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You have just purchased a home and taken out a $ 5 0 0 , 0 0 0 mortgage. The mortgage has a 3 0

You have just purchased a home and taken out a $ $500, 000$ mortgage. The mortgage has a $30 -$ year term with monthly payments and an APR $($ with semi $-$ annual compounding $)$ of $6.5 % .$ Calculate the monthly mortgage payment and complete the amortization schedule for the first $5$ months. Show appropriate calculation to support your answer.

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