Tribhuvan University
Faculty of Management
Office of the Dean
Official Model Question Paper / Dean's Office Blueprint
Candidates are required to give their answers in their own words as far as practicable. The figures in the margin indicate full marks.
Group 'A'
Brief Answer Questions. Attempt ALL questions.
[10 × 2 = 20]- [2]
Define Investment and contrast it with Speculation on the basis of time horizon and risk.
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Answer: Investment: The commitment of current funds into financial or real assets for a long-term period in anticipation of receiving future cash flows that compensate for time, expected inflation, and risk, based on thorough fundamental analysis. Contrast with Speculation:
- Time Horizon: Investment focuses on medium-to-long-term horizons; speculation seeks quick gains over short-term price fluctuations.
- Risk Profile: Investors take calculated, moderate risk supported by asset value; speculators take high, aggressive risks driven by market rumors or momentum.
- [2]
What is the Security Market Line (SML)? Write its equation.
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Answer: Security Market Line (SML): The graphical representation of the Capital Asset Pricing Model (CAPM) depicting the linear relationship between expected return and systematic risk (measured by Beta,
) for individual assets or portfolios. Equation: Whereis risk-free rate, is expected market return, and is market risk premium. - [2]
Distinguish between Systematic Risk and Unsystematic Risk with one example of each.
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Answer:
- Systematic (Market) Risk: Non-diversifiable risk stemming from macroeconomic factors that impact all securities simultaneously (e.g., nationwide inflation spikes, central bank interest rate hikes, political upheaval).
- Unsystematic (Company-Specific) Risk: Unique, diversifiable risk caused by microeconomic factors specific to an individual firm or industry (e.g., labor strike at a factory, product recall, CEO resignation).
- [2]
Define the Beta Coefficient (
) of a security. What does signify? View model solution
Answer: Beta (
): A standardized measure of a security’s sensitivity or volatility relative to movements in the overall market portfolio: Meaning of
: The stock is 40% more volatile than the market benchmark. If the market index (NEPSE) rises by 10%, the stock is expected to gain 14%; if the market declines by 10%, the stock is expected to fall by 14%. - [2]
What is the Macaulay Duration of a bond?
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Answer: Macaulay Duration: The weighted average term to maturity of the cash flows from a bond, where the weights are the present values of each respective cash flow relative to the total bond price:
It quantifies both the effective maturity and the interest rate price sensitivity of the bond.
- [2]
An equity analyst estimates the following probability distribution for Stock A: Boom (Probability = 0.60, Return = 22%), Recession (Probability = 0.40, Return = -8%). Calculate the Expected Return and Variance.
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Solution:
- Expected Return:
- Variance (
):
- Expected Return:
- [2]
State the three forms of the Efficient Market Hypothesis (EMH) formulated by Eugene Fama.
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Answer:
- Weak Form: Stock prices fully reflect all past trading history and historical price/volume data (Technical analysis cannot generate abnormal returns).
- Semi-Strong Form: Stock prices adjust rapidly to all publicly available information, including financial statements, earnings announcements, and macroeconomic news (Fundamental analysis cannot earn abnormal returns).
- Strong Form: Stock prices reflect all information, public and private/insider information alike (Nobody, even corporate insiders, can earn abnormal returns).
- [2]
Differentiate between an Open-End Mutual Fund and a Closed-End Mutual Fund in Nepal.
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Answer:
- Open-End Mutual Fund: Has no fixed maturity and variable capital; units are bought and sold directly through the fund manager at daily Net Asset Value (NAV).
- Closed-End Mutual Fund: Has a fixed maturity (e.g., 7 or 10 years) and fixed number of units; listed and traded on the stock exchange (NEPSE) between investors, often trading at a discount or premium to NAV.
- [2]
Define Margin Trading and distinguish between Initial Margin and Maintenance Margin.
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Answer: Margin Trading: Buying securities by borrowing a portion of the purchase price from a broker/bank using the purchased securities as collateral.
- Initial Margin: The minimum percentage of equity cash that the investor must deposit upfront at the time of purchasing the stock (e.g., 50%).
- Maintenance Margin: The minimum equity percentage that the investor must maintain in the margin account after purchase before triggering a margin call.
- [2]
What is Technical Analysis? Name any two commonly used technical indicators.
