Answer:
X is $30,000
Explanation:
First, we need to calculate the Amount ofLoan
Amount of Loan = Car price - Down payment = $100,848 - $30,000 = $70,848
This is the situation of annuity payment for 4 years at a 25% interest rate with equal annuity payment each year.
Now we will use the following formula to calculate the value of X
PV of Annuity = Annuity payment x ( 1 - ( 1 + interest rate )^-numbers of years ) / Interest rate
Where
PV of Annuity = Amount of Loan = $70,848
Interest rate = 25%
Numbers of years = 4 years
Annuity Payment = X = ?
Placing values in the formula
$70,848 = X x ( 1 - ( 1 + 25% )^-4 ) / 25%
$70,848 = X x 2.3616
X = $70,848 / 2.3616
X = $30,000
