SOLUTION: Investment earns 8.25% annually. Explain how you would calculate i and n when the interest is compounded:

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Question 1173740: Investment earns 8.25% annually. Explain how you would calculate i and n when the interest is compounded:
a) semi-annually for 6 years
b) daily for 3 years

Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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Learn it  (and much  MORE)  from the lesson
    - Compounded interest percentage problems
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Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


a) 8.25% annual, compounded semi-annually:

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:

%281%2Br%2F2%29%5E2+=+1.0825

1%2Br%2F2%29+=+1.0825%5E%281%2F2%29
i+=+r%2F2+=+1.0825%5E%281%2F2%29-1

Use a calculator....

n is the number of compounding periods. 6 years, 2 times a year, so n=6*2=12.

b) 8.25% annual, compounded daily:

Same calculations as above, with a different number of compounding periods per year.

The exact answers depend on whether you use 365 days in a year or, as is often done, the rounded number of 360.

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.