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Time value of money

For quarterly compounding, some question have calculated PV by calculating the EAR first, then used EAR to determine PV. So far I have been using the approach of compounding periods e.g. N=no of compounding periods i.e. if 5 years and quarterly compounding means N=20 and if the given rate is 5% then I/Y=5/4. Is there any difference in two approaches? Do they both lead to same result? Am I confused between bond and TVM problems?

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