Theory of Interest & Financial Markets: Rates, Loans & Market Efficiency

TAKEAWAYS:

• Interest rates are determined by time preference (waiting for future goods), risk (higher risk = higher return), and liquidity (illiquid assets demand premiums).
• The loanable funds market equates supply (savers, banks) and demand (borrowers, firms) at the market interest rate, which signals resource allocation.
• Financial instruments (bonds, stocks, derivatives) trade at prices reflecting their yield, default risk, and maturity—Nepal’s NEPSE index and Ncell’s loan rates are real-world examples.
• Market efficiency (perfect competition in financial markets) maximizes total surplus, but real markets have asymmetric information (e.g., banks charging hidden fees) and market failures (e.g., NTC’s monopoly power).
• Government intervention (e.g., Nepal Rastra Bank’s repo rate) can stabilize markets but may distort signals if misapplied.
• Exam focus: Link theory to real-world applications (e.g., why Ncell charges higher interest on personal loans vs. corporate bonds) and mathematical relationships (e.g., present value calculations).

1. Why Do Interest Rates Exist? Theories of Interest

Interest is the price of time—it compensates lenders for forgoing current consumption and compensates borrowers for uncertainty. Three key theories explain its determinants:

A. Time Preference Theory (Classical View)

• People prefer present goods over future goods (impatience).
• The marginal rate of time preference (MRTP) measures how much extra future consumption is needed to compensate for waiting.

• Example: If you get ₹100 today or ₹110 next year, your MRTP is 10%. This becomes the natural rate of interest.

B. Loanable Funds Theory (Modern View)

Interest rates emerge from the supply and demand for loanable funds in financial markets.

• Supply of funds: Savers (households, firms), banks, government surpluses.
• Demand for funds: Borrowers (firms, households, government deficits).
• Equilibrium interest rate (r)* is where supply = demand.

Worked Example: Nepal’s Remittance Boom (2020–2023)

• Supply shift: Nepali migrants sent $10B+ in remittances (2023), increasing loanable funds.
• Effect: Interest rates on Nepal Investment Bank loans fell from 8% to 6% for SMEs.
• Real-world link: Lower rates helped Pathao drivers expand fleets, boosting employment.

C. Liquidity Preference Theory (Keynes)

• People hold money for transactions, precaution, and speculation.
• Liquidity preference curve shows how much interest is needed to induce people to hold bonds instead of cash.

Real-World Tie-In: Ncell’s Loan Demand

• During COVID-19 (2020), uncertainty rose → people preferred cash over bonds.
• Result: Nepal Rastra Bank (NRB) cut repo rate to 4.5% to encourage borrowing.

D. Risk and Uncertainty

• Default risk: Higher for personal loans (Ncell: 12%) vs. government bonds (Nepal: 6%).
• Inflation risk: Long-term bonds (e.g., Nepal’s 10-year bond) demand inflation premium.
• Maturity risk: Longer maturity = higher interest (e.g., Nepal Investment Bank’s 5-year loan: 8% vs. 1-year: 6%).

2. Financial Markets: Where Interest Rates Are Set

Financial markets allocate savings to productive uses via interest rates, bond prices, and stock yields.

A. Bond Market Mechanics

• Bond price (P) and interest rate (r) are inversely related: $$P=\frac{C}{(1+r)}+\frac{C}{(1+r{)}^2}+\cdots +\frac{F}{(1+r{)}^n}$$ Where:
  • $C$ = coupon payment
  • $F$ = face value
  • $n$ = years to maturity

Worked Example: NEPSE Corporate Bond (2024)

• Face value (F): ₹1000
• Coupon rate: 7% (₹70/year)
• Maturity: 5 years
• Market price (P): ₹950 (trading at premium/discount?) $$r=\left(\frac{C}{P}\right)+\frac{F-P}{P\times n}=\left(\frac{70}{950}\right)+\frac{50}{950\times 5}=7.37\%+1.05\%=8.42\%$$ Interpretation: The bond yields 8.42%, higher than the current Nepal Investment Bank deposit rate (6%) → attractive for investors.

B. Stock Market and Dividend Yield

• Dividend yield = $\frac{\text{Dividend per share}}{\text{Stock price}}$
• Example: NEPSE’s Nabil Bank stock (₹500/share) pays ₹25/year dividend → 5% yield.
• Growth stocks (e.g., Nepal Oil Corp) may have low current yields but high capital gains potential.

C. Money Market vs. Capital Market

3. Market Efficiency and Welfare

Financial markets are efficient if they:

1. Allocate resources optimally (lowest-cost borrowers get funds).
2. Provide accurate price signals (interest rates reflect risk).
3. Maximize total surplus (consumer + producer surplus).

A. Consumer and Producer Surplus in Financial Markets

• Consumer surplus (CS): Difference between what buyers are willing to pay and the actual price.
  • Example: A farmer borrows at 6% (market rate) but was willing to pay 8% → CS = 2%.
• Producer surplus (PS): Difference between what sellers receive and their minimum acceptable return.
  • Example: A bank lends at 6% but was willing to lend at 5% → PS = 1%.

