Kevin takes out a home loan for $150,000. Payments are made at the end of every month for 30 years. The annual effective interest rate is 9%. At the end of the 10th year, just after the payment is made, Kevin pays an additional $10,000 in principle. The size of the future level payment doesn't change, but the loan will be paid off early. The last payment will be smaller than the level payment amount. a) Calculate the outstanding loan balance just after the additional $10,000 in principle is paid. b) Calculate the size and amount of the last payment. c) Calculate the total interest paid on the loan over the full time period.
Kevin takes out a home loan for $150,000. Payments are made at the end of every month for 30 years. The annual effective interest rate is 9%. At the end of the 10th year, just after the payment is made, Kevin pays an additional $10,000 in principle. The size of the future level payment doesn't change, but the loan will be paid off early. The last payment will be smaller than the level payment amount. a) Calculate the outstanding loan balance just after the additional $10,000 in principle is paid. b) Calculate the size and amount of the last payment. c) Calculate the total interest paid on the loan over the full time period.
Chapter1: Making Economics Decisions
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![Kevin takes out a home loan for $150,000. Payments are made at the end of
every month for 30 years. The annual effective interest rate is 9%. At the end of the 10th year,
just after the payment is made, Kevin pays an additional $10,000 in principle. The size of the
future level payment doesn't change, but the loan will be paid off early. The last payment will be
smaller than the level payment amount.
a) Calculate the outstanding loan balance just after the additional $10,000 in principle is paid.
b) Calculate the size and amount of the last payment.
c) Calculate the total interest paid on the loan over the full time period.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b2e65f2-c472-45bf-885c-00dffce84016%2Fb69d4109-5161-46c7-b53d-1639c1fde81d%2Fyzw5uh_processed.png&w=3840&q=75)
Transcribed Image Text:Kevin takes out a home loan for $150,000. Payments are made at the end of
every month for 30 years. The annual effective interest rate is 9%. At the end of the 10th year,
just after the payment is made, Kevin pays an additional $10,000 in principle. The size of the
future level payment doesn't change, but the loan will be paid off early. The last payment will be
smaller than the level payment amount.
a) Calculate the outstanding loan balance just after the additional $10,000 in principle is paid.
b) Calculate the size and amount of the last payment.
c) Calculate the total interest paid on the loan over the full time period.
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