Question

On a piece of paper or on a device with a touch screen, hand write the solution to the following problem. Then photograph or save the file in .pdf form and submit it on this page. You would like to buy a house for $1,000,000. You put $200,000 down, and then get a mortgage for the rest at 4%, compounded monthly. What is the difference in the What is the difference in the monthly payment if you amortize the loan over 30 years vs. 15 years

Answer 1

The difference in monthly payment is:

= $2,098.18.

Step-by-step explanation:

a) Data and Calculations:

Cost of the Mortgage House = $1,000,000

Down payment = $200,000 or 20%

Mortgage interest rate = 4%

Period of Mortgage amortization = 30 or 15

From an online financial calculator:

Monthly Pay: $3,819.32

House Price $1,000,000.00

Loan Amount $800,000.00

Down Payment $200,000.00

Total of 360 Mortgage Payments $1,374,956.05

Total Interest $574,956.05

Mortgage Payoff Date Apr. 2051

Monthly Pay: $5,917.50

House Price $1,000,000.00

Loan Amount $800,000.00

Down Payment $200,000.00

Total of 180 Mortgage Payments $1,065,150.61

Total Interest $265,150.61

Mortgage Payoff Date Apr. 2036

Monthly payment for 15 years = $5,917.50

Monthly payment for 30 years = 3,819.32

Difference in monthly payment = $2,098.18