WACC calculation.

WACC = RD*(1-t)*D/(D+E)+RE* E/(D+E)

Cost of equity

We assume that risk free rate (Rf) equals rate of long-term Treasury Bonds (as the project’s life is 10 years), so Rf = 9.5%.

According to Aswath Damodaran equity risk premium in the US in 1979 was 6.45%, thus Rm – Rf = 6.45%.

We will estimate beta equity using data of comparable firms, focusing on production only sodium chlorate: Brunswick Chemical and Sothern Chemicals. To calculate beta asset we’ll use information about beta equity and equity-to-value ratio. As well we assume that debt beta equals zero:

To adjust beta in accordance with project we assume that in the long-run Dixon will maintain its target debt-to-capital ratio in proportion of 35%. Thus, we get the following beta asset of the project that accounts for Dixon’s capital structure: Betaproject = 0.94/(1-0.35) = 1.45

RE = Rf + Bproject*(Rm-Rf) = 9.5% + 1.45*6.45% = 18.85%

Cost of debt

We assume that cost of debt equals 11.25% as Dixon issue bonds at this rate for the purpose of this project financing. Marginal tax rate = 3,818/(3,818+4,024) = 48,68%

RD*(1-t) = 11.25%*(1-48.68%) = 5.77%

WACC

WACC = RD*(1-t)*D/(D+E)+RE* E/(D+E)

= 5.77%*0.35 + 18.85%*0.65 = 14.27%.

APV-based evaluation

The rate we’re looking for APV evaluation is return on equity if this project is 100% equity financed. So we use unlevered average beta for evaluation as equity-to value ratio equals 1. Betaequity = Betaasset = 0.94

RE = Rf + Bequity*(Rm-Rf) = 9.5% + 0.94*6.45% = 15.56%

2) Project the incremental cash flows associated with the acquisition of the Collinsville plant without the laminate technology. Use projections from Exhibit 8 through 1984. After 1984 assume: EBIT is flat; capital expenditures are $600,000 per year; and that net working capital increases 8% per year. Assume that the plant is shut down at the end of 1989 and that its salvage value is zero.

Depreciation would increase as the value of plant in the amount of $10.6 mln should be written off. We estimated average depreciation growth in 1980-1984 is 4.6%. So after 1984 we assume that depreciation would increase by 4.6% each year. Thus some assets (recent years’ CAPEX) will remain on the balance. Under these assumptions we get the following forecast of incremental cash flow without the laminate technology:

3) Estimate the value of the Collinsville plant without the laminate technology using the simple WACC method.

Using the calculated WACC of 14.27% and the free cash flows calculated in question 2 above; we calculated the value of the Collinsville plant without laminate technology to be $ 9.536million. The calculation is shown below.

| 1979| 1980| 1981| 1982| 1983| 1984| 1985| 1986| 1987| 1988| 1989| FCF| | 1,206 | 1,407 | 1,892 | 2,074 | 2,073 | 2,116 | 2,163 | 2,213 | 2,264 | 2,318 | WACC| | 0.1427| 0.1427| 0.1427| 0.1427| 0.1427| 0.1427| 0.1427| 0.1427| 0.1427| 0.1427| Disc. Rate| | 1.1427| 1.1427| 1.1427| 1.1427| 1.1427| 1.1427| 1.1427| 1.1427| 1.1427| 1.1427| no of periods| 0| 1| 2| 3| 4| 5| 6| 7| 8| 9| 10| time factor| | 1.14| 1.31| 1.49| 1.71| 1.95| 2.23| 2.54| 2.91| 3.32| 3.80| discount factor| | 0.88| 0.77| 0.67| 0.59| 0.51| 0.45| 0.39| 0.34| 0.30| 0.26| P.V. @ t=o| | 1,055.83 | 1,077.74 | 1,267.72 | 1,216.63 | 1,063.96 | 950.26 | 850.40 | 761.26 | 681.66 | 610.56 | Total=| 9,536.02 | | | | | | | | | | |

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