Question

In: Finance

A person purchased a ​$239,127 home 10 years ago by paying 15​% down and signing a​...

A person purchased a ​$239,127 home 10 years ago by paying 15​% down and signing a​ 30-year mortgage at 10.8​% compounded monthly. Interest rates have dropped and the owner wants to refinance the unpaid balance by signing a new 20​-year mortgage at 6 % compounded monthly. How much interest will refinancing​ save?

Solutions

Expert Solution

monthly payment on first loan:

Calculator
Inputs:
FV                   -  
PV 203,257.95
Rate (I/Y) per period 0.900%
Term N payments                360
Output:
PMT ($1,905.02)

Loan balance after 10 years:

Calculator
Inputs:
PV       203,257.95
PMT ($1,905.02)
Rate (I/Y) 0.900%
Term N               120.00
Output:
FV ($183,343.40)

Loan balance is 183,343.40

New monthly payment and interest savings:

Calculator
Inputs:
FV                   -  
PV 183,343.40
Rate (I/Y) per period 0.500%
Term N payments                240
Output:
PMT ($1,313.53)

Interest savings:

Particulars Amount
Total payments old loan 457248
Total payments new loan 315,247.20
Interest saved 142,000.80

Answer is;

140,000

please rate.


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