Rates of Returns and HPR Quiz
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Questions and Answers

What are the two components of return on any asset?

  • Income component and capital gains/loss (correct)
  • Cash flow and investment period
  • Initial investment and final value
  • Dividends received and stock price changes
  • What does HPR stand for in the context of rates of returns?

  • Hedge Portfolio Return
  • High Potential Returns
  • Historical Price Ratio
  • Holding Period Return (correct)
  • How is the arithmetic average return calculated for an investment over multiple periods?

  • $\frac{T}{\sum_{t=1}^{T} R_t}$
  • $\frac{1}{T} \sum_{t=1}^{T} (1+R_t)$
  • $\frac{1}{T} \prod_{t=1}^{T} (1+R_t)$
  • $\frac{1}{T} \sum_{t=1}^{T} R_t$ (correct)
  • If the stock price for Stock A was $10 per share 1 year ago, and is currently trading at $9.50 per share with shareholders receiving a $1 dividend, what return was earned over the past year?

    <p>$5 ext{%}$</p> Signup and view all the answers

    Consider an investment with the following returns: Year 1: $5 ext{%$, Year 2: $-3 ext{%$, Year 3: $4 ext{%$, Year 4: $5 ext{%$. What is the arithmetic annual return for this investment?

    <p>$2.75 ext{%}$</p> Signup and view all the answers

    What does HPR stand for in the context of rates of returns?

    <p>Holding Period Return</p> Signup and view all the answers

    What are the two components of return on any asset?

    <p>Income component and capital gains/loss</p> Signup and view all the answers

    How is the arithmetic average return calculated for an investment over multiple periods?

    <p>$\frac{1}{T} \sum_{t=1}^{T} R_t$</p> Signup and view all the answers

    If an investment has the following returns: Year 1: 5%, Year 2: -3%, Year 3: 4%, Year 4: 5%, what is the arithmetic annual return for this investment?

    <p>$2.75%$</p> Signup and view all the answers

    In the context of rates of returns, what formula is used to calculate the Holding Period Return (HPR)?

    <p>$HPR = \frac{P_S - P_B + CF}{P_B}$</p> Signup and view all the answers

    Study Notes

    Return on Assets

    • Two components of return on any asset: income and capital appreciation

    Holding Period Return (HPR)

    • HPR stands for Holding Period Return in the context of rates of returns
    • Formula to calculate HPR: ((Current Price - Initial Price + Dividend) / Initial Price) or ((P1 - P0 + D) / P0)

    Arithmetic Average Return

    • Calculated by averaging the returns over multiple periods
    • Formula: (Sum of Returns over multiple periods) / Number of periods
    • Example: If an investment has the following returns: Year 1: 5%, Year 2: -3%, Year 3: 4%, Year 4: 5%, the arithmetic annual return is: (5 + (-3) + 4 + 5) / 4 = 11 / 4 = 2.75%

    Example Problem

    • If the stock price for Stock A was $10 per share 1 year ago, and is currently trading at $9.50 per share with shareholders receiving a $1 dividend, the return earned over the past year is: ((9.50 - 10 + 1) / 10) = 0.50 / 10 = 5%

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    Description

    Test your knowledge about rates of returns and Holding Period Return (HPR). Understand the components of return on investment and how to calculate HPR using buy and sale prices as well as cash flows.

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