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24 February, 14:26

Assume a new investment project is expected to generate $1,000 and $1,000 in free cash flows for two years (2021 (first year) and 2022 (Second year)), respectively. The forecasted annual inflation is 2 % a year. Show (4) the actual (or real) free cash flow (after inflation rate is considered) in 2021 (First Year) and 2022 (Second Year). If WACC is 10%, what is the (5) present value of the investment (Investment year is 2020)

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  1. 24 February, 17:19
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    (4) The the actual (or real) free cash flow (after inflation rate is considered)

    2021 (First Year) : $980.39

    2022 (Second Year) : $961.17

    (5) Present value of the investment (Investment year is 2020) is $1,735.54

    Explanation:

    Free cash flow in 2021: $1000

    Free cash flow in 2022: $1000

    WACC (discounting rate) : 10%

    (4) The the actual (or real) free cash flow (after inflation rate is considered) in 2021 (First Year) and 2022 (Second Year):

    FCF in 2021 after considering inflation = $1000 / (1+2%) = $980.39

    FCF in 2022 after considering inflation = $1000 / ((1+2%) ^2) = $961.17

    (5) Present value of the investment (Investment year is 2020)

    PV = Cash flow in year 1 / (1 + discounting rate) + Cash flow in year 2 / (1 + discounting rate) ^2

    = 1000 / (1+10%) + 1000 / ((1+10%) ^2)

    =1,735.54
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