Question

# Marshall Law firm expects to generate free-cash flows of \$200,000 per year for the next five...

Marshall Law firm expects to generate free-cash flows of \$200,000 per year for the next five years. Beyond that time, free cash flows are expected to grow at a constant rate of 5 % per year forever. If the firm's weighted average cost of capital is 15 %, the market value of the firm's debt is \$500,000, the market value of its preferred stock is \$200,000 and the firm has a half million shares of common stock outstanding, what is the value of its common stock?

Cash flows after 6th year= CF* (1+g)= 200,000 *(1+0.05)= 210000

Terminal cash flow >= year 5= FCF/ (r-g) = 210000 / (0.15-0.05) = 2100,000

Discounting the terminal cash flow to present = 2100000/(1+0.15)^15 = 1044071.144

Present value cash flow for 1 to 5 years is 200000*PVIFA(15%,5 Years) = 200000*(3.352155098) = 670431.0196

Total PV= Present value cash flow for 1 to 5 years + terminal cash flow = 1044071.144+670431.0196 = 1714502.1636

Value of equity = (Total PV- Debt)/ Shares outstading = (1714502.1636- 500000 )/ 500000

Hence value of share = 2.4290043272

SImply VPS of Marshall Law firm = \$2.43