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)

Question

Frank Sampson

Business

28 June, 18:57

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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Answers (1)

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Shaniya Rush · Answer 1

(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