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

Which is the better rate for an investor: 12.2% compounded semiannually or 12% compounded monthly?

  1. 12.2% compounded semiannually (effective rate 12.57% versus 12.68%)
  2. They are equivalent
  3. 12% compounded monthly (effective rate 12.68% versus 12.57%)
  4. Cannot be compared without the principal

Answer

C. 12% compounded monthly (effective rate 12.68% versus 12.57%)

Solution

Compare effective rates. 12.2% semiannual: (1.061)2-1=12.57%. 12% monthly: (1.01)12-1=12.68%. The monthly rate gives the higher effective rate.

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  1. Find the nominal rate compounded quarterly that is equivalent to 9% compounded monthly.
  2. Find the effective rate equivalent to 14% compounded monthly.
  3. Find the effective rate of interest equivalent to a nominal rate of 12% compounded monthly.
  4. Find the effective rate of interest equivalent to a nominal rate of 8% compounded quarterly.
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  6. Find the nominal rate compounded monthly that is equivalent to an effective rate of 12.68%.
  7. A bank offers 6% compounded daily (assume 360 days/year). Find the equivalent effective annual rate.
  8. Given the same nominal rate, which compounding frequency yields a higher effective rate: monthly or quarterly?
  9. Find the nominal rate compounded semi-annually that gives an effective annual rate of 8.16%.
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