Hi John, In Q2 Is this market value not cum int? I thought we only assume ex int unless stated otherwise? I am aware of the definition being the expected future gains discounted at the required return. However this did throw me off. When do we just calculate for ex int?

Is this simply due to the share redemption being the choice and thus we need to account for the interest as well? Also is the $104.10 of the cash redemption and interest not already discounted? Thus being higher than the PV of the shares?

Dear Sir, For the Q 1, I take the root 3 36/31.1= 0.7 not 0.5 as you get. What I am doing wrong? Do I need a new calculator, if yes which one is the best please?

It is not the square root. It is the third root because there are three years of growth. So the average growth is (third root (36/31.1)) – 1, as I explain in my free lectures.

It is a scientific calculator that you need. It doesn’t matter which one provided it only displays numbers and does not display letters.

Dear John, Thanks a lot for putting together a challenging set of practice questions! I have a question though – Both Q1 and Q5 involve calculations of geometric means. As per my understanding, both questions involve 4 periods. Yet, in Q1 the model solution recommends calculating the cube root, while for question 5 a 4th root is recommended. Maybe I am missing something here and would be grateful if you could clarify the differences. Many thanks and kind regards, Rachita

Q1 deals with a growth rate 3 years later than time 1 thus it is the cubed root. Question 5 we are told 4 years later which is T5 and thus we obtain the 4th root.

if cooperation tax is not given in the question then we use the cost of debt before tax if cooperation tax is given in the question the we use cost of debt after tax

sir, in the last question the growth rate is 5.7% but I rounded it to 6 and got the wrong answer so that means we cannot round the growth rate figure right?

Could you please help me calculate ‘g’ the growth rate in questions 1 and 5. I understand the answers working but cannot get the answer on my calculator! Question 1: I am dividing 36 by 31.1 and then doing to the power of 3 Question 5: I am dividing 0.5 by 0.4 and then doing to the power of 4

Assuming it is a scientific calculator then it will have a button for nth root. If you are not sure how to use it then you need to look at the manual (if you do not have the manual then search on Google for the model number and you should be able to find it).

I assume that you have watched my free lectures on the valuation of securities, in which case you are happy that the market value is the present value of the expected receipts discounted at the investors required rate of return.

On $100 nominal, the interest is $6 per year for 8 years. In addition there is the redemption in 8 years time at $105 These flows are discounted at the investors required return of 7% (the before tax return, because investors are not affected by company tax).

If you have not watched the lectures then I do suggest that you do.

Matthew has 8% convertible loan notes redeemable in 5 years at nominal of $100. Each note can be converted for 70 shares (nominal $1), currently at $1.25ps but growing at 4% pa. Before tax cost of Matthew’s debt is 10% and after tax is 7%.

Dear Sir, I cannot understand the difference between the before-tax cost of debt and the after-tax cost of debt, and when do we use each of them.

Have you watched the free lectures, because it is all explained in the lectures (and there is obviously no point in attempting the tests without having watched the lectures first)?

The market value is determined by investors and is the present value of their expected receipts discounted at their required return. Their required return is the pre-tax cost of debt, because the investors do not get the benefit of tax relief.

The after-tax cost of debt is the cost to the company and is lower because the company does get the benefit of tax relief on the interest.

i was about to ask you a question in the tutor forum regarding this as i have seen in wacc questions we find an IRR to find the cost of convertible debt and in the present value calculation (using two different rates), the interest is post tax but in an mcq: market value of convertible is to be calculated and in the present value calculation the interest has no tax effect. sir i guess your above comment justifies it. 🙂 thanks as always. May God bless you with the best sir.

we have to find the market value we have used before tax rate which is 10% but what if the question says that company pays tax 30% then which value we should use ?

Why have you not read the previous replies (and why have you not watched my free lectures) ?

It is the investors who fix the market value and company tax is of no relevance to them. The market value is based on the pre-tax interest and on the pre-tax rate (which is the investors required rate of return).

Matthew has 8% convertible loan notes redeemable in 5 years at nominal of $100. Each note can be converted for 70 shares (nominal $1), currently at $1.25ps but growing at 4% pa. Before tax cost of Matthew’s debt is 10% and after tax is 7%.

My working – using 10% factors: $8.00 * 3.791 = $30.33 $100 * 0.621 = 62.10 Value of note = $92.43 Answer is showing as $96

The redemption is not at $100. They are convertibles and they will be expecting to convert because the value of the shares they will receive is expected to be higher at $106.46.

(Are you not getting a pop-up window showing the workings after you submit your answer? If not then maybe you have a pop-up blocker installed and you need to disable it while doing the tests.)

