In: Finance
Suppose your gross monthly income is $5,400 and your current monthly payments are $425. If the bank will allow you to pay up to 36% of gross monthly income (less current monthly payments) for a monthly house payment, what is the maximum loan you can obtain if the rate for a 30-year mortgage is 4.65%? (Round your answer to the nearest cent.)
Monthly income | $ 5,400 | |||
Monthly payments | $ 425 | |||
Net | $ 4,975 | |||
Maximum installment allowed | 36% | |||
Maximum installment allowed | 4975*36% | |||
Maximum installment allowed | $ 1,791.00 | |||
Maximum loan will be the present value of all installments | ||||
PV of annuity for making pthly payment | ||||
P = PMT x (((1-(1 + r) ^- n)) / i) | ||||
Where: | ||||
P = the present value of an annuity stream | To be computed | |||
PMT = the dollar amount of each annuity payment | $ 1,791.00 | |||
r = the effective interest rate (also known as the discount rate) | 4.75% | ((1+4.65%/12)^12)-1) | ||
i=nominal Interest rate | 4.65% | |||
n = the number of periods in which payments will be made | 30 | Years | ||
Maximum loan amount= | PMT x (((1-(1 + r) ^- n)) / i) | |||
Maximum loan amount= | 1791* (((1-(1 + 4.75%) ^- 30)) / 4.65%) | |||
Maximum loan amount= | $28,944.79 |