In: Finance
You have the following data: FCF1 = $-2 million; FCF2 = $2 million; FCF3 = $4 million; FCF4 = $6 million; free cash flow grows at a rate of 3% for year 5 and beyond. The weighted average cost of capital is 10%. Assume they have 15 million in debt and 7 million shares outstanding. Find the price per share.
The answer is $7.46. Not sure how to do the work.
please find below the solution..
i | ii | iii | iv=ii+iii | v | vi=v*iv | |||||
year | Dividend | Terminal value | Total cash flow | PVIF @ 10% | present value | |||||
1 | (2.00) | - | (2.00) | 0.909091 | (1.82) | |||||
2 | 2.00 | - | 2.00 | 0.826446 | 1.65 | |||||
3 | 4.00 | - | 4.00 | 0.751315 | 3.01 | |||||
4 | 6.00 | 88.29 | 94.29 | 0.683013 | 64.40 | |||||
67.24 | ||||||||||
Computation of terminal value = expected dividend in year 3/(required rate - growth rate) | ||||||||||
=6*103%/(10%-3%) | ||||||||||
88.29 | ||||||||||
i | Value of firm = | $ 67.24 | ||||||||
ii | Value of debt | 15 | ||||||||
iii=i-ii | Value of equity | $ 52.24 | ||||||||
iv | Number of share = | $ 7.00 | ||||||||
v=iii/iv | Price per share = | $ 7.46 | ||||||||
therefore answer = | $ 7.46 | |||||||||