from the figure 1.2682, how did you derive that the interest per for the whole year was $26.82?
J
John MoffatTutor·
Multiplying something by 1.2682 is the same as adding on 0.2682 of the amount, and multiplying by 0.2682 is the same as multiplying by 26.82%.
A
Asif·
Sir, thankyou very much for starting with the logics behind each thing ! Thats the best thing about you !
Sir, in our institute, we are thought to use the following formula to convert a nominal interest rate to an effective interest rate:
r= (1+i/n)^n - 1
where r = effective interest rate
i= nominal interest rate
n = number of periods.
Using this other formula I am getting a different answer to the one you are getting to calculate for Example no.4
And I dont even understand the logic of the above formula.
Please help.
J
John MoffatTutor·
It is the same formula. The question gives the interest as 2% per month, and so the annual rate is (1.02^12) - 1
Had the question said that the nominal interest was 24% per year, then you would have divided 24% by 12 to get the monthly rate of 2%.
A
Asif·
Thankyou for the logic !
J
John MoffatTutor·
You are welcome :-)
C
ceephiri·
Very informative and easy to follow lecture. Thank you
J
John MoffatTutor·
Thank you for your comment :-)
S
Safa·
I didnt understand how we get 1.10 in compound interest. Is it the calculation of interests of the 1st two years?
J
John MoffatTutor·
If you are referring to example 2 in the lecture notes, then the question states that the rate of interest is 10% per year. Multiplying by 1.10 is the same as adding on 10%.
(I do assume that you downloaded the free lecture notes before watching the lecture?)
S
Safa·
Yes sir. Thank you very much!
J
John MoffatTutor·
You are welcome :-)
E
elaineshan·
Hi I noticed that from Chapter 22 to 30 the lecture notes and the lecture video links are being mixed up.
On the lecture note Chapter 22 is Measure of Average and Dispension, however the lecture video for Chapter 22 is about Interest.
Hope opentuition can make the amendment. Thanks
J
John MoffatTutor·
It is because Chapters 22 and 23 are new chapters on topics that have been added to the syllabus for exams from September 2019 onwards. If you are taking the exams this month then ignore these chapters.
Lectures on these two chapters will be uploaded later this week.
X
xueran·
Thank you sir, That's a pretty interesting and useful lesson!!!!!!!!!!!
I hope one day that my classmates can watch lectures on Opentuition without using VPN!!!!!!!!!!!!!!
J
John MoffatTutor·
Thank you for your comment :-)
S
Shaheen Fathima·
Where does the 26.82 come from? I am confused. It's clear till the total amount after one year which is $126.82, but after that, I did not understand the calculation for APR
A
Amalia·
He said we gotta deduct the 1.2682 (the monthly interest) with 1 (from the formula i think) which will be 0.2682 multiply by 100 then 26.82% for the annual rate
A
Amalia·
As 1+R(annual rate) equals to (1+r)12 months which then 1+R=1.2682, we can just deduct 1-1.2682 in order to calculate the annual rate that symbolized as R = 0.2682 then multiply by 100 to find out the percentage 26.82%
Sir, in our institute, we are thought to use the following formula to convert a nominal interest rate to an effective interest rate:
r= (1+i/n)^n - 1
where r = effective interest rate
i= nominal interest rate
n = number of periods.
Using this other formula I am getting a different answer to the one you are getting to calculate for Example no.4
And I dont even understand the logic of the above formula.
Please help.
Had the question said that the nominal interest was 24% per year, then you would have divided 24% by 12 to get the monthly rate of 2%.
(I do assume that you downloaded the free lecture notes before watching the lecture?)
On the lecture note Chapter 22 is Measure of Average and Dispension, however the lecture video for Chapter 22 is about Interest.
Hope opentuition can make the amendment. Thanks
Lectures on these two chapters will be uploaded later this week.
I hope one day that my classmates can watch lectures on Opentuition without using VPN!!!!!!!!!!!!!!