Question

In: Finance

) Firm XYZ is contemplating an expansion of £400 million of its existing business. Of this...

) Firm XYZ is contemplating an expansion of £400 million of its existing business. Of this initial investment, £380 million will be used to buy a new plant and £20 million will be invested in net working capital today (Year 0). The investment will be fully financed by new debt raised at 15% interest. The corporate tax rate is 40%. The asset cost of capital (that is, the discount rate that applies to unlevered free cash flows) is 20%. XYZ's management has produced the following forecasts (pro-forma) for the

expansion project for the next two years in case they undertake the expansion (in millions of pounds):

Year

0

1

2

EBIT

750

950

Depreciation

150

170

Capex (Capital Expenditures)

150

170

NWC (net working capital)

20

22

24

The terminal value of this project (as of Year 3) is zero, and debt will be fully repaid by the end of Year

2.

(a) Calculate the free cash flows and the interest tax shields for Years 1 and 2.

(b) Calculate the value of the project at Year 0, after the investment is made. What is the net present value of the project?

Solutions

Expert Solution

Free cash flows for year 1 = (EBIT - Interest)*(1-tax rate) - Net Capex - Change in NWC

= [(750-400*0.15)*(1-0.4)] - (150-150) - (22-20)

= (750-60)*0.6 - 0 -2

= 690*0.6 - 2

= 414 - 0 -2 = pound 412 million

Free cash flows for year 2 = (EBIT - Interest)*(1-tax rate) - Net Capex - Change in NWC

= [(950-400*0.15)*(1-0.4)] - (170-170) - (24-22)

= (950-60)*0.6 - 0 - 2

= 890*0.6 - 2

= 534 - 0 - 2 = pound 532 million

Interest tax shield for year 1 & 2 = Interest *tax rate

= pound 400 million *15%(0.4)

= pound 60 million *0.4

= pound 24 million

Value of the project in year 0 = Pound 400 million

Net present value of the project = Discounted Free cashflow - Initial Investment

= Cashflow in year 1/(1+discount rate) + Cashflow in year 2/(1+discount rate)^2 - Initial investment

= [412 million/(1+0.2)] + [532 million/(1+0.2)^2] - 400 million

= 412 million/1.2 + 532 million/(1.2)^2 - 400 million

= 343.33 million + 532 million/1.44 - 400 million

= 343.33 million + 369.44 million/1.44 - 400 million

= 312.77 million


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