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For a given nominal interest rate greater than 0%, if the number of compounding periods per year increases (for example, from quarterly to monthly), the

For a given nominal interest rate greater than 0%, if the number of compounding periods per year increases (for example, from quarterly to monthly), the present value of $1000 to be received exactly 10 years from today will:

  1. increase.

  2. decrease.

  3. remain unchanged.

  4. either increase or decrease, depending on the nominal interest rate.

please explain, thanks!

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