} ] Return: [ \frac{0.125}{13} \times 100 = 0.9615% \approx 0.96% ]

Fund B new NAV: [ 75 \times 165 + 100 \times 195 = 12{,}375 + 19{,}500 = \text{Rs }31{,}875 ] [ \text{NAV}_B = \frac{31{,}875}{2{,}000} = \text{Rs }15.9375 ]

Change in NAV: [ 15.9375 - 16 = -\text{Rs }0.0625 \text{ per share} ] Return: [ \frac{-0.0625}{16} \times 100 = -0.3906% \approx -0.39% ]

Conclusion:
Fund A’s NAV rises by about 0.96%, while Fund B’s NAV falls by about 0.39% over the month.

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d. Effect of adding another 100 shares of KBL to Fund A

If Fund A adds another 100 KBL shares and stock prices remain unchanged:

New KBL holding = (100 + 100 = 200) shares.

[ \text{New portfolio value} = 200 \times 160 + 50 \times 200 ] [ = 32{,}000 + 10{,}000 = \text{Rs }42{,}000 ] [ \text{New NAV}_A = \frac{42{,}000}{2{,}000} = \text{Rs }21 ]

Effect: [ 21 - 13 = \text{Rs }8 \text{ increase per fund share} ] [ \frac{8}{13} \times 100 = 61.54% ]

So Fund A’s NAV rises from Rs 13 to Rs 21, an increase of Rs 8 per share or 61.54%, assuming the additional KBL shares are added without issuing new fund shares or creating liabilities. If the purchase is financed by cash or by issuing new fund shares, the NAV may remain unchanged.

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e. Why closed-end fund shares usually trade at a price different from NAV

A closed-end fund has a fixed number of shares and is not continuously redeemed at NAV. Its shares are bought and sold in the stock market like ordinary shares. Therefore, its market price is determined by demand and supply, investor sentiment, expectations about future performance, management quality, expenses, dividend policy, liquidity, and general market conditions.

As a result, closed-end fund shares may trade at:

• a premium when market price > NAV, or
• a discount when market price < NAV.

In contrast, an open-end mutual fund issues and redeems its shares at NAV, so its transaction price normally equals NAV.

Given: Salary = Rs 75,000; employee contribution = 10%; employer matches 40% of the first 6% of the employee's contribution; tax bracket = 31%; expected return = 8%.

(a) Employee contribution = 10% × 75,000 = Rs 7,500

Employer match = 40% × (6% × 75,000) = 40% × 4,500 = Rs 1,800

Terminal investment (total annual deposit) = 7,500 + 1,800 = Rs 9,300

One-year return = 8% × 9,300 = Rs 744

(b) Employee's net-of-tax contribution = 7,500 × (1 − 0.31) = Rs 5,175 per year.

Future value annuity factor for 20 years at 8%:

$\frac{(1.08)^{20}-1}{0.08} = 45.762$

Value of the plan contribution in 20 years:

$FV = 9{,}300 \times 45.762 \approx \text{Rs } 4{,}25{,}586$

Value of the employee's net-of-tax contribution in 20 years:

$FV = 5{,}175 \times 45.762 \approx \text{Rs } 2{,}36{,}818$