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>$5 ext{%}$ (B)</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>$2.75 ext{%}$ (A)</p> Signup and view all the answers

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

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

What are the two components of return on any asset?

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

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

<p>$\frac{1}{T} \sum_{t=1}^{T} R_t$ (D)</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>$2.75%$ (B)</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>$HPR = \frac{P_S - P_B + CF}{P_B}$ (C)</p> Signup and view all the answers

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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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