Pls can you clarify when we should use annuity table or the present value table. I tried attempting some questions and don’t know which table is applicable to them. Thank you.
Than you Sir for all the brilliant lectures. While calculating the Present Value of the Perpetuity in example 7 from both the approaches, there’s a difference coming in them. Can you please tell me which approach is the best to follow? And again thank you for all the lectures.
Any difference will just be a rounding difference because of the tables only being to 3 decimal places. The rounding difference will be irrelevant in the exam.
cindy1228: The question says that the first flow is at time 4. Therefore the second flow is a time 5, the third flow is at time 6, and so on. If you carry on counting you will find that the 10th (and last) flow is at time 13.
Hi sir, l didnt understand the second way of calculating the discount factor of the perpetuity in example seven.Perpetuity is where you receive the same amount to infinity so you got the perpetuity from 1 to infinity but then l didnt understand why you multipied by the discount factor for 4 years from the present value table.Thank you
Multiplying by 1/r gives the present value at time 0 if the first flow is in 1 years time.
Here the first flow is in 5 years time, which is 4 years later than in 1 years time. Therefore it gives a PV 4 years later as well – at time 4 instead of time 0. So we have to multiply by the normal 4 year discount factor to get back to a value at time 0.
If you are still unsure then do watch the free Paper MA lectures, because this is revision of MA (was Paper F2).
CarysDufty says
in section A and B of the exam , do we not get marks if we make rounding errors?
Rooorade says
Hi John,
Pls can you clarify when we should use annuity table or the present value table. I tried attempting some questions and don’t know which table is applicable to them.
Thank you.
John Moffat says
We use the present value table for individual flows. We use the annuity tables to discount when there are equal flows each year.
sind says
how do we calculate the annuity for 2-6 years?
John Moffat says
Subtract the 1 year factor from the 6 year annuity factor – exactly the same logic as shown in the examples in the lecture.
daarmc says
Hi John
”
In example 7 “at time 17.52” did you mean 1 / 0.05 interest?
John Moffat says
Yes, but I am not going to re-record the lecture because I do ‘speak’ it correctly and solve the example correctly 🙂
sarah762 says
(2,000×1.03)÷(0.1?0.03) × 0.621
= 18 275
I used the same LOGIC as dividend growth model FORMULA. That’s what I think
sarah762 says
@syedhamza15
Sayed Mahdi says
the divorce example made me laugh so hard.. thanks
John Moffat says
🙂
jatingupta@2097 says
Than you Sir for all the brilliant lectures.
While calculating the Present Value of the Perpetuity in example 7 from both the approaches, there’s a difference coming in them. Can you please tell me which approach is the best to follow?
And again thank you for all the lectures.
John Moffat says
Any difference will just be a rounding difference because of the tables only being to 3 decimal places.
The rounding difference will be irrelevant in the exam.
syedhamza15 says
A perpituity of 2000 starting in 6 years time growing at 3% p.a Interest rates are 10%
Find Present Value.
any ones help will be appreciated
jatingupta@2097 says
Is the 2000 amount growing by 3% every year, starting from 6th year?
faith20ul19 says
Thanks for this one. I personally prefer the second approach used to determine the PV under perpetuity.
John Moffat says
You are welcome 🙂
John Moffat says
cindy1228: The question says that the first flow is at time 4. Therefore the second flow is a time 5, the third flow is at time 6, and so on.
If you carry on counting you will find that the 10th (and last) flow is at time 13.
cindy1228 says
Hi John,
May I ask why its 13 years? since it states 4 years at 20k p.a then 10 years thereafter? thank you
jagmeet says
Hi sir, l didnt understand the second way of calculating the discount factor of the perpetuity in example seven.Perpetuity is where you receive the same amount to infinity so you got the perpetuity from 1 to infinity but then l didnt understand why you multipied by the discount factor for 4 years from the present value table.Thank you
John Moffat says
Multiplying by 1/r gives the present value at time 0 if the first flow is in 1 years time.
Here the first flow is in 5 years time, which is 4 years later than in 1 years time. Therefore it gives a PV 4 years later as well – at time 4 instead of time 0. So we have to multiply by the normal 4 year discount factor to get back to a value at time 0.
If you are still unsure then do watch the free Paper MA lectures, because this is revision of MA (was Paper F2).