If you are asked to calculate the cost of capital, then you will be given the market values (as traded securities they will be quoted on the stock exchange and so in practice it is simply a question of looking in the newspapers to find the market value).

As to how the market values are determined in the first place, this is cover in chapters 15 and 16 of the lecture notes and the lectures that of with them.

Hello John Sir, thank u very much for those wonderful lectures as always.

I have a question regarding the chosen % for D.F to calculate the IRR. For Kd you took 10% and 15%, and for Company’s cost you took 5% and 10%.

I took 10% and 15% to ease calculations (because we already got annuity and discount values from previous calculation for Kd), but got 9.77% instead of 9.81%, it’s for sure answers will vary as it’s not linear. My question is does the examiner cater for this and allow a margin of error.

It is no problem – using two guesses only ever gives an approximate answer (but leave it to two decimal places just so the marker can see from your workings that you know what you are doing.

(However, if you calculated at 10% first, you should have realised that since the NPV is negative then the IRR had to be lower than 10%. It would have therefore been better to make your second guess at lower than 10%.)

If you were asked to calculate an IRR in section A, then you will be told which guesses to use.

First of all I would like to thank you for your brilliant lectures. They are clear and concise.
I have a question in relation to Example 8 part b – Cost to the company.

As per explanation of example 8 the symbols on cash flows are the following:

Time 0 M.V – Negative Cash flow
Time 1- 5 Interest – Positive Cash flow
Time 5. Repayment – Positive Cash flow

From a cash flow perspective, as this is the cost to the Company, should the cash flows have the opposite symbol? That is:

Time 0 M.V – Positive Cash Flow – Co. receives the money
Time 1 – 5 – Negative Cash Flow – Co. is paying interest
Time 5: Negative Cash Flow – Co. is repaying Debt finance.

It doesn’t make any difference at all – an NPV of +0 is the same as an NPV of -0 🙂

Do it whichever way round you want. However the reason we usually to it in the same way round as the lecture is because that is the way round that we are used to setting up the flows when we are calculating the IRR when we are investing in a project.

I am getting confused. In example 8 why would the NPV would be 0 if the present value of the receipts is the market value i.e. 85c. I just don’t understand.

And is this a general rule whether we are talking about shares or debt borrowing that the market value of the share or security is the present value of the expected receipts which are dividends in the case of shares and interest in the case of debt borrowing.

In Solution to Example 7, why are we diving the Cost of debt with the Current Market Price of 90. Dont we assume that the company always issued it at USD 100 at the time of raising the debt and the cost of capital will always be kd (1-t) for every year till it redeems it, Unless of course there is a redemption at a premium.

As I explain in the lecture, if it is quoted at 90 p.c. then it means the market value is $90 for every $100 nominal.
Therefore the interest each year (given a coupon rate of 8%) is $8 per year.
Therefore the return to investors (Kd) is 8/90 = 8.88%, and the cost to the company is Kd(1-T).

The price at which the debt was issued is completely irrelevant.

Here the debt will never be redeemed – the question specifically says that it is irredeemable.

If the debt is redeemable (which is more common in the exam) then the approach is different – we have to calculate the IRR and the cost of debt does not equal Kd(1-T), but this is dealt with in example 8.

I assume that you mean the 10% that I used as part of my calculation of the IRR to get the cost of debt.

When calculating the IRR you make two guesses. I chose 10% as one of the guesses but any two rates will do. Using different guesses does give slightly different answers (because the relationship is not linear) but still gets full marks in the exam.

I do suggest that you watch the earlier lectures on investment appraisal where the IRR calculation is explained in detail.

Hi Sir
is it possible to find cost of debt for a redeemable bond if interest payment is made semi- annually and in arrears.if so how can i determine coupon payment ?

It is (but in F9 we always assume that the interest is paid annually).

The coupon rate every six months is simply half of the annual rate (in real life 🙂 ).
So if they are 8% bonds, then the interest (on 100 nominal) would be $4 every six months.

You then discount at the investors required return, and it is the discounting which is more messy. If the required return were (for example) 10% p.a., then you would have to calculate the discount factors using the formula. So for 6 months it would be (1/1.1)^(1/2); for 18 months it would be (1/1.1)^(3/2). and so on.

