If you borrow N$150,000 for a house at an 8% compound annual interest rate for 30 years, what is your monthly payment?

To calculate the monthly payment for a loan, you can use the formula for the monthly payment on an amortizing loan, which is:

P = [r*PV] / [1 - (1 + r)^-n]

Where: P = monthly payment r = monthly interest rate (annual rate / 12) PV = loan amount (present value) n = total number of payments (loan term in months)

Given in the problem: PV = N$150,000 Annual interest rate = 8% (or 0.08 as a decimal) Loan term = 30 years

Step 1: Convert the annual interest rate to a monthly rate: 0.08 / 12 = 0.00666667 (this is r)

Step 2: Convert the loan term in years to months: 30 years * 12 = 360 months (this is n)

Step 3: Substitute these values into the formula:

P = [0.00666667 * 150,000] / [1 - (1 + 0.00666667)^-360]

Step 4: Calculate the numerator (top part of the fraction): 0.00666667 * 150,000 = N$1000

Step 5: Calculate the denominator (bottom part of the fraction): 1 - (1 + 0.00666667)^-360 = 0.834

Step 6: Divide the numerator by the denominator: 1000 / 0.834 = N$1199.04

So, the monthly payment for a N$150,000 loan at an 8$1199.04.