Engineering Board Exam Reviewer · Nominal and Effective Rate of Interest · medium

Find the nominal rate compounded quarterly that is equivalent to 9% compounded monthly.

  1. 9%
  2. 9.07%
  3. 9.38%
  4. 9.2%

Answer

B. 9.07%

Solution

Effective rate: ≤ft(1+0.09/12 )12-1=0.093807. Set ≤ft(1+r/4 )4=1.093807 r4=0.022669, so r=9.07%.

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