SOLUTION: Kim Barnes bought a new home for 250,000. She made a 30% down payment and got a 4% 20 year loan. Amortize this loan over the first 2 months. Kim would be able to get a mortgage a

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Question 934252: Kim Barnes bought a new home for 250,000. She made a 30% down payment and got a 4% 20 year loan. Amortize this loan over the first 2 months. Kim would be able to get a mortgage at 3.5%. Is it worth it for Kim to pay one point for the lower interest rate? Support your answer with numbers.
Answer by ptfile(81)   (Show Source): You can put this solution on YOUR website!
Let A = Periodic amount
    R = Interest rate
    N = Number of intervals
    P = Principal
    T = Duration of the loan

Downpayment
(250000)(.30)=75000
250000-75,000=175000









Payment Amount Interest Principal Balance
0                                 175000
1       1060.47 583.33   477.13   174522.87
2       1060.47 581.74   478.72   174044.15









Payment Amount Interest Principal Balance
0                                 175000
1       1014.93 510.42    504.51  174495.49
2       1014.93 508.95    505.98  173989.50

It would be beneficial for Kim to get a lower interest rate for her mortgage.


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