BACHELOR OF BUSINESS ADMINISTRATION

BUSINESS ADMINISTRATION

BUSINESS MATHEMATICS

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Find the future value of a quarterly annuity of $2, 000 at 8% for 4 years compounded quarterly.
A
$32, 000.00
B
$37, 278.00
C
$42, 240.00
D
$36, 240.00
Explanation: 

Detailed explanation-1: -Therefore, the amount received annually through compound interest on Principal = 1000, Rate = 5% and Time = 3 years is Rs. 1, 157.625.

Detailed explanation-2: -We are given that amount of each installment is Rs 500 and we are given that number of installments are 8 quarterly payments. The rate of interest is 8% per annum compounded quarterly. So, we get the present value as Rs. 3662.50.

Detailed explanation-3: -The formula for the future value of an ordinary annuity is F = P * ([1 + I]^N-1 )/I, where P is the payment amount. I is equal to the interest (discount) rate. N is the number of payments (the “^” means N is an exponent). F is the future value of the annuity.

Detailed explanation-4: -Future value is the value of a sum of cash to be paid on a specific date in the future. Therefore, the formula for the future value of an ordinary annuity refers to the value on a specific future date of a series of periodic payments, where each payment is made at the end of a period.

There is 1 question to complete.