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Answer: Technical Analysis: A security analysis methodology that forecasts future price movements and trends based on historical price charts, trading volume, and market behavioral patterns rather than company intrinsic financials. Two Common Indicators:
- Relative Strength Index (RSI): A momentum oscillator measuring overbought (>70) and oversold (<30) conditions.
- Moving Average Convergence Divergence (MACD): A trend-following momentum indicator displaying relationship between two moving averages.
Group 'B'
Descriptive Answer Questions. Attempt any FIVE questions.
[5 × 10 = 50]- [10]
An investor holds a portfolio of two stocks: Stock A and Stock B. The statistical data are:
- Stock A: Expected Return
, Standard Deviation , Weight . - Stock B: Expected Return
, Standard Deviation , Weight .
Required: (a) Compute the Portfolio Expected Return
. (b) Compute the Portfolio Standard Deviation under three distinct scenarios: 1. Perfect Positive Correlation ( ) 2. Zero Correlation ( ) 3. Perfect Negative Correlation ( ) (c) What fundamental principle of Markowitz Portfolio Theory does this demonstrate? View model solution
Solution: Markowitz Two-Asset Portfolio Analysis
Part (a): Portfolio Expected Return
(Expected return is a linear weighted average unaffected by correlation).
Part (b): Portfolio Standard Deviation
The portfolio variance equation is:
1. Scenario 1:
(Perfect Positive Correlation) (Note: Exactly equal to weighted average:
. No risk diversification). 2. Scenario 2:
(Zero Correlation / Independent) (Portfolio risk drops below both individual stocks’ weighted average and even below Stock A’s individual risk!).
3. Scenario 3:
(Perfect Negative Correlation)
Part (c): Fundamental Markowitz Diversification Principle
This demonstrates that portfolio risk is driven fundamentally by the correlation coefficient (
) between assets, not merely individual asset risks. - When correlation is less than
, diversification eliminates unsystematic risk without sacrificing portfolio expected return. - When correlation reaches
, risk can be virtually eliminated while still achieving a lucrative 16.4% expected return.
- Stock A: Expected Return
- [10]
The risk-free rate of return (
) is 5% and the expected return on the market portfolio ( ) is 13%. You are evaluating three stocks on NEPSE: Stock Beta ( ) Estimated Return ( ) Stock X 0.80 12.0% Stock Y 1.00 13.0% Stock Z 1.40 15.0% Required: (a) Compute the Required Rate of Return for each stock using the CAPM. (b) Calculate Jensen’s Alpha (
) for each stock. (c) State which stocks are Overpriced, Underpriced, or Fairly Priced, and advise an investor whether to buy, hold, or sell. View model solution
Solution: CAPM Security Valuation
Part (a) & (b): Computations under CAPM
Market Risk Premium
. CAPM Required Return: . Jensen’s Alpha: . Stock Beta ( ) Estimated Return ( ) Required Return ( ) Alpha ( ) Valuation Status Investment Decision X 0.80 12.0% Underpriced (Lies above SML) BUY Y 1.00 13.0% Fairly Priced (Lies on SML) HOLD Z 1.40 15.0% Overpriced (Lies below SML) SELL
Part (c): Strategic Evaluation
- Stock X (Alpha = +0.60%): Generates an expected return (12.0%) higher than its required risk-adjusted benchmark (11.4%). Its current price is too low; investors should BUY Stock X.
- Stock Y (Alpha = 0.00%): Accurately priced for its systematic market risk; investors should HOLD.
- Stock Z (Alpha = -1.20%): Offers only 15.0% return while requiring 16.2% for its high systematic risk (
). Its market price is inflated; investors should SELL or short-sell Stock Z.
- [10]
Sanima Bank Ltd. issues a 6-year, Rs. 1,000 par value bond with an 8% coupon rate payable semi-annually. The current market price of the bond is Rs. 950.
Required: (a) Compute the Current Yield of the bond. (b) Compute the Nominal Yield to Maturity (YTM) using the approximation formula. (c) Calculate the Effective Annual Yield (EAY) of the bond.
