442 CHAPTER 12 Corporate Valuation, Value-Based Management, and Corporate Governance
nonoperating assets. Here is the equation for the value of operations, which is the
firm’s value as a going concern:
Value of operations VopPV of expected future free cash flow
(12-1)
MagnaVision’s cost of capital is 10.84 percent. To find its value of operations as a
going concern, we use an approach similar to the nonconstant dividend growth model,
proceeding as follows:
- Assume that the firm will experience nonconstant growth for N years, after which
it will grow at some constant rate. - Calculate the expected free cash flow for each of the N nonconstant growth years.
- Recognize that after Year N growth will be constant, so we can use the constant
growth formula to find the firm’s value at Year N. This is the sum of the PVs for
year N 1 and all subsequent years, discounted back to Year N. - Find the PV of the free cash flows for each of the N nonconstant growth years.
Also, find the PV of the firm’s value at Year N.
a
t 1
FCFt
(1WACC)t
.
FCF 1
(1WACC)^1
FCF 2
(1WACC)^2
FCF
(1WACC)
TABLE 12-2 MagnaVision Inc.: Balance Sheets (Millions of Dollars)
Actual Projected
2002 2003 2004 2005 2006
Assets
Cash $ 17.0 $ 20.0 $ 22.0 $ 23.0 $ 24.0
Marketable securitiesa 63.0 70.0 80.0 84.0 88.0
Accounts receivable 85.0 100.0 110.0 116.0 121.0
Inventories 170.0 200.0 220.0 231.0 243.0
Total current assets $ 335.0 $ 390.0 $ 432.0 $ 454.0 $ 476.0
Net plant and equipment 279.0 310.0 341.0 358.0 376.0
Total assets $ 614.0 $ 700.0 $ 773.0 $ 812.0 $ 852.0
Liabilities and Equity
Accounts payable $ 17.0 $ 20.0 $ 22.0 $ 23.0 $ 24.0
Notes payable 123.0 140.0 160.0 168.0 176.0
Accruals 43.0 50.0 55.0 58.0 61.0
Total current liabilities $ 183.0 $ 210.0 $ 237.0 $ 249.0 $ 261.0
Long-term bonds $ 124.0 $ 140.0 $ 160.0 $ 168.0 $ 176.0
Preferred stock 62.0 70.0 80.0 84.0 88.0
Common stockb 200.0 200.0 200.0 200.0 200.0
Retained earnings 45.0 80.0 96.0 111.0 127.0
Common equity $ 245.0 $ 280.0 $ 296.0 $ 311.0 $ 327.0
Total liabilities and equity $ 614.0 $ 700.0 $ 773.0 $ 812.0 $ 852.0
Notes:
aAll assets except marketable securities are operating assets required to support sales. The marketable securities are financial assets not required in op-
erations.
bPar plus paid-in capital.