Answer:
30-year loan at 5-1/2% ⇒ MAXIMUM LOAN $176,100
using a loan amortization table, you will pay $5.6786 for every $1,000 that you borrow, so you can borrow up to $1,000 / $5.6786 = 176.1 thousands
principal = $176,100
first payment:
interests = $176,100 x 0.055 x 1/12 = $807.13
repaid principal = $192.87
20-year loan at 4-1/2% ⇒ MAXIMUM LOAN $158,000
using a loan amortization table, you will pay $6.3291 for every $1,000 that you borrow, so you can borrow up to $1,000 / $6.3291 = 158 thousands
principal = $158,000
first payment:
interests = $158,000 x 0.045 x 1/12 = $592.50
repaid principal = $407.50
1. The maximum loan a borrower can take, if he can afford to make a monthly payment of $1,000, including principal and interest, for a 30-year loan at 5.5% interest, is $176,100.
2. The maximum loan a borrower can take, if he can afford to make a monthly payment of $1,000, including principal and interest, for a 20-year loan at 4.5% interest, is $158,100.
Data and Calculations:
a) N (# of periods) 360 months (30 x 12)
I/Y (Interest per year) = 5.5%
PMT (Periodic Payment) = $1,000
FV (Future Value) = $0
Results:
PV = $176,121.76
Sum of all periodic payments = $360,000 ($1,000 x 360)
Total Interest = $183,878.24
b) N (# of periods) = 240 months (20 x 12)
I/Y (Interest per year) = 4.5%
PMT (Periodic Payment) = $1,000
FV (Future Value) = $0
Results:
PV = $158,065.44
Sum of all periodic payments = $240,000 ($1,000 x 240)
Total Interest = $81,934.56
Thus, to solve this problem, input $1,000 as the periodic payment on a financial calculator and then calculate the present value of $1,000 at the interest rate for the given period.
Learn more about the present value of a periodic payment here: https://brainly.com/question/24770361
