Question

In: Finance

2019 2018 2017 2016 Net Investment Income 0.78 1.10 0.80 .34 Dividends Paid on Net Investment...

2019 2018 2017 2016
Net Investment Income 0.78 1.10 0.80 .34
Dividends Paid on Net Investment Income (0.75) (0.90) (0.50) (0.25)
Net Realized and Unrealized Gains (Losses) on Security Transactions (4.43) 1.25 3.25 (1.50)
Cash distributions from realized Gains - (1.00) (1.60) -
Increase (Decrease) in NAV (4.40) 0.45 1.95 (1.41)
NAV Beginning of the year 15.99 15.54 13.59 15.00
NAV End of Year 11.59 15.99 15.54 13.59

This a no-load mutual fund.

a: Using the cash flow worksheet on your financial calculator, calculate the 4-year average annual compound rate of return. The purchase price at the beginning of 2016 is $15.00 per share and the selling price at the end of 2019 is $11.59 per share.

b: Calculate the total profit per share for the 4-year period.

c. Using the cash flow worksheet on your financial calculator, calculate the 2-year average return assuming the investment was purchased at the beginning of 2017 for $13.59 and sold at the end of 2018 for $15.99.

d. Calculate the total profit per share for the 2-year period in c above.

e. Discuss the answers you calculated in parts a/b to the answers you calculated in parts c/d.

Solutions

Expert Solution

a]

CF0 = -purchase price = -$15.00

CF1 = Cash distribution in 2016 = $0

CF2 = Cash distribution in 2017 = $1.60

CF3 = Cash distribution in 2018 = $1.00

CF4 = selling price + Cash distribution in 2019 = $11.59 + $0 = $11.59

4-year average annual compound rate of return is calculated by the IRR of the above cash flows.

4-year average annual compound rate of return = -1.49%

b]

total profit per share = selling price - purchase price + total cash distributions

total profit per share = $11.59 - $15.00 + ($1.60 + $1.00)

total profit per share = -$0.81

c]

CF0 = -purchase price = -$13.59

CF1 = Cash distribution in 2017 = $1.60

CF2 = selling price + Cash distribution in 2018 = $15.99 + $1.00 = $16.99

2-year average annual compound rate of return is calculated by the IRR of the above cash flows.

2-year average annual compound rate of return = 17.85%

d]

total profit per share = selling price - purchase price + total cash distributions

total profit per share = $15.99 - $13.59 + ($1.60 + $1.00)

total profit per share = $5.00

e]

The total profit per share and average annual compound rate of return are higher in the 2-year period (parts c/d) than the 4-year period (parts a/b).

This is due to 2 reasons :

  • There was a decrease in NAV in 2016 and 2019 whereas there was an increase in NAV in 2017 and 2018.
  • There were cash distributions in 2017 and 2018 whereas the cash distributions were zero in 2016 and 2019

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