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Black-Scholes option pricing model

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA AFM Exams › Black-Scholes option pricing model

  • This topic has 3 replies, 3 voices, and was last updated 1 year ago by John Moffat.
Viewing 4 posts - 1 through 4 (of 4 total)
  • Author
    Posts
  • January 26, 2022 at 8:39 pm #647546
    shaunak22
    Participant
    • Topics: 218
    • Replies: 41
    • ☆☆☆

    SCENARIO –
    Project 1 has an NPV of –$10,000; it will also develop expertise so that Entraq would be ready to
    penetrate the European market with an improved product in four years’ time. The expected cost at Time 4 of the investment is $600,000. Currently the European project is valued at 0 NPV but management believe that economicconditions in four years’ time may change and the NPV could be positive. The standard deviation is 30%, the risk-free rate is 4% and the cost of capital is 10%

    QUESTION – list down the vairiable needed to complete call option formula

    Pa = PV of cash inflow
    Pe = cost of investment

    ANSWER

    Pa =600000 discounted back to time 0 @10% =409800
    Pe =600000

    DOUBT

    1) should’t the present value of cash inflow be 590000 since they invested 6000000 and got a negative NPV -10000 ?

    2) the present value of cash inflow is not mentioned how do they know that the present value of cash inflow is 600000

    January 27, 2022 at 9:14 am #647577
    John Moffat
    Keymaster
    • Topics: 56
    • Replies: 51583
    • ☆☆☆☆☆

    1. The question says that the NPV of the European project is zero.

    2. If the NPV is zero then the PV of the inflows must be equal to the PV of the outflows.

    January 29, 2022 at 2:45 pm #647692
    aishathwasma
    Participant
    • Topics: 0
    • Replies: 2
    • ☆

    Hello, I have watched the lecture on this topic and the example we are getting d1= 1.22 and d2=0.87.
    For calculating N(d1) which is N(1.22) we are selecting the probability of 0.3888 which is 0.02 from above the normal distribution table and for N(d2) which is N(0.87) we are selecting the probability of 0.3078 which is 0.07 from the values above the table.

    can u explain to me if the values on the top of the normal distribution are taken into account when selecting the probability of N(dx).

    January 29, 2022 at 4:55 pm #647708
    John Moffat
    Keymaster
    • Topics: 56
    • Replies: 51583
    • ☆☆☆☆☆

    But I do explain how to use the tables in the lecture!!

    To look up 1.22 we use the 1.2 row, and then for the second decimal place we use the columns. so for 1.22 we use the q.2 row and then the 0.02 column.

    For 0.87, we use the 0.8 row and the 0.07 column.

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