BNK 204

Investment Analysis

TU BBA · Semester 7 · BBA curriculum effective from 2021

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Investment Analysis 2025 Board Question Paper

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Tribhuvan University

Faculty of Management

Office of the Dean

2025 AD / Regular Examination

Course: BNK 204 · Investment Analysis

Level: Bachelor of Business Administration (BBA) · Semester 7

Full Marks: 100

Time: 3 hrs.

Candidates are required to give their answers in their own words as far as practicable. The figures in the margin indicate full marks.

Section A

Brief Answer Questions

[10 * 2 = 20]
  1. State the meaning of financial assets with suitable examples.

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    Definition of Primary Market

    The primary market is the capital market segment where corporations and governments issue brand-new financial securities (equity shares, debentures) directly to initial investors through Initial Public Offerings (IPOs), Rights Offerings, or Private Placements to raise long-term capital funds.

  2. What is meant by buying on margin?

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    Definition of Call Option

    A call option is a derivative financial contract that gives the buyer (holder) the right, but not the obligation, to buy an underlying asset at a specified strike price within a specified time period in exchange for paying an upfront premium to the seller (writer).

  3. Write the meaning of short selling.

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    Calculation of Treasury Bill Yield

    Given: F=Rs 100,P=Rs 95,t=91 days,D=FP=Rs 5\text{Given: } F = \text{Rs } 100, \quad P = \text{Rs } 95, \quad t = 91 \text{ days}, \quad D = F - P = \text{Rs } 5
    Bank Discount Yield (rbd)=DF×360t=5100×36091=0.05×3.956=19.78%\text{Bank Discount Yield } (r_{bd}) = \frac{D}{F} \times \frac{360}{t} = \frac{5}{100} \times \frac{360}{91} = 0.05 \times 3.956 = \mathbf{19.78\%}
    Investment Yield / BEY (rbey)=DP×365t=595×36591=0.0526×4.011=21.10%\text{Investment Yield / BEY } (r_{bey}) = \frac{D}{P} \times \frac{365}{t} = \frac{5}{95} \times \frac{365}{91} = 0.0526 \times 4.011 = \mathbf{21.10\%}
  4. Define the term ‘risk’.

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    Open-End vs. Closed-End Mutual Funds

    Feature Open-End Mutual Fund Closed-End Mutual Fund
    Capitalization Variable capitalization; shares continuously bought and redeemed directly with the fund sponsor. Fixed capitalization; fixed number of units issued in an initial offering.
    Trading Mechanism Traded directly at daily Net Asset Value (NAV). Traded between investors on secondary stock exchanges (NEPSE) at market price (at a premium or discount to NAV).
  5. What is efficient frontier?

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    Meaning of Beta Coefficient

    The beta coefficient (β\beta) measures the sensitivity or volatility of an individual security’s returns relative to the movements of the overall market portfolio. A β=1.0\beta = 1.0 indicates market risk; β>1.0\beta > 1.0 indicates aggressive, high-volatility stock; β<1.0\beta < 1.0 indicates defensive stock.

  6. State the meaning of yield to call.

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    Meaning of Intrinsic Value

    Intrinsic value is the true, justified economic worth of a financial security calculated by discounting all expected future cash flows (dividends, interest, liquidation value) at an appropriate risk-adjusted required rate of return, independent of current market fluctuations.

  7. List out the name of any two leading economic indicators.

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    Two Leading Economic Indicators

    1. Stock Market Indices (e.g., NEPSE Index): Equity price trends anticipate corporate earnings and economic shifts 3 to 6 months in advance.
    2. Building Permits and Money Supply (M2) Growth: Accelerating private construction and credit growth signal impending industrial expansion.
  8. Lumbini Sugar Mill has share capital of Rs 1,000,000 with 10,000 shares outstanding, share premium of Rs 500,000 and retained earnings of Rs 1,500,000. Calculation the par value and book value per share.

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    Calculation: Par Value and Book Value per Share (Lumbini Sugar Mill)

    Given: Share Capital=Rs 1,000,000,Shares Outstanding (N)=10,000\text{Given: } \text{Share Capital} = \text{Rs } 1,000,000, \quad \text{Shares Outstanding } (N) = 10,000
    Share Premium=Rs 500,000,Retained Earnings=Rs 1,500,000\text{Share Premium} = \text{Rs } 500,000, \quad \text{Retained Earnings} = \text{Rs } 1,500,000

    1. Par Value per Share:

    Par Value=Share CapitalN=1,000,00010,000=Rs 100.00\text{Par Value} = \frac{\text{Share Capital}}{N} = \frac{1,000,000}{10,000} = \mathbf{\text{Rs } 100.00}

    2. Book Value per Share:

    Total Net Worth=Share Capital+Share Premium+Retained Earnings=1,000,000+500,000+1,500,000=Rs 3,000,000\text{Total Net Worth} = \text{Share Capital} + \text{Share Premium} + \text{Retained Earnings} = 1,000,000 + 500,000 + 1,500,000 = \text{Rs } 3,000,000
    Book Value per Share=Total Net WorthN=3,000,00010,000=Rs 300.00\text{Book Value per Share} = \frac{\text{Total Net Worth}}{N} = \frac{3,000,000}{10,000} = \mathbf{\text{Rs } 300.00}
  9. Beginning price of Himalaya Company’s stock was Rs 200. At the end of year the stock is selling at Rs 250. It paid Rs 20 per share dividend during the year. Calculate holding period return.