This is the reason why in F9 the interest is always assumed to be paid annually (and in P4 as well 🙂 )

hello sir I am confused regarding the redeemables, you say that the required rate of return to the investors is 11.6% because @ this percent the NPV is 0 etc…..However what I don’t understand is why would investors want a higher rate of return if this makes their cash flows worth less? for example at 10% they would’ve made $6 but at 11.6% they don’t make anything? Perhaps I don’t understand the concept can you please clarify…

The market value is fixed by the investors and depends on the return that they require. If they want a higher return then they will fix the market value lower, if the want a lower return then they will fix the marker value higher.

Since we know the market value they have placed on their investment we are simply working backwards to find out what return it is that they are wanting.

I assume that you have already watched the lectures on the valuation of securities, but if not then you should and then it will make sense. (The lectures really should be watched in order to make full use of them)

Dear Sir, could you clarify this for me?
When calculating the cost of debt (redeemable) we should always use the current ex int market value of the bond if given else we assume nominal value of $100 right?

I have been working some past papers and i noticed this while checking the answers.
For 12/10 question NNN Co the current ex int market price of $103.50 was used.
For 6/11 AQR Co the nominal value was used, and for BKB Co (12/12) the calculated market value of bond $105 was used…

Because the market value is the present value of future receipts discounted at the required return. If you discount at a higher rate, then the present value (and therefore market value) will be lower.

Please, I’m confused about the inflow and outflow in the cost of debt calculation. You put the MV as an outflow while the interest paid and the repayment value as inflow. While this please because if the current MV is inflow and the interest paid and the redemption paid are outflows, the result for IRR will be different. I hope you get what I mean. e.g df@5% will give a negative NPV of 19.42 and df@10% will give a positive NPV of 0.77. Then, IRR = 5.19% totally different from 9.81%. Please, explain which one is correct because I think 5.19% is logical looking from company’s view. Thanks.

It does not matter which way round the flows are. If the flows are reversed then the sign of the NPV will be the opposite. However, we are after a NPV of zero – minus zero and plus zero are the same!!

I have no idea how you arrived at 5.19% – just looking at the figures should make you realise that 5.19% is impossible. Since the NPV at 10% is almost zero, the IRR must be very close to 10%!!

some thing I just want to confirm, can we write the abbreviation for terms which we use it often in the exam , i.e. in Example 9 ( $2.50 cum div & 92 ex int )

by the way, does “cum div” mean included div, and “ex int” mean excluded interest ?

sorry for asking such kind of simple question, but it’s really confused students who’s native language is not English like me… if we can use the abbreviation during the exam, could u show us some clue please ?

Thanks for your brilliant lecture, I learned a lot here.

Yes – cum div means that they are about to pay the dividend (and so the price includes the dividend). Ex div means that they have just paid the dividend (and so the price excludes the dividend).

The same applies to cum and ex int.

In the exam you always assume ex div / ex int unless you are told differently.

I love how you explain the logic behind every little calculation that we have to do! It saves me from having to cram them up! Kudos Sir! You are amazing! 😀

could someone please help me. I don’t understand the concept of “90 over 100 nominal”
what does this mean? furthermore i don’t understand the logic between the investors borrowing from the Business, or is it the Business selling debt? if its the Business selling debt, are they selling the debt which is worth 100 i.e nominal for 90?

The market value is what investors are prepared to pay to buy debt on the stock exchange.

To explain the relevance, suppose a company has in issue some 9% bonds with a nominal value of $100, which are trading at a market value of $90.
This means that investors are currently requiring a return of 10% (9/90). If they wanted a different return they they would pay a different price.

So…..this in turn means that if the company wanted to raise more debt finance, then they would have to offer a return of 10% (otherwise nobody would be prepared to invest)

I’m practising June 2009 past paper, titled ‘KFP Co’ using Kaplan exam kit.

I’m calculating cost of debt and I’m bit confused with which discount factor to use. The question says its 7% redeemable bond in 7 years and under other relevant information it gives an average return on the market 10.5%.

In the answer they have used 10% and 5%, but my understanding is that if it’s 7% interest then I would use 7% discount factor (which gave me positive NPV) and then I used 10% (giving me negative NPV). I get an IRR= 8.65% but the answer in kit gives an IRR = 6%, please can anyone look at this question and tell me where I’m going wrong.

