Financial Markets and Services

Meaning of Non-Depository Institutions

Non-depository financial institutions are financial intermediaries that do not accept traditional transactional demand or savings deposits from the general public. Instead, they obtain funds by selling financial contracts, collecting insurance premiums, receiving pension contributions, issuing shares or debentures, and providing specialized investment and risk-pooling services.

Key Examples:

1. Insurance Companies: (e.g., Nepal Life Insurance Company, Rastriya Beema Sansthan) which fund operations through policy premiums and invest in long-term capital assets.
2. Pension & Retirement Funds: (e.g., Employees Provident Fund / Karmachari Sanchaya Kosh, Citizen Investment Trust) which pool mandatory payroll deductions to provide retirement benefits and capital financing.
3. Mutual Funds & Merchant Banks: (e.g., NIBL Ace Capital, Global IME Capital) which pool investor funds to purchase diversified portfolios of equities and bonds.

Four Major Functions of Citizen Investment Trust (CIT / Nagarik Lagani Kosh)

Established under the Citizen Investment Trust Act, 2047, CIT acts as a statutory non-depository financial intermediary with the following four key functions:

1. Mobilization of Voluntary Public Savings: Operates diversified voluntary investment and savings schemes (such as the Citizen Unit Scheme and Investor Account Scheme) to channel household savings into productive national investments.
2. Management of Retirement & Gratuity Funds: Administers pension, gratuity, and provident funds for employees of government bodies, public corporations, academic institutions, and private enterprises.
3. Capital Market Operations & Underwriting: Acts as an institutional investor, merchant banker, and underwriter for public offerings (IPOs/FPOs) and corporate debentures on the Nepal Stock Exchange (NEPSE).
4. Credit Facilities to Participants: Provides term loan facilities (including housing loans, educational loans, and contingent loans) to participating members against their accumulated savings collateral.

Two Major Objectives of Monetary Policy

Monetary policy, formulated and implemented by the central bank (Nepal Rastra Bank - NRB under the NRB Act, 2058), is guided by two primary macroeconomic objectives:

1. Price Stability (Controlling Inflation): Managing domestic money supply and credit expansion to keep inflation within a target corridor (typically below 6.5% in Nepal), thereby preserving the domestic purchasing power of the Nepalese Rupee.
2. External Sector Stability & Exchange Rate Management: Maintaining adequate foreign exchange reserves (to cover at least 7 months of prospective merchandise and services imports) and defending the pegged exchange rate regime between the Nepalese Rupee (NPR) and the Indian Rupee (INR) to anchor trade certainty.

Meaning of Financial Services

Financial services refer to the economic and professional services provided by the finance industry encompassing institutions that manage money, facilitate transactions, provide credit, underwrite securities, manage risks, and advise corporate and individual clients.

Unlike physical financial goods, financial services represent intangible processes that enhance capital allocation, trade facilitation, and wealth accumulation.

Practical Example:

Merchant Banking / Issue Management Services: When a corporate entity (e.g., a hydropower company in Nepal) decides to go public, an investment/merchant bank manages its Initial Public Offering (IPO) by drafting the prospectus, seeking SEBON approval, underwriting unsubscribed shares, and managing the electronic application via ASBA/C-ASBA.

Four Money Market Instruments Practiced in Nepal

The Nepalese money market deals in short-term, highly liquid debt instruments with maturities of one year or less:

1. Treasury Bills (T-Bills): Short-term promissory obligations issued by Nepal Rastra Bank on behalf of the Government of Nepal in standard tenors of 28 days, 91 days, 182 days, and 364 days to finance temporary budget deficits.
2. Repurchase Agreements (Repo) & Reverse Repo: Liquidity management instruments used by Nepal Rastra Bank to inject short-term liquidity (Repo) or mop up excess structural liquidity (Reverse Repo) from commercial banks.
3. Interbank / Call Money: Ultra short-term unsecured borrowing and lending among Class ‘A’ commercial banks to manage daily clearing house obligations and regulatory Cash Reserve Ratio (CRR) thresholds.
4. Standing Liquidity Facility (SLF) & Standing Deposit Facility (SDF): Monetary corridor windows provided by NRB enabling banks to access overnight borrowing against government securities or place surplus funds at floor policy rates.

