Dollinger index

(Kiana) #1
Securing Investors and Structuring the Deal 317

total return in case the venture turns out to be very profitable. In this case, the warrant
is sometimes called an equity kicker: It represents equity that is off the balance sheet if
the warrant is exercised,.
A callable warrant enables entrepreneurs to pay off creditors, thereby retiring the debt
and recovering the equity according to a fixed schedule. The price of the warrant can be
calculated for each period outstanding. Table 8.7 provides an example of the calculation
of the price of a callable warrant.^28
If the investor has a subordinated debenture with a face value of $1 million, a coupon
of 10 percent, and a warrant that guarantees a total return of 15 percent, calculating the
call price (or value) of the warrant requires two preliminary steps. First, the analyst must
determine the present value and cumulative present values of the interest payments. In
Table 8.7 the third column shows the present value of the cash flow from the interest
payments, discounted at 15 percent. Next, the analyst must calculate the future payment
that makes the entire cumulative present value equal to zero at the guaranteed (in this

TABLE 8.6 The Option to Abandon the Project

Rule I: VC Invest in Both Years
Good scenario
Bad scenario
Expected annual cash
Terminal value
Expected cash inflow
Investment
Expected net cash

PV@
40%

$1,933
102
1,018
186
1,204
(857)
$ 346

5

$ 950
50
500
1,000
1,500

$1,500

4

$950
50
500

500

$500

3

$950
50
500

500

$500

2

$950
50
500

500

$500

1

$950
50
500

500
(500)
$ 0

0

($500)
($500)

Bad scenario
Annual cash flow
Terminal value
Investment
Net cash flow
Expected (or average) value of scenarios
Expected net cash


Rule II: VC Has Option to Abandon in Year 1
Good scenario
Annual cash flow
Terminal value
Investment
Net cash flow

PV@
0 1 2 3 4 5 40%

($500)
(500)

(500)
(500)

($500)

$950

(500)
450

0

0

$225

$1,933
186
(857)
1,262

0
139
500
(361)

$ 451

$ 950
1,000

1,950

0
750

750

$1,225

$950

950

0

0

$475

$950

950

0

0

$475

$950

950

0

0

$475

Expected value of option to abandon (Rule I minus Rule II): $105


SOURCE: From “Aspects of Financial Contracting,” Journal of Applied Corporate Finance, 1988: 25–36. Reprinted by permission
of Stern Stewart Co., New York, NY.
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