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 + r)^n] / [(1 + r)^n - 1]

Where: P = monthly payment r = monthly interest rate (annual rate / 12) PV = loan amount (present value) n = 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 + 0.00666667)^360] / [(1 + 0.00666667)^360 - 1]

Step 4: Calculate the value inside the brackets first:

(1 + 0.00666667)^360 = 34.672839

Step 5: Multiply the monthly interest rate by the loan amount and then by the value calculated in step 4:

0.00666667 * 150,000 * 34.672839 = 34,672.839

Step 6: Subtract 1 from the value calculated in step 4 and divide the result from step 5 by this:

34,672.839 / (34.672839 - 1) = N$1,100.65

So, the monthly payment for a N$150,000 loan at an 8$1,100.65.