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Answer Key

Conceptual Questions

  1. Stocks vs. Bonds
  • Stocks: Ownership in a company; returns come from price appreciation and dividends.
  • Bonds: A loan to a government or company; returns come from interest coupons and repayment of principal at maturity.
  1. Risk vs. Return
  • Higher risk = higher expected return (and higher possibility of loss). Investors demand a premium for taking on uncertainty.
  1. Diversification
  • Mixing different assets/sectors to reduce specific risk.
  • Example: 60% S&P 500 ETF + 30% U.S. bond fund + 10% international stock ETF.
  1. Mutual Funds vs. ETFs
  • Mutual funds: Priced once a day (NAV), often have higher minimums, usually come with more fees.
  • ETFs: Trade all day like stocks, usually have lower costs.
  1. Main Advantage of a Roth IRA
  • Tax-free withdrawals in retirement (if rules are met). Ideal if you expect to be in a higher tax bracket later.
  1. Liquidity
  • Ease of converting to cash without significant loss. Generally: stock > corporate bond > house.
  1. Growth vs. Value
  • Growth: High expectations for expansion, reinvests profits (e.g., growing tech companies).
  • Value: Trades “cheap” relative to fundamentals, often pays dividends (e.g., mature companies).
  1. Rebalancing
  • Maintain your target risk profile by selling what has grown overweight and buying what has lagged.
  1. Role of Indexes
  • Serve as market benchmarks and form the basis for index funds/ETFs that offer instant diversification.
  1. Importance of Estate Planning
  • Defines who receives your assets, reduces costs/time (avoids or simplifies probate), and minimizes conflicts.

Problem-Solving

    1. Stock Growth
      • 20 shares × $25 = $500 (cost).
      • Value at $40 = 20 × $40 = $800.
      • Gain = $800 – $500 = $300.
    1. Bond Yield (at par)
      • Annual coupon = $60; face value = $1,000.
      • Yield = 60 ÷ 1,000 = 6%.
    1. Compound Growth
      • FV = 2,000 × (1.08)^15 ≈ $6,344.
    1. Mutual Fund vs. ETF Cost (20 years)
      • o Mutual fund net: 8% – 1.5% = 6.5% → FV ≈ 10,000 × (1.065)^20 ≈ $35,236.
      • o ETF net: 8% – 0.1% = 7.9% → FV ≈ 10,000 × (1.079)^20 ≈ $45,754.
      • o ETF wins by ≈ $10,518.
    1. Roth Advantage
      • Roth IRA with qualified withdrawals: $45,000 taxable = $0.
    1. Rebalancing (70/30 → 80/20)
      • Sell part of stocks (excess 10%) and buy bonds to return to 70/30. (No amounts needed; the correct action is reduce stocks and increase bonds.)
    1. Index Fund Growth (monthly contribution)
      • PMT = $200/month, r = 7%/12, n = 360.
      • FV ≈ 200 × [((1+0.07/12)^360 – 1) ÷ (0.07/12)] ≈ $244,000.
    1. Dividend Income
      • 100 shares × $2 = $200/year.
    1. Risk Check (concentration)
      • Main risk: concentration (unsystematic risk).
      • Solution: diversify across multiple companies/sectors/assets.
    1. Estate Planning (probate 5%)
      • 5% of $500,000 = $25,000.
      • Heirs receive = $475,000.

Interactive Challenge

    1. Quick Quiz: Stock or Bond?
    • Loan to the government → Bond
    • Ownership in a company → Stock
    • Pays dividends → Stock
    • Pays a fixed coupon → Bond
    1. Risk Spectrum (lowest to highest risk)
    • Savings account → U.S. Treasury bond → S&P 500 index fund → Cryptocurrency
    1. Diversify or Not?
    • More diversified: a friend with 10 companies (reduces firm-specific risk).
    1. Growth vs. Value
    • Hot startup tech company: typically growth (high potential/high valuation, little or no distributions).
    1. Liquidity Check (most to least liquid)
    • Checking account → Corporate bond → House
    1. Mistake Hunt (delaying retirement until 40)
    • Mistake: ignores the power of compound interest; requires much larger contributions to reach the same goal.
    1. Case Study Snapshot (Emily vs. Mark)
    • Emily (starts earlier) will likely have more at retirement: more time in the market > higher monthly contribution starting later.
    1. Estate Plan or Not?
    • Without a will: delays, costs, possible family conflict, and distribution decided by the state (not your wishes).

 

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Personal Finance - Your Money, Your Life Copyright © 2025 by Kevin Wang-Nava is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.