@johnmoffat
Please allow me the following question: while i understand that we compute the investors return using the market rate, from the company’s perspective, in order to compute the cost, i would use the nominal, since this is the amount actually received. I don’t see where the market price of the debenture would influence the company’s cost. Therefore the net yield would be (1-tax (%)) x interest / nominal. Could you please advise?

noor mohamed hassan says

excellent lecture, but the only problem i have is how to get the market values of equity and debt. Thank you.

John Moffat says

If you are asked to calculate the cost of capital, then you will be given the market values (as traded securities they will be quoted on the stock exchange and so in practice it is simply a question of looking in the newspapers to find the market value).

As to how the market values are determined in the first place, this is cover in chapters 15 and 16 of the lecture notes and the lectures that of with them.

nzeadall says

Hello John Sir, thank u very much for those wonderful lectures as always.

I have a question regarding the chosen % for D.F to calculate the IRR. For Kd you took 10% and 15%, and for Company’s cost you took 5% and 10%.

I took 10% and 15% to ease calculations (because we already got annuity and discount values from previous calculation for Kd), but got 9.77% instead of 9.81%, it’s for sure answers will vary as it’s not linear. My question is does the examiner cater for this and allow a margin of error.

Thank u

John Moffat says

It is no problem – using two guesses only ever gives an approximate answer (but leave it to two decimal places just so the marker can see from your workings that you know what you are doing.

(However, if you calculated at 10% first, you should have realised that since the NPV is negative then the IRR had to be lower than 10%. It would have therefore been better to make your second guess at lower than 10%.)

If you were asked to calculate an IRR in section A, then you will be told which guesses to use.

nzeadall says

ok thank you 🙂

John Moffat says

You are welcome 🙂

Isabel says

Dear John,

First of all I would like to thank you for your brilliant lectures. They are clear and concise.

I have a question in relation to Example 8 part b – Cost to the company.

As per explanation of example 8 the symbols on cash flows are the following:

Time 0 M.V – Negative Cash flow

Time 1- 5 Interest – Positive Cash flow

Time 5. Repayment – Positive Cash flow

From a cash flow perspective, as this is the cost to the Company, should the cash flows have the opposite symbol? That is:

Time 0 M.V – Positive Cash Flow – Co. receives the money

Time 1 – 5 – Negative Cash Flow – Co. is paying interest

Time 5: Negative Cash Flow – Co. is repaying Debt finance.

Thank you in advance for your kind response.

Regards,

Isabel

John Moffat says

It doesn’t make any difference at all – an NPV of +0 is the same as an NPV of -0 🙂

Do it whichever way round you want. However the reason we usually to it in the same way round as the lecture is because that is the way round that we are used to setting up the flows when we are calculating the IRR when we are investing in a project.

Isabel says

Yes, your answer makes a lot of sense.

That´s great. Thank you John and Happy 2016!

John Moffat says

You are welcome, and happy new year to you also 🙂

shaafia says

Why isn’t the cost of debt for irredeemable debentures simply: the expected return to investors* (1-rate of tax)???

John Moffat says

It is!

If you listen carefully to the lecture then you will find that I actually say that!!!!!

shaafia says

i am sorry i meant redeemable!!

John Moffat says

Because only the interest is tax allowable – not the repayment.

Arun says

Hi John,

I am getting confused. In example 8 why would the NPV would be 0 if the present value of the receipts is the market value i.e. 85c. I just don’t understand.

And is this a general rule whether we are talking about shares or debt borrowing that the market value of the share or security is the present value of the expected receipts which are dividends in the case of shares and interest in the case of debt borrowing.

Thanks.

Venky says

Hi John,

In Solution to Example 7, why are we diving the Cost of debt with the Current Market Price of 90. Dont we assume that the company always issued it at USD 100 at the time of raising the debt and the cost of capital will always be kd (1-t) for every year till it redeems it, Unless of course there is a redemption at a premium.

Can you kindly clarify.

Thanks

John Moffat says

As I explain in the lecture, if it is quoted at 90 p.c. then it means the market value is $90 for every $100 nominal.

Therefore the interest each year (given a coupon rate of 8%) is $8 per year.

Therefore the return to investors (Kd) is 8/90 = 8.88%, and the cost to the company is Kd(1-T).

The price at which the debt was issued is completely irrelevant.

Here the debt will never be redeemed – the question specifically says that it is irredeemable.

