Question

In: Finance

You are buying a new house on a 30-year, 6.2% mortgage loan of $230,000. A. How...

You are buying a new house on a 30-year, 6.2% mortgage loan of $230,000.

A. How much will your monthly payments be?

B. How much will go toward principal in the 55th month? How much will go toward interest in the 55th month? What will be the balance after 55 months?

C. How much interest will you pay in total over the 30 years?

D. If you do a 15-year loan instead of a 30-year one, how much will you save in total interest?

Solutions

Expert Solution

A. Monthly Payment =-pmt(rate,nper,pv,fv)
= $ 1,408.68
Where,
rate = 6.2%/12 = 0.005166667
nper = 30*12 = 360
pv = $       2,30,000
fv = 0
B. Principal repaid in 55th Payment $           291.04
Interest repaid in 55th Payment $       1,117.63
Balance after 55th Payment $ 2,16,025.16
Working:
Balance after 54th Payment =pv(rate,nper,pmt,fv) Where,
$ 2,16,316.20 rate = 0.00516667
nper = 360-54 = 306
pmt = $ -1,408.68
fv = 0
Month Beginning Loan Interest Payment Principal Repaid Ending Loan
a b=a*6.2%*1/12 c d=c-b e=a-d
55 $ 2,16,316.20 $ 1,117.63 $ 1,408.68 $           291.04 $ 2,16,025.16
C. Interest Paid $ 2,77,124.31
Working:
Total repayment $       1,408.68 * 360 = $ 5,07,124.31
Loan amount $ 2,30,000.00
Interest $ 2,77,124.31
D. Saving in Interest $ 1,53,278.45
Working:
Monthly Payment =-pmt(rate,nper,pv,fv)
= $ 1,965.81
Where,
rate = 6.2%/12 = 0.0051667
nper = 15*12 = 180
pv = $ 2,30,000
fv = 0
Total repayment = $       1,965.81 * 180 = $ 3,53,845.86
Loan amount $ 2,30,000.00

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