FIN 208

Financial Markets & Services

TU BBM · Semester 5 · BBM curriculum effective from 2021

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Financial Markets & Services 2024 Board Question Paper

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Tribhuvan University

Faculty of Management

Office of the Dean

2024 AD / Regular Examination

Course: FIN 208 · Financial Markets & Services

Level: Bachelor of Business Management (BBM) · Semester 5

Full Marks: 100

Time: 3 hrs.

Time: 3 Hrs. | Full Marks: 100 | Pass Marks: 50

Section A

Brief Answer Questions. Attempt ALL questions.

[10 * 1 = 10]
  1. What is financial system?

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    Meaning of Financial System:

    A financial system is a complex, integrated network comprising financial markets, financial institutions/intermediaries, financial instruments, payment mechanisms, and regulatory bodies (such as Nepal Rastra Bank and SEBON).

    Core Economic Function:

    It facilitates the efficient mobilization, pooling, and channeling of idle domestic savings from surplus economic units (households) to deficit economic units (businesses and government) for productive capital investment and economic growth.

  2. Define financial intermediary with an example.

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    Definition of Financial Intermediary with Example:

    A financial intermediary is an institution that acts as a financial conduit between net savers (suppliers of funds) and net borrowers (demanders of funds) by issuing secondary financial claims to savers and purchasing primary claims from borrowers.

    Practical Example:

    A Commercial Bank (e.g., Nabil Bank Limited) collects small, highly liquid savings deposits from thousands of retail households (secondary claims) and aggregates those funds into large-scale, long-term project loans to hydroelectric corporations (primary claims).

  3. State the meaning of the central bank with reference to Nepal Rastra Bank.

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    The Central Bank with Reference to Nepal Rastra Bank (NRB):

    A central bank is the apex statutory monetary and banking regulatory authority of a nation. In Nepal, Nepal Rastra Bank (NRB) was established in 2013 BS under the Nepal Rastra Bank Act, 2058.

    Core Mandate of NRB:

    • Formulation and execution of monetary and foreign exchange policies.
    • Monopoly issuer of legal tender banknotes and coins.
    • Maintaining domestic price stability and a favorable balance of payments.
    • Regulating, licensing, and supervising banking and financial institutions (BFIs).
    • Acting as the banker, economic advisor, and fiscal agent to the Government of Nepal, and serving as the Lender of Last Resort.
  4. Define the capital market and give example of capital market instruments.

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    Definition of Capital Market and Instruments:

    The capital market is the financial market dedicated to the issuance, trading, and allocation of long-term financial instruments with maturities exceeding one year.

    Core Instruments:

    • Equity Instruments: Common stock (ordinary shares) and preference shares.
    • Long-Term Debt Instruments: Corporate debentures/bonds, Government Development Bonds, and municipal debt securities.
  5. What do you mean by a euro-bond?

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    Meaning of Eurobond:

    A Eurobond is an international bond issued by a multinational corporation, sovereign government, or international institution that is denominated in a currency other than the domestic currency of the country or market in which it is issued.

    Key Example:

    A US dollar-denominated bond issued by a Japanese conglomerate and sold to international investors in the London, Frankfurt, or Singapore financial markets. Eurobonds are typically bearer bonds and trade internationally over-the-counter.

  6. How does health insurance differ from life insurance?

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    Differences Between Health Insurance and Life Insurance:

    Basis of Distinction Health Insurance Life Insurance
    1. Nature of Risk Covers medical illness, bodily injury, hospitalization, and surgical treatment expenses. Covers the financial risk of human mortality (death) or survival to policy maturity.
    2. Contract Principle Strictly a Contract of Indemnity; reimburses only the actual medical costs incurred up to the insured limit. Not a Contract of Indemnity; pays a fixed, predetermined lump sum (Sum Assured) upon the insured event.
    3. Policy Tenor Typically an annual short-term renewable policy (1 year). Long-term investment and protection contract (ranging from 10 to 30+ years).
  7. Write notes about Citizen Investment Trust (CIT).

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    Citizen Investment Trust (CIT — Nagarik Lagani Kosh):

    Established under the Citizen Investment Trust Act, 2047, CIT is a premier statutory contractual financial institution and institutional investor in Nepal.

    Major Operational Functions:

    • Operates voluntary pension, provident fund, and gratuity schemes for civil servants, corporate staff, and the general public.
    • Manages mutual funds, unit trusts, and investor savings plans.
    • Serves as an institutional underwriter and debenture trustee in the Nepalese primary capital market.
  8. You can buy commercial paper of a major public corporation for Rs 380,000. The paper has a face value of Rs 400,000 and is 180 days from maturity. Calculate the bond equivalent yield on the commercial paper.

