Respuesta :
Answer:
- Monthly Payment for Choice 1=$665.16
- Monthly Payment for Choice 2=$627.10
- Total Closing Cost for Choice 1=$241557.60
- Total Closing Cost for Choice 2=$233456
- (A)Choice 1 be the better choice the monthly payment is higher.
- (D)Choice 2 be the better choice because the monthly payment is lower.
Explanation:
Amount of Loan needed = $140,000
- A point is an optional fee which helps you get a lower interest rate on your loan.
- Closing costs are the fees you pay when obtaining your loan.
Choice 1
30-year fixed rate at 4% with closing costs of $2100 and no points.
Monthly Payment
P=$140,000
Monthly Rate=4% ÷ 12=0.04 ÷ 12=0.0033
n=12 X 30 =360
[tex]=\dfrac{Pr(1+r)^n}{(1+r)^n-1}[/tex]
[tex]=\dfrac{140000X0.0033(1+0.0033)^{360}}{(1+0.0033)^{360}-1}\\=\dfrac{462(1.0033)^{360}}{(1.0033)^{360}-1}\\=\$665.16[/tex]
Monthly Payment=$665.16
Total Closing Cost =(665.16 X 360)+2100=$241557.60
Choice 2
30-year fixed rate at 3.5% with closing costs of $2100 and 4 points.
Monthly Payment
P=$140,000
Monthly Rate=3.5% ÷ 12=0.035 ÷ 12=0.0029
n=12 X 30 =360
[tex]=\dfrac{Pr(1+r)^n}{(1+r)^n-1}[/tex]
[tex]=\dfrac{140000X0.0029(1+0.0029)^{360}}{(1+0.0029)^{360}-1}\\=\dfrac{406(1.0029)^{360}}{(1.0029)^{360}-1}\\=\$627.10[/tex]
Monthly Payment=$627.10
Total Closing Cost =(627.10 X 360)+2100+(4% of 140000)=$233456
