Question

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2.
3.
4.
Answer (Detailed Solution Below)

Option 4 : 10.25% / 10.25%

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Detailed Solution

सही उत्तर 10.25% / 10.25% है।

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Question:

What is the effective annual rate of interest equivalent to a nominal rate of 10% per annum compounded half-yearly? / अर्द्धवार्षिक चक्रवृद्धि वाली 10% वार्षिक नाममात्र दर के समतुल्य प्रभावी वार्षिक ब्याज दर कितनी है?

1.
10% / 10%
2.
10.5% / 10.5%
3.
10.2% / 10.2%
4.
10.25% / 10.25%

Correct Answer: 10.25% / 10.25%

The half-yearly rate is 5%; effective annual rate = $(1.05)^2 - 1 = 1.1025 - 1 = 10.25\%$. The trap is treating compounding as simple addition. / अर्द्धवार्षिक दर 5% है; प्रभावी वार्षिक दर = $(1.05)^2 - 1 = 1.1025 - 1 = 10.25\%$। भ्रम चक्रवृद्धि को साधारण जोड़ मानने में है।

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