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share of stock increased 2% in a week. If it could continue to grow at the...

share of stock increased 2% in a week. If it could continue to grow at the same rate for a year, what would the effective annual rate of return be? A. 52% B. 104% C. 180% D. 280% E. 300%

Please show math and formulas used. Thanks

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Answer #1

Effective annual rate of interest

=[ ( 1 + Rate of interest per year / Number of compounding)^ Number of compounding – 1] x 100

Now, Rate of interest per year / Number of compounding

= Rate of interest per year / Number of weeks

= Yearly rate / 52 weeks

= Weekly rate of interest

= 2%

Number of compounding = 52

So, Effective annual rate

= [ ( 1 + 2 / 100) ^ 52 – 1] x 100

= [ 2.800 – 1] x 100

= 1.800 x 100

= 180%

So, as per above calculations, option C is the correct option

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