Olivia takes a mortgage (loan) of $250000 to buy an apartment in Sydney. Interest on the loan accumulates at the rate of $3.49% per year, compounded semi-annually. Olivia agrees with the bank to amortise the loan in monthly payments, made at the beginning of each month. (a) Given that the loan is to be amortised over 30 years, find: (1) the monthly payment amount (1i) the total amount paid in amortising the loan, (b) Olivia has the capacity Lo increase her monthly payments by 885. Justify to Olivia why this may be a smart financial choice.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Olivia takes a mortgnge (loan) of $250000 to buy an apartment in Sydney. Interest on the loan
accumulates at the rate of $3.49% per year, compounded semi-annually. Olivia agrees
with the bank to amortise the loan in monthly payments, made at the beginning of each
month.
(a) Given that the loan is to be amortised over 30 years, find:
(1) the monthly payment amount;
(1i) the total amount paid in amortising the loan.
(b) Olivia has the capacity to increase her monthly payments by $85. Justify to Olivia
why this may be a smart financial choice,
Transcribed Image Text:Olivia takes a mortgnge (loan) of $250000 to buy an apartment in Sydney. Interest on the loan accumulates at the rate of $3.49% per year, compounded semi-annually. Olivia agrees with the bank to amortise the loan in monthly payments, made at the beginning of each month. (a) Given that the loan is to be amortised over 30 years, find: (1) the monthly payment amount; (1i) the total amount paid in amortising the loan. (b) Olivia has the capacity to increase her monthly payments by $85. Justify to Olivia why this may be a smart financial choice,
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