Question

In: Finance

Interest is compounded annually unless stated otherwise. Payments are at the end of the year unless...

Interest is compounded annually unless stated otherwise. Payments are at the end of the year unless stated otherwise. All bonds have a face value of $1000.

3. Lettuce Unite expects free cash flows of $10B next year, growing by 15% until year 2. After year 2, the growth rate falls to 4%. The cost of capital is 14%. They have $2B in cash and marketable securities and $25B in debt. There are 8B shares outstanding. Find the share price.

Solutions

Expert Solution

WACC= 14.00%
Year Previous year FCF FCF growth rate FCF current year Horizon value Total Value Discount factor Discounted value
1 0 0.00% 10 10 1.14 8.7719
2 10 15.00% 11.5 119.6 131.1 1.2996 100.87719
Long term growth rate (given)= 4.00% Value of Enterprise = Sum of discounted value = 109.65 B
Where
Current FCF =Previous year FCF*(1+growth rate)^corresponding year
Unless FCF for the year provided
Total value = FCF + horizon value (only for last year)
Horizon value = FCF current year 2 *(1+long term growth rate)/( WACC-long term growth rate)
Discount factor=(1+ WACC)^corresponding period
Discounted value=total value/discount factor
Enterprise value = Equity value+ MV of debt
- Cash & Cash Equivalents
109.65 = Equity value+25-2
Equity value = 86.65 B
share price = equity value/number of shares
share price = 86.65/8
share price = 10.83

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