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If the effective rate of interest is 12% per annum and the interest is compounded quarterly, the nominal rate of interest per annum
  • a)
    11.78 %
  • b)
    11.21 %
  • c)
    11.89%
  • d)
    11.49 %
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If the effective rate of interest is 12% per annum and the interest is...
Effective Rate of Interest and Compounding Frequency

Effective Rate of Interest refers to the actual interest rate earned on a loan or investment, taking into account the effect of compounding. Compounding frequency refers to the number of times per year the interest is added to the principal amount.

Nominal Rate of Interest

Nominal Rate of Interest refers to the stated or nominal rate of interest that does not take into account the effect of compounding. It is also known as the annual percentage rate (APR).

Calculation

In this problem, the effective rate of interest is given as 12% per annum, compounded quarterly. Therefore, we can calculate the nominal rate of interest per annum as follows:

Effective Annual Rate = (1 + Nominal Rate/Compounding Frequency)^(Compounding Frequency) - 1

12% = (1 + Nominal Rate/4)^4 - 1

Solving for Nominal Rate, we get:

Nominal Rate = 11.49%

Therefore, option D is the correct answer.
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If the effective rate of interest is 12% per annum and the interest is...
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If the effective rate of interest is 12% per annum and the interest is compounded quarterly, the nominal rate of interest per annuma)11.78 %b)11.21 %c)11.89%d)11.49 %Correct answer is option 'D'. Can you explain this answer?
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