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    Calculation: Holding Period Return (Himalaya Company)

    Given: P0=Rs 200,P1=Rs 250,D1=Rs 20\text{Given: } P_0 = \text{Rs } 200, \quad P_1 = \text{Rs } 250, \quad D_1 = \text{Rs } 20
    HPR=D1+(P1P0)P0=20+(250200)200=20+50200=70200=35.00%HPR = \frac{D_1 + (P_1 - P_0)}{P_0} = \frac{20 + (250 - 200)}{200} = \frac{20 + 50}{200} = \frac{70}{200} = \mathbf{35.00\%}
  10. How do you calculate value of a zero coupon bond?

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    How to Calculate the Value of a Zero-Coupon Bond

    A zero-coupon bond pays no periodic coupon interest; its value is the present value of its par value payable at maturity:

    V0=M(1+kd)nV_0 = \frac{M}{(1 + k_d)^n}

    Where:

    • MM = Maturity par value (face value)
    • kdk_d = Required yield to maturity per period
    • nn = Number of years to maturity

Section B

Short Answer Questions : ( Attempt any SIX Questions )

[6 * 5 = 30]
  1. Differentiate between technical and fundamental analysis.

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    Technical Analysis vs. Fundamental Analysis

    Dimension Fundamental Analysis Technical Analysis
    Core Premise A stock’s true value is determined by economic, industry, and company financial fundamentals. Market price and volume patterns reflect all known information; history repeats itself.
    Primary Data Sources Financial statements (P&L, Balance Sheet, Cash Flow), macroeconomic GDP, interest rates, industry trends. Historical price charts, trading volume, moving averages, RSI, and chart patterns (Head and Shoulders).
    Time Horizon Long-term investing (1 to 5+ years). Short-to-medium term active trading (days to months).
    Core Objective Identifying mispriced securities (Underpriced vs. Overpriced). Timing market entry and exit points.
  2. Explain the stages of an industry life cycle.

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    Stages of an Industry Life Cycle (ILC)

    Industries evolve through five sequential stages:

      Sales Volume
           ▲                                 Mature
           │                            ┌──────────────┐
           │                       Rapid│              │   Deceleration /
           │                      Growth│              │      Decline
           │                 ┌──────────┘              └──────────┐
           │      Pioneering │                                    │
           │   ┌─────────────┘                                    ▼
           └───┴───────────────────────────────────────────────────────► Time
    
    1. Pioneering / Introduction Stage: New technology, high R&D costs, low sales volume, heavy losses, high risk of startup bankruptcy.
    2. Rapid Expansion / Growth Stage: Explosive market adoption, accelerating sales revenue, surging profit margins, expansion of production capacity.
    3. Mature Growth Stage: Market saturation begins, growth rate slows to match general GDP growth, intense price competition among survivors.
    4. Stabilization / Maturity Stage: Product standardization, stable cash cows, growth tied strictly to population replacement.
    5. Deceleration / Decline Stage: Technological obsolescence or shifting consumer lifestyles lead to contracting sales, price wars, and exit.
  3. Differentiate between unsystematic risk and systematic risk.

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    Systematic Risk vs. Unsystematic Risk

    Total Risk (σ)=Systematic Risk+Unsystematic Risk\text{Total Risk } (\sigma) = \text{Systematic Risk} + \text{Unsystematic Risk}
    • Systematic Risk (Market Risk):
      • Caused by macroeconomic forces external to the firm: inflation, interest rate hikes, GDP recessions, wars, political instability.
      • Affects all listed companies simultaneously and cannot be eliminated through diversification.
      • Measured by Beta (β\beta).
    • Unsystematic Risk (Firm-Specific / Idiosyncratic Risk):
      • Caused by factors internal to an individual company or industry: labor strikes, management fraud, patent expiration, product recall.
      • Can be completely eliminated by building a well-diversified portfolio of 25–30 uncorrelated stocks.
  4. Nabina Basnet bought 400 shares of ABC Company for Rs 150 per share. One year later, Nabina sold the stock for Rs 210 per share, just after she received a Rs 9 cash dividend from the company. a. What is the total rupee return earned by Nabina for the year? b. What is the rate of return earned by Nabina? c. Separate the rate of return computed in part (b) into the dividend yield and the capital gain. In other words, compute the dividend yield and the capital gain that Nabina earned by holding ABC company for one year.