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Solution: Semi-Annual Bond Valuation
Given:
- Par Value (
): Rs. 1,000 - Annual Coupon Rate: 8%
Annual Coupon - Semi-annual Coupon (
): - Current Market Price (
): Rs. 950 - Maturity (
): 6 years Semi-annual periods ( ) = 12 periods
Part (a): Current Yield
Part (b): Approximate Yield to Maturity (YTM)
For semi-annual payments, let semi-annual yield be
:
Part (c): Effective Annual Yield (EAY)
- Par Value (
- [10]
Explain the Two-Stage (Supernormal) Dividend Discount Model. A growth company recently paid a dividend (
) of Rs. 10 per share. It is projected to experience supernormal growth of 20% per year for the next 3 years, after which the growth rate will settle to a stable 6% indefinitely. The investor’s required rate of return is 14%. Compute the Intrinsic Value of the stock. View model solution
Solution: Two-Stage Dividend Discount Valuation
Given:
- Current Dividend (
): Rs. 10.00 - Supernormal Growth Rate (
): 20% (for Years 1 to 3) - Stable Long-term Growth Rate (
): 6% (from Year 4 onward) - Required Rate of Return (
): 14% ( )
Step 1: Forecast Dividends during Supernormal Period (Years 1–3)
Step 2: Present Value of Supernormal Dividends at
$
Step 3: Compute Terminal Stock Price (
) at End of Year 3 First, determine
under stable growth ( ):
Step 4: Present Value of Terminal Price (
)
Step 5: Total Intrinsic Value of the Stock (
) - Current Dividend (
- [10]
Explain the E-I-C (Economy-Industry-Company) Framework of Fundamental Analysis. How should an equity research analyst apply this framework when selecting equities on NEPSE?
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1. The Top-Down E-I-C Valuation Framework
Fundamental analysis follows a hierarchical top-down approach to determine whether an equity is fundamentally sound and fairly valued.
[ 1. Economic Analysis ] - GDP, Remittance, Interest Rates, Inflation | v [ 2. Industry Analysis ] - Industry Life Cycle, Regulations, Porter's Forces | v [ 3. Company Analysis ] - Financial Statements, Management, Governance, Competitive Moat
2. Application to NEPSE Stock Selection
A. Economic Analysis (Macro Environment)
- Monetary Policy & Liquidity: Bank liquidity directly dictates stock market cycles. In Nepal, when the banking sector experiences a liquidity crunch and interbank rates jump to 8%–10%, equity valuations contract. When liquidity is flush and interest rates plunge, equity markets rally.
- Remittance Inflows: Surging worker remittances stimulate household disposable income, driving consumption and capital market retail investments.
B. Industry Analysis (Sector Selection)
- Identify sectors poised to benefit from current economic conditions:
- Hydropower Sector: Benefit from government power purchase agreements (PPA) and export treaties with India.
- Commercial Banks: Mergers reducing overheads, though constrained by asset quality and loan-loss provisions.
- Tourism/Hospitality: Expanding post-crisis tourism arrivals in Pokhara, Chitwan, and Kathmandu.
C. Company Analysis (Firm Selection)
- Financial Statement Ratios: Evaluate Return on Equity (ROE), Net Interest Margin (NIM), Non-Performing Loans (NPL ratio), Price-to-Earnings (P/E) multiple, and Price-to-Book (P/B) ratio.
- Management Integrity & Corporate Governance: Evaluate promoter reputation, transparency in quarterly reporting, and consistency in dividend payout track records.
Conclusion: Buying a great company operating in a collapsing industry during a macroeconomic recession leads to losses. The E-I-C framework ensures that capital is deployed only when economic tailwinds, industry strength, and firm-level superiority align.
- [10]
Explain the three classic Portfolio Performance Evaluation Measures: Sharpe’s Ratio, Treynor’s Ratio, and Jensen’s Alpha. When is Sharpe’s ratio preferred over Treynor’s ratio?
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1. The Three Portfolio Performance Measures
Portfolio Performance Metrics | +-----------------------------+-----------------------------+ | | | Sharpe Ratio Treynor Ratio Jensen's Alpha Total Risk Benchmark (sigma) Systematic Risk Benchmark (beta) Abnormal Return vs SMLA. Sharpe Ratio (
) Measures the excess return earned per unit of Total Risk (standard deviation,
): - Evaluates the steepness of the Capital Allocation Line (CAL).
- Higher Sharpe ratio indicates superior risk-adjusted performance.
B. Treynor Ratio (
) Measures the excess return earned per unit of Systematic Risk (beta,
): - Assumes the portfolio is already completely diversified, so unsystematic risk has been eliminated.
C. Jensen’s Alpha (
) Measures the absolute abnormal return generated by the fund manager over and above the return predicted by the CAPM:
- If
: Manager demonstrated superior stock selection and market timing skill. - If
: Manager underperformed the benchmark.
