Answer:
The monthly payment on the mortgage pass-through is $110,064.69.
Explanation:
The monthly payment on the mortgage pass-through can be calculated using the formula for calculating the present value of an ordinary annuity as follows:
PV = M * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)
Where;
PV = Present value or principal of the pass-through = 100 * $150,000 = $15,000,000
P = Monthly payment on the mortgage pass-through = ?
r = monthly interest rate = fixed annual interest rate / 12 = 8% / 12 = 0.08 / 12 = 0.00666666666666667
n = number of months = 30 years * 12 months = 360
Substitute the values into equation (1) and solve for M, we have:
$15,000,000 = M * ((1 - (1 / (1 + 0.00666666666666667))^360) / 0.00666666666666667)
$15,000,000 = M * 136.283494133963
M = $15,000,000 / 136.283494133963
M = $110,064.69
Therefore, the monthly payment on the mortgage pass-through is $110,064.69.