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    Solution: Nabina Basnet Stock Return Calculations

    Given: N=400 shares,P0=Rs 150,P1=Rs 210,D=Rs 9 per share\text{Given: } N = 400 \text{ shares}, \quad P_0 = \text{Rs } 150, \quad P_1 = \text{Rs } 210, \quad D = \text{Rs } 9 \text{ per share}

    a. Total Rupee Return:

    • Total Initial Investment = 400×150=Rs 60,000400 \times 150 = \text{Rs } 60,000
    • Total Dividend Received = 400×9=Rs 3,600400 \times 9 = \text{Rs } 3,600
    • Capital Gain = 400×(210150)=400×60=Rs 24,000400 \times (210 - 150) = 400 \times 60 = \text{Rs } 24,000
      Total Rupee Return=3,600+24,000=Rs 27,600\text{Total Rupee Return} = 3,600 + 24,000 = \mathbf{\text{Rs } 27,600}

    b. Rate of Return:

    Rate of Return (R)=D+(P1P0)P0=9+(210150)150=9+60150=69150=46.00%\text{Rate of Return } (R) = \frac{D + (P_1 - P_0)}{P_0} = \frac{9 + (210 - 150)}{150} = \frac{9 + 60}{150} = \frac{69}{150} = \mathbf{46.00\%}

    c. Separation into Dividend Yield and Capital Gain Yield:

    Dividend Yield=DP0=9150=6.00%\text{Dividend Yield} = \frac{D}{P_0} = \frac{9}{150} = \mathbf{6.00\%}
    Capital Gain Yield=P1P0P0=60150=40.00%\text{Capital Gain Yield} = \frac{P_1 - P_0}{P_0} = \frac{60}{150} = \mathbf{40.00\%}
    Verification: 6.00%+40.00%=46.00%\text{Verification: } 6.00\% + 40.00\% = 46.00\%
  5. Mega company has beta coefficient 1.8. Current risk-free rate and market rate of return are 6 percent and 14 percent respectively. a. Calculate required rate of return on the stock. b. If average rate of return on Mega’s stock is 20 percent, is it overpriced / underpriced / correctly priced? Why?

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    Solution: Mega Company Stock Valuation Using CAPM

    Given: β=1.8,Rf=6%,Rm=14%,Average Expected Return =20%\text{Given: } \beta = 1.8, \quad R_f = 6\%, \quad R_m = 14\%, \quad \text{Average Expected Return } = 20\%

    a. Required Rate of Return (CAPM):

    k=Rf+β(RmRf)=6%+1.8(14%6%)=6%+1.8(8%)=6%+14.4%=20.40%k = R_f + \beta(R_m - R_f) = 6\% + 1.8(14\% - 6\%) = 6\% + 1.8(8\%) = 6\% + 14.4\% = \mathbf{20.40\%}

    b. Valuation Assessment:

    • Expected Return (20.00%20.00\%) is less than the Required Return (20.40%20.40\%).
    • Conclusion: The stock is overpriced (it plots below the Security Market Line - SML).
    • Reason: Investors are earning less return than what is required to compensate for its high systematic risk (β=1.8\beta = 1.8), meaning the current market price is too high.
  6. A bond has a par value of Rs 1,000, a time to maturity of 10 years, and a coupon rate of 8% with interest paid annually. If the current market price is Rs 800, calculate yield to maturity.

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    Solution: Yield to Maturity (YTM) Calculation

    Given: M=Rs 1,000,P0=Rs 800,n=10 years,Coupon Rate =8%    C=Rs 80\text{Given: } M = \text{Rs } 1,000, \quad P_0 = \text{Rs } 800, \quad n = 10 \text{ years}, \quad \text{Coupon Rate } = 8\% \implies C = \text{Rs } 80

    Using the YTM Approximation Formula:

    YTMC+MP0nM+2P03=80+1000800101000+2(800)3=80+2026003=100866.67=11.54%YTM \approx \frac{C + \frac{M - P_0}{n}}{\frac{M + 2P_0}{3}} = \frac{80 + \frac{1000 - 800}{10}}{\frac{1000 + 2(800)}{3}} = \frac{80 + 20}{\frac{2600}{3}} = \frac{100}{866.67} = \mathbf{11.54\%}

    Since the bond is selling at a discount (P0<MP_0 < M), the YTM (11.54%11.54\%) exceeds the coupon rate (8.00%8.00\%).

  7. The stock of Nepal Corporation is currently selling for Rs 100 per share. Earnings per share in the coming year are expected to be Rs 20. The company has a policy of paying out 50% of its earnings each year in dividends. The rest is retained and invested in projects that earn a 20% rate of return per year. This situation is expected to continue indefinitely. a. Assuming the current market price of the stock reflects its intrinsic value as computed using the constant-growth DDM, what rate of return do Nepal’s investors require? b. By how much does its value exceed what it would be if all earnings were paid as dividends and nothing were reinvested?

