Roger purchased a stock for $16 a share. The stock paid a $1 annual dividend and increased in price by $2 a year for the following three years. What is the arithmetic average annual capital gain

The answer is 11.2%

Explanation:

Cost of acquisition: $16 per share

Annual dividend: $1

The stock increases by $2 every year for 3 years. Therefore, we have:

First year is $16 per share

Second year is $18 per share

Third year is $20 per share.

The arithmetic average annual capital gain will be

($2/$16 + $2/$18 + $2/$20)/3

(0.125 + 0.111 + 0.1) / 3

0.336/3

0.112

Expressed as a percentage:

= 11.2%

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