Multiple choice

The effevtive annual rate of interest, corresponding to a nominal rate of 6% per annum payable half yearly, is : प्रभावी वार्षिक ब्याज की दर, एक 6% अर्द्धवार्षिक ब्याज की दर की नामित दर के सापेक्ष क्या है ?

  1. 6.0.6%

  2. 6.07%

  3. 6.08%

  4. 6.09%

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For a nominal rate of 6% per annum compounded half-yearly, the periodic rate per half-year is 6/2 = 3%. The effective annual rate is calculated as (1 + periodic rate)^number of periods - 1 = (1 + 0.03)² - 1 = 1.0609 - 1 = 0.0609 = 6.09%. This formula accounts for the effect of compounding within the year, which makes the effective rate slightly higher than the nominal rate. The compounding effect (interest on interest) adds the extra 0.09%.