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    Calculation of Bond Equivalent Yield (BEY) on Commercial Paper:

    Given Data:

    • Purchase Price (P) = Rs 380,000
    • Face Value (F) = Rs 400,000
    • Days to Maturity (D) = 180 days

    Formula:

    Bond Equivalent Yield (BEY)=FPP×365D\text{Bond Equivalent Yield (BEY)} = \frac{F - P}{P} \times \frac{365}{D}
    BEY=400,000380,000380,000×365180=20,000380,000×2.02778=0.052632×2.02778=10.67%\text{BEY} = \frac{400,000 - 380,000}{380,000} \times \frac{365}{180} = \frac{20,000}{380,000} \times 2.02778 = 0.052632 \times 2.02778 = \mathbf{10.67\%}

    (Using a 360-day year: 0.052632×360180=10.53%0.052632 \times \frac{360}{180} = \mathbf{10.53\%}).

  9. A Rs 1,000 bond is selling for Rs 900 and paying an interest payment of Rs 100 per year. Calculate the current yield.

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    Calculation of Current Yield:

    Given Data:

    • Par Face Value = Rs 1,000
    • Current Market Price (P0) = Rs 900
    • Annual Coupon Interest (I) = Rs 100

    Formula:

    Current Yield=Annual Coupon InterestCurrent Market Price×100%\text{Current Yield} = \frac{\text{Annual Coupon Interest}}{\text{Current Market Price}} \times 100\%
    Current Yield=Rs 100Rs 900×100%=11.11%\text{Current Yield} = \frac{\text{Rs } 100}{\text{Rs } 900} \times 100\% = \mathbf{11.11\%}
  10. Suppose an employee of Government of Nepal was employed on Kartik 2, 2056 B.S. and decided to retire on Kartik 2, 2081 B.S. His/her last salary was 35,500 per month at the time of retirement. How much monthly pension will he/she receive up on retirement?

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    Computation of Monthly Pension for Retired Government Employee:

    1. Calculation of Total Service Period:

    • Date of Appointment: Kartik 2, 2056 B.S.
    • Date of Retirement: Kartik 2, 2081 B.S.
    • Total Service Tenure = 20812056=25 Years2081 - 2056 = \mathbf{25\text{ Years}}
    • Last Monthly Salary = Rs 35,500

    2. Statutory Pension Formula (Nepal Civil Service Regulations):

    Monthly Pension Amount=Total Service Period (Years)×Last Monthly Salary50\text{Monthly Pension Amount} = \frac{\text{Total Service Period (Years)} \times \text{Last Monthly Salary}}{50}
    Monthly Pension=25×Rs 35,50050=Rs 887,50050=Rs 17,750 per month\text{Monthly Pension} = \frac{25 \times \text{Rs } 35,500}{50} = \frac{\text{Rs } 887,500}{50} = \mathbf{\text{Rs } 17,750\text{ per month}}

Section B

Short Answer Questions. Attempt any FIVE questions.

[5 * 6 = 30]
  1. Explain the concept and functions of financial markets.

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    Concept and Functions of Financial Markets:

    1. Concept of Financial Markets

    A financial market is an institutional mechanism and physical/digital arena that facilitates the exchange of financial assets, funds, and contracts (stocks, bonds, currencies, commodities) between buyers and sellers under transparent pricing rules.


    2. Primary Functions of Financial Markets:

    1. Mobilization and Allocation of Savings:
      • Aggregates fragmented surplus household savings and channels them directly into productive commercial and industrial ventures.
    2. Price Discovery Mechanism:
      • Establishes transparent equilibrium prices for financial assets through the continuous interaction of demand and supply forces.
    3. Liquidity Provision:
      • Provides ready secondary trading platforms where investors can instantly convert securities into cash with minimal price volatility.
    4. Reduction in Search and Transaction Costs:
      • Eliminates prohibitive individual search and information costs by providing centralized trading venues and standardized disclosure information.
    5. Risk Sharing and Diversification:
      • Enables businesses and individuals to hedge risks and reallocate investment exposure across diversified asset classes.
  2. What do you mean by monetary policy? Describe the objectives of the monetary policy.

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    Concept and Objectives of Monetary Policy:

    1. Concept of Monetary Policy

    Monetary policy is the macroeconomic regulatory policy formulated and executed by a central bank (such as Nepal Rastra Bank) to control and regulate the total supply of money, interest rate levels, and credit availability in an economy to achieve sustainable macroeconomic goals.


