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Mr. Jagger is purchasing a $3,000,000 home by borrowing 80% of the purchase price. His loan terms are: 15 years amortization, monthly payments, 5.00% annual interest rate. The monthly payment will be: a. $18,979.05 b. $18,599.47 c. $18,409.68 d. $19,358.63 3.488 points

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facundobuzzetti

Answer:

Monthly payment= $18,979.05

Explanation:

Giving the following information:

Loan (PV)= 3,000,000*0.8= $2,400,000

Monthly interest rate (i)= 0.05/12= 0.00416667

Number of periods (n)= 15*12= 180 months

To calculate the monthly payment, we need to use the following formula:

Monthly payment= (PV*i) / [1 - (1+i)^(-n)]

Monthly payment= (2,400,000*0.00416667) / [1 - (1.00416667^-180)]

Monthly payment= $18,979.05