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You are making monthly payments of $985
You are making monthly payments of $985.47 on a 15 year, 3.80% mortgage. a. What is your outstanding balance after 4 years of payments b. What is your outstanding balance after 5 years of payments c. How much did you pay the bank in the 5" year d. How much was applied to the principle in the 5" year e. How much interest did you pay in the 5" year
Expert Solution
a
Monthly payment (P)= 985.47
remaining years after 4 years = 15-4 =11
remaining months (n)=11*12 =132
interest rate per month (i)=3.8%/12=0.003166666667
Unpaid balance formula (PV)=P *(1-(1/(1+i)^n))/i
985.47*(1-(1/(1+0.003166666667)^132))/0.003166666667
=106182.6766
So loan balance after 4 years is $106182.68
b
Monthly payment (P)= 985.47
remaining years after 5 years = 15-5=10
remaining months (n)=10*12 =120
interest rate per month (i)=3.8%/12=0.003166666667
Unpaid balance formula (PV)=P *(1-(1/(1+i)^n))/i
985.47*(1-(1/(1+0.003166666667)^120))/0.003166666667
=$98,254.85
So loan balance after 5 years is $98,254.85
c
Total payment made in year 5 = monthly payment * number of month in year
=985.47*12
=$11,825.64
So We paid $11,825.64 to bank in year 5
d
Amount applied to principal = loan balance after 4 years - loan balance after 5 years
=106182.68-98254.85
=$7,927.83
So amount applied to principal during 5th year is $7,927.83
e
interest paid in 5th year = Total payment made - payment made towards principal
=11825.64-7927.83
=$3,897.81
So interest paid in 5th year is $3,897.81
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