    2. Core Objectives of Monetary Policy:

    1. Price Stability (Controlling Inflation):
      • Anchors domestic consumer inflation within manageable single-digit boundaries by absorbing excess liquidity during inflationary shocks.
    2. Attaining High and Sustainable Economic Growth:
      • Ensures adequate bank credit flows to productive sectors (hydropower, tourism, agriculture, manufacturing) to spur industrialization and job creation.
    3. External Sector and Exchange Rate Stability:
      • Maintains adequate foreign exchange reserves and preserves the stability of the exchange rate (such as the currency peg between the Nepalese Rupee and the Indian Rupee).
    4. Financial System Stability:
      • Regulates systemic liquidity to prevent banking runs, insolvencies, and non-performing loan spikes, fostering public trust in depository institutions.
  3. Write a short account about the CDS and Clearing Limited with its four functions.

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    CDS and Clearing Limited (CDSC) and its Four Functions:

    1. Overview of CDSC

    CDS and Clearing Limited (CDSC) was established in 2010 as a wholly owned subsidiary of the Nepal Stock Exchange (NEPSE) under the Securities Act, 2063. It operates as the sole Central Depository of securities in Nepal, revolutionizing the capital market from physical paper certificates to computerized electronic scrips.


    2. Four Major Functions of CDSC:

    1. Electronic Depository Services (Demat Management):
      • Converts physical share certificates into electronic book-entry form (dematerialization) and maintains centralized beneficial ownership accounts via Depository Participants (DPs).
    2. Clearing and Settlement of Secondary Market Trades:
      • Executes electronic clearing and settlement of securities and funds traded on NEPSE within the standardized T+2 rolling settlement cycle.
    3. Administration of Corporate Actions:
      • Automatically credits bonus shares, rights shares, and cash dividends declared by listed companies directly into eligible shareholders’ Demat accounts and linked bank accounts (CASBA system).
    4. Pledge and Transfer Registry:
      • Records electronic pledging and unpledging of shares against bank margin loans and registers transfers of ownership resulting from inheritance, family court partitions, or auction sales.
  4. Describe the major money market instruments available in Nepal.

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    Major Money Market Instruments in Nepal:

    The money market is the wholesale market for short-term, highly liquid, low-risk debt instruments with maturities of one year or less:

    1. Treasury Bills (T-Bills):
      • Short-term sovereign promissory notes issued by Nepal Rastra Bank on behalf of the Government of Nepal to finance short-term fiscal deficits. Issued through Dutch auctions in tenors of 28 days, 91 days, 182 days, and 364 days at a discount to face value.
    2. Interbank Call Money:
      • Very short-term loans (ranging from overnight to 7 days) negotiated among commercial banks to manage daily reserve deficits and statutory Cash Reserve Ratios (CRR).
    3. Repurchase Agreements (Repos) and Reverse Repos:
      • Short-term liquidity injection (Repo) and liquidity absorption (Reverse Repo) tools utilized by NRB under the Interest Rate Corridor (IRC) framework.
    4. Standing Liquidity Facility (SLF):
      • Short-term borrowing window provided by NRB to commercial banks against government securities to resolve temporary liquidity stresses.
    5. Certificates of Deposit (CDs) and Commercial Paper:
      • Negotiable promissory notes issued by banks and highly rated corporations to fund seasonal working capital needs.
  5. Differentiate between open-end fund and closed end fund.

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    Differences Between Open-End Funds and Closed-End Funds:

    Feature Open-End Mutual Fund Closed-End Mutual Fund
    1. Capital Structure Variable Capitalization: Continuously issues new units and cancels redeemed units as investors enter or exit. Fixed Capitalization: Issues a fixed number of units during an Initial Public Offering (IPO); no new units created thereafter.
    2. Purchase and Redemption Transacted directly with the Asset Management Company (AMC) at the prevailing Net Asset Value (NAV). Traded between investors on the secondary stock exchange (NEPSE) like ordinary corporate equities.
    3. Pricing Mechanism Always bought and sold at exact daily Net Asset Value (NAV) (plus/minus entry or exit loads). Price determined by secondary market demand and supply; frequently trades at a discount or premium to NAV.
    4. Maturity / Lifespan Perpetual Lifespan: Has no fixed maturity date; continues indefinitely. Fixed Tenor: Operates for a predetermined period (typically 5, 7, or 10 years), after which the fund is liquidated.
    5. Nepalese Examples NIBL Sahabhagita Fund, Siddhartha Systematic Investment Scheme. Nabil Balanced Fund, Global IME Samunnat Scheme.
  6. Suppose Fewa Life Insurance Company, a hypothetical insurance company has a policy amount of Rs 600,000 for each policy holder. The one year survival probability for each policyholder is 99 percent i.e. (p = 0.99), and there are 1,000 policies (n = 1,000). Thus the life insurance company has 1,000 independent and identical policies, each with a 1 percent probability of paying Rs 600,000. For simplicity assume that the insurance company has no other income or expenses. If each policy pays a premium of Rs 9,000. You are required to compute: a. Expected net revenue per policy. b. Total expected net revenue. c. Standard deviation for single life insurance policy. d. Standard deviation of the entire portfolio.

