In: Operations Management
Mortgage Information | |
Annual Interest Rate | 4.90% |
Repayment Years | 30 |
Price of House | $275,000 |
Down Payment | $55,000 |
Principal of Loan | |
Monthly Payments |
On the Mortgage worksheet, use the data provided to enter a formula in cell B6 to calculate the principal of the loan that will be required to purchase the house.
On the Mortgage worksheet, use the PMT function in cell B7 to calculate the monthly payments of the mortgage. Use cell locations from this worksheet to define each argument of the function. Assume that payments are made at the end of each month.
Following information is given in the question:
Mortgage Information |
|
Annual Interest Rate |
4.90% |
Repayment Years |
30 |
Price of House ($) |
2,75,000 |
Down Payment ($) |
55,000 |
We need to compute the Principal of loan ant the Monthly payment when the payments are made at the end of each month.
Principal of Loan = (Price of House - Down Payment) = 275000-55000 =$ 220000
Monthly Payments using PMT
Annual Interest Rate = 4.90%
So, Monthly interest Rate = (Annual Interest Rate/12) = 4.90%/12 = 0.41%
Repayment Years = 30 years
So, Repayment Months = (Repayment Years*12) = 30*12 = 360 months
Principal is already calculated above, and the value has been shown in Cell B6. Lets calculate Monthly payment using excel PMT function:
Monthly Payment = PMT(Rate,Nper,Pv,[Fv],[Type])
Rate is monthly interest rate
Nper is repayment period in months
Pv is Present Value i.e. Principal amount or borrowed amount
Fv is Future value which after repayment will be “0”
Type is if the monthly payment is done at the end of every month it will be “0”
Mortgage Information |
||
Monthly interest Rate = (Annual Interest Rate/12) |
0.41% |
Rate |
Repayment Months = (Repayment Years*12) |
360 |
Nper |
Price of House |
2,75,000 |
|
Down Payment |
55,000 |
|
Principal of Loan = (Price of House - Down Payment) |
220000 |
Pv |
Monthly Payments |
-1167.60 |
PMT |
This when we calculate in the excel will look like this:
Monthly Payment= PMT(Rate,Nper,Pv,[Fv],[Type])
=PMT(B2,B3,B6,0,0)
Monthly Payment= $ -1167.60