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?
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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