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    Actuarial Risk and Return Analysis for Fewa Life Insurance Company:

    1. Given Parameters:

    • Number of Independent Policies (nn) = 1,000
    • Policy Face Value (Death Claim) = Rs 600,000
    • Annual Premium Received per Policy = Rs 9,000
    • Probability of Survival (pp) = 0.99 (99%)
    • Probability of Death Claim (q=1pq = 1 - p) = 0.01 (1%)

    Part (a): Expected Net Revenue per Policy (E(R)E(R))

    Expected Claim Payout per policy=q×Policy Amount=0.01×600,000=Rs 6,000\text{Expected Claim Payout per policy} = q \times \text{Policy Amount} = 0.01 \times 600,000 = \text{Rs } 6,000
    E(R)=PremiumExpected Claim=9,0006,000=Rs 3,000 per policyE(R) = \text{Premium} - \text{Expected Claim} = 9,000 - 6,000 = \mathbf{\text{Rs } 3,000\text{ per policy}}

    Part (b): Total Expected Net Revenue for Entire Portfolio

    Total Expected Net Revenue=n×E(R)=1,000×Rs 3,000=Rs 3,000,000\text{Total Expected Net Revenue} = n \times E(R) = 1,000 \times \text{Rs } 3,000 = \mathbf{\text{Rs } 3,000,000}

    Part (c): Standard Deviation for a Single Life Insurance Policy (σ\sigma)

    For a single policy, outcomes are:

    • If Client Survives (Prob 0.99): Net Cash Flow = +9,000+9,000 (Deviation from mean: 9,0003,000=+6,0009,000 - 3,000 = +6,000)
    • If Client Dies (Prob 0.01): Net Cash Flow = 9,000600,000=591,0009,000 - 600,000 = -591,000 (Deviation: 591,0003,000=594,000-591,000 - 3,000 = -594,000)
    σ2=[0.99×(6,000)2]+[0.01×(594,000)2]=[0.99×36,000,000]+[0.01×352,836,000,000]\sigma^2 = [0.99 \times (6,000)^2] + [0.01 \times (-594,000)^2] = [0.99 \times 36,000,000] + [0.01 \times 352,836,000,000]
    σ2=35,640,000+3,528,360,000=3,564,000,000\sigma^2 = 35,640,000 + 3,528,360,000 = 3,564,000,000
    σ=3,564,000,000=Rs 59,699.25\sigma = \sqrt{3,564,000,000} = \mathbf{\text{Rs } 59,699.25}

    Part (d): Standard Deviation of the Entire Portfolio (σPortfolio\sigma_{\text{Portfolio}})

    Since the 1,000 policies are independent and identically distributed:

    σPortfolio=n×σ=1,000×59,699.25=31.622777×59,699.25=Rs 1,887,855.93\sigma_{\text{Portfolio}} = \sqrt{n} \times \sigma = \sqrt{1,000} \times 59,699.25 = 31.622777 \times 59,699.25 = \mathbf{\text{Rs } 1,887,855.93}

    (Note on Law of Large Numbers: Standard deviation per policy drops from Rs 59,699.25 to 1,887,855.931,000=Rs 1,887.86\frac{1,887,855.93}{1,000} = \mathbf{\text{Rs } 1,887.86}, demonstrating how pooling eliminates idiosyncratic risk).

Section C

Comprehensive Answer / Case Study Questions.

[2 * 10 = 20]
  1. You have purchased a bond that matures in 5 years. The bond has a face value of Rs 1,000 and 10 percent annual coupon. The bond has a current yield of 9 percent. What is the bond’s approximate yield to maturity (AYTM)?

