Suppose home owners owe $4.5 trillion in mortgage loans.
Instructions: Enter your responses as a positive whole number (do not include a negative (-) sign).
(a) If the mortgage interest rate is 9 percent, approximately how much are home owners paying in annual mortgage interest? $ billion
(b) If the interest rate drops to 7 percent, by how much will annual interest payments decline? Interest decline of $ billion
ANSWER:
1) Annual mortgage interest = total mortgage loans * mortgage interest rate
total mortgage loans = $4.5 billion
mortgage interest rate = 9%
annual mortgage interest = ($4.5 billion) * 9%
annual mortgage interest = $4.5 billion * .09 = $405 million
thus the house owners pay $405 million in interest.
2) Annual mortgage interest = total mortgage loans * mortgage interest rate
total mortgage loans = $4.5 billion
mortgage interest rate = 7%
annual mortgage interest = ($4.5 billion) * 7%
annual mortgage interest = $4.5 billion * .07 = $315 million
thus the house owners pay $315 million in interest.
Decline in annual unterest payments =annual mortgage interest (9%) - annual mortgage interest (7%)
Decline in annual unterest payments = $405 million - $315 million = $90 million
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