Question

In: Finance

Imagine you have $50,000 for a house down payment for a $250,000 home. What are the...

Imagine you have $50,000 for a house down payment for a $250,000 home. What are the monthly payments on a 30-year, fixed-rate mortgage of $200,000 assuming your mortgage carries a 5% interest rate. If you pay off the mortgage after thirty years, how much will you have paid in interest beyond the price of the house itself?

Solutions

Expert Solution

Amount financed : Cost -down payment

                      = 250000-50000

                      = $ 200000

Part 1 )monthly rate : 5/12 = .41667%

Number of months = 30 *12= 360

Monthly payment = Amount financed /PVA.41667%,360

                          = 200000/ 186.28045

                          = 1073.65 per month

**Find present value annuity factor using financial calculator where i= .41667% ,n= 360 ,PMT =1

part 2)Total amount paid over 360 months : 360 *1073.65

                                                                 = $ 386514

Interest paid = Total amount paid - amount financed

                      = 386514 -200000

                      = $ 186514


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