Question

In: Finance

Today is January 31, 2018. You forecasted the following cash flows (in millions) for a firm:...

Today is January 31, 2018. You forecasted the following cash flows (in millions) for a firm:

Cash flow from operations

January 31, 2019

          $4,822.32

January 31, 2020

          $5,342.00

January 31, 2021

          $4,525.11

Cash investment in operations

January 31, 2019

              $800.44

January 31, 2020

              $913.21

January 31, 2021

              $874.14

In addition, you are given the following data:

Net debt

January 31, 2018

              $342.11

and

Free cash flow growth after 2021

3.00%

Required return

10.00%

What is the equity value of the firm (in millions) using Discounted Cash Flow model? Hint: First, calculate the free cash flows and discount the free cash flows. Finally, subtract the net debt to obtain equity value.

$46,434.11

$48,111.02

$50,079.02

$52,515.77

Solutions

Expert Solution

Years Ending
Jan31,2019 Jan31,2020 Jan31,2021 Jan31,2022
N Years from today(Jan,312018) 1 2 3 4
A Cash Flow from Operations ($ million) $4,822.32 $5,342.00 $4,525.11
B Cash Flow for investment ($ million) ($800.44) ($913.21) ($874.14)
C=A+B Free Cash Flow ($ million) $4,021.88 $4,428.79 $3,650.97
D Expected Free Cah flow in year 4=3650.97*1.03 $3,760.50
E=D/(0.1-0.03) Horizontal Value of the firm in year3 $53,721.42 SUM
F=C/((1+0.1)^N) Present Value of Expected Free Cash Flow 3656.2545 3660.15702 2743.0278 10059.4394
G Net Present Value of Free Cash flows of Year1-3 10059.439
H=E/(1.1^3) Present Value of Horizontal Value 40361.695
I=G+H Present Value of the firm($ million) $50,421.13
J Present Value of Debt in Jan31.2018 $342.11
K=I-J Equity Value of the firm ($ million) $50,079.02
ANSWER: $50,079.02(million)

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