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A financial institution offers a "double-your-money" savings account in which you will have $2 in 6...

A financial institution offers a "double-your-money" savings account in which you will have $2 in 6 years for every dollar you invest today. What stated annual interest rate (assuming semi-annual compounding) does this account offer? Please specify your answer in decimal terms and round your answer to the nearest thousandth (e.g., enter 12.3 percent as 0.123).

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Answer #1

Semiannual compounding is there      
So no of periods of compounding in 6 years(n)=      
6*2=   12  
Amount invested (present value)=   $1  
Future value=   $2  
      
rate of return formula =( (future value/present value)^(1/n)) -1      
((2/1)^(1/12))-1      
      
0.05946309436      
      
Annual rate =Semiannual Rate*2      
0.05946309436   *2  
0.1189261887
      
So stated annual rate is 0.1189 compounded semiannually      
  

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