document.write( "Question 1173740: Investment earns 8.25% annually. Explain how you would calculate i and n when the interest is compounded: \r
\n" ); document.write( "\n" ); document.write( "a) semi-annually for 6 years\r
\n" ); document.write( "\n" ); document.write( "b) daily for 3 years
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Algebra.Com's Answer #799043 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "a) 8.25% annual, compounded semi-annually:

\n" ); document.write( "You want the periodic interest rate i, when applies 2 times a year, to give an annual interest rate of 8.25%, or 0.0825:

\n" ); document.write( "\"%281%2Br%2F2%29%5E2+=+1.0825\"

\n" ); document.write( "\"1%2Br%2F2%29+=+1.0825%5E%281%2F2%29\"
\n" ); document.write( "\"i+=+r%2F2+=+1.0825%5E%281%2F2%29-1\"

\n" ); document.write( "Use a calculator....

\n" ); document.write( "n is the number of compounding periods. 6 years, 2 times a year, so n=6*2=12.

\n" ); document.write( "b) 8.25% annual, compounded daily:

\n" ); document.write( "Same calculations as above, with a different number of compounding periods per year.

\n" ); document.write( "The exact answers depend on whether you use 365 days in a year or, as is often done, the rounded number of 360.

\n" ); document.write( "Since I don't know which you want to use, and since the calculations are exactly the same as for the first case, I leave the calculations to you.

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