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Using WACC to value a project

Lt, Vyear then the investment’s initial levered value, , isfree cash flow of an investment at the end of year t, then the investment’s initial levered0WACC calculated in Eq. 18.1 remains constant over time. Because the WACC incorpo-1Lvalue, V , is0rates the tax savings from debt, we can compute the levered value of an investment, whichFCFFCF FCF c31 2L + + +=V (18.2)is its value including the benefit of interest tax shields given the firm’s leverage policy, by0 2 3+ + +1 r (1 r ) (1 r )wacc wacc wacc FCF is the expecteddiscounting its future free cash flow using the WACC. Specifically, if tfree cash flow of an investment at the end of year t, then the investment’s initial levered1 See this chapter’s appendix for a formal justification of this result.Using WACC to value a project1Lvalue, V , isLet’s apply the WACC method to value a project. Avco, Inc., is a manufacturer of custom packaging0products. Avco is considering introducing a new line of packaging.

The RFX series, that will include an embedded radio-frequency identification (RFID) tag, which is a miniature radio antenna and transponder that allows a package to be tracked much more efficiently and with fewer errors than standard bar codes.

Avco engineers expect the technology used in these products to become obsolete after four years. During the next four years, however, the marketing group expects annual sales of $60 million per year for this product line. Manufacturing costs and operating expenses are expected to be $25 million and $9 million, respectively, per year. Developing the product will require upfront R&D and marketing expenses of $6.67 million, together with a $24 million investment in equipment. The equipment will be obsolete in four years and will be depreciated via the

straight-line method over that period. Avco bills the majority of its customers in advance, and it expects no net working capital requirements for the project. Avco pays a corporate tax rate of 40%. Given this information, the spreadsheet in Table 18.1 forecasts the project's expected free cash flow.

18.1Given this information, the spreadsheet in Table forecasts the project's expected 2free cash flow.

The market risk of the RFX project is expected to be similar to that for the company's other lines of business. Thus, we can use Avco's equity and debt to determine the weighted average cost of capital for the new project. Table shows Avco's current market value 18.2The market risk of the RFX project is expected to be similar to that for the company's other lines of balance sheet and equity and debt costs of capital. Avco has built up $20 million in cash for business. Thus, we can use Avco's equity and debt to determine the weighted

Il costo medio del capitale di Avco è pari a $320 milioni. Avco ha bisogno di investimenti per un valore di $20 milioni per il nuovo progetto. La tabella 18.2 mostra il bilancio di Avco al valore di mercato attuale e il valore del patrimonio netto e del debito. Il valore dell'azienda, che rappresenta il valore di mercato dei suoi asset non monetari, è di $600 milioni. Avco ha accumulato $20 milioni in contanti per i bisogni di investimento, in modo che il suo debito sia di $300 milioni. Avco intende mantenere un rapporto debito-equity simile per il futuro prevedibile, compreso qualsiasi finanziamento relativo al progetto RFX. La tabella 18.1 mostra il flusso di cassa libero previsto dal progetto RFX di Avco.

o s t o f G o o d s S o l d ( 2 5 . 0 0 ) ( 2 5 . 0 0 ) ( 2 5 . 0 0 ) ( 2 5 . 0 0 )—Gross Profit3 3 5 . 0 0 3 5 . 0 0 3 5 . 0 0 3 5 . 0 0—4 O p e r a t i n g E x p e n s e s ( 6 . 6 7 ) ( 9 . 0 0 ) ( 9 . 0 0 ) ( 9 . 0 0 ) ( 9 . 0 0 )5 D e p r e c i a t i o n ( 6 . 0 0 ) ( 6 . 0 0 ) ( 6 . 0 0 ) ( 6 . 0 0 )—EBIT6 ( 6 . 6 7 ) 2 0 . 0 0 2 0 . 0 0 2 0 . 0 0 2 0 . 0 07 I n c o m e Ta x a t 4 0 % 2 . 6 7 ( 8 . 0 0 ) ( 8 . 0 0 ) ( 8 . 0 0 ) ( 8 . 0 0 )Unlevered Net Income8 (4.00) 12.00 12.00 12.00 12.00Free Cash Flow9 P l u s : D e p r e c i a t i o n 6 . 0 0 6 . 0 0 6 . 0 0 6 . 0 0—10 (24.00)Less: Capital Expenditures — — — —11 — — — —Le s s : I n c r e a s e s i n N W C —12 Fre e C a s h F l ow ( 2 8 . 0 0 ) 18 . 0 0 18 . 0 0 18 . 0 0 18 . 0 067718.2 The Weighted Average Cost of Capital Method 67718.2 The Weighted Average Cost of Capital Method

