Investment & Portfolio Management: Theory, Tools & Nepali Cases

TAKEAWAYS:

• Investment vs. speculation: Investments generate cash flows (dividends, interest) or capital gains; speculation relies on price movements without intrinsic value.
• Portfolio theory: Diversification reduces unsystematic risk (e.g., holding NEPSE stocks + bonds), but systematic risk (market risk) remains.
• Key metrics: Calculate total return, holding period return, and after-tax yield for bonds/stocks using formulas tied to Nepali tax rates (e.g., 1% dividend tax, 25% capital gains tax).
• Nepali instruments: Mutual funds (e.g., Citizen Investment Trust), bonds (NTC, Ncell), and stocks (NEPSE-listed companies) have unique tax treatments and liquidity profiles.
• Risk management: Use beta (market sensitivity) and Sharpe ratio to evaluate funds; Nepali investors often overlook currency risk (USD vs. NPR).
• Regulatory role: SEBON (Securities Board of Nepal) and NIBL (Nepal Investment Bank Ltd.) oversee disclosures, but retail investors face limited options compared to global markets.

---

1. Core Concepts: Investment and Portfolio Management

1.1 Definitions and Objectives

Investment is the commitment of funds to purchase financial assets (stocks, bonds, mutual funds) or real assets (property, gold) to earn returns over time. Portfolio management is the art and science of selecting, monitoring, and adjusting a mix of assets to meet an investor’s goals.

Key objectives:

• Wealth accumulation: Grow capital for retirement (e.g., NIBL’s pension funds).
• Income generation: Earn regular cash flows (e.g., NTC bonds paying 8% annually).
• Capital preservation: Protect against inflation (e.g., Nepal Rastra Bank’s fixed deposits).
• Speculation: High-risk bets on price movements (e.g., NEPSE’s volatile tech stocks).

---

1.2 Types of Investments in Nepal

---

2. Portfolio Theory: Diversification and Risk

2.1 The Risk-Return Tradeoff

• Higher returns (e.g., NEPSE stocks averaging 15% annually) come with higher risk (volatility, default).
• Lower returns (e.g., NTC bonds at 8%) are safer but erode purchasing power if inflation is high (currently ~6% in Nepal).

2.2 Diversification

• Unsystematic risk: Company-specific risk (e.g., NMB’s loan defaults). Diversification eliminates this by holding multiple assets.
• Systematic risk: Market-wide risk (e.g., political instability in Nepal). Cannot be diversified away; measured by beta (β).
  • β = 1: Moves with the market (e.g., NEPSE index).
  • β > 1: More volatile (e.g., Nepal Battery Industries).
  • β < 1: Less volatile (e.g., NTC bonds).

Mermaid Diagram: Diversification Impact

---

3. Key Investment Metrics

3.1 Total Return and Holding Period Return (HPR)

Formula: $$\text{Total Return}=\frac{\text{Ending Price}-\text{Beginning Price}+\text{Dividends}+\text{Capital Gains}}{\text{Beginning Price}}$$ Example: You buy NMB Bank stock at Rs. 200/share. After 1 year:

• Ending price = Rs. 220
• Dividend received = Rs. 10/share
• Capital gain distribution = Rs. 5/share $$\text{HPR}=\frac{220-200+10+5}{200}=\frac{35}{200}=17.5\%$$

3.2 After-Tax Yield on Bonds

Nepal taxes bond interest at the investor’s slab rate (e.g., 10% for Rs. 500K–Rs. 1M income). For a NTC bond paying 8% annually:

• Gross yield = 8%
• After-tax yield = $8\%\times (1-0.10)=7.2\%$

Worked Example: Ncell Bond Investment

• Face value = Rs. 1,000
• Market price = Rs. 950
• Coupon rate = 7% (paid annually)
• Your tax rate = 20%
• Holding period = 2 years

Step-by-Step Calculation:

1. Annual interest income = Rs. 1,000 × 7% = Rs. 70
2. After-tax interest per year = Rs. 70 × (1 – 0.20) = Rs. 56
3. Capital gain/loss: If sold at Rs. 1,100 after 2 years:
   • Gain = Rs. 1,100 – Rs. 950 = Rs. 150
   • Tax on gain = Rs. 150 × 25% = Rs. 37.5
4. Total after-tax return = (Rs. 56 × 2) + (Rs. 150 – Rs. 37.5) = Rs. 112 + Rs. 112.5 = Rs. 224.5
5. After-tax yield = $\frac{224.5}{950}\times 100=23.6\%$

---

4. Nepali Investment Instruments

4.1 Mutual Funds (e.g., Citizen Investment Trust)

How it works:

• Pools money from multiple investors to buy a diversified portfolio.
• Managed by AMC Nepal (Asset Management Companies).
• Types:
  • Open-ended: Buy/sell anytime (e.g., CIT Equity Fund).
  • Closed-ended: Fixed shares (e.g., NIBL Mutual Fund).

Advantages:

• Professional management (no need to pick stocks individually).
• Lower minimum investment (e.g., Rs. 1,000 vs. Rs. 100K for direct stocks).
• Tax efficiency (corporate tax paid by fund, not investor).

Disadvantages:

• Fees (1–2% expense ratio).
• Past performance ≠ future results (e.g., CIT’s 2020–21 drop due to COVID).

4.2 Bonds in Nepal

Types:

Worked Example: NTC Bond Purchase

• Par value = Rs. 1,000
• Market price = Rs. 980
• Coupon rate = 8% (paid semi-annually)
• Yield to Maturity (YTM) = ?

