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Npv with taxation and inflation

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA FM Exams › Npv with taxation and inflation

  • This topic has 5 replies, 2 voices, and was last updated 11 years ago by John Moffat.
Viewing 6 posts - 1 through 6 (of 6 total)
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  • April 25, 2014 at 9:18 am #166221
    adylgjeri
    Member
    • Topics: 5
    • Replies: 6
    • ☆

    Hi

    actually im resolving the questions at the end of the Kaplan Text (for june 14 sit) (Question and answers) and specifically the question nr 7. Npv with taxation and inflation
    In the answer provided , i dont understand where did the value of WDA Tax Benefit of 75.000 comes from ,and which is equally for the 4 life period of the project

    Could you please clear me on this issue
    Best Regards
    Ana

    April 25, 2014 at 9:45 am #166227
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54696
    • ☆☆☆☆☆

    I am sorry but I do not have the Kaplan text.

    If it is a past exam question and you let me know the name of it, then I can find it.
    Otherwise you will have to type the extract from the question that details the tax position and then I will try and explain for you.

    April 25, 2014 at 10:40 am #166238
    adylgjeri
    Member
    • Topics: 5
    • Replies: 6
    • ☆

    SC Co is evaluating the purchase of a new machine to produce product P, which has a short product life-cycle due to rapidly changing technology. The machine is expected to cost $1 million. Production and sales of product P are forecast to be as follows
    Year Production and sales (units/year)
    1 35.000
    2. 53.000
    3. 75.000
    4. 36.000
    The selling price of product P (in current price terms) will be $20 per unit, while the variable cost of the product (in current price terms) will be $12 per unit. Selling price inflation is expected to be 4% per year and variable cost inflation is expected to be 5% per year. No increase in existing fixed costs is expected since SC Co has spare capacity in both space and labour terms.

    Producing and selling product P will call for increased investment in working capital. Analysis of historical levels of working capital within SC Co indicates that at the start of each year, investment in working capital for product P will need to be 7% of sales revenue for that year.

    SC Co pays tax of 30% per year in the year in which the taxable profit occurs. Liability to tax is reduced by capital allowances on machinery (tax-allowable depreciation), which SC Co can claim on a straight-line basis over the four-year life of the proposed investment. The new machine is expected to have no scrap value at the end of the four-year period.

    SC Co uses a nominal (money terms) after-tax cost of capital of 12% for investment appraisal purposes.
    Calculate the net present value

    In the answer the WDA is given at a value of 75.000, which im not clear where it comes from

    the answer is given below
    Year

    Year 0 1 2 3 4
    $ $ $ $
    Total contribution 287,0 445,2 645,8 317,3
    Taxation -86,1 -133,6 -193,7 -95,3
    WDA tax benefit 75,0 75,0 75,0 75,0
    Initial investment -1,000
    Working capital -50,96 -29,3 -37,9 59,2 59,0
    –––––– –––––– ––––––– –––––– ––––––
    Net cash flows (1,050.9) 246,6 348,8 586,2 356,2
    Discount factor at 1.000,0 0.893 0.797 0.712 0.636
    12% –––––––– –––––– ––––––– –––––– –––––––
    Present value (1,050,9) 220,2 278,0 417,4 1,366,6

    NPV =$ 91,154

    April 25, 2014 at 10:54 am #166240
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54696
    • ☆☆☆☆☆

    The machine costs $1M.

    The capital allowances are given on a straight-line basis, and so are $1M/4 = 250,000 per year.

    Tax is 30%, and so the tax saved due to the capital allowances is 250,000 x 30% = 75,000 per year.

    April 25, 2014 at 11:27 am #166252
    adylgjeri
    Member
    • Topics: 5
    • Replies: 6
    • ☆

    AAAAAAAAAAAAAAAAAAAAA 🙂

    I Did the calculation up to 1mln/4=250.000 🙂
    i forgot the 30% tax rate to multiply it with te figure above 🙂

    Thats why i was wondering where did this come from 🙂

    thanks thanks

    for sure , you gone hear me again 🙂
    hope i will not bother you

    April 25, 2014 at 11:28 am #166254
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54696
    • ☆☆☆☆☆

    You are welcome 🙂

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