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1 a) How to calculate the monthly payment using PMT function. b) How to calculat

ID: 3873355 • Letter: 1

Question

1 a) How to calculate the monthly payment using PMT function.

b) How to calculate total morgage cost using the Product function

Is the 13 Monthly Total Mortgage Payment Cost Annual Monthly Monthly # of Years | Downpayment Affordable? Scenario #1 Income | Expenses | payment available for Mortgage $2,860.00| $2,860.00| $2,860.00| $300,000| $300,000| $300,000| 100.00% 20.00% 15.00% 530 $1,000 $30 40,000 $1,640.00| $1,640.00| $1,640.00| $1,640.00$2,860.00$300,000 $1,640.001 $2.860.00| s300,000 $1,640.00$2,860.00 $300,000 $1,640.00| $1,640.00$2,860.00$300,000 $1,640.00$2,860.00$300,000 1,640.00$2,860.00 $4,500.00| 15 16 17 18 19 25 2$4,500 3 $4,500 $4,500 $4,500 6 $4,500 7$4,500 8 $4,500 $4,500 10 SA,500 2.00% 5.00% 5.00% 25 $100,000 $10 $10 $10 $10 $10 $2.860.00| $300,000| 15.00% 21 25 6.00% 6.00% 7.00% 25 $300,000 25 26 27

Explanation / Answer

1a)

The monthly payment can be calculated using PMT function in excel the formula is :

PMT(rate, nper, pv)

where

rate is the interest rate for motnhly payments divide it by 12

nper is the no.of payments for monthly payments multiply it by 12

pv is the loan amount

Ex:

IN scenario 2 :

annual mortgage payment is : 300,000

Interest rate is : 20%

no.of years is : 25

downpayment : 1000

So from the above values we can find values of rate, nper and pv;

here rate = 20%/12 = 1.67%

nper = 25 * 12 = 300 months or 300 payments

pv = annual mortgage amount - downpayment = 300000-1000 = 299000

therefore monthly payment = PMT(1.67,300,299000)

monthly payyment = $5,018.57

1b)

Total motgage cost can be calculated by multiplying monthly payment and total no.of payments

this can be calulated using PRODUCT function

Toatal mortgage cost = PRODUCT(A,B) where A is the monthly payment and B is total no.of payments

Ex:

for scenario 2

we already calculated monthly payment value and it is $5,018.57.

total no.of payments = 25 * 12 = 300

Toatal mortgage cost = PRODUCT(5,018.57,300) = $1505571.00