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    Solution: Nepal Corporation Stock Valuation

    Given: P0=Rs 100,EPS1=Rs 20,Payout Ratio (1b)=50%    b=50%,ROE=20%\text{Given: } P_0 = \text{Rs } 100, \quad EPS_1 = \text{Rs } 20, \quad \text{Payout Ratio } (1 - b) = 50\% \implies b = 50\%, \quad ROE = 20\%

    Dividend and Growth Rate:

    D1=EPS1×(1b)=20×0.50=Rs 10.00D_1 = EPS_1 \times (1 - b) = 20 \times 0.50 = \text{Rs } 10.00
    g=b×ROE=0.50×20%=10.00%g = b \times ROE = 0.50 \times 20\% = 10.00\%

    a. Required Rate of Return (kk):

    P0=D1kg    100=10k0.10    k0.10=10100=0.10    k=20.00%P_0 = \frac{D_1}{k - g} \implies 100 = \frac{10}{k - 0.10} \implies k - 0.10 = \frac{10}{100} = 0.10 \implies k = \mathbf{20.00\%}

    b. Excess Value Over Zero-Reinvestment Policy:

    • If 100% of earnings were paid as dividends (b=0,g=0b = 0, g = 0):
      Pno-growth=EPS1k=200.20=Rs 100.00P_{\text{no-growth}} = \frac{EPS_1}{k} = \frac{20}{0.20} = \text{Rs } 100.00
    • Excess Value:
      Excess Value=P0Pno-growth=100100=Rs 0.00\text{Excess Value} = P_0 - P_{\text{no-growth}} = 100 - 100 = \mathbf{\text{Rs } 0.00}
    • Explanation: Because the company’s reinvestment return (ROE=20%ROE = 20\%) exactly equals the investors’ required rate of return (k=20%k = 20\%), retaining earnings generates zero excess economic value (PVGO=0PVGO = 0).

Section C

Long Answer Questions : ( Attempt any THREE Questions )

[3 * 10 = 30]
  1. What do you mean by investment process? Explain the investment process.

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    Meaning and Explanation of the Investment Process

    Meaning of Investment Process

    The investment process is a systematic, sequential decision-making framework through which an investor determines how to allocate capital across diverse financial asset classes to achieve targeted financial goals while managing risk.


    Five Core Steps in the Investment Process

    ┌────────────────────────────────────────────────────────────────────────┐
    │ 1. Set Investment Objectives & Formulate Policy (IPS)                  │
    │    • Quantify return objectives & assess risk tolerance                │
    │    • Specify liquidity, horizon, tax, and legal constraints            │
    ├────────────────────────────────────────────────────────────────────────┤
    │ 2. Conduct Security & Macroeconomic Analysis                           │
    │    • E-I-C Framework (Economic, Industry, and Company analysis)        │
    │    • Valuation modeling (DDM, DCF, P/E multiples)                      │
    ├────────────────────────────────────────────────────────────────────────┤
    │ 3. Portfolio Construction & Asset Allocation                           │
    │    • Strategic asset allocation (Equities vs. Fixed Income vs. Cash)   │
    │    • Markowitz optimization and diversification                        │
    ├────────────────────────────────────────────────────────────────────────┤
    │ 4. Portfolio Revision & Rebalancing                                    │
    │    • Periodic rebalancing back to target asset weights                 │
    │    • Swapping deteriorating assets for promising opportunities         │
    ├────────────────────────────────────────────────────────────────────────┤
    │ 5. Portfolio Performance Evaluation & Attribution                      │
    │    • Risk-adjusted metrics (Sharpe, Treynor, Jensen's Alpha)           │
    │    • Benchmark comparison against market index                         │
    └────────────────────────────────────────────────────────────────────────┘
    
  2. How do you perform industry analysis? Explain.

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    Performing Industry Analysis: Frameworks and Methodologies

    Industry analysis investigates the competitive landscape, growth potential, and regulatory environment of a specific economic sector within the top-down E-I-C investment approach.


    Methodological Framework for Industry Analysis

    1. Industry Life Cycle (ILC) Evaluation

    • Identify the current life stage of the industry: Pioneering, Rapid Expansion, Mature Growth, Stabilization, or Decline.

    2. Michael Porter’s Five Forces Model

    Evaluates competitive intensity and long-term profit potential:

    1. Threat of New Entrants: Capital requirements, regulatory licenses, economies of scale.
    2. Bargaining Power of Buyers: Customer price sensitivity and switching costs.
    3. Bargaining Power of Suppliers: Concentration of raw material vendors.
    4. Threat of Substitute Products: Availability of alternative technologies.
    5. Rivalry Among Existing Competitors: Price wars and marketing intensity.

    3. Macroeconomic Sensitivity Analysis

    • Cyclical Industries: High sensitivity to GDP growth (e.g., automobile, tourism).
    • Defensive Industries: Resilient through recessions (e.g., pharmaceuticals, food staples).
  3. Suppose you buy 100 shares of stock initially selling for Rs 500, borrowing 25% of the necessary funds from your broker; that is, the initial margin on your purchase is 75%. You pay an interest rate of 8% on margin loans. a. How much of your own money do you invest? How much do you borrow from your broker? b. What will be your rate of return for the following stock prices at the end of a one-year holding period? (i) Rs 400, (ii) Rs 500, (iii) Rs 600. c. Repeat part a and b assuming your initial margin was 50%. How does margin affect the risk and return of your position?

