
P1: ABC/ABC P2:c/d QC:e/f T1:g
c03 JWBT063-Rosenbaum March 25, 2009 9:25 Printer Name: Hamilton
Discounted Cash Flow Analysis
137
Exhibit 3.31) and those cells determining whether each option tranche is in-the-
money (see shaded area “B” in Exhibit 3.31). At an assumed enterprise value of
$1,000 million, implied equity value of $775 million, 50 million basic shares out-
standing, and the options data shown in Exhibit 3.31, we calculate an implied share
price of $15.00.
EXHIBIT 3.31
Calculation of Implied Share Price
($ in millions, except per share data; shares in millions)
Enterprise Value $1,000.0
Less: Total Debt (250.0)
Less: Preferred Securities -
Less: Noncontrolling Interest (25.0)
Plus: Cash and Cash Equivalents 50.0
$775.0 Implied Equity Value
Number of Exercise In-the-Money
Tranche
Shares
Price Shares
Proceeds
Options 1 1.250 $2.50 1.250 3.1
Options 2 1.000 7.50 1.000 7.5
Options 3 0.750 12.50 0.750 9.4
Options 4 0.500 17.50 - -
Options 5 0.250
25.00
-
-
Total 3.750 000.3 $20.0
Basic Shares Outstanding 50.000
3.000Plus: Shares from In-the-Money Options
(1.333)Less: Shares Repurchased
1.667 Net New Shares from Options
-Plus: Shares from Convertible Securities
51.667 Fully Diluted Shares Outstanding
$15.00 Implied Share Price
Calculation of Implied Share Price
Options/Warrants
= IF (Exercise Price < Implied Share Price, then
display Number of Shares, otherwise display 0)
= IF ($2.50 < $15.00, 1.250, 0)
= Implied Equity Value / Fully Diluted Shares
= $775.0 million / 51.667
= - Total Options Proceeds / Implied Share Price
= ($20.0) million / $15.00
In-the-money options are dependent on
implied share price...
Implied share price is dependent on in-
the-money options...
Shares repurchased are dependent on
implied share price...
= Exercise Price x In-the-Money Shares
= $12.50 x 0.750
Perform Sensitivity Analysis
The DCF incorporates numerous assumptions, each of which can have a sizeable
impact on valuation. As a result, the DCF output is viewed in terms of a valuation
range based on a series of key input assumptions, rather than as a single value.
The exercise of deriving a valuation range by varying key inputs is called sensitivity
analysis.
Sensitivity analysis is a testament to the notion that valuation is as much an
art as a science. Key valuation drivers such as WACC, exit multiple, and perpetuity
growth rate are the most commonly sensitized inputs in a DCF. The banker may also
perform additional sensitivity analysis on key financial performance drivers, such as
sales growth rates and profit margins (e.g., EBITDA or EBIT). Valuation outputs
produced by sensitivity analysis are typically displayed in a data table, such as that
shown in Exhibit 3.32.
The center shaded portion of the sensitivity table in Exhibit 3.32 displays an
enterprise value range of $926 million to $1,077 million assuming a WACC range
of 9.5% to 10.5% and an exit multiple range of 6.5x to 7.5x. As the exit multiple
increases, enterprise value increases accordingly; conversely, as the discount rate
increases, enterprise value decreases.