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Question: Suppose that you bought a stock four years ago at $10. The stock’s price at...

Question: Suppose that you bought a stock four years ago at $10. The stock’s price at the end of each year is listed as follows.

YEAR 1 2    3 4

PRICE $12 $14    $15 $22

(1) Please compute the rate of return (as a percentage) for each year.

Rate of Return = ( Final Value − Initial Value ) Initial Value ⋅ 100 %

(2) Please compute the geometric mean of the rates of return. (You can leave your answer by inserting all the relevant numbers to the formula.) R g = ( 1 + R 1 ) ( 1 + R 2 ) ( 1 + R 3 ) . . . ( 1 + R n ) n − 1 where R is in decimal form only!

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