Two Major Functions of Credit Rating

Credit rating agencies (such as ICRA Nepal and Care Ratings Nepal) evaluate the creditworthiness of debt issuers and structured instruments:

1. Independent Assessment of Default Risk: Assigns an objective, standardized alphabetical symbol (e.g., AAA, AA, BBB, C, D) representing the issuer’s capacity and legal willingness to make timely payments of principal and coupon interest throughout the instrument’s tenor.
2. Mitigation of Information Asymmetry & Pricing Facilitation: Bridges the information gap between corporate borrowers and prospective public/institutional investors, reducing due diligence costs and allowing the debt market to price risk premiums efficiently.

Four Fundamental Features of an Insurance Contract

An insurance contract is a specialized legal agreement governed by specific legal doctrines:

1. Utmost Good Faith (Uberrimae Fidei): Requires both the insured and the insurer to make full, honest, and accurate disclosure of all material facts without fraud, misrepresentation, or nondisclosure.
2. Insurable Interest: The policyholder must have a recognized financial or legal relationship with the subject matter (life or property) such that they suffer direct financial loss upon its destruction or death.
3. Principle of Indemnity: Applies strictly to general/non-life insurance, ensuring the insurer compensates the policyholder only to the extent of actual pecuniary loss suffered, preventing the insured from making a profit from a disaster.
4. Aleatory Contract: The obligations and exchange of values depend on the occurrence of an uncertain contingent event; the insurer pays only if the covered peril materializes during the policy period.

Step-by-Step Calculation:

Given:

• Net Asset Value per share ($\text{NAV}$) = Rs 15
• Front-end load fee rate = $5\% = 0.05$

Formula:

In standard investment finance, the offering price (purchase price) for a load mutual fund is determined so that the load percentage is deducted from the gross purchase amount:

$$\text{Offering Price} = \frac{\text{NAV}}{1 - \text{Load Fee Rate}}$$

$$\text{Offering Price} = \frac{15}{1 - 0.05} = \frac{15}{0.95} \approx \text{Rs } 15.7895 \approx \mathbf{Rs\ 15.79}$$

(Note: Under an alternative arithmetic convention where the load is charged directly on the NAV: $\text{Offering Price} = \text{NAV} \times (1 + \text{Load}) = 15 \times (1 + 0.05) = \mathbf{Rs\ 15.75}$.)

Conclusion:

The investor must pay Rs 15.79 (or Rs 15.75) per share to acquire this mutual fund.

Step-by-Step Calculation:

Given:

• Annual annuity payment ($\text{PMT}$) = Rs 200,000
• Number of years ($n$) = 20 years
• Annual interest / discount rate ($i$) = $10\% = 0.10$

Formula:

The purchase price required today is the Present Value of an Ordinary Annuity ($\text{PVA}$):

$$\text{PVA} = \text{PMT} \times \left[ \frac{1 - (1 + i)^{-n}}{i} \right] = \text{PMT} \times \text{PVIFA}_{i, n}$$

Calculation:

$$\text{PVIFA}_{10\%, 20} = \frac{1 - (1.10)^{-20}}{0.10} = \frac{1 - 0.1486436}{0.10} = \frac{0.8513564}{0.10} = 8.513564$$

$$\text{PVA} = 200,000 \times 8.513564 = \mathbf{Rs\ 1,702,712.80} \approx \mathbf{Rs\ 1,702,713}$$

Conclusion:

The required annuity purchase amount today is Rs 1,702,713.

Step-by-Step Calculation:

Given:

• Annual deposit ($\text{PMT}$) = Rs 15,000
• Number of years ($n$) = 10 years
• Annual interest rate ($i$) = $10\% = 0.10$
• Timing of payments: Beginning of each year (Annuity Due)

Formula:

$$\text{FVA}_{\text{due}} = \text{PMT} \times \left[ \frac{(1 + i)^n - 1}{i} \right] \times (1 + i) = \text{PMT} \times \text{FVIFA}_{i, n} \times (1 + i)$$

Calculation:

$$\text{FVIFA}_{10\%, 10} = \frac{(1.10)^{10} - 1}{0.10} = \frac{2.59374246 - 1}{0.10} = \frac{1.59374246}{0.10} = 15.937425$$

$$\text{FVA}_{\text{ordinary}} = 15,000 \times 15.937425 = \text{Rs } 239,061.37$$

Compounding for the annuity due factor $(1 + 0.10)$:

$$\text{FVA}_{\text{due}} = 239,061.37 \times 1.10 = \mathbf{Rs\ 262,967.51} \approx \mathbf{Rs\ 262,968}$$

Conclusion:

The accumulated retirement funds at the end of year 10 will be Rs 262,967.51.