2. When to Use Sharpe vs. Treynor
- Use Sharpe Ratio: When evaluating an investor’s entire wealth portfolio (or when the portfolio is poorly diversified). Since total risk (
) encompasses both systematic and unsystematic risk, Sharpe rewards proper diversification. - Use Treynor Ratio: When evaluating a specific mutual fund that will be added as a small component to an already well-diversified macro portfolio. Here, unique risk will be diversified away, so only systematic risk (
) matters.
Group 'C'
Analytical Answer Questions. Attempt any TWO questions.
[2 × 15 = 30]- [15]
An institutional investment committee is analyzing two risky assets, Asset X and Asset Y, to construct an optimal portfolio:
- Asset X:
- Asset Y:
- The correlation coefficient between the returns of Asset X and Asset Y is
. - The risk-free borrowing and lending rate (
) is 6%.
Required: (a) Compute the portfolio weights (
and ) that constitute the Minimum Variance Portfolio (MVP) and calculate its expected return and standard deviation. (6 Marks) (b) Calculate the expected return and standard deviation of a portfolio containing 60% in Asset X and 40% in Asset Y. (4 Marks) (c) Define the Capital Allocation Line (CAL) and explain why risk-averse investors select different points along the CAL while investing in the identical optimal risky tangency portfolio. (5 Marks) View model solution
Solution: Markowitz Portfolio Optimization
Part (a): Minimum Variance Portfolio (MVP) Formulation
For a two-asset portfolio, the weight of Asset X that minimizes total portfolio variance is:
Where:
Substitute into the formula:
Expected Return of MVP:
Standard Deviation of MVP:
(Notice that the MVP risk of 11.98% is substantially lower than both Asset X’s 16% and Asset Y’s 24%!).
Part (b): Portfolio with
and - Expected Return:
- Variance & Standard Deviation:
Part (c): Capital Allocation Line (CAL) and Two-Fund Separation
- Definition of CAL: The graphical line created by plotting expected return against risk (standard deviation) for all possible combinations of the risk-free asset (
) and an optimal risky portfolio ( ). - Slope of CAL: Represents the Sharpe Ratio of the optimal tangency portfolio:
- Tobin’s Separation Theorem: The portfolio choice problem separates into two independent decisions:
- Technical Investment Decision: Identifying the unique optimal risky tangency portfolio (
) which maximizes the Sharpe ratio. This portfolio is identical for all investors regardless of risk aversion. - Financing / Personal Preference Decision: Choosing the proportion allocated to risk-free lending versus risky portfolio
based on individual risk tolerance (utility indifference curves). Highly conservative investors hold mostly and little ; aggressive investors borrow at to leverage portfolio .
- Technical Investment Decision: Identifying the unique optimal risky tangency portfolio (
- Asset X:
- [15]
A corporate debenture of Nepal Telecom Ltd. has a face value of Rs. 1,000, carries an annual coupon rate of 9%, and matures in exactly 4 years. The current yield to maturity (YTM) on the debenture is 10%.
Required: (a) Compute the Current Market Price (
) of the debenture. (3 Marks) (b) Calculate the Macaulay Duration ( ) and Modified Duration ( ) of the debenture. (6 Marks) (c) Using the Modified Duration approximation, estimate the Percentage Price Change and New Bond Price if market yields immediately drop by 150 basis points (-1.50%). (3 Marks) (d) Calculate the Exact Actual Price of the bond at the new YTM of 8.50%. Compare this with your duration-estimated price and explain why the duration rule underestimates bond price increases when interest rates fall (Convexity Effect). (3 Marks) View model solution
Solution: Bond Duration, Volatility, and Convexity
Part (a): Current Market Price at YTM = 10%
- Annual Coupon (
): - Par Value (
): Rs. 1,000; Maturity ( ): 4 years; ( )
Part (b): Macaulay Duration (
) and Modified Duration ( ) Year ( ) Cash Flow ( ) Discount Factor PV of Cash Flow 1 Rs. 90 0.90909 Rs. 81.82 Rs. 81.82 2 Rs. 90 0.82645 Rs. 74.38 Rs. 148.76 3 Rs. 90 0.75131 Rs. 67.62 Rs. 202.86 4 Rs. 1,090 0.68301 Rs. 744.48 Rs. 2,977.92 Total Rs. 968.30 Rs. 3,411.36
Part (c): Duration-Estimated Price Change for
(-0.015)
Part (d): Exact Bond Price at YTM = 8.50% and Convexity Explanation
At new yield
( ): $
Comparison & Convexity Explanation:
- Duration estimated price
( ) - Actual market price
( ) - The duration rule underestimates the price increase by Rs. 1.53 because duration is a linear tangent approximation of a curved function. The price-yield relationship of a standard option-free bond is convex (curving upward).
