Question

Daniel and Jan agreed to pay $544,000 for a four-bedroom colonial home in Waltham, Massachusetts, with a $70,000 down payment. They have a 30-year mortgage at a fixed rate of 6.00%.

a. How much is their monthly payment? (Do not round intermediate calculations. Round your answer to the nearest dollar amount.)


Monthly payment            $


b. After the first payment, what would be the balance of the principal? (Do not round intermediate calculations. Round your answers to the nearest dollar amount.)

Payment number Portion to— Balance of loan outstanding
Interest Principal
1 $ $ $

TABLE 15.1 Amortization table (mortgage principal and interest per $1,000) INTEREST Term in years 34% 5% 5% 6% 6% 7% 7% 8% 8%

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Answer #1

Loan amount = Present value of future monthly payments = monthly payment * [1-(1+i)^-n]/i

i = interest rate per period

n = number of periods

=>

loan amount = 544000 - 70000 = 474000

=>

monthly payment * [1-(1+0.06/12)^-360]/(0.06/12) = 474000

=>

monthly payment = 2841.87

b)

interest = 474000 * 6%/12 = 2370

principal = 2841.87 - 2370 = 471.87

Payment number Portion to— Balance of loan outstanding
Interest Principal
1 $2370 $ 471.87 $473528.13
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