Roles of Financial Services in the Economy

Financial services serve as the vascular network of a modern market economy by connecting economic surplus agents (savers/households) with economic deficit agents (entrepreneurs, corporations, and governments). Their core macroeconomic contributions include:

1. Efficient Capital Mobilization & Allocation:

   • Financial services pool fragmented household savings through deposit schemes, mutual funds, and pension funds, deploying them into high-yielding productive industrial capital.

2. Risk Transformation, Diversification & Transfer:

   • Through insurance and derivatives services, financial institutions unbundle and transfer business, natural catastrophe, and credit risks, shielding enterprise capital from insolvency.

3. Liquidity Provision & Transaction Cost Minimization:

   • Payment settlement services (RTGS, connectIPS, card payment networks) drastically reduce transaction friction, enabling instantaneous clearing of commercial contracts and commercial stability.

4. Monitoring Corporate Governance & Managerial Efficiency:

   • Institutional asset managers, rating agencies, and investment bankers scrutinize corporate management, enforcing market discipline, regulatory transparency, and optimal capital structure.

5. Promoting Inclusive Economic Growth & Entrepreneurship:

   • Micro-credit, SME financing, and venture syndication unlock entrepreneurial capacity across emerging sectors, driving employment creation and gross domestic output.

Functions of Stock Brokers vs. Stock Dealers

In secondary financial markets, market participants rely on stock brokers and dealers for executing securities transactions:

+-----------------------------------------------------------------------------------+
| Feature            | Stock Broker                          | Stock Dealer         |
+-----------------------------------------------------------------------------------+
| Capacity           | Pure Agent on behalf of clients       | Principal for own    |
| Compensation       | Brokerage commission / fee            | Bid-ask spread markup|
| Inventory Risk     | None (does not hold trading position) | High inventory risk  |
+-----------------------------------------------------------------------------------+

1. Functions of Stock Brokers:

• Order Routing and Trade Execution: Captures client buy/sell instructions and routes them through the NEPSE Automated Trading System (NATS).
• Clearing, Settlement & DP Services: Coordinates with CDS and Clearing Limited (CDSC) to ensure timely settlement of securities ($T+2$) and clearing funds.
• Client Advisory & Information Dissemination: Provides market research, fundamental company reports, and transaction statements.

2. Functions of Stock Dealers (Market Makers):

• Continuous Liquidity Provision: Provides continuous two-way quotations (firm bid and ask prices), ensuring investors can execute trades even in thin market conditions.
• Market Depth & Stability: Absorbs temporary supply-demand imbalances using their proprietary capital inventory, reducing extreme price volatility.
• Price Discovery: Synthesizes institutional market intelligence into bid/ask spreads, guiding fair asset valuation.

Concept and Functions of Capital Market

1. Concept of Capital Market:

The capital market is the financial market arena where long-term debt securities (corporate bonds, debentures, government development bonds) and equity instruments (ordinary and preference shares) with maturities exceeding one year are issued and traded. It comprises:

• Primary Market: Where new securities are created and sold directly by issuers to raise fresh equity/debt capital (e.g., IPOs, Rights Issues).
• Secondary Market: Where already-issued securities are bought and sold among investors (e.g., trading on the Nepal Stock Exchange - NEPSE).

2. Major Functions of Capital Market:

1. Facilitating Fixed Capital Formation: Transforms short-term liquid household savings into long-term illiquid capital investments in infrastructure, manufacturing, and national utilities.
2. Providing Exit Liquidity: Assures primary equity investors that they can readily liquidate their investment holdings at prevailing fair market prices.
3. Real-Time Price Discovery: Continuous competitive bidding on the stock exchange reflects the fair economic value and earnings potential of listed firms.
4. Optimal Allocation of Scarce National Resources: High-performing, productive companies attract cheaper equity and debt capital, while underperforming firms are disciplined by lower valuations.
5. Democratization of Corporate Wealth: Enables everyday retail citizens to become fractional owners of prominent commercial enterprises, participating in national economic expansion.

Role of Investment Bankers (Merchant Bankers) in Nepal

In Nepal, investment banking functions are legally classified and operated by Merchant Bankers licensed and regulated by the Securities Board of Nepal (SEBON) under the Securities Businessperson (Merchant Banker) Regulations, 2064. Their primary roles include:

1. Issue Management (IPOs, FPOs & Rights Issues):

   • Structuring capital offerings, drafting prospectuses, determining issue pricing (par value or book building), securing regulatory approval from SEBON, and managing the public subscription process through C-ASBA.

