Hello Sir, I鈥檓 a bit confused with the taxation allowance timing -in the example here the tax allowance is recognized at t1, while in the examples presented in DCF lectures -taxation, the first capital allowance was at t2. Please advise, why in this lecture we assume the first tax allowance to be in t1 not as in DCF-taxation lecture – in t2? Thank you in advance.
Hi John! I have doubt regarding after tax interest cost. It’s clearly mentioned in the question that “Buying” a machine shall involve borrowing money at an after tax rate of 7% (or a before tax rate of 10%). But nothing is mentioned as such for source of capital while leasing. So basically it should have been raised internally and for that we get tax benefits only for the expenses we made (i.e the amount of lease p.a. $35,000). The point I want to make is that discounting factor in case of leasing part should be at the rate of internal cost of capital that certainly is not necessarily 7%. And if we assume that the cost of capital for debt and own sources is same, then shouldn’t the lease part of question be discounted at 10% as it involves no savings on interest costs. Please correct me if an wrong. Regards.
Buying does not actually involve a cash flow at time 0 (you borrow the money and immediately pay it out on the machine). The actual cash flows are the repayments of the borrowing. However you will know from other lectures (and from Paper F2) that the PV of the repayments will always equal the amount borrowed.
Consider this – suppose you borrowed 10,000 at 10% and bought the machine, and repaid the 10,000 (together with interest) in equal instalments over 5 years. The repayments would be 10,000/3.791 – 2,638 per year. (3.791 is the 5 year annuity factor at 10%). Suppose instead you leased the machine and had to pay 2,500 per year for 5 years. Which would you prefer? Obviously you would prefer to lease.
However, it is not so clear cut in a full exam question (as in the example in the lecture) because of the tax and because of the timing of the flows. So instead, in order to find out which is cheaper, we compare the PV of the two alternatives, but because we are simply trying to determine which is cheaper – leasing or buying – we discount at the cost of buying.
There is a tax saving (because they pay less tax than they otherwise would have), and all savings are effectively positive inflows (as opposed to expenses which are outflows).
We are deciding whether to lease or buy – the income will be the same whichever we do. It is only the costs (and the resultant tax savings) that are relevant to this decision.
Firstly thank you so much for your lecture. Please, I need a clarification regarding the tax saving of the lease payment.
I understood from F7 that only the depreciation of the right to use asset and the finance cost are expenses not the lease payment … therefore I was expected the tax saving to be calculated based on the depreciation and the finance costs only not on the lease payment..
Could you please kindly explain why the tax saving is calculated based on the lease payment.
We assume for F9 that it is an operating lease and not a finance lease. Therefore it is the lease payment that is tax allowable.
F7 has nothing to do with it. How we present the figures in accounting statements is not relevant for F9 – for F9 NPV calculations we are interested purely in the cash flows, not how things might appear in the financial statements.
Hi John, In the previous lecture you mentioned that in a case where the capital allowance exceeds 25% during disposal the excess should be treated as an outflow in order to stay within the capital allowance allocation. I see in this question the total capital allowance was 27000 while it shouldn鈥檛 have exceeded the 25000. Am I looking at it the wrong way or is it what is it. Please shed more light on this. Thanks.
The figures are in brackets because they are costs!!
A cost of 69,960 is lower than a cost of 93,607 and therefore is is better to buy than to lease.
Whether you bother putting brackets round them or not is completely irrelevant – this is not a maths exam. The examiner is testing that you understand what is happening 馃檪
We only get capital allowances if we buy an asset. If we lease it then it is the lease payments that give tax savings instead. I do explain this in the lecture!
Hi sir, Quick one. I remember in previous lectures that we get as many capital allowances as the yrs of project’s life. Why in this example we get 5 instead of 4?
We bought it at the end of an accounting period and then used it for 4 years. So we get CA’s for the year in which we bought it and then also for the four years we used it. (It is only in lease and buy questions that the examiner has done this. In other NPV questions we assume it is bought at the start of a year and so then it would only be for the 4 years that we used it.)
Good day Sir, i still can not understand why we use time 0 for the end of year the machine was bought. shouldnt we have used time 1 since the question says that the machinwas bought at the end of the current financial year
Time 0 is the date of the first flow. Whether it happens to be at the start or end of the year is only relevant when it comes to the tax flows that result.
