Question

The MoMi Corporation’s income before interest, depreciation and taxes, was $2.7 million in the year just ended, and it expects that this will grow by 5% per year forever. To make this happen, the firm will have to invest an amount equal to 15% of pre tax cash flow each year. The tax rate is 30%. Depreciation was $330,000 in the year just ended and is expected to grow at the same rate as the operating cash flow. The appropriate market capitalization rate for the unlevered cash flow is 12% per year, and the firm currently has debt of $5 million outstanding. Use the free cash flow approach to calculate the value of the firm and the firm’s equity. (Enter your answer in dollars not in millions.)

Answer 1

Answer:

1. The value of the firm is $23,760,000

2. The value of the equity is $18.76m

Explanation:

In order to calculate the value of the firm we would have to use the following formula:

Value of firm = FCF1 / (r - g) = FCF0 x (1 + g) / (r - g)

Operating Cash Flows (OCF) = (EBITDA - Depreciation) x (1 - tax) + Depreciation

= (2,700,000 - 330,000) x (1 - 30%) + 330,000

= $1,989,000

Free Cash Flow (FCF) = OCF - Investment

We know that investment = 15% of EBITDA = 15% x 2,700,000 = 405,000

Current FCF = 1,989,000 - 405,000 = 1,584,000

Therefore, Value of the firm = 1,584,000 x (1 + 5%) / (12% - 5%) = $23,760,000

To calculate the value of equity we would have to use the following formula:

Value of equity = Value of Firm - Value of Debt = 23.76 - 5 = $18.76m

Answer 2

Answer:

Value of the firm                          $ 14550000.

Value of the firm's equity            $ 11550000.

Explanation:

Cash flow from operations = $ 1785000 (1700000 + 5 % of 1700000).

Depreciation = $ 241500. (230000 + 5 % of 230000).

Taxable income = $ 1543500 (1785000 - 241500)

Net income (after tax) = 1543500 - 30 % of 1543500 = $ 1080450.

Cash flow from operations (after tax) = 1080450 + 241500 (Depreciation, being non cash expense). = $ 1321950.

Free cash flow available = Cash flow from operations (after tax) - Income from investment.

= 1321950 - (1700000 * 17 % * 1.05)

= 1321950 - 303450.

= $ 1018500.

Value of the firm = Free cash flow available / (Capitalization rate - Growth rate)

= 1018500 / (0.12 - 0.05)

= 1018500 / 0.07

= $ 14550000.

Value of the firm's equity = Total value of firm - Value of debt of firm

= 14550000 - 3000000

= $ 11550000.

Conclusion :-

Value of the firm                          $ 14550000.

Value of the firm's equity            $ 11550000.