Answer:
Balance after 30 years = $151,018.50
Explanation:
In order to calculate this, we will calculate the future value on an amount invested, gaining interest over the years of investment, and this is given by:
where:
FV = future value
PV = present value
r = interest rate
t = time in years.
Hence the future value is calculated as follows:
1. For the first 10 years at 7% interest:
7% interest = 7/100 = 0.07
2. For the last 20 years at 9.5%(0.095) interest:
Note that for the remaining 20 years, the present value (PV) used = 24,589.392, as ending balance after the first 10 years
Total Future value earned = $151,018.50
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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
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