If the debt is redeemable (which is more common in the exam) then the approach is different – we have to calculate the IRR and the cost of debt does not equal Kd(1-T), but this is dealt with in example 8.

I do suggest that you watch the lecture again.

grisha says

Hello Mr.

Thank you for lectures

How did you get 10% ( you have discounted annuity and repayment at 10%) ?

John Moffat says

I assume that you mean the 10% that I used as part of my calculation of the IRR to get the cost of debt.

When calculating the IRR you make two guesses. I chose 10% as one of the guesses but any two rates will do. Using different guesses does give slightly different answers (because the relationship is not linear) but still gets full marks in the exam.

I do suggest that you watch the earlier lectures on investment appraisal where the IRR calculation is explained in detail.

grisha says

Thank You Mr. John

You are great teacher

John Moffat says

Thank you 🙂

Greenson says

Thank you sir this information is very useful..

Greenson says

Hi Sir

is it possible to find cost of debt for a redeemable bond if interest payment is made semi- annually and in arrears.if so how can i determine coupon payment ?

John Moffat says

It is (but in F9 we always assume that the interest is paid annually).

The coupon rate every six months is simply half of the annual rate (in real life 🙂 ).

So if they are 8% bonds, then the interest (on 100 nominal) would be $4 every six months.

You then discount at the investors required return, and it is the discounting which is more messy. If the required return were (for example) 10% p.a., then you would have to calculate the discount factors using the formula. So for 6 months it would be (1/1.1)^(1/2); for 18 months it would be (1/1.1)^(3/2). and so on.

This is the reason why in F9 the interest is always assumed to be paid annually (and in P4 as well 🙂 )

fahim231 says

hello sir I am confused regarding the redeemables, you say that the required rate of return to the investors is 11.6% because @ this percent the NPV is 0 etc…..However what I don’t understand is why would investors want a higher rate of return if this makes their cash flows worth less? for example at 10% they would’ve made $6 but at 11.6% they don’t make anything? Perhaps I don’t understand the concept can you please clarify…

Thanks in advance

John Moffat says

The market value is fixed by the investors and depends on the return that they require. If they want a higher return then they will fix the market value lower, if the want a lower return then they will fix the marker value higher.

Since we know the market value they have placed on their investment we are simply working backwards to find out what return it is that they are wanting.

I assume that you have already watched the lectures on the valuation of securities, but if not then you should and then it will make sense. (The lectures really should be watched in order to make full use of them)

bona007 says

Dear Sir, could you clarify this for me?

When calculating the cost of debt (redeemable) we should always use the current ex int market value of the bond if given else we assume nominal value of $100 right?

I have been working some past papers and i noticed this while checking the answers.

For 12/10 question NNN Co the current ex int market price of $103.50 was used.

For 6/11 AQR Co the nominal value was used, and for BKB Co (12/12) the calculated market value of bond $105 was used…

John Moffat says

We always use the market value and it is always given in one way or another.

In AQR the nominal value was used simply because if we issue at par then its immediate market value is the issue price – i.e. nominal.

In BKB we were needed to calculate the market value first, but then the market value was used to calculate the cost of debt.

It is always market value – there is no confusion.

abiola says

Hi mr John.

Can you please explain why the higher the required return the lower the market price?

Thanks.

John Moffat says

Because the market value is the present value of future receipts discounted at the required return. If you discount at a higher rate, then the present value (and therefore market value) will be lower.

olakade says

Please, I’m confused about the inflow and outflow in the cost of debt calculation. You put the MV as an outflow while the interest paid and the repayment value as inflow. While this please because if the current MV is inflow and the interest paid and the redemption paid are outflows, the result for IRR will be different. I hope you get what I mean. e.g df@5% will give a negative NPV of 19.42 and df@10% will give a positive NPV of 0.77. Then, IRR = 5.19% totally different from 9.81%. Please, explain which one is correct because I think 5.19% is logical looking from company’s view. Thanks.

John Moffat says

It does not matter which way round the flows are. If the flows are reversed then the sign of the NPV will be the opposite. However, we are after a NPV of zero – minus zero and plus zero are the same!!

