ECONOMICS (CBSE/UGC NET)

ECONOMICS

COMPOUND INTEREST

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
How much more interest is earned if $8, 500 is invested into an account paying compound interest of 4% for 6 years compared to investing the $8, 500 into an account paying simple interest of 4.5% for 5 years?
A
$1, 912.50
B
$2, 255.21
C
$8, 842.71
D
$342.71
Explanation: 

Detailed explanation-1: -Solution: We use the present value formula, where A is $20, 000, r is 6% or 0.06, n is 12, and t is 5 years. Approximately $14, 827.45 should be invested today in order to accumulate to $20, 000 in five years.

Detailed explanation-2: -The result is the number of years, approximately, it’ll take for your money to double. For example, if an investment scheme promises an 8% annual compounded rate of return, it will take approximately nine years (72 / 8 = 9) to double the invested money.

Detailed explanation-3: -You simply take 72 and divide it by the interest rate number. So, if the interest rate is 6%, you would divide 72 by 6 to get 12. This means that the investment will take about 12 years to double with a 6% fixed annual interest rate.

Detailed explanation-4: -For example, a nominal interest rate of 6% compounded monthly is equivalent to an effective interest rate of 6.17%. 6% compounded monthly is credited as 6%/12 = 0.005 every month.

There is 1 question to complete.