The market value is the present value of interest of $7 per year for 7 years, and a a repayment of $105 in 7 years time, discounted at their required return of 9%.

Market value = (7 x 5.033) + (105 x 0.547) = $92.67

please boss, how do i get to watch the free lectures, i know its rather late to asking that, but i have a particular topic i want to get a feel of. id be really happy if i get a quick response

Divyanga says

I didn’t get the 5th question that how 5.74% derive and what is mention there forth root of 0.50 means. Please help. Thank you!

John Moffat says

The current dividend is 50c and 4 years ago it was 40c, so we need the average annual growth per year over the 4 years.

I do explain how we get the annual growth rate from this information in my free lectures.

adaacca says

QN5. The growth rate is 6% after rounding off as you always do.

Advice please!!!

John Moffat says

We certainly do not always round growth rates!! Especially not here given that the choices of answers are obviously given to the nearest cent!

cgs92 says

To be fair you did round in the previous example. surely either round up or do not round at all (or specific to the Nearest x in the question?)

PapiBrado says

100%

The lectures really helped ??

adch111 says

Hi John,

In Q2 Is this market value not cum int? I thought we only assume ex int unless stated otherwise? I am aware of the definition being the expected future gains discounted at the required return. However this did throw me off. When do we just calculate for ex int?

thanks

adch111 says

Is this simply due to the share redemption being the choice and thus we need to account for the interest as well? Also is the $104.10 of the cash redemption and interest not already discounted? Thus being higher than the PV of the shares?

Thanks

bulut says

Dear Sir,

For the Q 1, I take the root 3 36/31.1= 0.7 not 0.5 as you get. What I am doing wrong? Do I need a new calculator, if yes which one is the best please?

Thank you in advance.

John Moffat says

It is not the square root. It is the third root because there are three years of growth. So the average growth is (third root (36/31.1)) – 1, as I explain in my free lectures.

It is a scientific calculator that you need. It doesn’t matter which one provided it only displays numbers and does not display letters.

rachita23 says

Dear John,

Thanks a lot for putting together a challenging set of practice questions! I have a question though – Both Q1 and Q5 involve calculations of geometric means. As per my understanding, both questions involve 4 periods. Yet, in Q1 the model solution recommends calculating the cube root, while for question 5 a 4th root is recommended. Maybe I am missing something here and would be grateful if you could clarify the differences.

Many thanks and kind regards,

Rachita

adch111 says

Q1 deals with a growth rate 3 years later than time 1 thus it is the cubed root. Question 5 we are told 4 years later which is T5 and thus we obtain the 4th root.

rishabbohra98 says

Sir why do we not take the after tax cost of debt?

rishabbohra98 says

Okay i understood the answer from the previous replies. But i wanted to know whether studying your lectures is enough to be able to pass the exam.

John Moffat says

The lectures are a complete course and cover everything needed to be able to pass the exam well.

faizanbajwa789 says

if cooperation tax is not given in the question then we use the cost of debt before tax if cooperation tax is given in the question the we use cost of debt after tax

John Moffat says

When calculating the WACC we always use the after-tax cost of debt. If there is no tax then the tax is zero.

Libin Jacob ACCA says

sir, in the last question the growth rate is 5.7% but I rounded it to 6 and got the wrong answer so that means we cannot round the growth rate figure right?

John Moffat says

In sections A and B it is best not to round. In Section C, rounding is less important because it is your workings that get the marks.

adg81 says

Hello John,

Could you please help me calculate ‘g’ the growth rate in questions 1 and 5.

I understand the answers working but cannot get the answer on my calculator!

Question 1: I am dividing 36 by 31.1 and then doing to the power of 3

Question 5: I am dividing 0.5 by 0.4 and then doing to the power of 4

John Moffat says

You need to take the third root in the first case, and the fourth root in the second case.

(For the fourth root you can take the square root twice. For the third root you do need a calculator that has an nth root button.)

adg81 says

Thank you.

Your lecture in Chapter 17 on this helped (that and learning how to use my scientific calculator!)

John Moffat says

You are welcome 🙂

natty2 says

sir i am trying to work out the third root but not getting any where is there any way you can tell me what to use i am using sharp calculator

John Moffat says

Assuming it is a scientific calculator then it will have a button for nth root. If you are not sure how to use it then you need to look at the manual (if you do not have the manual then search on Google for the model number and you should be able to find it).

syntyche97 says

i’m not getting the right answer for 3 question

could you please explain how its done?

John Moffat says

I assume that you have watched my free lectures on the valuation of securities, in which case you are happy that the market value is the present value of the expected receipts discounted at the investors required rate of return.