Time 0 is a point in time, time 1 is a point in time 1 year later, and so on.
The machine is bought at time 0. The capital allowances are calculated at the end of the accounting period, which in this example is also time 0. The questions says that tax is payable one year after the end of the financial year, and so the tax saving will occur one year later, which is time 1.
Have you watched the earlier lectures on relevant cash flows for DCF where I explain the tax rules?
May I ask you one more question. In the text book example, (a) The company could purchase the machine for cash, using bank loan facilities on which the current rate of interest is 13% before tax. (b) The company could lease the machine under an agreement which would entail payment of $4,800 at the end of each year for the next five years. Tax payment is not mention in the example and assumed that one year in arrears. For Lease aspect, 1) Rental is time 0 or time 1 as said that at the end of each year? 2) Tax saving 30% also time 1 or time 2? Thanks.
In future you must ask questions like this in the Ask the Tutor Forum and not as a comment on a lecture.
On the wording as you have typed it, the first lease payment will be at time 1 and if the tax is a year in arrears then the first tax saving will be at time 2.
Sorry to ask here because that is related question. If so, example 3 and my question, what is difference? 1) In the question, Rental is at the end of each year question, the first lease payment will be at time 1. 2) In the question,bought on the last day of current financial years, it is at time 0.
We assume that the operating flows (apart from the lease payment) will be the same whether we buy the machine or lease it, so they do not need to be considered.
All we consider are the lease payments and their tax effect; and for buying we consider the cost and scrap and the tax savings on the capital allowances (and they are calculated in exactly the same way as always).
Thank you for the good lectures Mr. Moffat. Can you clarify please on the buy option: 1. Why is the initial cost at T0 when the question states that the asset will be purchased at the end of the current year, isn’t the current year, year one such that initial cost is at T1 and 2. why does the balancing allowance occur at T5 and not T4. I thought the balancing allowance is calculated at the end of the life of the asset which is the same time as when the asset is disposed of.
We normally let the date of the initial cost be the starting point i.e. time 0. The only relevance of it being at the end of the current year is for the timing of the capital allowance flows.
The allowance is indeed calculated at time 4, but the tax effect is one year later because the question says that tax is payable one year in arrears.
In a question it is stated that the lease rental Is payable in advance . it means we pay lease rental in year0. but when we are calculating relief or saving on lease rental , the relief amount is in year 2 . why is it so? can u please explain? thanks
One more thing Sir , I past paper question named Leaminger .Co the question states that for buy or lease of asset use cost of capital of 10% and there is no cost of borrowing is given n we are told to use cost of borrowing for lease or buy questions. What should I do here ?
There is no such thing as year 0. Time 0 is the start of the first year, the tax is calculated at the end of the first year which is time 1. With a one year delay in tax the tax effect is one year later at time 2. This is all explained in the lecture and in the earlier lectures on investment appraisal with tax.
Dear John, Thanks for the great lectures and videos it is truly a great help and your explanation is phenomenal. I still have an ambiguity. Example: suppose an asset costing 100,000 will be used for 6 years of project life that can be purchased by company money or borrowed money and it has no scrap value. If purchased from borrowed amount, principal must be repaid after 5 years. Question: If asset is purchased by company money we have a cash outflow at t-0 of 100,000 and opportunity cost is taken care by DF (discount factor,Cost of Borrowing) but if it is purchased from borrowed money, DF will take care of interest payments but what about repayment of capital. we have a cash outflow of 100,000 at t-5 and no outflow at T-0 since it will be double counting. If my approach is wrong and probably it is, how do we take account of the cash flow occurring at period 5 when we return the principal amount.
If out are borrowing money then the only reason you end up paying out more than the money borrowed is because you are paying interest on it. Discounting the project at the cost of capital determines whether or not the inflows from the project cover the amount borrowed plus the interest on it.
For a fuller explanation do watch the Paper F2 lectures on interest and on investment appraisal, because this aspect is revision of F2.