I have no idea how you arrived at 5.19% – just looking at the figures should make you realise that 5.19% is impossible. Since the NPV at 10% is almost zero, the IRR must be very close to 10%!!

olakade says

Thanks. It makes sense to me now. Besides, I should have thought of that you last sentence. God bless.

wuximyth says

Dear Professor John

some thing I just want to confirm, can we write the abbreviation for terms which we use it often in the exam , i.e. in Example 9 ( $2.50 cum div & 92 ex int )

by the way, does “cum div” mean included div, and “ex int” mean excluded interest ?

sorry for asking such kind of simple question, but it’s really confused students who’s native language is not English like me… if we can use the abbreviation during the exam, could u show us some clue please ?

Thanks for your brilliant lecture, I learned a lot here.

John Moffat says

Yes – cum div means that they are about to pay the dividend (and so the price includes the dividend). Ex div means that they have just paid the dividend (and so the price excludes the dividend).

The same applies to cum and ex int.

In the exam you always assume ex div / ex int unless you are told differently.

wuximyth says

understood~ thanks

chandhini says

I love how you explain the logic behind every little calculation that we have to do! It saves me from having to cram them up! Kudos Sir! You are amazing! 😀

John Moffat says

Thank you 🙂

fahim231 says

could someone please help me. I don’t understand the concept of “90 over 100 nominal”

what does this mean? furthermore i don’t understand the logic between the investors borrowing from the Business, or is it the Business selling debt? if its the Business selling debt, are they selling the debt which is worth 100 i.e nominal for 90?

John Moffat says

The market value is what investors are prepared to pay to buy debt on the stock exchange.

To explain the relevance, suppose a company has in issue some 9% bonds with a nominal value of $100, which are trading at a market value of $90.

This means that investors are currently requiring a return of 10% (9/90). If they wanted a different return they they would pay a different price.

So…..this in turn means that if the company wanted to raise more debt finance, then they would have to offer a return of 10% (otherwise nobody would be prepared to invest)

Amon says

Hi John,

I’m practising June 2009 past paper, titled ‘KFP Co’ using Kaplan exam kit.

I’m calculating cost of debt and I’m bit confused with which discount factor to use. The question says its 7% redeemable bond in 7 years and under other relevant information it gives an average return on the market 10.5%.

In the answer they have used 10% and 5%, but my understanding is that if it’s 7% interest then I would use 7% discount factor (which gave me positive NPV) and then I used 10% (giving me negative NPV). I get an IRR= 8.65% but the answer in kit gives an IRR = 6%, please can anyone look at this question and tell me where I’m going wrong.

Thanks

Amon says

Sorted it out, thanks!

sdmaalex says

Hi! 🙂

Can you please explain why you took $8/$90 in Example 7? I was bit confused because it says 8% Irredeemable debentures quoted at 90 c.

John Moffat says

8% means that the interest is 8 per year (because the nominal value is 100)

However the market value is £90 for 100 nominal, and so the return to the investor is 8/90

annchen says

@johnmoffat

Please allow me the following question: while i understand that we compute the investors return using the market rate, from the company’s perspective, in order to compute the cost, i would use the nominal, since this is the amount actually received. I don’t see where the market price of the debenture would influence the company’s cost. Therefore the net yield would be (1-tax (%)) x interest / nominal. Could you please advise?

annchen says

@annchen,

Sorry i think i got it; it’s more what we would need to pay in the future, not what is already paid

sheffernb says

This gentleman is excellent

o_kaghembe says

i have been struggling to understand this topic and after this lecture, i cant believe how easy it seems. This lecturer is great. Thanks alot.!!!!!

okonkwc says

This lecturer is the best

adilali1990 says

he iz great i love u sir

abiw2012 says

your stuff is simply invaluable,splendid and fabulous.users like me will forever be grateful.God bless you

John Moffat says

@abiw2012, Thank you.

faizan1185 says

yes …thankxxx for making f9 easyyy……

vicosu says

IM IN LOVE WITH THIS MAN, HE HAS MADE F9 MANAGEABLE FOR ME, THANK GOD FOR MEN LIKE HIM, I WISH HE WAS MY TUTOR.

admin says

@vicosu 🙂 well, he is your tutor 😉

Saad Bin Aziz says

@admin,

Yup he definitely is the best tutor i ever had:-)

adrianadalea says

logic ; verry organised , I admire his style a lot

Saad Bin Aziz says

Beautifully simple= John’s lectures 🙂