Solution: Use the bond pricing formula: $$P=\frac{C}{2(1+r)}+\frac{C}{2(1+r{)}^2}+\cdots +\frac{F}{(1+r{)}^n}$$ Where:

• $P$ = Rs. 980
• $C$ = Rs. 80 (semi-annual coupon)
• $F$ = Rs. 1,000
• $n$ = 5 years × 2 = 10 periods

Using a financial calculator or Excel: $$\text{YTM}\approx 8.2\%\text{ (annualized)}$$

---

5. Portfolio Construction Steps

5.1 Step-by-Step Process

1. Define Goals:
   • Short-term (e.g., buying a car in 2 years) → Fixed deposits, T-bills.
   • Long-term (e.g., retirement in 20 years) → Equities, mutual funds.
2. Assess Risk Tolerance:
   • Conservative → 60% bonds, 30% FD, 10% stocks.
   • Aggressive → 70% stocks, 20% mutual funds, 10% gold.
3. Asset Allocation:
   • Rule of 100: Subtract age from 100 to get % in stocks (e.g., 30-year-old → 70% stocks).
4. Security Selection:
   • Use fundamental analysis (P/E ratio, dividend yield) or technical analysis (moving averages).
5. Rebalancing:
   • Adjust portfolio annually to maintain target allocations (e.g., if stocks grow to 80%, sell some to rebalance).

Mermaid Diagram: Portfolio Construction Flow

---

6. Real-World Applications in Nepal

6.1 eSewa and Digital Investments

• How it uses this unit: eSewa’s eSewa Investment feature lets users buy Nepal Investment Bank Ltd. (NIBL) mutual funds directly via the app.
• Key idea: Liquidity and accessibility—investors can start with Rs. 1,000, unlike traditional brokers requiring Rs. 50,000.
• Tax benefit: Dividends from mutual funds are taxed at the fund level (15% corporate tax), not the investor’s slab rate.

6.2 NEPSE and Retail Investors

• How it uses this unit: NEPSE’s Citizen Investment Trust (CIT) allows retail investors to hold a diversified portfolio of top NEPSE stocks (e.g., NMB, NBL, CGS).
• Worked Example: A Kathmandu shopkeeper invests Rs. 50,000 in CIT Equity Fund (NAV = Rs. 100). After 3 years:
  • NAV grows to Rs. 140.
  • Dividends received: Rs. 2,000/year.
  • Total value = (50,000 × 140/100) + (2,000 × 3) = Rs. 70,000 + Rs. 6,000 = Rs. 76,000.
  • Return = $\frac{76,000-50,000}{50,000}\times 100=52\%$.

6.3 NTC Bonds for Conservative Investors

• How it uses this unit: NTC issues tax-free bonds (until 2024) to fund infrastructure. A retired teacher buys Rs. 200,000 worth of NTC’s 7% bonds.
  • Annual income = Rs. 200,000 × 7% = Rs. 14,000 (tax-free).
  • Comparison: Same bond in the US would yield ~5% after taxes, but in Nepal, 7% is tax-free, making it more attractive.

---

7. Exam Tip: How to Score Full Marks

7.1 Common Pitfalls

• Ignoring taxes: Always calculate after-tax returns (e.g., bonds, dividends).
• Miscounting periods: For bonds, use semi-annual coupons unless stated otherwise.
• Confusing nominal vs. real returns: Adjust for inflation (e.g., 10% return – 6% inflation = 4% real return).

7.2 High-Mark Questions

1. Calculate and compare:
   • Given a bond/stock, compute HPR, YTM, and after-tax yield.
   • Example: "A NEPSE stock pays a 5% dividend. If the tax rate is 1%, what is the after-tax yield?" → 4%.
2. Explain concepts with Nepali examples:
   • "How does diversification reduce risk for a Pathao driver investing in mutual funds?" → Spreading across stocks/bonds reduces reliance on NEPSE’s volatility.
3. Case studies:
   • "A farmer has Rs. 1M. Should they invest in NTC bonds (8%) or NEPSE stocks (expected 12%)?" → Depends on risk tolerance (use risk-return graph).
4. Regulatory roles:
   • "How does SEBON protect retail investors in Nepal?" → Mandates disclosures, audits mutual funds, and caps fees.

7.3 Formula Cheat Sheet

---

8. Practice Questions (Exam-Style)

1. Mutual Fund Return:

   • You buy a Citizen Investment Trust (CIT) share at Rs. 120.
   • After 1 year: NAV = Rs. 135, dividend = Rs. 3/share, exit fee = Rs. 2.
   • Calculate one-year return.

2. Bond YTM:

   • A Ncell bond has a Rs. 1,000 face value, 6% coupon (paid annually), matures in 5 years, and sells for Rs. 950.
   • Calculate YTM.

3. Portfolio Beta:

   • Your portfolio: 60% NEPSE index (β=1), 30% NTC bonds (β=0.2), 10% gold (β=0).
   • Calculate portfolio beta.

4. Tax Comparison:

   • Option A: NTC bond (8% taxable).
   • Option B: NEPSE stock (5% dividend, 25% CGT if sold).
   • Which is better for a 20% tax bracket investor?

---

Answer Key:

1. $\frac{135-120+3-2}{120}=16.67\%$
2. YTM ≈ 6.5% (use financial calculator)
3. $0.6\times 1+0.3\times 0.2+0.1\times 0=0.66$
4. Option A (NTC bond): After-tax yield = 6.4%; Option B’s tax depends on holding period.