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    Computation of Approximate Yield to Maturity (AYTM):

    1. Given Data:

    • Par Face Value (M) = Rs 1,000
    • Years to Maturity (n) = 5 years
    • Annual Coupon Rate = 10%
      Annual Coupon Payment (I)=10%×Rs 1,000=Rs 100\text{Annual Coupon Payment (I)} = 10\% \times \text{Rs } 1,000 = \mathbf{\text{Rs } 100}
    • Current Yield (CY) = 9% = 0.09

    2. Determine Current Market Price (P0):

    Current Yield=IP0    0.09=100P0    P0=1000.09=Rs 1,111.11\text{Current Yield} = \frac{I}{P_0} \implies 0.09 = \frac{100}{P_0} \implies P_0 = \frac{100}{0.09} = \mathbf{\text{Rs } 1,111.11}

    (The bond sells at a premium because its coupon rate of 10% exceeds its yield).


    3. Approximate Yield to Maturity (AYTM) Formula:

    AYTM=I+MP0nM+P02\text{AYTM} = \frac{I + \frac{M - P_0}{n}}{\frac{M + P_0}{2}}
    AYTM=100+1,0001,111.1151,000+1,111.112=100+(111.115)2,111.112=10022.2221,055.555=77.7781,055.555=7.37%\text{AYTM} = \frac{100 + \frac{1,000 - 1,111.11}{5}}{\frac{1,000 + 1,111.11}{2}} = \frac{100 + \left(\frac{-111.11}{5}\right)}{\frac{2,111.11}{2}} = \frac{100 - 22.222}{1,055.555} = \frac{77.778}{1,055.555} = \mathbf{7.37\%}

    (Alternative formula using weighted average base M+2P03=1,000+2,222.223=1,074.07    77.7781,074.07=7.24%\frac{M + 2P_0}{3} = \frac{1,000 + 2,222.22}{3} = 1,074.07 \implies \frac{77.778}{1,074.07} = \mathbf{7.24\%}).

  2. “Credit rating is not a recommendation to buy, hold or sell but a well-informed opinion made available to the public. Let and analyze influence their investment decision.” In light of this statement, explain the various benefits of credit rating agencies and factors that are considered as assigning credit rating.

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    Critical Evaluation of Credit Rating Agencies (CRAs):

    1. Conceptual Framework

    “Credit rating is not a recommendation to buy, hold or sell, but a well-informed opinion made available to the public.” A credit rating is an independent, objective evaluation of the creditworthiness of a debtor with respect to a specific debt security. It reflects the relative likelihood that the issuer will default on scheduled principal and interest payments.


    2. Key Benefits of Credit Rating Agencies:

    1. For Investors:
      • Mitigates information asymmetry by providing professional credit analysis.
      • Assists in risk-return profiling and portfolio risk management.
    2. For Issuers:
      • Highly rated companies can lower their borrowing costs and issue debt at tighter credit spreads.
      • Broadens access to institutional investors (pension funds, insurance firms) with statutory rating floors.
    3. For Regulators and Financial Markets:
      • Fosters market discipline, transparency, and liquidity in secondary corporate bond markets.

    3. Core Factors Considered When Assigning Credit Ratings:

    1. Business Risk & Market Standing:
      • Industry cyclicality, barriers to entry, market share, and customer concentration.
    2. Financial Risk & Leverage Metrics:
      • Debt-to-Equity ratios, Interest Coverage Ratios (ICR), Debt Service Coverage Ratios (DSCR), and free cash flow generation.
    3. Management Quality & Corporate Governance:
      • Leadership track record, integrity, transparency of accounting disclosures, and ownership structure.
    4. Macroeconomic and Regulatory Environment:
      • Sovereign risk, foreign exchange volatility, inflation trends, and supportive government industrial policies.
  3. Describe about the types of insurance companies. Also highlight the role of Nepal Insurance Authority to regulate the insurance companies in Nepal.

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    Typology of Insurance Companies and the Regulatory Role of Nepal Insurance Authority:

    1. Types of Insurance Companies

    1. Life Insurance Companies:
      • Underwrite policies contingent upon human life, offering term life, whole life, endowment, and annuity plans (e.g., Nepal Life Insurance, National Life Insurance).
    2. Non-Life (General) Insurance Companies:
      • Underwrite contracts of indemnity covering physical assets and liabilities against loss or damage: Property/Fire, Motor, Marine transit, Engineering, and Burglary insurance.
    3. Reinsurance Companies:
      • Insure primary insurance companies against catastrophic cluster claims, absorbing systemic shocks (e.g., Nepal Reinsurance Company Limited, Himalayan Reinsurance).
    4. Micro-Insurance Companies:
      • Specialized underwriters offering low-cost insurance products tailored for low-income rural households and smallholder farmers.

