Question

2.1. Marshall Industries Limited is a large publicly listed company and is the market leader in vacuum cleaner manufacturing

Required: 1. Calculate the projects initial (time 0) cash flows. (2 marks) 2. Compute the weighted average cost of capital (

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Answer #1

Answer 1.

Project's initial cash flow = Manufacturing plant cost + Opportunity cost of Land + Working Capital

= 275 + 1.75 + 8.25 = $285 Million

Opportunity cost of Land = Selling price as on investment date - Cost of purchase

= 9.75 - 8 = $1.75 Million

Answer 2.

Calculation of Weighted Average Cost of Capital = Cost of Equity*% Equity + Cost of debt*% debt (1-tax rate) + Cost of preferred stock*%preferred stock

= 10*67.60% + 7.25*0.93% (1-0.28) + 6.5*31.47%

= 6.76 + 0.05 + 2.04

= 8.85%

Notes-

1. Calculation of Cost of Equity = D1/P0*100

= 5.5/55*100 = 10%

D1 = Dividend of next year

P0 = Market price of Equity share

2. Calculation of weights

Weight of Equity = Market value of Equity / Total value of Equity, Debt and Preferred stock

= 15,000,000 * 55 / 1220,400,000

= 67.60%

Weight of Debt = Market value of Debt / Total value of Equity, Debt and Preferred stock

= 11,400,000 / 1220,400,000

= 0.93%

Weight of Preferred Stock = Market value of Preferred Stock / Total value of Equity, Debt and Preferred stock

= 384,000,000 / 1220,400,000

= 31.47%

Total value of Equity, Debt and Preferred stock = Market value of Equity+Market Value of Debt+Market value of Preferred stock

= 15,000,000*55 + 120,000*95 + 12,000,000*32

= 1220,400,000

Answer 3.

Calculation of Net Present Value

Year Initial cost Sale Proceeds Variable cost Fixed Cost Depreciation Loss on sale of asset Cash Flow before Tax Tax Cash Flow after tax Profit on sale of Land Net cash flow PV factor @8.85% Presenet Value
0 -285000000 -285000000 1 -285000000
1 660000000 28500000 250000000 63250000 0 318250000 89110000 229140000 229140000 0.92 210509876
2 660000000 28500000 250000000 47437500 0 334062500 93537500 240525000 240525000 0.84 203003421
3 660000000 28500000 250000000 35578125 0 345921875 96858125 249063750 249063750 0.78 193119097
4 660000000 28500000 250000000 26683593.75 0 354816406.3 99348593.75 255467813 255467813 0.71 181979495
5 660000000 28500000 250000000 20012695.31 0 361487304.7 101216445.3 260270859 260270859 0.65 170326954
6 660000000 28500000 250000000 15009521.48 -23028564 343461914.5 96169336.06 247292578 6000000 253292578 0.60 152283155
Net Present Value 826221998

Notes-

1. Calculation of Depreciation

Year Cost Depreciation WDV
0 253000000
1 63250000 189750000
2 47437500 142312500
3 35578125 106734375
4 26683593.75 80050781
5 20012695.31 60038086
6 15009521.48 45028564

2. Calculation of Loss on sale of Asset

= WDV at the year end of 6 - Sale value

= 45028564 - 22000000

= 23028564

3. Profit on sale of Land

= 14000000 - 8000000

= 6000000

As sale value of Land is given after tax so it is included directly in cash flows after tax.

Calculation of Payback period

Year Net cash flow Cumulative cash flow
1 229140000 229140000
2 240525000 469665000
3 249063750 718728750
4 255467813 974196563
5 260270859 1234467422
6 253292578 1487760000

Total cost of project is 285000000 that will be recovered in year 2, so the payback period will be 2 years.

Profitability Index = Present value of future cash flows / Initial Investment

= 1111221998 / 285000000

= 3.90

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