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How to determine the periodic rate of 1. interest from the nominal rate? How to determine the number of compound periods for a future value

How to determine the periodic rate of 1. interest from the nominal rate? 

How to determine the number of compound periods for a future value calculation? 

Why is it not clear whether an investor would prefer an interest rate of 5.8% compounded annually over an interest rate of 5.75% compounded monthly (even though 5.8%] 5.75%)?

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