    2. Regulatory Role of the Nepal Insurance Authority (Nepal Bima Pradhikaran):

    Governed under the Insurance Act, 2079, the Authority functions as the apex autonomous regulatory body:

    1. Licensing and Capitalization Enforcement:
      • Prescribes and enforces mandatory minimum paid-up capital requirements (Rs 5 billion for life insurers, Rs 2.5 billion for non-life insurers) to maintain solvency.
    2. Policyholder Protection & Grievance Adjudication:
      • Protects policyholder rights against arbitrary claim repudiations, serving as a quasi-judicial court for claim dispute resolution.
    3. Prudential Supervision & Solvency Monitoring:
      • Enforces risk-based capital (RBC) frameworks, investment guidelines, and premium pricing tariffs.
    4. Market Development and Micro-Insurance Expansion:
      • Mandates commercial insurers to open branches in remote districts and underwrite agriculture and livestock policies.
  4. The central bank purchased government securities for Rs 20 million in July 2024. The required reserve ratio is 8 percent. a. What is the total demand deposit created by the injection of Rs 20 million in the banking system? b. What is the money multiplier? c. Define money multiplier. d. What will be the new level of money supply, if the present level is Rs 1,200 billion? e. What will be the interpretation of money multiplier calculated in ‘b’?

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    Money Multiplier and Central Bank Open Market Operations:

    1. Given Data:

    • Central Bank Open Market Purchase (Reserves Injected, Delta R) = Rs 20 million
    • Required Reserve Ratio (rr) = 8% = 0.08
    • Initial Money Supply = Rs 1,200 billion

    Part (a): Total Demand Deposit Created

    ΔDemand Deposits=ΔRr=Rs 20 million0.08=Rs 250 million\Delta \text{Demand Deposits} = \frac{\Delta R}{r} = \frac{\text{Rs } 20\text{ million}}{0.08} = \mathbf{\text{Rs } 250\text{ million}}

    Part (b): The Money Multiplier (mm)

    m=1r=10.08=12.5m = \frac{1}{r} = \frac{1}{0.08} = \mathbf{12.5}

    Part (c): Definition of Money Multiplier

    The money multiplier is the maximum numerical factor by which the total commercial bank money supply (demand deposits) expands in response to a one-unit injection of fresh monetary reserves by the central bank.


    Part (d): New Level of Money Supply

    Expansion in Money Supply=Rs 250 million=Rs 0.25 billion\text{Expansion in Money Supply} = \text{Rs } 250\text{ million} = \text{Rs } 0.25\text{ billion}
    New Level of Money Supply=1,200 billion+0.25 billion=Rs 1,200.25 billion\text{New Level of Money Supply} = 1,200\text{ billion} + 0.25\text{ billion} = \mathbf{\text{Rs } 1,200.25\text{ billion}}

    Part (e): Interpretation of the Calculated Multiplier (12.5)

    A money multiplier of 12.5 indicates that for every single rupee of fresh bank reserves injected by Nepal Rastra Bank through open market bond purchases, the commercial banking system generates Rs 12.50 of cumulative credit and demand deposits through the fractional reserve banking process.

  5. You are given following information about two mutual funds.

    Nature Fund ABC Fund XYZ
    Closed-end Open-end
    Total assets at the beginning Rs 90 million Rs 55 million
    Total liabilities at the beginning Rs 2 million Rs 1 million
    Number of units at the beginning 8 million 5 million
    Price at the beginning Rs 10 NA
    Price at the end Rs 12 NA
    NAV at the end --- Rs 11
    Cash distributed during the year Rs 1 Rs 0.80

    a. Calculate NAV of each fund at the beginning or the period. b. Calculate HPR for each fund. c. If closed-end fund has brokerage cost is 1% and open-end fund has front-end load fee is 2 percent, calculate rate of return each fund.

