Tichtop Ltd is considering investing $80 million in equipment which will generate a net cash flow of $32 million per year for four years. The company is able to depreciate the equipment at rate of 20% per year on a straight line basis for tax purposes. The market value of the equipment at the end of four years is expected to be $30 million. The difference between the market value and the equipment’s tax value is subject to tax. The corporate tax rate is 28% and the company’s cost of capital is 14%.

Calculate: (a) the project’s NPV (b) the project’s IRR (c )the project’s MIRR ( d ) the project’ pay back this is my due assignment and i have no clue on how to write it please help

I do not quite understand Q4 – could you please explain why the statement about a graph with NPV on “Y” and interest rate on “X” – wouldn’t it have a negative slope?

If it is an outflow followed by inflows, then yes – it would have a negative slope. But if, for example, it was an inflow followed by outflows, then it would have a positive slope 🙂

Hello, could you please help me with this investment appraisal -allowing for tax and inflation. If a question reads ( A project has the following projected cash inflows

Year 1 $100,000 Year 2 $125,000 Year 3 $ 105,000 Working capital is required to be in place at the start of wach year equal to 10% of the cash inflow for that year. The cost of capital is 10%.

What is the present value of the working capital? How do you go about answering it?

Please ask in the Ask the Tutor Forum and not as a comment on a test.

However, have you not watched the free lectures? I work through a very similar example in the lecture on relevant cash flows for investment appraisal, explaining how to answer it!

The first receipt is in 3 years time, the second is in 4 years time, and so on. If you carry on counting (use your fingers) you will find the 7th receipt is in 9 years time.

I do not quite understand Q4 – could you please explain why the statement ‘There is only ever one IRR’ is not correct? And also the statement about a graph with NPV on “Y” and interest rate on “X” – wouldn’t it have a negative slope?

For a conventional set of cash flows (i.e. an outflow followed by a series of inflows) then there will be only one IRR and there will be a negative slope. However, if there is more than one change of sign (e.g. outflow followed by inflows followed by outflow) then there can be more than one IRR and the graph will be a curve with an upward and a downward slope. This is one of the standard possible problems with using IRR and I do explain it in the free lecture.

The NPV at 20% is -0.266. I haven’t converted anything.

(It is actually of course -266,000, and the NPV at 15% is actually +343,000, but using those figures will obviously give exactly the same answer with more messaging around)

Have you watched my free lectures on this? (Because there is no point in attempting the tests if you have not watched the lectures!)

If you have watched the lectures then you will know that the 10 year annuity factor is the total of the discount factors for years 1 to 10.

If we subtract the 2 year annuity factor (which is the total of the discount factors for years 1 to 2), the we are left with the total of the factors for years 3 to 10, which is what we want 🙂 )

The discount factor for a perpetuity is 1/r (which in this case is 1/0.11). However this gives the present value when the first receipt is in 1 years time – so 1 to infinity.

In this question the first receipt is immediate – time 0 – and then we get receipts for 1 to infinity. The PV of a receipt at time 0 is the amount of the receipt, and so to get the total PV we need to add this on.

Question 3 IRR 20% I calculated (2400*0.833) + (3100*0.694) + (2100*0.579) + (1800*0.482) = 6234 Less 6500 = 266 Please let me know where I went wrong.

For question 3, i keep getting 0.343 for the 15% discount factor? Also why is 0.307 and 0.2659 added together to get the IRR, isn’t 0.2659 a minus number?

Because discounting the perpetuity gives the PV when the first flow is in one years time. In this question the first flow is immediate, and the PV of 12,000 receivable immediately is 12,000.

For Q5, currently to work out the DF for a 9 year annuity i am using the tables and adding each year e.g. for 10% 0.909 + 0.826 + 0.751 + …+ 0.424 = 5.758. However I’m finding this quite time consuming and there is the chance to enter a number incorrectly.

I was just wondering is there a formula that you can you to quickly work out the DF?

Why don’t you just use the annuity tables that are provided in the exam? Those tables do it for you!!

I do suggest that you watch our free lectures on this (and the relevant F2 lectures as well if needed, because the discounting itself is all revision of Paper F2).