Please why didn’t we apply the depreciation capital allowance to the lease, I thought that since we’re leasing the asset, we would have applied the 25% reducing balance then applied the tax rate or is this because the lease is a yearly one and not a long term lease?
aktorkots says
Hello Sir,
I鈥檓 a bit confused with the taxation allowance timing -in the example here the tax allowance is recognized at t1, while in the examples presented in DCF lectures -taxation, the first capital allowance was at t2. Please advise, why in this lecture we assume the first tax allowance to be in t1 not as in DCF-taxation lecture – in t2? Thank you in advance.
khan3057 says
Hi John! I have doubt regarding after tax interest cost. It’s clearly mentioned in the question that “Buying” a machine shall involve borrowing money at an after tax rate of 7% (or a before tax rate of 10%).
But nothing is mentioned as such for source of capital while leasing. So basically it should have been raised internally and for that we get tax benefits only for the expenses we made (i.e the amount of lease p.a. $35,000).
The point I want to make is that discounting factor in case of leasing part should be at the rate of internal cost of capital that certainly is not necessarily 7%.
And if we assume that the cost of capital for debt and own sources is same, then shouldn’t the lease part of question be discounted at 10% as it involves no savings on interest costs.
Please correct me if an wrong.
Regards.
John Moffat says
Sorry, but you are wrong.
Buying does not actually involve a cash flow at time 0 (you borrow the money and immediately pay it out on the machine). The actual cash flows are the repayments of the borrowing. However you will know from other lectures (and from Paper F2) that the PV of the repayments will always equal the amount borrowed.
Consider this – suppose you borrowed 10,000 at 10% and bought the machine, and repaid the 10,000 (together with interest) in equal instalments over 5 years. The repayments would be 10,000/3.791 – 2,638 per year. (3.791 is the 5 year annuity factor at 10%).
Suppose instead you leased the machine and had to pay 2,500 per year for 5 years.
Which would you prefer? Obviously you would prefer to lease.
However, it is not so clear cut in a full exam question (as in the example in the lecture) because of the tax and because of the timing of the flows. So instead, in order to find out which is cheaper, we compare the PV of the two alternatives, but because we are simply trying to determine which is cheaper – leasing or buying – we discount at the cost of buying.
dineise18 says
Hi Teacher,
I have an issue about the Lease or Buy exercise. Why tax saving on lease payments are not negative?
Thanks.
John Moffat says
There is a tax saving (because they pay less tax than they otherwise would have), and all savings are effectively positive inflows (as opposed to expenses which are outflows).
Tai Wo says
Please on buy. Why didn’t we calculate tax on buy. I refer to tax payable and not savings. Please urgent.
John Moffat says
We are deciding whether to lease or buy – the income will be the same whichever we do. It is only the costs (and the resultant tax savings) that are relevant to this decision.
aissata says
Dear Sir,
Firstly thank you so much for your lecture.
Please, I need a clarification regarding the tax saving of the lease payment.
I understood from F7 that only the depreciation of the right to use asset and the finance cost are expenses not the lease payment … therefore I was expected the tax saving to be calculated based on the depreciation and the finance costs only not on the lease payment..
Could you please kindly explain why the tax saving is calculated based on the lease payment.
Kind regards,
John Moffat says
We assume for F9 that it is an operating lease and not a finance lease. Therefore it is the lease payment that is tax allowable.
F7 has nothing to do with it. How we present the figures in accounting statements is not relevant for F9 – for F9 NPV calculations we are interested purely in the cash flows, not how things might appear in the financial statements.
aissata says
Thank you very much indeed
John Moffat says
You are welcome 馃檪
musa7 says
Hi John,
In the previous lecture you mentioned that in a case where the capital allowance exceeds 25% during disposal the excess should be treated as an outflow in order to stay within the capital allowance allocation. I see in this question the total capital allowance was 27000 while it shouldn鈥檛 have exceeded the 25000. Am I looking at it the wrong way or is it what is it. Please shed more light on this.
Thanks.
John Moffat says
I did not say that at all!!!
The balancing charge in the final year is the difference between the sale proceeds of 10,000 and the tax written down value of 31,641.
The total of all of the allowances is 90,000 (the cost less the disposal proceeds), and the total tax saved as a result is 30% x 90,000.
I do suggest that you watch my lectures on investment appraisal with tax, because these are standard tax rules.
priyashju30 says
Hi sir
cheaper of the both is lease as it is in brackets (93,607) compared to buy (69,960) ?
John Moffat says
Nonsense 馃檪
The figures are in brackets because they are costs!!
A cost of 69,960 is lower than a cost of 93,607 and therefore is is better to buy than to lease.
