In: Accounting
Emma Limited’s current and forecasted free cash flows to the firm (FCFF) over the forecast horizon and the terminal period are as follows ($ millions):
| 
 ($ millions)  | 
 Current  | 
 Forecast Horizon  | 
 Terminal Period  | 
|||
| 
 2020  | 
 2021  | 
 2022  | 
 2023  | 
 2024  | 
 2025  | 
|
| 
 FCFF  | 
 1,697  | 
 1,799  | 
 1,907  | 
 2,021  | 
 2,051  | 
 2,082  | 
Valuation assumptions and other information for Emma Limited are as follows:
| 
 Terminal growth rate  | 
 1.5%  | 
| 
 Shares outstanding in millions  | 
 2,250  | 
| 
 Net nonoperating obligations (NNO) ($ millions)  | 
 9,000  | 
| 
 WACC  | 
 8.00%  | 
REQUIRED:
Estimate Emma Limited’s equity value per share at the end of 2021 using the DCF model.
Let us calculate PV of FCF
FV = PV
i = WACC = 8%
The following excel sheet shows PV of FCF for 6 years
PV factor is 
, substituting this PV factor column of excel sheet
| year | FCF ($) | PV factor | PV ($) | 
| 2020 | 1697 | 1.08 | 1571.296296 | 
| 2021 | 1799 | 1.1664 | 1542.352538 | 
| 2022 | 1907 | 1.259712 | 1513.838084 | 
| 2023 | 2021 | 1.36048896 | 1485.495333 | 
| 2024 | 2051 | 1.469328077 | 1395.876137 | 
| 2025 | 2082 | 1.586874323 | 
 1312.013163  | 
Total PVCF =
| $ 8820.87155 million | 
FCFF witrh terminal growth rate in 2025 = 2082 x (1+1.5%) = 2082 x 1..015 = $2113.23 million
Terminal value in 2025 is 2113.23 / WACC - terminal growth rate = 2113.23 / 8% - 1.5% = 2113.23 / 6.5%
= $32,511.23 million
Discounting terminal value to its PV is 32511.23 / 
 =
PV = 32511.23 / 1.5869 = $20,487.26 million
Total PVCF + PV of terminal valu is = $ 8820.87155 + $20,487.26 = $29,308.13 million
Net obligation or net debts = $ 9000 million
NET PVCF or intrinsic value of CF = $29,308.13 - $9000 =$20,308.13 million
Equity value per share of Emma limited = Intrinsic value of CF / no.of shares outstanding =
20,308.13 / 2250 = $9.026 per share