Question

In: Finance

Suppose your gross monthly income is $5,400 and your current monthly payments are $425. If the...

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.)

Solutions

Expert Solution

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

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