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    Solution: Margin Trading and Leverage Analysis

    Given: 100 shares at P0=Rs 500    Total Purchase Value=Rs 50,000\text{Given: } 100 \text{ shares at } P_0 = \text{Rs } 500 \implies \text{Total Purchase Value} = \text{Rs } 50,000
    Margin Loan Interest Rate=8%\text{Margin Loan Interest Rate} = 8\%

    a. Initial Margin 75%:

    • Own Money Invested (Equity): 50,000×0.75=Rs 37,50050,000 \times 0.75 = \mathbf{\text{Rs } 37,500}
    • Borrowed from Broker (Loan): 50,000×0.25=Rs 12,50050,000 \times 0.25 = \mathbf{\text{Rs } 12,500}
    • Annual Loan Interest Paid: 12,500×0.08=Rs 1,00012,500 \times 0.08 = \text{Rs } 1,000

    b. Rates of Return at End of 1 Year:

    Net Profit=Sale ProceedsInitial CostInterest=(100×P1)50,0001,000\text{Net Profit} = \text{Sale Proceeds} - \text{Initial Cost} - \text{Interest} = (100 \times P_1) - 50,000 - 1,000
    Rate of Return on Equity (R)=Net Profit37,500\text{Rate of Return on Equity } (R) = \frac{\text{Net Profit}}{37,500}
    1. At P1=Rs 400P_1 = \text{Rs } 400:
      Net Profit=40,00050,0001,000=Rs 11,000    R=11,00037,500=29.33%\text{Net Profit} = 40,000 - 50,000 - 1,000 = -\text{Rs } 11,000 \implies R = \frac{-11,000}{37,500} = \mathbf{-29.33\%}
    2. At P1=Rs 500P_1 = \text{Rs } 500:
      Net Profit=50,00050,0001,000=Rs 1,000    R=1,00037,500=2.67%\text{Net Profit} = 50,000 - 50,000 - 1,000 = -\text{Rs } 1,000 \implies R = \frac{-1,000}{37,500} = \mathbf{-2.67\%}
    3. At P1=Rs 600P_1 = \text{Rs } 600:
      Net Profit=60,00050,0001,000=+Rs 9,000    R=9,00037,500=+24.00%\text{Net Profit} = 60,000 - 50,000 - 1,000 = +\text{Rs } 9,000 \implies R = \frac{9,000}{37,500} = \mathbf{+24.00\%}

    c. Assuming Initial Margin was 50%:

    • Own Equity: 50,000×0.50=Rs 25,00050,000 \times 0.50 = \mathbf{\text{Rs } 25,000}
    • Loan Borrowed: 50,000×0.50=Rs 25,00050,000 \times 0.50 = \mathbf{\text{Rs } 25,000}
    • Annual Interest: 25,000×0.08=Rs 2,00025,000 \times 0.08 = \text{Rs } 2,000
    • Returns:
      • At P1=400P_1 = 400: Net Profit=10,0002,000=12,000    R=12,00025,000=48.00%\text{Net Profit} = -10,000 - 2,000 = -12,000 \implies R = \frac{-12,000}{25,000} = \mathbf{-48.00\%}
      • At P1=500P_1 = 500: Net Profit=02,000=2,000    R=2,00025,000=8.00%\text{Net Profit} = 0 - 2,000 = -2,000 \implies R = \frac{-2,000}{25,000} = \mathbf{-8.00\%}
      • At P1=600P_1 = 600: Net Profit=10,0002,000=+8,000    R=8,00025,000=+32.00%\text{Net Profit} = 10,000 - 2,000 = +8,000 \implies R = \frac{8,000}{25,000} = \mathbf{+32.00\%}
    • Conclusion on Margin: Margin acts as a two-edged financial lever: it magnifies potential gains in rising markets (+32%+32\% vs +24%+24\%), but severely magnifies losses in falling markets (48%-48\% vs 29.33%-29.33\%).
  4. National Stock Exchange has been recently established. Only three stocks have been listed in National Stock Exchange. Consider the following information of listed companies and their respective closing prices:

    Stock No. of Shares Day 1 Price Day 2 Price Day 3 Price
    A 2000 Rs 400 Rs 500 Rs 600
    B 3000 200 220 240
    C 4000 1600 1600 1800

    a. Calculate the market index for date 1, date 2, and date 3 if the National Stock Exchange uses Price Weighted method and compute the percentage change in the index on day 2 and day 3. b. Calculate the value weighted index for date 2, and 3. Assume the value weighted index on date 1 is 100 and compute the percentage change in the index on day 2 and day 3. c. How do you adjust the effect of stock split in price weighted and value weighted index? Illustrate.