2. Underwriting of Securities:

   • Providing contractual guarantees to issuing companies that if the public does not fully subscribe to an offering, the underwriter will purchase the unsubscribed shortfall, eliminating corporate fundraising failure.

3. Portfolio Management Services (PMS):

   • Managing tailored investment portfolios for high-net-worth individuals and corporate clients on discretionary or non-discretionary mandates to optimize risk-adjusted returns.

4. Registrar to Shares (RTS / RTA):

   • Maintaining shareholder registers, processing bonus/dividend distributions, handling rights share allotments, and verifying transfers in coordination with CDSC.

5. Corporate Advisory & Mergers and Acquisitions (M&A):

   • Providing valuation advisory, financial restructuring, and due diligence services for corporate amalgamations, especially amidst regulatory capital increases in banking and insurance.

Step-by-Step Numerical Solution:

Given Data:

• Initial holdings of Fund:
  • 2,000 shares of ABC Company @ Rs 60
  • 1,000 shares of XYZ Company @ Rs 50
• Fund shares outstanding = 10,000 shares
• Expected prices at year-end:
  • ABC share price = Rs 70
  • XYZ share price = Rs 45

---

(a) Calculation of Current Net Asset Value (NAV):

$$\text{Total Portfolio Market Value}_0 = (2,000 \times 60) + (1,000 \times 50)$$

$$\text{Total Portfolio Market Value}_0 = 120,000 + 50,000 = \text{Rs } 170,000$$

$$\text{NAV}_0 = \frac{\text{Total Assets} - \text{Liabilities}}{\text{Number of Shares Outstanding}} = \frac{170,000 - 0}{10,000} = \mathbf{Rs\ 17.00}$$

---

(b) Calculation of Expected NAV at End of Year:

$$\text{Total Portfolio Market Value}_1 = (2,000 \times 70) + (1,000 \times 45)$$

$$\text{Total Portfolio Market Value}_1 = 140,000 + 45,000 = \text{Rs } 185,000$$

$$\text{Expected NAV}_1 = \frac{185,000}{10,000} = \mathbf{Rs\ 18.50}$$

---

(c) Calculation of Holding Period Return (HPR):

Assuming no interim dividend distribution:

$$\text{HPR} = \frac{\text{Ending NAV} - \text{Beginning NAV}}{\text{Beginning NAV}} = \frac{\text{NAV}_1 - \text{NAV}_0}{\text{NAV}_0}$$

$$\text{HPR} = \frac{18.50 - 17.00}{17.00} = \frac{1.50}{17.00} = 0.088235 = \mathbf{8.82\%}$$

Summary of Results:

• (a) Current NAV = Rs 17.00 per share
• (b) Expected NAV = Rs 18.50 per share
• (c) Holding Period Return = 8.82%

Step-by-Step Actuarial Valuation:

Given Information:

• Face amount of whole life policy ($F$) = Rs 600,000
• Insured current age = 40 years
• Annual mortality rate ($q$) = $1.5\% = 0.015$
• Remaining life expectancy ($n$) = 25 years
• Cost of funds / Discount rate ($k$) = $12\% = 0.12$

---

Interpretation & Valuation Methodologies:

Method 1: Expected Annual Mortality Claim Stream (Standard Group Valuation)

Under standard actuarial assumptions for a portfolio of homogeneous insured lives, the insurer expects an annual death claim payout proportional to the mortality rate:

$$\text{Expected Annual Benefit Payout (PMT)} = \text{Policy Amount} \times \text{Mortality Rate}$$

$$\text{PMT} = 600,000 \times 0.015 = \text{Rs } 9,000 \text{ per year}$$

The present value of these expected benefit payouts across the 25-year life expectancy:

$$\text{PV} = \text{PMT} \times \text{PVIFA}_{12\%, 25}$$

$$\text{PVIFA}_{12\%, 25} = \frac{1 - (1 + 0.12)^{-25}}{0.12} = \frac{1 - (1.12)^{-25}}{0.12}$$

$$(1.12)^{-25} = 0.058823$$

$$\text{PVIFA}_{12\%, 25} = \frac{1 - 0.058823}{0.12} = \frac{0.941177}{0.12} = 7.84314$$

$$\text{PV} = 9,000 \times 7.84314 = \mathbf{Rs\ 70,588.26}$$

---

Method 2: Single Claim Payment at End of Life Expectancy

If the benefit is treated as a deterministic lump-sum payout of Rs 600,000 occurring at the conclusion of 25 years:

$$\text{PV} = \frac{\text{Benefit}}{(1 + k)^n} = \frac{600,000}{(1.12)^{25}} = 600,000 \times 0.058823 = \mathbf{Rs\ 35,294.12}$$

Conclusion:

Under expected annual actuarial claims modeling, the present value of benefits offered by the insurance company is Rs 70,588.26 (or Rs 35,294.12 under lump-sum maturity discounting).