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    Mutual Fund Valuation and Holding Period Return (Fund ABC vs. Fund XYZ):

    Part (a): Net Asset Value (NAV) at the Beginning of the Period

    NAV=Total AssetsTotal LiabilitiesNumber of Units Outstanding\text{NAV} = \frac{\text{Total Assets} - \text{Total Liabilities}}{\text{Number of Units Outstanding}}
    1. Fund ABC (Closed-End Fund):

      NAVABC,0=Rs 90 millionRs 2 million8 million units=Rs 88 million8 million=Rs 11.00 per unit\text{NAV}_{\text{ABC}, 0} = \frac{\text{Rs } 90\text{ million} - \text{Rs } 2\text{ million}}{8\text{ million units}} = \frac{\text{Rs } 88\text{ million}}{8\text{ million}} = \mathbf{\text{Rs } 11.00\text{ per unit}}

    2. Fund XYZ (Open-End Fund):

      NAVXYZ,0=Rs 55 millionRs 1 million5 million units=Rs 54 million5 million=Rs 10.80 per unit\text{NAV}_{\text{XYZ}, 0} = \frac{\text{Rs } 55\text{ million} - \text{Rs } 1\text{ million}}{5\text{ million units}} = \frac{\text{Rs } 54\text{ million}}{5\text{ million}} = \mathbf{\text{Rs } 10.80\text{ per unit}}


    Part (b): Holding Period Return (HPR) for Each Fund

    1. Fund ABC (Closed-End): Traded at secondary market price (P0=Rs 10P_0 = \text{Rs } 10, P1=Rs 12P_1 = \text{Rs } 12, Dividend D=Rs 1D = \text{Rs } 1):

      HPRABC=P1P0+DP0=1210+110=310=30.00%\text{HPR}_{\text{ABC}} = \frac{P_1 - P_0 + D}{P_0} = \frac{12 - 10 + 1}{10} = \frac{3}{10} = \mathbf{30.00\%}

    2. Fund XYZ (Open-End): Transacted at Net Asset Value (NAV0=Rs 10.80NAV_0 = \text{Rs } 10.80, NAV1=Rs 11.00NAV_1 = \text{Rs } 11.00, Dividend D=Rs 0.80D = \text{Rs } 0.80):

      HPRXYZ=NAV1NAV0+DNAV0=11.0010.80+0.8010.80=1.0010.80=9.26%\text{HPR}_{\text{XYZ}} = \frac{NAV_1 - NAV_0 + D}{NAV_0} = \frac{11.00 - 10.80 + 0.80}{10.80} = \frac{1.00}{10.80} = \mathbf{9.26\%}


    Part (c): Adjusted Rate of Return Accounting for Transaction Fees

    1. Fund ABC (1% Brokerage Cost on Purchase and Sale):

      • Purchase Cost per unit =10×(1+0.01)=Rs 10.10= 10 \times (1 + 0.01) = \text{Rs } 10.10
      • Net Sale Proceeds per unit =12×(10.01)=Rs 11.88= 12 \times (1 - 0.01) = \text{Rs } 11.88
        ReturnABC=11.8810.10+1.0010.10=2.7810.10=27.52%\text{Return}_{\text{ABC}} = \frac{11.88 - 10.10 + 1.00}{10.10} = \frac{2.78}{10.10} = \mathbf{27.52\%}
    2. Fund XYZ (2% Front-End Load Fee on Purchase):

      • Purchase Cost per unit =10.80×(1+0.02)=Rs 11.016= 10.80 \times (1 + 0.02) = \text{Rs } 11.016
      • Redemption Price per unit =Rs 11.00= \text{Rs } 11.00
        ReturnXYZ=11.0011.016+0.8011.016=0.78411.016=7.12%\text{Return}_{\text{XYZ}} = \frac{11.00 - 11.016 + 0.80}{11.016} = \frac{0.784}{11.016} = \mathbf{7.12\%}
  6. The financial statements for City Bank (CB) are shown below:

    Assets Liabilities and equity
    Cash Rs 450 Demand deposits Rs 5,510
    Demand deposits from other FIs 1,350 Small time deposits 10,800
    Investments 4,050 Jumbo CDs 3,200
    Federal funds sold 2,025 Federal funds purchased 2,250
    15,525 Equity 2,200
    Gross loans (1,125)
    Reserve for loan losses 1,685
    Premises Rs 23,960 Total liabilities / equity Rs 23,960
    Total assets

    Income statement City Bank

    Interest income Rs 2,600
    Interest expense 1,650
    Provision for loan losses 180
    Noninterest income 140
    Noninterest expense 120
    Taxes 90

    The industry average (IA) for ROA is 1%, asset utilization is 10%, net interest margin is 11%, and spread ratio is 2.3%. a. Calculate the rupee value of City bank’s earnings assets. b. Calculate the bank’s ROA and asset utilization ratio. c. Calculate the bank’s spread. d. Calculate the bank’s net interest margin. e. Evaluate the bank’s performance on the basis of calculated ratios. What other factors can be examined to evaluate the bank performance? Explain.

