ECONOMICS (CBSE/UGC NET)

ECONOMICS

COMPOUND INTEREST

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
You invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have in the account after 4 years.
A
$800.26
B
$6, 701.28
C
$10, 138.07
D
$1, 923.23
Explanation: 

Detailed explanation-1: -You would have about $1923.23 after 4 years.

Detailed explanation-2: -"12% interest compounded monthly” means that the interest rate is 12% per year (not 12% per month), compounded monthly. Thus, the interest rate is 1% (12% / 12) per month. “1% interest per month compounded monthly” is unambiguous.

Detailed explanation-3: -Compound interest, can be calculated using the formula FV = P*(1+R/N)^(N*T), where FV is the future value of the loan or investment, P is the initial principal amount, R is the annual interest rate, N represents the number of times interest is compounded per year, and T represents time in years.

Detailed explanation-4: -The formula for calculating compound interest is P = C (1 + r/n)nt – where ‘C’ is the initial deposit, ‘r’ is the interest rate, ‘n’ is how frequently interest is paid, ‘t’ is how many years the money is invested and ‘P’ is the final value of your savings.

There is 1 question to complete.