- When interest rates decline, Convexity works in favor of bondholders: prices rise faster than linear duration predicts, and when rates rise, prices fall slower than duration predicts.
- Annual Coupon (
- [15]
Critically analyze the Behavioral Biases observed among retail investors on the Nepal Stock Exchange (NEPSE). Evaluate how cognitive errors—such as Herd Behavior, Disposition Effect, Overconfidence, and Framing—fuel market speculative bubbles and subsequent crashes in Nepal, and suggest regulatory measures for investor protection.
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1. The Behavioral Finance Revolution in Emerging Markets
Traditional finance assumes market participants are fully rational, risk-averse utility maximizers who process all market information instantaneously. In contrast, Behavioral Finance integrates cognitive psychology to explain why actual market prices deviate systematically from intrinsic fundamental values due to psychological biases and irrational decision heuristics.
2. Major Behavioral Biases Prevalent on NEPSE
Behavioral Anomalies Observed on NEPSE | +-------------------+-----------+-----------+-------------------+ | | | | Herd Behavior & Disposition Effect Overconfidence & Anchoring & Social Media Hype & Loss Aversion Illusion of Skill Framing Bias1. Herd Behavior (Bhedi Bheda Chal)
- In Nepal, retail investors heavily follow anonymous social media groups (Viber, Facebook stock chatrooms, Clubhouse) and prominent market speculators.
- Retailers aggressively buy low-cap microfinance and hydropower stocks without examining debt burdens or audited balances merely because everyone else is buying, creating speculative price bubbles disconnected from fundamentals.
2. The Disposition Effect (Mental Accounting & Loss Aversion)
- Propounded by Shefrin and Statman: Investors rush to sell winning stocks prematurely to lock in modest gains ("greed for small profit"), while stubbornly holding onto deeply losing stocks for years hoping they will break even.
- This creates severe capital misallocation, leaving retail portfolios dominated by financially distressed companies.
3. Overconfidence and Self-Attribution Bias
- During bull markets (e.g., NEPSE rising toward 3,200 index levels), beginner investors misattribute market-wide gains to their personal investment genius.
- Overconfident investors borrow heavily via margin lending and cooperative loans to amplify positions, making them vulnerable when liquidity tightens.
4. Gambler’s Fallacy & Lottery Preference
- Intense retail obsession with 10-unit IPO applications and Right Shares (Hakprada), regardless of corporate fundamentals. Retailers treat right share offerings as "free bonus gifts" rather than equity dilution.
3. Impact on Market Volatility in Nepal
These synchronized cognitive biases create extreme price distortion:
- Unprofitable hydropower entities with negative net worth have traded at P/E multiples exceeding 100$\times$.
- When liquidity contracts, panic-selling takes hold; herd sentiment reverses completely, triggering limit-down circuit breakers and wiping out billions in household savings.
4. Regulatory and Policy Interventions for SEBON and NEPSE
Strategic Reform Concrete Implementation Measures Expansion of Institutional Investment Encourage institutional asset managers, pension funds, mutual funds, and market makers to dilute retail herd dominance and provide counter-cyclical price stabilization. Financial Literacy and Mandatory Risk Warnings Require broker TMS screens to display prominent risk disclosure pop-ups on high-volatility, low-float penny stocks with negative net worth or under regulatory monitoring. Crackdown on Illegal Market Manipulation Prosecute unauthorized financial influencers ("finfluencers"), pump-and-dump cartels, and unauthorized paid stock-tip groups under strict anti-market manipulation statutes. Dynamic Circuit Breakers and Price Bands Review individual stock circuit breaker limits to prevent coordinated cornering of illiquid scripts.
5. Conclusion
A resilient capital market requires both structural institutional modernization and investor behavioral maturity. By empowering SEBON’s surveillance mechanisms and fostering an investment culture rooted in fundamental cash flows rather than speculative gossip, Nepal can transform NEPSE into a trusted engine for national capital formation.