TABLE 18.2 Avco’s Current Market Value Balance Sheet ($

TABLE 18.2 Avco's Current Market Value Balance Sheet ($ million)
Assets Liabilities
Cash 20
Existing Assets 600
Total Assets 620
Liabilities Cost of Capital
Debt 320
Equity 300
Total Liabilities 620
Avco's weighted average cost of capital is 6.8%. With this capital structure, Avco's weighted average cost of capital is 6.8%. E D 300 300+ - + -= =r r r (1 ) (10.0%) (6.0%)(1 0.40) twacc E D cE D 300 300+ +E D E D 600 600+ - + -= =r r r (1 ) (10.0%) (6.0%)(1 0.40)t With this capital structure, Avco's weighted average cost of capital is 6.8%. wacc E D c+ +E D E D 600 600= 6.8% E D 300 300= 6.8%+ - + -= =r r r (1 ) (10.0%) (6.0%)(1 0.40) We can determine the value of the project, including the tax shield from debt, by twacc E D c+ +E D E D 600 600L calculating the present value of its future free cash flows, V , using the WACC: We can determine the value of the project, including the tax shield from debt, by 0= 6.8% L calculating the present value of its future free cash flows, V , using the WACC: We can determine the value of the project, including the tax shield from debt, by calculating the 018 18 18 18L + + += = $61.25 million V L We can determine the value of the project, including the tax shieldfrom debt, byVpresent value of its future free cash flows, , using the WACC:2 318 18 18 18 18 40 1.068 1.068 1.068 1.068L + + += $61.25 millionV Lcalculating the present value of its future free cash flows, V , using the WACC:2 3 40 1.068 1.068 1.068 1.068 0Because the upfront cost of launching the product line is only $28 million, this project is a good18 18 18 18- =idea—taking the project results in an NPV of 61.25 28 $33.25 million for the firm.Because the upfront cost of launching the product line is only $28 million, this project is a goodL + + += $61.25 million2 3 40 1.068 1.068 1.068 -1.068=idea—taking the project results in an NPV of 61.25 28 $33.25 million for the firm.Summary of the WACC MethodBecause the upfront cost of launching the product line is only $28 million, this project is a goodSummary of the WACC MethodBecause To summarize, the key steps in the WACC valuation method are as follows:the upfront cost of launching the product line is only $28 million,

this project is a good idea—taking the project results in an NPV of 61.25 - 28 = $33.25 million for the firm.

To summarize, the key steps in the WACC valuation method are as follows:

  1. Determine the free cash flow of the investment.

Summary of the WACC Method

  1. Determine the free cash flow of the investment.
  2. Compute the weighted average cost of capital using Eq. 18.1.
  3. Compute the value of the investment, including the tax benefit of leverage, by discounting the free cash flow of the investment using the WACC.

To summarize, the key steps in the WACC valuation method are as follows:

  1. Compute the weighted average cost of capital using Eq. 18.1.
  2. Compute the value of the investment, including the tax benefit of leverage, by discounting the free cash flow of the investment.

Using the WACC (Weighted Average Cost of Capital) method, the corporate treasurer calculates the firm's WACC, which is then used as the companywide cost of capital.

The key steps in the WACC valuation method are as follows:

  1. Determine the free cash flow of the investment.
  2. Compute the weighted average cost of capital using Eq. 18.1.2.
  3. Compute the value of the investment, including the tax benefit of leverage, by discounting the free cash flow of the investment using the WACC.
  4. Compute the WACC for new investments that are of comparable risk to the rest of the firm and that will not alter the WACC. This rate can then be used throughout the firm as the companywide cost of capital.

Summary of the WACC Method:

  1. Determine the free cash flow of the investment.
  2. Compute the weighted average cost of capital using Eq. 18.1.2.
  3. Compute the value of the investment, including the tax benefit of leverage, by discounting the free cash flow of the investment using the WACC.

by dis-3. Compute2 - Compute the weighted average cost of capital using Eq. 18.1.counting the free cash flow of the investment using the WACC.

3 - Compute t

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A.A. 2019-2020
146 pagine
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SSD Scienze economiche e statistiche SECS-P/09 Finanza aziendale

I contenuti di questa pagina costituiscono rielaborazioni personali del Publisher mane15 di informazioni apprese con la frequenza delle lezioni di Corporate finance e studio autonomo di eventuali libri di riferimento in preparazione dell'esame finale o della tesi. Non devono intendersi come materiale ufficiale dell'università Università Cattolica del "Sacro Cuore" o del prof Croci Ettore.