In Question 5 Why is it that the cash inflow period is 3-9 years and not 3-10 years? Is it not the first receivable in 3 years and then add 7 years you get 10. I have the same doubt in the lecture as well

There are 7 years of flows in total and the first is in 3 years time. So the second is in 4 years time, the third is in 5 years time, and so on. If you carry on counting then you will find that the last of the 7 years of flows is in 9 years time 🙂

If there are any where you do not understand the answer then do ask in the Ask the Tutor Forum 🙂 (and I do assume you are watching our free lectures – they are a complete course for Paper F9)

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hameedy says

June 11, 2019 at 7:37 amthanks

maiharmo says

October 30, 2018 at 2:42 pmTichtop Ltd is considering investing $80 million in equipment which

will generate a net cash flow of $32 million per year for four years.

The company is able to depreciate the equipment at rate of 20% per

year on a straight line basis for tax purposes. The market value of

the equipment at the end of four years is expected to be $30 million.

The difference between the market value and the equipment’s tax value

is subject to tax. The corporate tax rate is 28% and the company’s

cost of capital is 14%.

Calculate:

(a) the project’s NPV

(b) the project’s IRR

(c )the project’s MIRR

( d ) the project’ pay back

this is my due assignment and i have no clue on how to write it please help

rishabbohra98 says

August 14, 2018 at 6:08 pmI do not quite understand Q4 – could you please explain why the statement about a graph with NPV on “Y” and interest rate on “X” – wouldn’t it have a negative slope?

John Moffat says

August 14, 2018 at 6:25 pmIf it is an outflow followed by inflows, then yes – it would have a negative slope. But if, for example, it was an inflow followed by outflows, then it would have a positive slope 🙂

ngodo says

May 24, 2018 at 8:54 amHello, could you please help me with this investment appraisal -allowing for tax and inflation. If a question reads ( A project has the following projected cash inflows

Year 1 $100,000

Year 2 $125,000

Year 3 $ 105,000

Working capital is required to be in place at the start of wach year equal to 10% of the cash inflow for that year. The cost of capital is 10%.

What is the present value of the working capital?

How do you go about answering it?

John Moffat says

May 24, 2018 at 2:01 pmPlease ask in the Ask the Tutor Forum and not as a comment on a test.

However, have you not watched the free lectures? I work through a very similar example in the lecture on relevant cash flows for investment appraisal, explaining how to answer it!

rasiksharma says

January 29, 2018 at 4:11 pmIn question 5,

thereafter each for 7 years should mean upto 10 years isn’t it. i.e 3 + 7 =10

John Moffat says

January 29, 2018 at 4:20 pmNo.

The first receipt is in 3 years time, the second is in 4 years time, and so on.

If you carry on counting (use your fingers) you will find the 7th receipt is in 9 years time.

dzascik says

May 11, 2017 at 10:12 pmDear John,

I do not quite understand Q4 – could you please explain why the statement ‘There is only ever one IRR’ is not correct?

And also the statement about a graph with NPV on “Y” and interest rate on “X” – wouldn’t it have a negative slope?

Thank you!

John Moffat says

May 12, 2017 at 6:48 amFor a conventional set of cash flows (i.e. an outflow followed by a series of inflows) then there will be only one IRR and there will be a negative slope.

However, if there is more than one change of sign (e.g. outflow followed by inflows followed by outflow) then there can be more than one IRR and the graph will be a curve with an upward and a downward slope.

This is one of the standard possible problems with using IRR and I do explain it in the free lecture.

dzascik says

May 12, 2017 at 5:30 pmThank you! Now I get it 🙂

John Moffat says

May 12, 2017 at 6:57 pmThat’s good 🙂

mittalkaran67 says

February 2, 2017 at 6:55 amsir,

in question 3 how do you converted 266 in 0.266?

John Moffat says

February 2, 2017 at 7:38 amI don’t know what you mean.

The NPV at 20% is -0.266. I haven’t converted anything.

(It is actually of course -266,000, and the NPV at 15% is actually +343,000, but using those figures will obviously give exactly the same answer with more messaging around)

Helen says

January 11, 2017 at 1:10 pmPlease sir, can you explain question 5

John Moffat says

January 11, 2017 at 7:00 pmHave you watched my free lectures on this? (Because there is no point in attempting the tests if you have not watched the lectures!)

If you have watched the lectures then you will know that the 10 year annuity factor is the total of the discount factors for years 1 to 10.

If we subtract the 2 year annuity factor (which is the total of the discount factors for years 1 to 2), the we are left with the total of the factors for years 3 to 10, which is what we want 🙂 )

syntyche97 says

December 3, 2016 at 6:22 pmi still don’t get question 1.

could you please explain it again?

John Moffat says

December 4, 2016 at 7:17 amThe discount factor for a perpetuity is 1/r (which in this case is 1/0.11).

