Over the past 40 years, Interest rates have varied widely. The rate for a 30-year mortgage reached a high of 14.75% In July 1984, and it reached 3.31% in November 2012. A significant impact of lower intere rates on society is that they enable more people to afford the purchase of a home. In the following exercise, we consider the purchase of a home that sells for $125,000. Assume that we can make a down payment of $25,000, so we need to borrow $100,000. We assume that our annual income is $52,000 and that we have no other debt. If we can afford to pay a monthly amount of $963.33, determine how much we can borrow if the term is 30 years and the interest rate is at the historic high of 14.75%. (Round your answer to the nearest doll Can we afford the home? O Yes O No If we can afford to pay a monthly amount of $963.33, determine how much we can borrow if the term is 30 years and the interest rate is 3.31%. (Round your answer to the nearest dollar.) Can we afford the home now? O Yes O No How much more can you afford to borrow when the 30-year mortgage rate is at 3.31% compared to 14.75%?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Over the past 40 years, Interest rates have varied widely. The rate for a 30-year mortgage reached a high of 14.75% In July 1984, and it reached 3.31% in November 2012. A significant impact of lower interest
rates on society is that they enable more people to afford the purchase of a home. In the following exercise, we consider the purchase of a home that sells for $125,000. Assume that we can make a down
payment of $25,000, so we need to borrow $100,000. We assume that our annual income is $52,000 and that we have no other debt.
If we can afford to pay a monthly amount of $963.33, determine how much we can borrow if the term is 30 years and the interest rate is at the historic high of 14.75%. (Round your answer to the nearest dollar
Can we afford the home?
O Yes
O No
If we can afford to pay a monthly amount of $963.33, determine how much we can borrow if the term is 30 years and the interest rate is 3.31%. (Round your answer to the nearest dollar.)
$1
Can we afford the home now?
O Yes
O No
How much more can you afford to borrow when the 30-year mortgage rate is at 3.31% compared to 14.75%?
Transcribed Image Text:Over the past 40 years, Interest rates have varied widely. The rate for a 30-year mortgage reached a high of 14.75% In July 1984, and it reached 3.31% in November 2012. A significant impact of lower interest rates on society is that they enable more people to afford the purchase of a home. In the following exercise, we consider the purchase of a home that sells for $125,000. Assume that we can make a down payment of $25,000, so we need to borrow $100,000. We assume that our annual income is $52,000 and that we have no other debt. If we can afford to pay a monthly amount of $963.33, determine how much we can borrow if the term is 30 years and the interest rate is at the historic high of 14.75%. (Round your answer to the nearest dollar Can we afford the home? O Yes O No If we can afford to pay a monthly amount of $963.33, determine how much we can borrow if the term is 30 years and the interest rate is 3.31%. (Round your answer to the nearest dollar.) $1 Can we afford the home now? O Yes O No How much more can you afford to borrow when the 30-year mortgage rate is at 3.31% compared to 14.75%?
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