An investor created an equal weighted portfolio of AMZN, IMB,
AAA and DAE on July 1, 2016. These stocks did not pay any dividends
during the period in this problem.
The returns on the stocks in July 2016 were 7.6%, -2:1%, 6.8%, and
1.8%, respectively.
(a) What was the portfolio return in July 2016?
The returns on the stocks in August 2016 were 2.4%, -4:8%, 3.1%,
5.2%.
(b) What would be the portfolio return in August 2016 if the
portfolio is not rebalanced.
(c) What would be the portfolio return in August 2016 if the
portfolio is rebalanced to its
weights on July 1, 2016.
answer a | |||||
stock | weight | retun | weighted return | ||
AMZN | 0.25 | 7.6 | 1.9 | ||
IMB | 0.25 | 2.1 | 0.525 | ||
AAA | 0.25 | 6.8 | 1.7 | ||
DAE | 0.25 | 1.8 | 0.45 | ||
4.575 | |||||
Return on portfolio in july | 4.575% | ||||
answer b | |||||
if portfolio not balanced | |||||
stock | weight | return | weighted return | ||
AMZN | 1.9 | 2.4 | 4.56 | ||
IMB | 0.525 | 4.8 | 2.52 | ||
AAA | 1.7 | 3.1 | 5.27 | ||
DAE | 0.45 | 5.2 | 2.34 | ||
14.69 | |||||
Return on portfolio in august= | 14.6900% | ||||
answer c | |||||
if portfolio is balanced | |||||
stock | july end value | equal weight | return | weighted return | |
AMZN | 1.9 | 1.14375 | 2.4 | 2.745 | |
IMB | 0.525 | 1.14375 | 4.8 | 5.49 | |
AAA | 1.7 | 1.14375 | 3.1 | 3.545625 | |
DAE | 0.45 | 1.14375 | 5.2 | 5.9475 | |
4.575 | 17.72813 | ||||
return= | 17.7281% | ||||
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