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Emily has been paying off her home loan for 11 years. She has reduced the debt to $337887.99. She has made regular payments of $3,013.71
Emily has been paying off her home loan for 11 years. She has reduced the debt to $337887.99. | |||||||||||||||
She has made regular payments of $3,013.71 over this time. Her orginal home loan was for 25 years | |||||||||||||||
at 6.2% p.a. interest calculated monthly | |||||||||||||||
a. | Calculate how much Emily orginally borrowed approximately tp the nearest thousand of dollars. i.e. write your answer in the form $_ _ _ 000. |
Therefore, AnswerniPVPMTFVP/YC/Y == $ Answer
b. | i. | Calculate how much Emily has paid off after 11 years. | ||||||||
$ Answer | ||||||||||
ii. | Calculate the total repayments Emily has made over 11 years. | |||||||||
$ Answer | ||||||||||
c. | i. | Suppose that after 11 years, Emily adds an extra $150 a month to the repayments. | ||||||||
How many months approximately, will this reduce the term of the loan? | ||||||||||
Calculator input: | ||||||||||
n=n= | Answer | |||||||||
i=i= | Answer | |||||||||
PV=PV= | Answer | |||||||||
PMT=PMT= | Answer | |||||||||
FV=FV= | Answer | |||||||||
P/Y=P/Y= | Answer | |||||||||
C/Y=C/Y= | Answer | |||||||||
Number of months remaining with new repayments amount = | ||||||||||
n= Answer months | ||||||||||
(Round your answer to the best integer value) | ||||||||||
Therefore, the term of the loan will reduce by Answer months. | ||||||||||
(Round your answer to the best integer value) | ||||||||||
ii. | Alternatively, suppose that, after the 11 years, Emily transfers the | |||||||||
remainder of the loan to a bank that has a lower interest rate. | ||||||||||
If Emily is able to repay the remainder of the loan in 13 years, | ||||||||||
What interest rate has the bank been charging? Assume her monthly | ||||||||||
repayments remain at $3,013.71. | ||||||||||
Calculator input: | ||||||||||
n=n= | Answer | |||||||||
i=i= | Answer | |||||||||
PV=PV= | Answer | |||||||||
PMT=PMT= | Answer | |||||||||
FV=FV= | Answer | |||||||||
P/Y=P/Y= | Answer | |||||||||
C/Y=C/Y= | Answer | |||||||||
Therefore, the interest rate with the new bank is = | ||||||||||
i= Answer % p.a. (2 decimal places) | ||||||||||
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