Nellie has been researching the stock price of TechNoMagic, Inc. and has noticed
ID: 1180233 • Letter: N
Question
Nellie has been researching the stock price of TechNoMagic, Inc. and has noticed that if follows a consistent cyclical pattern in the last few years. Each year it is at its lowest toward the end of the 2nd quarter and peaks towards the end of the 4th quarter. What annual rate of return (EAR) could Nellie potentially earn if she purchased 150 shares at the end of quarter 2 for $78 per share and sell it at the end of quarter 4 for $87 per share, and she also received $1 per share of quarterly dividends. Ignore any fees for trading the stock and any re-investment of the dividends when paid or funds after selling .
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Explanation / Answer
Dividend earned in one quarter = 150*1= 150
Dividend earned in two quarters= 150*2= 300
Amount received in the final sale = 150*87 =$13050
Amount invested = 150*78 =$11700
Total rate of return = (Final amount+ Dividend- Initial amount)Initial amount
Total gain =150*87+300-150*78= 1650
rate of return = (13050+300-11700)/11700 = 14.10%
This rate of return was earned for six months
annual rate of return (EAR) =(1+14.10)^2 -1 = 30.19%
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