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    Solution: National Stock Exchange Index Calculations

    StockShares (Q)Day 1 (P1)Day 2 (P2)Day 3 (P3)A2,000Rs 400Rs 500Rs 600B3,000200220240C4,0001,6001,6001,800\begin{array}{lcccc} \hline \text{Stock} & \text{Shares } (Q) & \text{Day 1 } (P_1) & \text{Day 2 } (P_2) & \text{Day 3 } (P_3) \\ \hline A & 2,000 & \text{Rs } 400 & \text{Rs } 500 & \text{Rs } 600 \\ B & 3,000 & 200 & 220 & 240 \\ C & 4,000 & 1,600 & 1,600 & 1,800 \\ \hline \end{array}

    a. Price-Weighted Index (Divisor d=3d = 3):

    • Day 1 Index: I1=400+200+16003=22003=733.33I_1 = \frac{400 + 200 + 1600}{3} = \frac{2200}{3} = \mathbf{733.33}
    • Day 2 Index: I2=500+220+16003=23203=773.33I_2 = \frac{500 + 220 + 1600}{3} = \frac{2320}{3} = \mathbf{773.33}
      %Δ Day 2=773.33733.33733.33=+5.45%\% \Delta \text{ Day 2} = \frac{773.33 - 733.33}{733.33} = \mathbf{+5.45\%}
    • Day 3 Index: I3=600+240+18003=26403=880.00I_3 = \frac{600 + 240 + 1800}{3} = \frac{2640}{3} = \mathbf{880.00}
      %Δ Day 3=880.00773.33773.33=+13.79%\% \Delta \text{ Day 3} = \frac{880.00 - 773.33}{773.33} = \mathbf{+13.79\%}

    b. Value-Weighted Index (Base Day 1 = 100):

    • Day 1 Mkt Cap: (2000×400)+(3000×200)+(4000×1600)=800k+600k+6.4M=Rs 7.80 Million(2000 \times 400) + (3000 \times 200) + (4000 \times 1600) = 800k + 600k + 6.4M = \text{Rs } 7.80 \text{ Million}
    • Day 2 Mkt Cap: (2000×500)+(3000×220)+(4000×1600)=1.0M+660k+6.4M=Rs 8.06 Million(2000 \times 500) + (3000 \times 220) + (4000 \times 1600) = 1.0M + 660k + 6.4M = \text{Rs } 8.06 \text{ Million}
      I2=8.067.80×100=103.33    %Δ=+3.33%I_2 = \frac{8.06}{7.80} \times 100 = \mathbf{103.33} \implies \% \Delta = \mathbf{+3.33\%}
    • Day 3 Mkt Cap: (2000×600)+(3000×240)+(4000×1800)=1.2M+720k+7.2M=Rs 9.12 Million(2000 \times 600) + (3000 \times 240) + (4000 \times 1800) = 1.2M + 720k + 7.2M = \text{Rs } 9.12 \text{ Million}
      I3=9.127.80×100=116.92    %Δ Day 3=116.92103.33103.33=+13.15%I_3 = \frac{9.12}{7.80} \times 100 = \mathbf{116.92} \implies \% \Delta \text{ Day 3} = \frac{116.92 - 103.33}{103.33} = \mathbf{+13.15\%}

    c. Adjusting for Stock Splits:

    • In Value-Weighted Index: No adjustment is necessary. A 2-for-1 split doubles the number of shares while halving the price per share, leaving total market capitalization (P×QP \times Q) unchanged.
    • In Price-Weighted Index: The divisor must be adjusted. If Stock C splits 2-for-1 on Day 2, its price falls from Rs 1,600 to Rs 800. To prevent the index from artificially dropping:
      dnew=Pafter-splitIndex Value Before Split=500+220+800773.33=1520773.33=1.965d_{\text{new}} = \frac{\sum P_{\text{after-split}}}{\text{Index Value Before Split}} = \frac{500 + 220 + 800}{773.33} = \frac{1520}{773.33} = 1.965

Section D

Comprehensive Answer / Case / Situation Analysis Questions

[20]
  1. Read the following information carefully and answer the questions that follow: Ramhari is an employee of commercial bank has just got retirement fund from his bank. He received Rs 10 million for investment in stock portfolio. Observing the current situation of stock market and possible increase in Nepalese market he has shown interest to investing in stocks listed in Nepal Stock Exchange. He asked your advice for selecting a stock or a portfolio of stocks. For that purpose, you have selected, among many stocks, A and B. The amount of investment, returns and risks of Stock A and B are given below:

    Stock Amount of investment Expected returns Standard deviation of returns
    A Rs 9 million 10% 5%
    B Rs 1 million 15 10

    a. Calculate expected return and risk of the investor’s portfolio consisting of Stock A and Stock B if correlation between Stock A and Stock B is – 0.50. Is the portfolio less or more risky than individual investments (i.e. investment in Stock A or Stock B separately)? b. Assume that the investor is willing to reduce the risk by changing proportion between Stock A and Stock B. Calculate how much should the investor investment in Stock A and Stock B? Also calculate portfolio return and risk of such portfolio. c. Ramhari wanted to invest Rs 5 million on government securities that earns 5 percent return and the remainder in the portfolio constructed in part (a). What will be the risk and return of the new complete portfolio? d. Construct an optimal risky portfolio (combination of Stock A, B and government securities) and its expected return and risk.

