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You are thinking of purchasing a house
You are thinking of purchasing a house. The house costs $250,000. You have $20,000 in cash that you can use as a down payment on the house, but you need to borrow the rest of the purchase price. The bank is offering a 20-year mortgage that requires annual payments and has an interest rate of 6% per year. What will your annual payment be if you sign up for this mortgage?
Expert Solution
loan = price-down =250000-20000 =230000
| PVOrdinary Annuity = C*[(1-(1+i/100)^(-n))/(i/100)] |
| C = Cash flow per period |
| i = interest rate |
| n = number of payments |
| 230000= Cash Flow*((1-(1+ 6/100)^-20)/(6/100)) |
| Cash Flow = 20052.45 |
| Using Calculator: press buttons "2ND"+"FV" then assign |
| PV =-230000 |
| I/Y =6 |
| N =20 |
| FV = 0 |
| CPT PMT |
| Using Excel |
| =PMT(rate,nper,pv,fv,type) |
| =PMT(6/(100),20,,230000,) |
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