    [10]
    View model solution

    Comprehensive Financial Performance Analysis of City Bank (CB):


    Part (a): Rupee Value of City Bank’s Earning Assets

    Earning assets are interest-generating investments and loans:

    • Demand deposits from other FIs: Rs 1,350
    • Investments: Rs 4,050
    • Federal funds sold: Rs 2,025
    • Gross loans: Rs 15,525
      Total Earning Assets=1,350+4,050+2,025+15,525=Rs 22,950\mathbf{\text{Total Earning Assets}} = 1,350 + 4,050 + 2,025 + 15,525 = \mathbf{\text{Rs } 22,950}

    Part (b): Bank’s ROA and Asset Utilization Ratio

    1. Net Income Calculation:

      • Net Interest Income =2,6001,650=Rs 950= 2,600 - 1,650 = \text{Rs } 950
      • Provision for loan losses =Rs 180= -\text{Rs } 180
      • Non-interest income =+Rs 140= +\text{Rs } 140
      • Non-interest expense =Rs 120= -\text{Rs } 120
      • Taxes =Rs 90= -\text{Rs } 90
        Net Income=950180+14012090=Rs 700\mathbf{\text{Net Income}} = 950 - 180 + 140 - 120 - 90 = \mathbf{\text{Rs } 700}
    2. Return on Assets (ROA):

      ROA=Net IncomeTotal Assets=Rs 700Rs 23,960=2.92%(Industry Average=1.0%)\text{ROA} = \frac{\text{Net Income}}{\text{Total Assets}} = \frac{\text{Rs } 700}{\text{Rs } 23,960} = \mathbf{2.92\%} \quad (\text{Industry Average} = 1.0\%)

    3. Asset Utilization (AU) Ratio:

      AU=Total Operating IncomeTotal Assets=2,600+14023,960=2,74023,960=11.44%(Industry Average=10.0%)\text{AU} = \frac{\text{Total Operating Income}}{\text{Total Assets}} = \frac{2,600 + 140}{23,960} = \frac{2,740}{23,960} = \mathbf{11.44\%} \quad (\text{Industry Average} = 10.0\%)


    Part (c): Bank’s Spread

    1. Average Rate Earned on Earning Assets:
      y=Interest IncomeEarning Assets=2,60022,950=11.329%y = \frac{\text{Interest Income}}{\text{Earning Assets}} = \frac{2,600}{22,950} = 11.329\%
    2. Interest-Bearing Liabilities: Small time deposits (10,800) + Jumbo CDs (3,200) + Fed funds purchased (2,250) =Rs 16,250= \text{Rs } 16,250.
    3. Average Rate Paid on Interest-Bearing Liabilities:
      c=Interest ExpenseInterest-Bearing Liabilities=1,65016,250=10.154%c = \frac{\text{Interest Expense}}{\text{Interest-Bearing Liabilities}} = \frac{1,650}{16,250} = 10.154\%
      Spread=yc=11.329%10.154%=1.18%(Industry Average=2.3%)\mathbf{\text{Spread}} = y - c = 11.329\% - 10.154\% = \mathbf{1.18\%} \quad (\text{Industry Average} = 2.3\%)

    Part (d): Net Interest Margin (NIM)

    NIM=Net Interest IncomeEarning Assets=2,6001,65022,950=95022,950=4.14%(Industry Average=11.0%)\text{NIM} = \frac{\text{Net Interest Income}}{\text{Earning Assets}} = \frac{2,600 - 1,650}{22,950} = \frac{950}{22,950} = \mathbf{4.14\%} \quad (\text{Industry Average} = 11.0\%)

    Part (e): Performance Evaluation & Additional Diagnostic Factors

    • Performance Summary: City Bank outperforms industry peers on overall profitability (ROA of 2.92% vs. 1.0% IA) and Asset Utilization (11.44% vs. 10.0% IA) due to strict non-interest cost discipline. However, its Spread (1.18% vs. 2.3%) and NIM (4.14% vs. 11.0%) are substantially lower than industry norms, indicating elevated funding costs on term deposits and jumbo CDs.
    • Additional Evaluative Dimensions (CAMELS Framework):
      1. Capital Adequacy: Core capital to risk-weighted assets ratio.
      2. Asset Quality: Non-performing loan (NPL) ratio and loan-loss reserve coverage.
      3. Liquidity Risk: Liquid assets to short-term deposit ratio.
      4. Sensitivity to Market Risk: Gap analysis measuring exposure to interest rate fluctuations.