Calculation of Annual Retirement Benefit Payout

Given Formula:

$$\text{Annual Retirement Payout} = 5\% \times \text{Career Average Salary} \times \text{Years of Service}$$

$$\text{Annual Payout} = 0.05 \times \text{Salary} \times \text{Years}$$

---

Scenario Calculations:

1. Scenario 1: 30 Years worked, Career Average Salary = Rs 60,000

   $$\text{Annual Benefit} = 0.05 \times 60,000 \times 30 = \mathbf{Rs\ 90,000 \text{ per year}}$$

2. Scenario 2: 33 Years worked, Career Average Salary = Rs 62,500

   $$\text{Annual Benefit} = 0.05 \times 62,500 \times 33 = \mathbf{Rs\ 103,125 \text{ per year}}$$

3. Scenario 3: 35 Years worked, Career Average Salary = Rs 65,000

   $$\text{Annual Benefit} = 0.05 \times 65,000 \times 35 = \mathbf{Rs\ 113,750 \text{ per year}}$$

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Comparative Summary Table:

+--------------+-----------------------+------------------+-----------------------+
| Scenario     | Years of Service      | Career Avg Salary| Annual Benefit Payout |
+--------------+-----------------------+------------------+-----------------------+
| 1            | 30 Years              | Rs 60,000        | Rs 90,000             |
| 2            | 33 Years              | Rs 62,500        | Rs 103,125            |
| 3            | 35 Years              | Rs 65,000        | Rs 113,750            |
+--------------+-----------------------+------------------+-----------------------+

Comprehensive Analysis of the Financial System and Its Nepalese Components

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1. Concept of the Financial System

A financial system is an integrated institutional framework composed of financial institutions, markets, regulatory authorities, instruments, and legal settlement arrangements that together facilitate the transfer of funds from net savers (surplus spending units) to net borrowers (deficit spending units).

It performs three vital functions:

1. Savings Mobilization: Aggregates granular, liquid savings from millions of households into massive capital pools.
2. Capital Allocation: Channels resources to corporate enterprises yielding the highest risk-adjusted social and economic productivity.
3. Liquidity and Payment Clearing: Ensures rapid, secure settlement of financial promises, contract obligations, and trade liabilities.

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2. Core Components of the Nepalese Financial System

The Nepalese financial system is structured into five interdependent pillars:

                          +-------------------------------------------------------+
                          |             NEPALESE FINANCIAL SYSTEM                 |
                          +-------------------------------------------------------+
                                  |                 |                 |
                   +--------------+    +------------+------------+    +--------------+
                   | Regulators   |    | Institutions            |    | Markets      |
                   +--------------+    +-------------------------+    +--------------+
                   | • NRB        |    | • Class 'A', 'B', 'C','D'|    | • NEPSE      |
                   | • SEBON      |    | • Insurance (Life/Non)  |    | • Money Mkt  |
                   | • Beema      |    | • CIT, EPF, SSF         |    | • Forex Mkt  |
                   |   Pradhikaran|    | • Cooperatives          |    |              |
                   +--------------+    +-------------------------+    +--------------+

A. Regulatory Authorities

1. Nepal Rastra Bank (NRB): The central bank, empowered by the NRB Act 2058 and BAFIA 2073, regulates all bank and financial institutions (BFIs), foreign exchange transactions, and the national payments system.
2. Securities Board of Nepal (SEBON): Regulates capital markets, public issues, stock exchanges, and licensed merchant bankers under the Securities Act 2063.
3. Nepal Insurance Authority (Nepal Beema Pradhikaran): Apex statutory regulator for life, non-life, and reinsurance companies under the Insurance Act 2079.
4. Department of Cooperatives: Regulates thousands of savings and credit cooperatives across Nepal.

