Answer:
The maximum amount that the lender will be willing to provide to the borrower is $9,006.
Explanation:
Fixed payment for a specified period is know as the annuity. We will use the formula of present value of present value of annuity payment.
APV = C x [ ( 1 - ( 1 + i )^-n ) / i ]
C = Monthly payment = $800
Interest rate =i 8% = 0.08
n = number of years = 30 years
APV = $800 x [ ( 1 - ( 1 + 0.08 )^-30)/0.08 ]
APV = $800 x 11.2578
APV = $9,006
So, The maximum amount that the lender will be willing to provide to the borrower is $9,006.
