Capital Markets and Risk Management

  • Introduction to Capital Markets

    • Capital markets differ significantly from other previous financial concepts studied.
    • Focus on understanding the relationship between risk and return is crucial.
    • Financial returns are examined to determine appropriate returns on non-financial assets.

  • Risk and Return Trade-off

    • The risk-return trade-off states that higher risks are associated with higher expected returns.
    • If the risk is minimized, potential returns will also decrease.

  • Types of Returns

    • Dollar Return:

    • Definition: The sum of investment income and capital gains or losses.

    • Example:

      • Purchase a bond at $9.50.
      • Receive $60 from coupons ($30 each for two years).
      • Sell bond for $9.75.
      • Dollar Return = Income + Capital Gain = $60 + ($9.75 - $9.50) = $85.

    • Percentage Returns:

    • More commonly represented as percentages for intuition.

    • Dividend Yield:

      • Formula: Income / Initial Price.

    • Capital Gain Yield:

      • Formula: (Ending Price - Beginning Price) / Beginning Price.

    • Total Percentage Return:

      • Sum of Dividend and Capital Gain Yields.

  • Financial Market Functions

    • Enable companies and governments to raise capital.
    • Assist savers to invest in financial assets, providing returns for deferred consumption.
    • Provide information regarding required returns based on risk levels.

  • Risk Premiums and Risk-Free Assets

    • Risk premium is the return above the risk-free rate (e.g., Treasury Bills).
    • Different assets carry varying risk premiums (e.g., common stocks vs. venture stocks).

  • Understanding Variance and Standard Deviation

    • Variance measures the volatility of asset returns, representing risk.
    • Standard Deviation: Square root of variance.
    • Essential for evaluating the uncertainty and fluctuation in asset returns.

  • Return Calculation

    • Distinguish between Arithmetic Average and Geometric Average in return calculations.
    • Arithmetic Average: Simply sum of returns divided by number of periods.
    • Geometric Average: More accurate for investment returns over time, usually less than the arithmetic average.

  • Market Efficiency

    • Efficient markets adjust quickly to new information, meaning investors cannot earn excess returns based on public information alone.
    • Investors play a significant role in market efficiency through their responses to information.

  • Impact of Diversification

    • Diversification reduces risk by investing in various assets; a mix of different stocks can mitigate losses.
    • Not putting all investments in similar asset types protects against industry-specific downturns.

  • Portfolio Theory

    • A portfolio consists of a collection of investments; its risk and return are affected by the collective behavior of its components.
    • Expected return of a portfolio is the weighted average of the expected returns from its individual assets.

  • Expected Return and Variance

    • Understanding how to calculate expected returns considering the probabilities of various outcomes is crucial.
    • Variance of a portfolio can be computed similarly to individual assets; care must be taken to consider correlations between assets.

  • Recap of Essential Formulas

    • Arithmetic Average: Sum of returns / Number of periods.
    • Geometric Average: (Product of (1 + return rates))^(1/n) - 1.
    • Dividend Yield: Income / Initial Price.
    • Capital Gain Yield: (Ending Price - Beginning Price) / Beginning Price.
    • Portfolio Expected Return: Weighted average of returns from individual assets.
    • Portfolio Variance: Weighted average of squared differences from the expected return.

  • Final Remarks

    • Practicing calculations of variance, standard deviation, and returns will solidify understanding.
    • Understanding theoretical concepts will significantly aid in grasping practical applications in finance.