B. Financial Institutions (BFIs and Non-BFIs)

• Class ‘A’ Commercial Banks (20 banks): Full-service corporate and retail banking, deposit-taking, industrial loans, and letter of credit (LC) operations.
• Class ‘B’ Development Banks & Class ‘C’ Finance Companies: Regional development and consumer hire-purchase finance.
• Class ‘D’ Microfinance Financial Institutions (MFIs): Collateral-free group lending to rural and underprivileged demographics.
• Specialized Statutory Non-Bank Funds:
  • Employees Provident Fund (EPF / KSK)
  • Citizen Investment Trust (CIT / NLK)
  • Social Security Fund (SSF)

C. Financial Markets

1. Money Market: Short-term wholesale liquidity market utilizing T-Bills, interbank call money, Repo/Reverse Repo, and central bank standing facilities.
2. Capital Market: Long-term equity and debt financing anchored by the Nepal Stock Exchange (NEPSE) as the sole licensed secondary trading floor, supported by CDS and Clearing Ltd.
3. Foreign Exchange (Forex) Market: Pegged NPR/INR trade clearance and foreign convertible currency management.

D. Financial Instruments

• Debt Securities: Government Treasury Bills, Development Bonds, Corporate Debentures, and Municipal Bonds.
• Equity Instruments: Ordinary shares, Rights shares, and Mutual Fund Units.

E. Financial Services & Payment Infrastructure

• High-value wholesale settlement via Real-Time Gross Settlement (RTGS).
• Retail interbank transactions through connectIPS, National Payment Switch (NPS), automated clearing house (NCHL), and digital wallet networks.

Types of Insurance Companies and Present Condition of Insurance Industry in Nepal

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1. Types of Insurance Companies

In accordance with global insurance jurisprudence and Nepal’s Insurance Act, 2079, insurance entities are strictly categorized as follows:

A. Life Insurance Companies

• Focus: Protect against the economic risks of premature death, longevity (outliving financial resources), and physical disability.
• Contract Type: Long-term contracts (typically 10 to 30 years) with a combined savings and protection element.
• Core Products: Endowment policies, Whole Life insurance, Term Life plans, Money-back policies, and Child Education plans.
• Prominent Nepalese Examples: Nepal Life Insurance, National Life Insurance, Life Insurance Corporation (Nepal).

B. Non-Life (General) Insurance Companies

• Focus: Protect tangible property, physical assets, and legal liabilities against accidental perils, natural disasters, and tort claims.
• Contract Type: Short-term annual renewable contracts based strictly on the principle of indemnity.
• Core Products: Fire insurance, Motor vehicle insurance, Marine and cargo insurance, Engineering/construction risk, Agriculture & livestock micro-insurance, and Health insurance.
• Prominent Nepalese Examples: Shikhar Insurance, Sagarmatha Lumbini Insurance, Siddhartha Premier Insurance.

C. Reinsurance Companies

• Focus: Provide insurance to primary insurance companies, absorbing catastrophic portfolio risks and expanding primary underwriting capacity.
• Examples in Nepal: Nepal Reinsurance Company (Nepal Re) and Himalayan Reinsurance Company.

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2. Present Condition of the Insurance Industry in Nepal

The Nepalese insurance market is navigating a transformative restructuring phase driven by regulatory reforms and modernization:

1. New Statutory Governance (Insurance Act 2079):

   • Transformed the erstwhile Beema Samiti into the autonomous Nepal Insurance Authority (Nepal Beema Pradhikaran), granting it enhanced regulatory, supervisory, and enforcement powers akin to Nepal Rastra Bank.

2. Aggressive Paid-Up Capital Hike & M&A Wave:

   • The regulator mandated a massive capital increase: Rs 5 Billion for Life insurers and Rs 2.5 Billion for Non-Life insurers.
   • This trigger resulted in a wave of strategic mergers, consolidating more than 40 sub-scale companies down to approximately 14 life and 14 non-life companies, drastically improving solvency margins and underwriting capacity.

3. Insurance Density and Penetration Rate:

   • Insurance penetration (Gross Written Premium as a % of GDP) remains modest at roughly 3.5% to 4%, indicating immense untapped potential.
   • Inclusion of foreign employment insurance has artificially bolstered policy count, while genuine voluntary household coverage continues to expand in urban and semi-urban centers.

4. Micro-Insurance Licensing:

   • To expand outreach to low-income rural populations, the Authority licensed 7 dedicated Micro-Insurance companies (3 life, 4 non-life) focusing on low-premium crop, livestock, and accidental health covers.

