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Weston Enterprises is an all-equity firm with two divisions. The soft drink division has an asset beta of 0.51, expects to ge

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Answer #1

a) First, we will calculate cost of capital of both the divisions,

Soft drink division

Cost of Capital = Risk free rate + Beta x Market Risk Premium

Cost of Capital = 2% + 0.51 x 5% = 4.55%

Chemical division

Cost of Capital = Risk free rate + Beta x Market Risk Premium

Cost of Capital = 2% + 1.13 x 5% = 7.65%

Value of Soft Drink division = Free cash Flow / (cost of capital - growth rate)

Value of Soft Drink division = $77 million /(4.55% - 3%) = $4,967.74 million

Value of Chemical division = Free cash Flow / (cost of capital - growth rate)

Value of Chemical division = $63 million /(7.65% - 2%) = $1,115.04 million

b)

Total value of firm = (4,967.74 + 1,115.04) Million

Total value of firm = $6,082.78 million

Current equity beta = Beta soft x Value Soft/Total value + Beta Chemical x Value Chemical/ Total Value

Weston's Current equity beta = 0.51 x $4,967.74/$6,082.78 + 1.13 x $1,115.04/$6,082.78

Weston's Current equity beta = 0.416 + 0.207 = 0.62 (approx)

c)Weston's cost of Capital

Cost of Capital = Risk free rate + Beta x Market Risk Premium

Weston's Cost of Capital = 2% + .62 x 5% = 5.12%(approx)

Its not useful because individual divisions are either less risky or more risky. The company's equity beta will decline towards 0.51 as the soft drink division has a higher growth rate and will be representing a larger fraction of the firm.

An upvote would be appreciated.

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