Answer:
The amount due under quarterly compounding is higher by =$ 187.12
Explanation:
To determine the amount money by which the quarterly compunding is greater, we would compare the total sum due under the two compounding options.
This is done below:
Quarterly compounding
FV = A × (1+r)^n
PV - principal amount owed = 6,000
r- quarterly interest rate = 12%/4 = 3% per three month
n - number of quarters in 4 years = 4× 4 = 16
Loan amount due with interest after 4 years
= 6,000× (1.03)^(48) = 9628.23
Annual compounding
PV - principal amount owed = 6,000
r- annual interest rate = 12% =
n - number of years = 4
Loan amount due =6,000× (1.12)^(4) = 9,441.12
The amount due under quarterly compounding is higher by
= 9628.23 - 9,441.12
=$ 187.12
