Why Choose Us?
0% AI Guarantee
Human-written only.
24/7 Support
Anytime, anywhere.
Plagiarism Free
100% Original.
Expert Tutors
Masters & PhDs.
100% Confidential
Your privacy matters.
On-Time Delivery
Never miss a deadline.
Sarah borrowed $100,000 at 8% for 10 years on January 1, 2020 from a local bank
Sarah borrowed $100,000 at 8% for 10 years on January 1, 2020 from a local bank. The loan is supposed to be paid back interest only for the first 5 years and principal and interest together starting beginning year six. The loan will be paid off on December 31, 2030. How much total interest she will pay at the end of year 2030?
Expert Solution
The initial loan was taken for 100,000
For the first 5 yrs , the loan has been paid back the interest only
So the Interest for each year = 100,000 * 8% = 8000 per year
Total interest for 5 Year (INTEREST 1) = 5 * 8000 = 40,000
Now the loan is amortized for both principal and interest for the remaining 5 years
So the
Amortization payments
payment = P*(i) / ( 1- (1+i) ^–t
Where p = principal
I = interest rate
T = time
payment = P*(i/m) / ( 1- (1+i/m) ^–mt = 100,000 *(0.08) /1-(1+0.08)^-5 = 25,045.65
So the Yearly payment are = $ 25,045.65
Total instalment paid on the loan = 25045.65 * 5 = 125,228.23
So the interest part is = 125,228.23 – 100,000 = 25,228.23
Hence to total interest paid is = Lat 5 yrs interest + First 5 yrs interest = 25,228.23 + 40,000 = 65,228.23
Archived Solution
You have full access to this solution. To save a copy with all formatting and attachments, use the button below.
For ready-to-submit work, please order a fresh solution below.





