Warm-Up Teresa is considering purchasing a home for $220,000 by taking out a loan with an interest rate of 4.3% for 30 years. What would her monthly payment be?

Use the monthly payment formula to calculate the monthly payment for this loan:

M =
M = monthly payment

P = principal

r = interest rate

t = number of years

$1,088.12

Explanation:

The formula for calculating monthly repayments is as below.

M=  P x    r      

              1 − (1+r)−^n

where p is the loan amount = $220,000

r = 4.3per cent or 0.043 % interest rate per year,

 on monthly basis r will be 0.043/12=0.00358%

n = 30 year, which is 30 x 12 months= 360 months

M= $220,000 x 0.00358    

                         1 - (1+0.00358 ) ^ - 360

M=$220,000 x  0.00358  

                         1- 0.2762

M = $220,000 x (0.00358 /0.7238)

M = $220,000 x 0.0049461

M = 1,088.12

Monthly payments will be $1,088.12

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