ECONOMICS (CBSE/UGC NET)

ECONOMICS

COMPOUND INTEREST

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Damara invests $3500 at 2% compounded continuously for 5 years. How much will she have in her account after 5 years?
A
$3868.10
B
$3886.10
C
$3688.10
D
$3286.10
Explanation: 

Detailed explanation-1: -Calculating the limit of this formula as n approaches infinity (per the definition of continuous compounding) results in the formula for continuously compounded interest: FV = PV x e (i x t), where e is the mathematical constant approximated as 2.7183.

Detailed explanation-2: -How do you calculate interest compounded continuously? To compute interest compounded continuously, you need to apply the following formula. Interest = (Initial balance × ert)-Initial balance, where e, r, and t stand for exponential constant, periodic interest rate, and the number of periods, respectively.

Detailed explanation-3: -One example of continuous compounding in action is an account that earns interest at a rate of 14% per year, compounded monthly. The balance continually earns interest, which is added to the balance, and because there are 12 months in a year, the account balance increases by 1.17% each month.

There is 1 question to complete.