Whether you bother putting brackets round them or not is completely irrelevant – this is not a maths exam. The examiner is testing that you understand what is happening 馃檪
mayzin1707 says
Sir,
In the question say that scrap value will have after 4 years. So why should not we put 10,000 scrap value in 5 years instead of 4 years?
Thanks.
May
John Moffat says
No. 4 years from now is time 4.
nomadd says
Sir,
Why is that, in lease we having corporation tax savings as 30% ?
Because in most cases it’s always in capital allowances we having tax savings!
Thankyou.
John Moffat says
We only get capital allowances if we buy an asset. If we lease it then it is the lease payments that give tax savings instead. I do explain this in the lecture!
nomadd says
Thanks Alot sir for making it Very clear.
And I really appreciate your sincere efforts for making my doubts clear.
John Moffat says
You are welcome 馃檪
trixter723 says
Good Day Sir,
My question is : for the tax rulings does it still apply if tax is payable immediately (without the one year delay)
John Moffat says
It depends which ruling you mean.
The tax flows would be exactly the same except that they would be one year earlier.
balomenos86 says
Hi sir,
Quick one. I remember in previous lectures that we get as many capital allowances as the yrs of project’s life. Why in this example we get 5 instead of 4?
John Moffat says
We bought it at the end of an accounting period and then used it for 4 years. So we get CA’s for the year in which we bought it and then also for the four years we used it.
(It is only in lease and buy questions that the examiner has done this. In other NPV questions we assume it is bought at the start of a year and so then it would only be for the 4 years that we used it.)
balomenos86 says
thank you very much 馃檪
John Moffat says
You are welcome 馃檪
seun says
Good day Sir,
i still can not understand why we use time 0 for the end of year the machine was bought.
shouldnt we have used time 1 since the question says that the machinwas bought at the end of the current financial year
John Moffat says
Time 0 is the date of the first flow. Whether it happens to be at the start or end of the year is only relevant when it comes to the tax flows that result.
seun says
thank you.
it is clear and fully understood now.
John Moffat says
You are welcome 馃檪
mayzin1707 says
Dear Sir,
May I ask example 3 about will be bought on the last day of current financial years.
Why not the amount is in Year 1 instead of Year 0?
Thanks.
May.
John Moffat says
Time 0 is a point in time, time 1 is a point in time 1 year later, and so on.
The machine is bought at time 0.
The capital allowances are calculated at the end of the accounting period, which in this example is also time 0.
The questions says that tax is payable one year after the end of the financial year, and so the tax saving will occur one year later, which is time 1.
Have you watched the earlier lectures on relevant cash flows for DCF where I explain the tax rules?
mayzin1707 says
Dear Sir,
May I ask you one more question. In the text book example,
(a) The company could purchase the machine for cash, using bank loan facilities on which the current rate of interest is 13% before tax.
(b) The company could lease the machine under an agreement which would entail payment of $4,800 at the end of each year for the next five years.
Tax payment is not mention in the example and assumed that one year in arrears.
For Lease aspect,
1) Rental is time 0 or time 1 as said that at the end of each year?
2) Tax saving 30% also time 1 or time 2?
Thanks.
May.
mayzin1707 says
Dear Sir,
If I put in time 1 instead of time 0, can I loose mark for that?
May.
John Moffat says
In future you must ask questions like this in the Ask the Tutor Forum and not as a comment on a lecture.
On the wording as you have typed it, the first lease payment will be at time 1 and if the tax is a year in arrears then the first tax saving will be at time 2.
mayzin1707 says
Dear Sir,
Sorry to ask here because that is related question.
If so, example 3 and my question, what is difference?
1) In the question, Rental is at the end of each year question,
the first lease payment will be at time 1.
2) In the question,bought on the last day of current financial years, it is at
time 0.
May.
John Moffat says
In example 3, the question says that lease payments are payable at the start of each year – so the first payment is immediately i.e. time 0.
When buying, the cost will also be payable immediately i.e. time 0. (We are not bothered about a difference of 1 day when we come to discounting)
mayzin1707 says
Thank you teacher Mr.Moffat!
shyamal says
dear sir can you assisit me in calculating pv in nearest thousand
for a question from kaplan exam kit (sect b) investment appraisal
bell co.
part b
John Moffat says
You must ask this sort of question in the Ask the Tutor Forum – not as a comment on a lecture.