5. Key Industry Challenges:

   • Moral Hazard & Fraudulent Claims: Persistent documentation anomalies in agriculture, livestock, and health claims.
   • Reinsurance Disputes: Managing domestic cession mandates versus optimal global risk retrocession.
   • Limited Actuarial Talent: Heavy reliance on external Indian actuary consultants for statutory product pricing and liability valuation.

Comprehensive Bond Valuation and Interest Rate Sensitivity Analysis

---

Given Parameters:

• Par / Face Value of Bond ($M$) = Rs 1,000
• Term to Maturity ($n$) = 7 years
• Annual Coupon Rate = $12\%$
• Annual Coupon Payment ($C$) = $1,000 \times 0.12 = \text{Rs } 120$

---

(a) Calculation of Bond Price at Required Return ($k_d$) = 10%

When the required rate of return is $10\%$, the price of the bond ($P_0$) is:

$$P_0 = C \times \text{PVIFA}_{k_d, n} + M \times \text{PVIF}_{k_d, n}$$

$$\text{PVIFA}_{10\%, 7} = \frac{1 - (1 + 0.10)^{-7}}{0.10} = \frac{1 - (1.10)^{-7}}{0.10} = \frac{1 - 0.513158}{0.10} = 4.86842$$

$$\text{PVIF}_{10\%, 7} = (1.10)^{-7} = 0.513158$$

$$P_0 = (120 \times 4.86842) + (1,000 \times 0.513158)$$

$$P_0 = 584.21 + 513.16 = \mathbf{Rs\ 1,097.37}$$

Finding: Because the coupon rate ($12\%$) exceeds the required rate of return ($10\%$), the bond trades at a premium above par value.

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(b) Calculation of Bond Price when Interest Rates Rise to ($k_d$) = 11%

When the required rate of return rises to $11\%$:

$$\text{PVIFA}_{11\%, 7} = \frac{1 - (1 + 0.11)^{-7}}{0.11} = \frac{1 - (1.11)^{-7}}{0.11} = \frac{1 - 0.481658}{0.11} = 4.71220$$

$$\text{PVIF}_{11\%, 7} = (1.11)^{-7} = 0.481658$$

$$P_0' = (120 \times 4.71220) + (1,000 \times 0.481658)$$

$$P_0' = 565.46 + 481.66 = \mathbf{Rs\ 1,047.12}$$

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(c) Percentage Change in Bond Price

$$\% \Delta P = \frac{P_0' - P_0}{P_0} \times 100\%$$

$$\% \Delta P = \frac{1,047.12 - 1,097.37}{1,097.37} \times 100\% = \frac{-50.25}{1,097.37} \times 100\% = \mathbf{-4.58\%}$$

Finding: The price of the bond declines by 4.58% as required market yields rise from $10\%$ to $11\%$.

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(d) Relationship Between Required Rate of Return and Price of the Bond

1. Fundamental Inverse Relationship: Bond prices and market yields are inversely correlated. When market interest rates (required yields) rise, bond prices fall; conversely, when market interest rates decline, bond prices appreciate.
2. Coupon vs. Yield Dynamic:
   • If $\text{Coupon Rate} > \text{Required Return} \implies \text{Bond trades at a Premium} \ (P_0 > M)$
   • If $\text{Coupon Rate} = \text{Required Return} \implies \text{Bond trades at Par} \ (P_0 = M)$
   • If $\text{Coupon Rate} < \text{Required Return} \implies \text{Bond trades at a Discount} \ (P_0 < M)$
3. Convexity Principle: The price-yield relationship is not linear but convex toward the origin: a given decrease in yields causes a larger price increase than the price decrease caused by an equal increase in yields.

Comprehensive Treasury Bill Auction Allocation and Yield Analysis

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1. Given Auction Specifications:

• Total Treasury Bill Issue = Rs 100 Million
• Non-Competitive Allocation = $15\% \times 100\text{M} = \text{Rs } 15 \text{ Million}$
• Competitive Allocation = $85\% \times 100\text{M} = \text{Rs } 85 \text{ Million}$
• Auction Type: American Auction System (Multiple-price auction where each accepted competitive bidder pays their individual bid price)
• Days to Maturity ($D$) = 91 days
• Par / Face Value = Rs 100 per T-bill

Competitive Bids Submitted:

• Bidder 1: Rs 30 Million at Rs 96
• Bidder 2: Rs 30 Million at Rs 95
• Bidder 3: Rs 20 Million at Rs 94
• Bidder 4: Rs 10 Million at Rs 93 (Total Competitive Bids = Rs 30M + 30M + 20M + 10M = Rs 90 Million)

