Market Indices & Mutual Funds: Valuation, Types & Real-World Use

TAKEAWAYS

• Market indices (e.g., NEPSE-30) aggregate stock prices to reflect market trends, while mutual funds pool investor money to diversify risk.
• Open-end funds issue/sell shares at NAV, while closed-end funds trade at discounts/premiums to NAV.
• Index funds track benchmarks (e.g., S&P 500), while actively managed funds aim for outperformance via stock selection.
• NAV (Net Asset Value) = (Total Assets – Liabilities) / Shares Outstanding; market price = NAV ± discount/premium.
• Nepal’s NEPSE uses the price-weighted index (like Dow Jones), while global indices (e.g., MSCI) use market-cap weighting.
• Liquidity risk in closed-end funds arises from trading discounts; diversification in mutual funds reduces unsystematic risk.

1. Market Indices: Definition & Types

Market indices are statistical measures of a segment of the stock market, used to benchmark performance. They help investors gauge market sentiment, economic health, and sector trends.

Key Concepts

• Base Year: The reference year (e.g., NEPSE-30’s base is 1994 = 100).
• Index Formula: $$\text{Index Value}=\left(\frac{\text{Current Market Value of Stocks}}{\text{Base Year Market Value}}\right)\times \text{Base Index Value}$$
• Weighting Methods:
  • Price-weighted: Stocks with higher prices have greater influence (e.g., Dow Jones).
  • Market-cap weighted: Larger companies dominate (e.g., S&P 500).
  • Equal-weighted: All stocks contribute equally.

Nepal’s NEPSE-30 Index

Global Examples

Why NEPSE-30 is Price-Weighted? Unlike market-cap indices, NEPSE-30’s weighting ignores company size, focusing on liquidity and trading volume of individual stocks. This makes it sensitive to short-term price swings (e.g., Ncell’s stock price movements).

2. Mutual Funds: Structure & Mechanics

Mutual funds pool money from investors to buy a diversified portfolio of securities (stocks, bonds, etc.). They are managed by professionals and offer liquidity, diversification, and low cost for retail investors.

Key Definitions

• Net Asset Value (NAV): $$\text{NAV}=\frac{\text{Total Assets}-\text{Liabilities}}{\text{Number of Shares Outstanding}}$$
• Market Price: Can trade at a discount (below NAV) or premium (above NAV) to NAV.
• Open-end vs. Closed-end Funds:

  Feature	Open-end Fund	Closed-end Fund
  Shares	Issued/sold at NAV	Fixed number of shares
  Trading	Redeemable at NAV	Trades on exchange (like stocks)
  Liquidity	High (daily NAV calculation)	Low (depends on market demand)
  Example (Nepal)	NMB Mutual Fund	NEPSE-listed closed-end funds

Worked Example: Closed-end Fund Valuation

A closed-end fund has:

• Portfolio assets = Rs. 2,250 million
• Liabilities = Rs. 50 million
• Shares outstanding = 100 million
• Trades at an 8% discount to NAV.

Step 1: Calculate NAV $$\text{NAV}=\frac{2,250-50}{100}=\text{Rs. 22 per share}$$

Step 2: Determine Market Price Discount = 8% of NAV = 0.08 × 22 = Rs. 1.76 Market Price = NAV – Discount = Rs. 22 – Rs. 1.76 = Rs. 20.24 per share.

Why Discounts? Closed-end funds often trade at discounts due to:

• Liquidity risk: Few buyers/sellers.
• Performance lag: Fund managers may underperform benchmarks.
• Tax inefficiency: Capital gains distributions reduce NAV.

3. Index Funds vs. Actively Managed Funds

Real-World Tie: Daraz’s Supply Chain Daraz uses a just-in-time (JIT) inventory system, akin to an index fund’s passive tracking. Like an index fund, Daraz avoids overstocking (high costs) or understocking (lost sales) by aligning orders with demand trends—similar to how an index fund replicates a market index’s performance without trying to "beat" it.

4. Risk & Diversification in Mutual Funds

Mutual funds reduce unsystematic risk (company-specific) through diversification. However, systematic risk (market-wide) remains.

Diversification Example: Nepal’s Banking Sector

pie
    title: Portfolio Diversification in NMB Mutual Fund (2024)
    "Stocks (60%)" : 60
    "Bonds (25%)" : 25
    "Government Securities (10%)" : 10
    "Cash & Equivalents (5%)" : 5

Why Diversify?

• If Ncell’s stock crashes, losses are offset by gains in IMC Bank or NTC.
• Similar to how NEPSE-30 includes banks, telecoms, and consumer goods, reducing reliance on any single sector.

5. Market Indices in Real-World Decisions

Example 1: Investor Using NEPSE-30

An investor compares their portfolio return (12%) to NEPSE-30’s return (8%). If their return > index, they outperform; if <, they underperform. This helps assess fund manager skill.

Example 2: Bank Loan Approval

Banks use market indices (e.g., NEPSE-30) to adjust loan interest rates. If NEPSE-30 rises by 5%, banks may increase floating-rate loan rates by 2–3%, passing on market gains to depositors.

## In the Real World

1. eSewa & Khalti (Digital Wallets)

   • Idea: Liquidity risk management (like closed-end funds).
   • How: Both wallets hold cash equivalents (similar to mutual fund cash reserves) to ensure instant payouts, reducing counterparty risk for users.

2. Daraz (E-commerce)

   • Idea: Market-cap weighted index analogy.
   • How: Daraz’s top-selling items (e.g., electronics, fashion) drive revenue, much like large-cap stocks dominate market-cap indices. Diversifying product categories reduces risk, akin to a diversified mutual fund.

3. NEPSE & Ncell (Telecom Stock)

   • Idea: Price-weighted index impact.
   • How: Ncell’s stock price volatility (e.g., due to spectrum auctions) directly affects NEPSE-30’s movement, just as a single stock’s price swing affects the Dow Jones.

## Exam Tips

1. Market Indices:

   • Always specify the weighting method (price, market-cap, equal) when describing an index.
   • For NEPSE-30, emphasize it’s price-weighted and not market-cap weighted.
   • Formula recall: Index value = (Current MV / Base MV) × Base Index.

2. Mutual Funds:

   • Distinguish open-end (redeemable at NAV) vs. closed-end (trades at discount/premium).
   • NAV calculation is a high-scoring question—practice with given assets/liabilities.
   • For discounts/premiums: Market Price = NAV × (1 ± discount/premium).

3. Index vs. Actively Managed Funds:

   • Index funds are passive; actively managed funds aim for alpha (outperformance).
   • Nepal’s NMB NEPSE-30 Index Fund is a real-world example of an index fund.

4. Diversification:

   • Explain how mutual funds reduce unsystematic risk but not systematic risk.
   • Use pie charts or Mermaid diagrams to show portfolio allocation (e.g., 60% stocks, 25% bonds).

5. Worked Examples:

   • Expect NAV calculations, discount/premium questions, and index formula applications.
   • For beta/return questions (e.g., CAPM), link to Unit 5 (Risk and Return).

Final Note: Focus on Nepal-specific examples (NEPSE-30, NMB funds) and global parallels (S&P 500, MSCI). Use formulas and comparison tables to score full marks.