    [20]
    View model solution

    Comprehensive Financial Ratio Analysis — Jagadamba Trading Concern:

    Given Forecasted 2025E Financial Statement Data:

    • Balance Sheet Items (2025E):
      • Cash = Rs 14,000; Short-term investments = Rs 71,632; AR = Rs 878,000; Inventories = Rs 1,716,480
      • Total Current Assets (CACA) = Rs 2,680,112
      • Gross Fixed Assets = Rs 1,220,000; Less Depreciation = Rs 383,160; Net Fixed Assets (NFANFA) = Rs 836,840
      • Total Assets (TATA) = Rs 3,516,952
      • Current Liabilities (CLCL): AP = Rs 359,800 + Notes Payable = Rs 300,000 + Accruals = Rs 380,000 = Rs 1,039,800
      • Long-term Debt = Rs 500,000
      • Total Equity = Common Stock Rs 1,680,936 + Retained Earnings Rs 296,216 = Rs 1,977,152
      • Total Liabilities and Equity = Rs 3,516,952
    • Income Statement Items (2025E):
      • Sales = Rs 7,035,600
      • COGS = Rs 5,800,000
      • EBIT = Rs 502,640
      • Interest Expense = Rs 80,000
      • EBT = Rs 422,640; Taxes (40%) = Rs 169,056
      • Net Income (NINI) = Rs 253,584

    Part a: Liquidity Ratios (2025E) and Comparison:

    1. Current Ratio:
      Current Ratio=Current AssetsCurrent Liabilities=Rs 2,680,112Rs 1,039,800=2.58 times\text{Current Ratio} = \frac{\text{Current Assets}}{\text{Current Liabilities}} = \frac{\text{Rs } 2,680,112}{\text{Rs } 1,039,800} = \mathbf{2.58 \text{ times}}
    2. Quick (Acid-Test) Ratio:
      Quick Ratio=Current AssetsInventoriesCurrent Liabilities=2,680,1121,716,4801,039,800=963,6321,039,800=0.93 times\text{Quick Ratio} = \frac{\text{Current Assets} - \text{Inventories}}{\text{Current Liabilities}} = \frac{2,680,112 - 1,716,480}{1,039,800} = \frac{963,632}{1,039,800} = \mathbf{0.93 \text{ times}}

    Comparison & Interpretation:

    • In 2026, Jagadamba was near insolvency with a Current Ratio of 1.51.5 and Quick Ratio of 0.50.5.
    • For 2025E, liquidity shows dramatic recovery: Current Ratio improves to 2.582.58 (approaching the industry standard of 2.72.7) and Quick Ratio rises to 0.930.93 (very close to industry benchmark of 1.01.0). The planned financing substantially relieves short-term pressure.

    Part b: Asset Utilization Ratios (2025E) and Comparison:

    1. Inventory Turnover Ratio:
      Inventory Turnover=SalesInventories=Rs 7,035,600Rs 1,716,480=4.10 times\text{Inventory Turnover} = \frac{\text{Sales}}{\text{Inventories}} = \frac{\text{Rs } 7,035,600}{\text{Rs } 1,716,480} = \mathbf{4.10 \text{ times}}
      (Using COGS: 5,800,0001,716,480=3.38\frac{5,800,000}{1,716,480} = 3.38 times).
    2. Days Sales Outstanding (DSO / ACP) (360 days):
      DSO=Accounts ReceivableSales/360=878,0007,035,600/360=878,00019,543.33=44.93 days45.0 daysDSO = \frac{\text{Accounts Receivable}}{\text{Sales} / 360} = \frac{878,000}{7,035,600 / 360} = \frac{878,000}{19,543.33} = \mathbf{44.93 \text{ days}} \approx \mathbf{45.0 \text{ days}}
      (Using 365 days: 45.645.6 days).
    3. Fixed Assets Turnover Ratio:
      Fixed Assets Turnover=SalesNet Fixed Assets=Rs 7,035,600Rs 836,840=8.41 times\text{Fixed Assets Turnover} = \frac{\text{Sales}}{\text{Net Fixed Assets}} = \frac{\text{Rs } 7,035,600}{\text{Rs } 836,840} = \mathbf{8.41 \text{ times}}
    4. Total Assets Turnover Ratio:
      Total Assets Turnover=SalesTotal Assets=Rs 7,035,600Rs 3,516,952=2.00 times\text{Total Assets Turnover} = \frac{\text{Sales}}{\text{Total Assets}} = \frac{\text{Rs } 7,035,600}{\text{Rs } 3,516,952} = \mathbf{2.00 \text{ times}}

    Comparison & Interpretation:

    • Inventory turnover (4.10×4.10\times) and DSO (45.045.0 days) remain significantly weaker than industry averages (6.1×6.1\times and 32.032.0 days), indicating persistent excess inventory accumulation and lenient credit collection policies.
    • Fixed asset turnover (8.41×8.41\times) surpasses the industry benchmark (7.0×7.0\times), proving high productivity from manufacturing plant and machinery.
    • Total asset turnover (2.00×2.00\times) remains below the industry norm (2.5×2.5\times) due to excessive working capital balances.