On $100 nominal, the interest is $6 per year for 8 years. In addition there is the redemption in 8 years time at $105

These flows are discounted at the investors required return of 7% (the before tax return, because investors are not affected by company tax).

If you have not watched the lectures then I do suggest that you do.

ruqayyah says

Question

Matthew has 8% convertible loan notes redeemable in 5 years at nominal of $100. Each note can be converted for 70 shares (nominal $1), currently at $1.25ps but growing at 4% pa.

Before tax cost of Matthew’s debt is 10% and after tax is 7%.

Dear Sir,

I cannot understand the difference between the before-tax cost of debt and the after-tax cost of debt, and when do we use each of them.

John Moffat says

Have you watched the free lectures, because it is all explained in the lectures (and there is obviously no point in attempting the tests without having watched the lectures first)?

The market value is determined by investors and is the present value of their expected receipts discounted at their required return. Their required return is the pre-tax cost of debt, because the investors do not get the benefit of tax relief.

The after-tax cost of debt is the cost to the company and is lower because the company does get the benefit of tax relief on the interest.

nadia says

i was about to ask you a question in the tutor forum regarding this as i have seen in wacc questions we find an IRR to find the cost of convertible debt and in the present value calculation (using two different rates), the interest is post tax but in an mcq: market value of convertible is to be calculated and in the present value calculation the interest has no tax effect. sir i guess your above comment justifies it. 🙂 thanks as always. May God bless you with the best sir.

John Moffat says

Thank you 🙂

haidershah says

even if company is paying tax ?

haidershah says

we have to find the market value we have used before tax rate which is 10% but what if the question says that company pays tax 30% then which value we should use ?

John Moffat says

Why have you not read the previous replies (and why have you not watched my free lectures) ?

It is the investors who fix the market value and company tax is of no relevance to them. The market value is based on the pre-tax interest and on the pre-tax rate (which is the investors required rate of return).

haidershah says

Thank You

John Moffat says

You are welcome 🙂

Vineeth says

Has the “Geometric average historical growth rate model” been explained in chapter 15? I did not find those in the lecture and notes.

John Moffat says

Yes it is explained. It is simply the way that past growth has been calculated in the lectures on the valuation of shares.

loong says

Question 5 of 5 (chapter 15 test 2 questions)

Using the dividend valuation model, my calculation was (0.5 x1.057)/(0.1-0.057) = $12.29

John Moffat says

But the growth rate is 5.74% (not 5.7%)

The correct workings appear as a pop-up window when you submit your answer.

gonko says

Matthew has 8% convertible loan notes redeemable in 5 years at nominal of $100. Each note can be converted for 70 shares (nominal $1), currently at $1.25ps but growing at 4% pa.

Before tax cost of Matthew’s debt is 10% and after tax is 7%.

My working – using 10% factors:

$8.00 * 3.791 = $30.33

$100 * 0.621 = 62.10

Value of note = $92.43

Answer is showing as $96

Have I gone wrong somewhere?

John Moffat says

The redemption is not at $100. They are convertibles and they will be expecting to convert because the value of the shares they will receive is expected to be higher at $106.46.

(Are you not getting a pop-up window showing the workings after you submit your answer? If not then maybe you have a pop-up blocker installed and you need to disable it while doing the tests.)

artid1 says

Hi

how do you calculate the answer to this question?

do i need to work out what the dividend was 4 years ago?

please help!

John Moffat says

Which question? There are 5 of them in this test!

(Have you watched our free lectures?)

artid1 says

Hi John,

it was question 4 of 5 (chapter 15 test 2 questions

I have watched the free lectures but I do not understand.

with the calculations it will make sense to me.

please can you guide me.

thank you

John Moffat says

The market value is the present value of interest of $7 per year for 7 years, and a a repayment of $105 in 7 years time, discounted at their required return of 9%.

Market value = (7 x 5.033) + (105 x 0.547) = $92.67

Oluwabusayo says

please boss, how do i get to watch the free lectures, i know its rather late to asking that, but i have a particular topic i want to get a feel of. id be really happy if i get a quick response

opentuition_team says

first you have to go to lectures page!

and if videos dont play – see support page for help

gonko says

Loan notes in issue of $100. Nominal int 6% payable annually. Redemption in Y8 at 100+5% = $105. Cost of debt 7%.

Using 7% factors:

My working is Y1-Y6 int at $6.00 * 5.971 = 35.83

and the redemption of $105 * .582 = 61.11

Total value of the note = 96.94.

Correct answer is 94.03?

Please help. Thank you so much.

John Moffat says

Sorry – the correct answer is 96.94

I will have it corrected. Thank you.