Answer:
B
Step-by-step explanation:
The amortization period in months is:
30 years * 12 = 360 months
The monthly interest rate would be 5.25%/12 = 0.004375
The payment for monthly mortgage formula would be:
![E=\frac{C*r}{1-(1+r)^{-n}}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7BC%2Ar%7D%7B1-%281%2Br%29%5E%7B-n%7D%7D)
Where
E is the monthly mortgage payment
C is the cost of mortgage, cost is $150,000
r is the monthly rate of interest, which is 0.004375
n is the period, in months, which is 360
Substituting, we get our answer:
![E=\frac{C*r}{1-(1+r)^{-n}}\\E=\frac{150,000*0.004375}{1-(1+0.004375)^{-360}}\\E=\frac{656.25}{1-(1.004375)^{-360}}\\E=\frac{656.25}{0.7923}\\E=828.31](https://tex.z-dn.net/?f=E%3D%5Cfrac%7BC%2Ar%7D%7B1-%281%2Br%29%5E%7B-n%7D%7D%5C%5CE%3D%5Cfrac%7B150%2C000%2A0.004375%7D%7B1-%281%2B0.004375%29%5E%7B-360%7D%7D%5C%5CE%3D%5Cfrac%7B656.25%7D%7B1-%281.004375%29%5E%7B-360%7D%7D%5C%5CE%3D%5Cfrac%7B656.25%7D%7B0.7923%7D%5C%5CE%3D828.31)
So, the correct answer is B