In: Finance
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?
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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