Aya and Sakura have now saved up their down payment to buy a home, but they still need to borrow to cover the rest.  For the home they want this will require a mortgage of $450,000 to cover the remaining amount and they’re not sure whether they could afford the monthly loan payments.  The bank has offered them a mortgage interest rate of 3.75%, compounded monthly.  How much would they have to be able to afford to pay each month in order to pay off their mortgage in 25 years?  What is the total amount that would be paid to the lender after 25 years of payments?

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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q9 Aya and Sakura have now saved up their down payment to buy a home, but they still need to borrow to cover the rest.  For the home they want this will require a mortgage of $450,000 to cover the remaining amount and they’re not sure whether they could afford the monthly loan payments.  The bank has offered them a mortgage interest rate of 3.75%, compounded monthly. 

How much would they have to be able to afford to pay each month in order to pay off their mortgage in 25 years? 

What is the total amount that would be paid to the lender after 25 years of payments? 

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