ECONOMICS (CBSE/UGC NET)

ECONOMICS

COMPOUND INTEREST

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Derrick wants to calculate the interest he would earn from investing $400 into an account that earns 5.5% annual compound interest for 60 months. Which of the following formulas is set up correctly?
A
A = 400(1 + 5.5)60
B
A = 400(1 + 5.5)5
C
A = 400( 1 + .055)60
D
A = 400(1 + .055)5
Explanation: 

Detailed explanation-1: -Here’s the simple interest formula: Interest = P x R x T. P = Principal amount (the beginning balance). R = Interest rate (usually per year, expressed as a decimal). T = Number of time periods (generally one-year time periods).

Detailed explanation-2: -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-3: -The monthly compound interest formula is used to find the compound interest per month. The formula of monthly compound interest is: CI = P(1 + (r/12) )12t-P where, P is the principal amount, r is the interest rate in decimal form, and t is the time.

Detailed explanation-4: -If you’d like to calculate a total value for principal and interest that will accrue over a particular period of time, use this slightly more involved simple interest formula: A = P(1 + rt). A = total accrued, P = the principal amount of money (e.g., to be invested), r = interest rate per period, t = number of periods.

There is 1 question to complete.