Question

The following data on the stock price and dividend payment of ABC. The dividends are paid...

The following data on the stock price and dividend payment of ABC. The dividends are paid out once a year at the end of the year. Below are stock prices prior to payout. Closing price in year t is same as the opening price of the year t + 1. Two investors, Jack and Jill, invested $1000 at the opening prices in 2015. Jack reinvests dividends at the end of every year. Jill stores the cash into her bank paying 0% interest.

year

closing price dividend paid
2014 360 20
2015 350 20
2016 390 20
2017 320 20
2018 320 20

-calculate value of Jack's portfolio at end of 2017, after the dividend for 2017 has been paid

-calculate value of Jill's portfolio at end of 2017, after the dividend for 2017 has been paid

-are both portfolios worth the same at the end of 2017? why or why not?

Homework Answers

Answer #1
Jack
Year Closing price Investment Quantity
2014 360 1000 2.7778
2015 350 20 0.0571
2016 390 20 0.0513
2017 320 20 0.0625
Total 2.9487
Closing prices 320
value of investment 944
Jill
Year Closing price Investment Quantity
2014 360 1000 2.7778
2015 350 0
2016 390 0
2017 320 0
total 2.7778
Closing prices 320
value of investment 889
Dividends received 60
Total portfolio 949
Quantity = Investment/Closing price
$1000 invested at beginning of 2015 (End of year price of 2014)
Dividends calculated for period 2015 to 2017

Both the values are different as dividends are reinvested in Jack's case. Jill has held the same in bank at no interest. Since the equity price has fallen over the period, Jack lost some money compared to Jill.

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