Total surplus = CS + PS = Economic efficiency.

B. Market Failures in Nepal’s Financial Sector

1. Asymmetric Information:
   • Problem: Banks (e.g., Global IME) may not fully assess borrower risk (adverse selection).
   • Example: Microfinance scams in 2018 led to higher default rates → banks raised interest to 12%.
2. Monopoly Power:
   • NTC’s dominance in telecom → higher corporate borrowing costs (Ncell pays 9% vs. 6% for Pathao).
3. Government Intervention:
   • NRB’s directed lending (e.g., agriculture loans at 4%) distorts signals → over-lending to unproductive sectors.

4. Government and Central Bank Policies

A. Monetary Policy Tools

B. Fiscal Policy and Interest Rates

• Government deficits increase demand for loanable funds → higher interest rates.
  • Example: Nepal’s budget deficit (12% of GDP in 2023) pushed corporate bond yields to 9%.
• Tax incentives for savings (e.g., Nepal’s pension fund tax breaks) increase supply → lower rates.

5. Real-World Applications in Nepal and Globally

A. Ncell’s Loan Interest Strategy

• Personal loans: 12–15% (high risk, short-term).
• Corporate loans: 6–8% (lower risk, collateral).
• Why? Reflects risk premium and liquidity preference.

B. NEPSE’s Stock Market Efficiency

• Efficient Market Hypothesis (EMH): Stock prices reflect all available information.
• Example: When Nepal’s GDP growth forecast rose to 5% (2023), NEPSE index jumped 10% in a month.
• Inefficiency: Insider trading (e.g., 2019 NMB Bank scandal) distorts prices.

C. World Bank Loans to Nepal

• Low interest (2–4%) because:
  • Sovereign guarantee (low default risk).
  • Long maturity (20+ years) → lower liquidity premium.
• Used for: Infrastructure (e.g., Buddha Air runway upgrade).

D. Daraz’s Financing Model

• Daraz Khat: 0% interest for 30 days (but late fees = 24% APR).
• Why? Uses psychological pricing (free money illusion) to attract users.

6. Exam Tip: How to Score Full Marks

1. Link theory to Nepal:

   • Always relate loanable funds to Nepal Investment Bank, NRB policies, or NEPSE.
   • Example: "NRB’s repo rate cut in 2020 increased loanable funds, reducing SME loan rates from 8% to 6%."

2. Use diagrams:

   • Draw loanable funds supply/demand shifts for any policy question.
   • Show bond price vs. interest rate for bond yield questions.

3. Mathematical precision:

   • For present value, always show the formula: $$PV=\frac{FV}{(1+r{)}^n}$$
   • For dividend yield, calculate step-by-step.

4. Critique government policies:

   • Pro: "NRB’s directed lending to agriculture boosted rural income."
   • Con: "But it led to misallocation, as seen in the 2018 microfinance crisis."

5. Compare markets:

   • Use tables to contrast money vs. capital markets, bonds vs. stocks.

7. Common Pitfalls to Avoid

• Assuming all interest is "bad": Interest rewards saving and funds investment.
• Ignoring risk: A 10% bond yield may reflect high default risk, not just time preference.
• Overlooking liquidity: Nepal’s real estate has high returns but is illiquid → demands a premium.
• Mixing nominal and real rates:
  • Nominal rate = observed rate (e.g., 8%).
  • Real rate = nominal − inflation (e.g., 8% − 5% = 3%).

8. Practice Questions (Exam-Style)

1. Critically analyze the Loanable Funds Theory of interest in the context of Nepal’s 2023 remittance boom.

   • Answer: Remittances increased supply → shifted supply curve right → lowered interest rates for SMEs.

2. Calculate the present value of a ₹50,000 loan due in 3 years at 7% interest. $$PV=\frac{50,000}{(1.07{)}^3}=₹40,545$$

3. How does asymmetric information affect Ncell’s personal loan interest rates?

   • Answer: Banks cannot fully assess borrower risk → charge higher rates (12–15%) to compensate for adverse selection.

4. Explain why Nepal’s 10-year government bond yields less than a corporate bond of the same maturity.

   • Answer: Default risk (corporate bonds are riskier) and tax treatment (government bonds are tax-free in Nepal).

9. Key Formulas to Memorize

10. Visual Summary of Interest Rate Determinants

mindmap
  root((Interest Rate Determinants))
    Time Preference
      MRTP
      Impatience
    Loanable Funds
      Supply: Savers, Banks, NRB
      Demand: Borrowers, Firms, Govt.
      Equilibrium: r*
    Risk
      Default Risk (Ncell > Govt. Bonds)
      Inflation Risk
    Liquidity
      Illiquid Assets (Real Estate > Bonds)
      Speculative Demand
    Government Policy
      Repo Rate (NRB)
      Tax Incentives