A portfolio manager is evaluating the performance of a fund that has been managed for the past 20 years. The appraised value of the fund each year and the cash flow from the fund is shown are the following table.   Portfolio   Value ($000) Cash flow ($000) Year 0 $ 100 – Year 1 105 $ 2 Year 2 108 2 Year 3 110 2 Year 4 115 3 Year 5 120 3 Year 6 125 4 Year 7 130 4 Year 8 120 4 Year 9 100 2 Year 10 105 3 Year 11 110 4 Year 12 105 3 Year 13 110 4 Year 14 116 5 Year 15 125 6 Year 16 130 7 Year 17 135 7 Year 18 132 6 Year 19 135 7 Year 20 140 8 Required: Calculate the holding period return for the fund each year. Calculate arithmetic mean of the fund holding period returns for the 20 years. Calculate the geometric mean of the fund holding period returns for the 20 years. Calculate the standard deviation of the fund holding period returns. Use the population standard deviation. please help with question 4

Entrepreneurial Finance
6th Edition
ISBN:9781337635653
Author:Leach
Publisher:Leach
Chapter9: Projecting Financial Statements
Section: Chapter Questions
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A portfolio manager is evaluating the performance of a fund that has been managed for the past 20 years. The appraised value of the fund each year and the cash flow from the fund is shown are the following table.

  Portfolio
  Value ($000) Cash flow ($000)
Year 0 $ 100
Year 1 105 $ 2
Year 2 108 2
Year 3 110 2
Year 4 115 3
Year 5 120 3
Year 6 125 4
Year 7 130 4
Year 8 120 4
Year 9 100 2
Year 10 105 3
Year 11 110 4
Year 12 105 3
Year 13 110 4
Year 14 116 5
Year 15 125 6
Year 16 130 7
Year 17 135 7
Year 18 132 6
Year 19 135 7
Year 20 140 8

Required:

  1. Calculate the holding period return for the fund each year.
  2. Calculate arithmetic mean of the fund holding period returns for the 20 years.
  3. Calculate the geometric mean of the fund holding period returns for the 20 years.
  4. Calculate the standard deviation of the fund holding period returns. Use the population standard deviation.

please help with question 4

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