Gavin and Holly purchased a $665,000 condominium in Toronto. They paid 20% of the amount as a down payment and secured a 25-year mortage for the balance. They negotiated a fixed interest rate of 4.2% compounded semi-annually for a 5-year term with repayments made at the end of every month. Their mortgage contract also stated that they may prepay up to 15% of the original principal every year without at interest penalty. At the end of the first year, in addition to the regular monthly payment, they made a lump-sum payment of $27,000. a. What was the size of the monthly payment? Round to the nearest cent b. What was the principal balance at the end of the first year? Round to the nearest cent c. By how much did the amortization period shorten after they made the lump sum payment at the end of the first year?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Gavin and Holly purchased a $665,000 condominium in Toronto. They paid 20% of the
amount as a down payment and secured a 25-year mortage for the balance. They
negotiated a fixed interest rate of 4.2% compounded semi-annually for a 5-year term
with repayments made at the end of every month. Their mortgage contract also stated
that they may prepay up to 15% of the original principal every year without at interest
penalty. At the end of the first year, in addition to the regular monthly payment, they
made a lump-sum payment of $27,000.
a. What was the size of the monthly payment?
Round to the nearest cent
b. What was the principal balance at the end of the first year?
Round to the nearest cent
c. By how much did the amortization period shorten after they made the lump sum
payment at the end of the first year?
Transcribed Image Text:Gavin and Holly purchased a $665,000 condominium in Toronto. They paid 20% of the amount as a down payment and secured a 25-year mortage for the balance. They negotiated a fixed interest rate of 4.2% compounded semi-annually for a 5-year term with repayments made at the end of every month. Their mortgage contract also stated that they may prepay up to 15% of the original principal every year without at interest penalty. At the end of the first year, in addition to the regular monthly payment, they made a lump-sum payment of $27,000. a. What was the size of the monthly payment? Round to the nearest cent b. What was the principal balance at the end of the first year? Round to the nearest cent c. By how much did the amortization period shorten after they made the lump sum payment at the end of the first year?
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