---

(a) Allocation to Non-Competitive Bidders:

• Quantity of T-bills Received: Non-competitive bidders receive the entire allocated Rs 15 Million.
• Who Receives: Small retail investors, provident funds, charitable institutions, and entities who do not participate in market price bidding.
• Price Paid: In an American auction conducted by central banks (Nepal Rastra Bank), non-competitive bidders pay the Weighted Average Accepted Price of all successful competitive bids.

$$\text{Weighted Average Price} (\bar{P}) = \frac{\sum (\text{Allocated Amount} \times \text{Bid Price})}{\text{Total Competitive Allocation}}$$

Using the competitive allocations derived in part (b):

$$\bar{P} = \frac{(30\text{M} \times 96) + (30\text{M} \times 95) + (20\text{M} \times 94) + (5\text{M} \times 93)}{85\text{M}}$$

$$\bar{P} = \frac{2,880 + 2,850 + 1,880 + 465}{85} = \frac{8,075}{85} = \mathbf{Rs\ 95.00}$$

Result: Non-competitive bidders receive Rs 15 Million face value of T-bills at a uniform price of Rs 95.00 per Rs 100.

---

(b) Allocation to Competitive Bidders:

In an American auction, bids are ranked in descending order of price (highest price / lowest discount first) until the Rs 85 Million quota is exhausted:

1. Bidder 1: Bids Rs 30 Million at Rs 96 $\rightarrow$ Full allocation of Rs 30 Million at Rs 96.00.
2. Bidder 2: Bids Rs 30 Million at Rs 95 $\rightarrow$ Full allocation of Rs 30 Million at Rs 95.00.
3. Bidder 3: Bids Rs 20 Million at Rs 94 $\rightarrow$ Full allocation of Rs 20 Million at Rs 94.00. (Cumulative allocation so far = $30 + 30 + 20 = \text{Rs } 80 \text{ Million}$)
4. Bidder 4: Remaining available quota is $85 - 80 = \text{Rs } 5 \text{ Million}$. Bidder 4 submitted for Rs 10 Million at Rs 93 $\rightarrow$ Partial allocation of Rs 5 Million at Rs 93.00 (Cut-off price = Rs 93.00).

+----------+------------+-----------+----------------------+--------------------+
| Bidder   | Bid Amount | Bid Price | Allocated Amount     | Price Paid         |
+----------+------------+-----------+----------------------+--------------------+
| Bidder 1 | Rs 30M     | Rs 96     | Rs 30 Million        | Rs 96.00           |
| Bidder 2 | Rs 30M     | Rs 95     | Rs 30 Million        | Rs 95.00           |
| Bidder 3 | Rs 20M     | Rs 94     | Rs 20 Million        | Rs 94.00           |
| Bidder 4 | Rs 10M     | Rs 93     | Rs 5 Million (cut-off)| Rs 93.00          |
+----------+------------+-----------+----------------------+--------------------+
| Total    | Rs 90M     |           | Rs 85 Million        |                    |
+----------+------------+-----------+----------------------+--------------------+

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(c) Calculation of Discount Yield and Bond Equivalent Yield for Bidder 1:

• Bid Price ($P$) = Rs 96
• Face Value ($F$) = Rs 100
• Dollar Discount ($D$) = $F - P = 100 - 96 = \text{Rs } 4$
• Days to Maturity ($t$) = 91 days

1. Discount Yield (DY):

$$\text{DY} = \left( \frac{F - P}{F} \right) \times \left( \frac{360}{t} \right)$$

$$\text{DY} = \left( \frac{4}{100} \right) \times \left( \frac{360}{91} \right) = 0.04 \times 3.956044 = 0.158242 = \mathbf{15.82\%}$$

2. Bond Equivalent Yield (BEY / Investment Yield):

$$\text{BEY} = \left( \frac{F - P}{P} \right) \times \left( \frac{365}{t} \right)$$

$$\text{BEY} = \left( \frac{4}{96} \right) \times \left( \frac{365}{91} \right) = 0.041667 \times 4.010989 = 0.167126 = \mathbf{16.71\%}$$

Summary for Bidder 1:

• Discount Yield (DY): 15.82% (calculated on Rs 100 par value, 360-day year basis).
• Bond Equivalent Yield (BEY): 16.71% (calculated on Rs 96 actual purchase cost, 365-day year basis).