Suppose a bank gives an interest of 10% per annum compounded annually for a fixed deposit for a period of two years. What should be the simple interest rate per annum if the maturity amount after two years is to remain the same ?

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Q: 4 (CAPF/2022)
Suppose a bank gives an interest of 10% per annum compounded annually for a fixed deposit for a period of two years. What should be the simple interest rate per annum if the maturity amount after two years is to remain the same ?

question_subject: 

Economics

question_exam: 

CAPF

stats: 

0,23,18,5,23,8,5

The simple interest rate per annum must be higher than the original 10% to achieve the same maturity amount after two years because compound interest results in more interest accumulation than simple interest.

Option 1 suggests that simple interest is the same as compound interest, which is incorrect in this scenario.

Option 3 proposes a growth rate of 11% which is higher than the required rate. This would result in a higher maturity amount, thus it is incorrect.

Similarly, Option 4 with a growth rate of 12% will result in an even higher maturity amount.

Option 2 is correct because a growth rate of 10.5% per annum as simple interest should generate the same maturity amount as a 10% per annum compounded annually over the same two-year period. In simple interest, the principal amount remains constant, hence the interest rate needs to be slightly higher to equal the compound interest.