The MoMi Corporation’s cash flow from operations before interest and taxes was $1.7 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 17% of pretax cash flow each year. The tax rate is 21%. Depreciation was $230,000 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 unleveraged cash flow is 12% per year, and the firm currently has debt of $3 million outstanding. Use the free cash flow approach to calculate the value of the firm and the firm’s equity.

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.

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