However this gives the present value when the first receipt is in 1 years time – so 1 to infinity.

In this question the first receipt is immediate – time 0 – and then we get receipts for 1 to infinity.

The PV of a receipt at time 0 is the amount of the receipt, and so to get the total PV we need to add this on.

jacinta says

November 8, 2016 at 6:59 pmThank you so much.

dolatokun says

July 27, 2016 at 6:47 amQuestion 3

IRR 20%

I calculated (2400*0.833) + (3100*0.694) + (2100*0.579) + (1800*0.482) = 6234

Less 6500 = 266

Please let me know where I went wrong.

John Moffat says

July 27, 2016 at 7:17 am6234 – 6500 = (266), which is the same as in the ‘pop-up’ answer.

dolatokun says

July 27, 2016 at 6:26 amThank you for all youtr help John

John Moffat says

July 27, 2016 at 7:13 amYou are welcome 🙂

hlipschutz says

June 20, 2016 at 10:58 amFor question 3, i keep getting 0.343 for the 15% discount factor?

Also why is 0.307 and 0.2659 added together to get the IRR, isn’t 0.2659 a minus number?

John Moffat says

June 20, 2016 at 3:16 pmThe NPV is 0.343. It is an error and I will have it corrected.

As far as adding the two NPV’s together, the difference between + .307 and – .2659 is the two added together.

The correct answer is IRR = 15% + (0.343 / (0.343 + 0.2659) x 5% = 17.8%

hlipschutz says

June 20, 2016 at 5:08 pmThank you so much!

John Moffat says

June 21, 2016 at 8:24 amThank you for spotting the error 🙂

Achilleas says

May 14, 2016 at 5:02 pmQ1: Can you please explain why you add 12,000 to 109,100 (1/0.11*12,000)? Thanks

John Moffat says

May 15, 2016 at 8:07 amBecause discounting the perpetuity gives the PV when the first flow is in one years time.

In this question the first flow is immediate, and the PV of 12,000 receivable immediately is 12,000.

achmast says

June 4, 2016 at 10:06 amThanks a lot John

John Moffat says

June 4, 2016 at 4:06 pmYou are welcome 🙂

stan15 says

April 8, 2016 at 1:46 pmQ2: I got $109,100.

Why should we add the $ 12,000 to the $ 109,100. Please help.

Q3: How do you get +0.307 for NPV 15%? I got +0.343 {(-6.5) +2.088+2.3436+1.3818+1.0296}

John says

February 26, 2016 at 12:12 pmFor Q5, currently to work out the DF for a 9 year annuity i am using the tables and adding each year e.g. for 10% 0.909 + 0.826 + 0.751 + …+ 0.424 = 5.758. However I’m finding this quite time consuming and there is the chance to enter a number incorrectly.

I was just wondering is there a formula that you can you to quickly work out the DF?

John Moffat says

February 26, 2016 at 3:44 pmWhy don’t you just use the annuity tables that are provided in the exam? Those tables do it for you!!

I do suggest that you watch our free lectures on this (and the relevant F2 lectures as well if needed, because the discounting itself is all revision of Paper F2).

John says

February 27, 2016 at 12:40 pmThanks, its all come back now

John Moffat says

February 27, 2016 at 12:57 pmYou are welcome 🙂

Myra says

February 23, 2016 at 3:31 pmFor the third question, how is the npv at 15% and 20% calculated? I’m just not coming up with the answers.

Vineeth says

January 6, 2016 at 1:01 amIn Question 5 Why is it that the cash inflow period is 3-9 years and not 3-10 years? Is it not the first receivable in 3 years and then add 7 years you get 10.

I have the same doubt in the lecture as well

John Moffat says

January 6, 2016 at 7:48 amThere are 7 years of flows in total and the first is in 3 years time. So the second is in 4 years time, the third is in 5 years time, and so on. If you carry on counting then you will find that the last of the 7 years of flows is in 9 years time 🙂

Vineeth says

January 7, 2016 at 12:34 amOh alright. Thank you 🙂

John Moffat says

January 7, 2016 at 8:32 amYou are welcome 🙂

Sayem says

December 27, 2015 at 6:30 pmWow, its a great practice for me but I always stuck on Theory based mcq’s Sir Moffat.

John Moffat says

December 28, 2015 at 7:17 amIf there are any where you do not understand the answer then do ask in the Ask the Tutor Forum 🙂

(and I do assume you are watching our free lectures – they are a complete course for Paper F9)