    Part c: Financial Leverage Ratios (2025E) and Comparison:

    1. Debt Ratio:
      Debt Ratio=Total LiabilitiesTotal Assets=1,039,800+500,0003,516,952=Rs 1,539,800Rs 3,516,952=43.78%\text{Debt Ratio} = \frac{\text{Total Liabilities}}{\text{Total Assets}} = \frac{1,039,800 + 500,000}{3,516,952} = \frac{\text{Rs } 1,539,800}{\text{Rs } 3,516,952} = \mathbf{43.78\%}
    2. Times Interest Earned (TIE):
      TIE=EBITInterest Expense=Rs 502,640Rs 80,000=6.28 times\text{TIE} = \frac{EBIT}{\text{Interest Expense}} = \frac{\text{Rs } 502,640}{\text{Rs } 80,000} = \mathbf{6.28 \text{ times}}

    Comparison & Interpretation:

    • Jagadamba’s debt ratio drops dramatically from an alarming 80.7%80.7\% in 2026 to 43.8%43.8\% in 2025E, outperforming the industry norm (50.0%50.0\%).
    • Coverage improves remarkably from a precarious 0.1×0.1\times to 6.28×6.28\times, matching the industry average of 6.2×6.2\times and eliminating bankruptcy vulnerability.

    Part d: Profitability Ratios (2025E) and Comparison:

    1. Profit Margin (Net Profit Margin):
      Profit Margin=Net IncomeSales=Rs 253,584Rs 7,035,600=3.60%\text{Profit Margin} = \frac{\text{Net Income}}{\text{Sales}} = \frac{\text{Rs } 253,584}{\text{Rs } 7,035,600} = \mathbf{3.60\%}
    2. Return on Total Assets (ROA):
      ROA=Net IncomeTotal Assets=Rs 253,584Rs 3,516,952=7.21%\text{ROA} = \frac{\text{Net Income}}{\text{Total Assets}} = \frac{\text{Rs } 253,584}{\text{Rs } 3,516,952} = \mathbf{7.21\%}
    3. Return on Equity (ROE):
      ROE=Net IncomeTotal Equity=Rs 253,584Rs 1,977,152=12.83%\text{ROE} = \frac{\text{Net Income}}{\text{Total Equity}} = \frac{\text{Rs } 253,584}{\text{Rs } 1,977,152} = \mathbf{12.83\%}

    Comparison & Interpretation:

    • Profit margin turns positive to 3.60%3.60\%, exactly reaching the industry average (3.6%3.6\%) and recovering from 1.6%-1.6\% in 2026.
    • ROA (7.21%7.21\%) and ROE (12.83%12.83\%) show vast improvement over 2026 losses (3.3%-3.3\% and 17.1%-17.1\%), though they still trail industry benchmarks (9.0%9.0\% and 17.9%17.9\%), largely due to the lower financial leverage and underutilized working capital.

    Consolidated Master Ratio Comparison Table:

    Financial Ratio 2026 Actual 2025 Projected Industry Average Trend / Assessment
    Current Ratio 1.5 2.58 2.7 Greatly improved; sound short-term buffer
    Quick Ratio 0.5 0.93 1.0 Immediate liquidity restored near benchmark
    Inventory Turnover 4.0 4.10 6.1 Below industry; excess stock buildup
    Days Sales Outstanding (DSO) 39.5 days 44.9 days 32.0 days Weakened credit collection; needs tightening
    Fixed Assets Turnover 6.2 8.41 7.0 Superior fixed asset efficiency
    Total Assets Turnover 2.0 2.00 2.5 Sluggish due to excessive current assets
    Debt Ratio 80.7% 43.8% 50.0% Major financial restructuring; safe solvency
    Times Interest Earned (TIE) 0.1 6.28 6.2 Interest coverage fully restored
    Profit Margin -1.6% 3.60% 3.6% Rebounded to industry standard
    Return on Assets (ROA) -3.3% 7.21% 9.0% Strong positive turnaround, room to improve
    Return on Equity (ROE) -17.1% 12.83% 17.9% Significant shareholder recovery

    Part e: Limitations of Ratio Analysis:

    While financial ratio analysis is a powerful diagnostic tool, Roshani Gurung must recognize its core limitations:

    1. Historical Perspective: Ratios rely on past accounting data which may not reflect current market conditions or future technological and regulatory shifts.
    2. Accounting Distortion & Differing Policies: Different firms employ different inventory valuation methods (FIFO vs. Weighted Average) and depreciation schedules (Straight-line vs. Diminishing balance), impeding cross-company comparability.
    3. Seasonal Variations: Year-end balance sheet snapshots can distort working capital ratios for seasonal businesses.
    4. Window Dressing: Management may artificially inflate year-end cash balances or postpone short-term payables to present stronger liquidity metrics.
    5. Inflationary Bias: Inflation distorts balance sheet asset values (historical book values of plant and machinery compared to current replacement costs).
    6. Difficulty in Benchmarking Conglomerates: Finding meaningful industry average benchmarks is difficult for multi-division companies operating across diverse product segments.