Candy says
Dear John,
I know this question has been asked before, but I’m afraid I have to ask again.
Why did you not include a line for tax on operating cashflows like you did in Chapter 8, question 3?
I understood that we had to pay tax on investment but also if given capital allowance then we have a line for the tax saving also.
However in the above example it is a little confusing as to why you did not including whether to buy the machine.
I thought we would have to pay tax at 30% on the cost of acquiring the machine as we did in Chapter 8 questions 3 & 4?
In the questions 3 & 4 we buy a machine and calculate tax payable
In question from lecture above we buy a machine but don’t calculate tax payable??
I understand it is different from tax and inflation questions but cannot identify why it is treated differently.
Sorry I just really need clarification
John Moffat says
We assume that the operating flows (apart from the lease payment) will be the same whether we buy the machine or lease it, so they do not need to be considered.
All we consider are the lease payments and their tax effect; and for buying we consider the cost and scrap and the tax savings on the capital allowances (and they are calculated in exactly the same way as always).
ematete2005 says
Thank you Sir. i had to understand that the current year is the year just before year one, i.e. 2010 as you put it in your lecture.
John Moffat says
You are welcome 馃檪
ematete2005 says
Thank you for the good lectures Mr. Moffat.
Can you clarify please on the buy option:
1. Why is the initial cost at T0 when the question states that the asset will be purchased at the end of the current year, isn’t the current year, year one such that initial cost is at T1 and
2. why does the balancing allowance occur at T5 and not T4. I thought the balancing allowance is calculated at the end of the life of the asset which is the same time as when the asset is disposed of.
thank you once again for the great job.
John Moffat says
We normally let the date of the initial cost be the starting point i.e. time 0. The only relevance of it being at the end of the current year is for the timing of the capital allowance flows.
The allowance is indeed calculated at time 4, but the tax effect is one year later because the question says that tax is payable one year in arrears.
Danish says
In a question it is stated that the lease rental Is payable in advance . it means we pay lease rental in year0. but when we are calculating relief or saving on lease rental , the relief amount is in year 2 . why is it so? can u please explain? thanks
Danish says
One more thing Sir , I past paper question named Leaminger .Co the question states that for buy or lease of asset use cost of capital of 10% and there is no cost of borrowing is given n we are told to use cost of borrowing for lease or buy questions. What should I do here ?
John Moffat says
The requirement for Leaminger specifically says to use the after-tax cost of capital.
John Moffat says
There is no such thing as year 0. Time 0 is the start of the first year, the tax is calculated at the end of the first year which is time 1. With a one year delay in tax the tax effect is one year later at time 2.
This is all explained in the lecture and in the earlier lectures on investment appraisal with tax.
sarmad738 says
Dear John,
Thanks for the great lectures and videos it is truly a great help and your explanation is phenomenal. I still have an ambiguity.
Example: suppose an asset costing 100,000 will be used for 6 years of project life that can be purchased by company money or borrowed money and it has no scrap value. If purchased from borrowed amount, principal must be repaid after 5 years.
Question: If asset is purchased by company money we have a cash outflow at t-0 of 100,000 and opportunity cost is taken care by DF (discount factor,Cost of Borrowing) but if it is purchased from borrowed money, DF will take care of interest payments but what about repayment of capital. we have a cash outflow of 100,000 at t-5 and no outflow at T-0 since it will be double counting.
If my approach is wrong and probably it is, how do we take account of the cash flow occurring at period 5 when we return the principal amount.
John Moffat says
If out are borrowing money then the only reason you end up paying out more than the money borrowed is because you are paying interest on it.
Discounting the project at the cost of capital determines whether or not the inflows from the project cover the amount borrowed plus the interest on it.
For a fuller explanation do watch the Paper F2 lectures on interest and on investment appraisal, because this aspect is revision of F2.
Daniel says
Hi John,
Thanks for your lectures.
Please why didn’t we apply the depreciation capital allowance to the lease, I thought that since we’re leasing the asset, we would have applied the 25% reducing balance then applied the tax rate or is this because the lease is a yearly one and not a long term lease?
John Moffat says
If we lease an asset we do not get capital allowances.
Instead the lease payments are tax allowable.