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Expected
early exercise
B16 Employees
often exercise share options early, for a variety of reasons.
For example, employee share options are typically
non-transferable. This often causes employees to exercise
their share options early, because that is the only way for
the employees to liquidate their position. Also, employees
who cease employment are usually required to exercise any
vested options within a short period of time, otherwise the
share options are forfeited. This factor also causes the
early exercise of employee share options. Other factors
causing early exercise are risk aversion and lack of wealth
diversification.
B17 The means by
which the effects of expected early exercise are taken into
account depends upon the type of option pricing model
applied. For example, expected early exercise could be taken
into account by using an estimate of the option’s expected
life (which, for an employee share option, is the period of
time from grant date to the date on which the option is
expected to be exercised) as an input into an option pricing
model (eg the Black-Scholes-Merton formula). Alternatively,
expected early exercise could be modelled in a binomial or
similar option pricing model that uses contractual life as
an input.
B18 Factors to
consider in estimating early exercise include:
(a) the length
of the vesting period, because the share option
typically cannot be exercised until the end of the
vesting period. Hence, determining the valuation
implications of expected early exercise is based on the
assumption that the options will vest. The implications
of vesting conditions are discussed in paragraphs 19–21.
(b) the
average length of time similar options have remained
outstanding in the past.
(c) the price
of the underlying shares. Experience may indicate that
the employees tend to exercise options when the share
price reaches a specified level above the exercise price.
(d) the
employee’s level within the organisation. For example,
experience might indicate that higher-level employees
tend to exercise options later than lower-level
employees (discussed further in paragraph B21).
(e) expected
volatility of the underlying shares. On average,
employees might tend to exercise options on highly
volatile shares earlier than on shares with low
volatility.
B19 As noted in
paragraph B17, the effects of early exercise could be taken
into account by using an estimate of the option’s expected
life as an input into an option pricing model. When
estimating the expected life of share options granted to a
group of employees, the entity could base that estimate on
an appropriately weighted average expected life for the
entire employee group or on appropriately weighted average
lives for subgroups of employees within the group, based on
more detailed data about employees’ exercise behaviour (discussed
further below).
B20 Separating an
option grant into groups for employees with relatively
homogeneous exercise behaviour is likely to be important.
Option value is not a linear function of option term; value
increases at a decreasing rate as the term lengthens. For
example, if all other assumptions are equal, although a
two-year option is worth more than a one-year option, it is
not worth twice as much. That means that calculating
estimated option value on the basis of a single weighted
average life that includes widely differing individual lives
would overstate the total fair value of the share options
granted. Separating options granted into several groups,
each of which has a relatively narrow range of lives
included in its weighted average life, reduces that
overstatement.
B21 Similar
considerations apply when using a binomial or similar model.
For example, the experience of an entity that grants options
broadly to all levels of employees might indicate that
top-level executives tend to hold their options longer than
middle-management employees hold theirs and that lower-level
employees tend to exercise their options earlier than any
other group. In addition, employees who are encouraged or
required to hold a minimum amount of their employer’s equity
instruments, including options, might on average exercise
options later than employees not subject to that provision.
In those situations, separating options by groups of
recipients with relatively homogeneous exercise behaviour
will result in a more accurate estimate of the total fair
value of the share options granted.
Expected
volatility
B22 Expected
volatility is a measure of the amount by which a price is
expected to fluctuate during a period. The measure of
volatility used in option pricing models is the annualised
standard deviation of the continuously compounded rates of
return on the share over a period of time. Volatility is
typically expressed in annualised terms that are comparable
regardless of the time period used in the calculation, for
example, daily, weekly or monthly price observations.
B23 The rate of
return (which may be positive or negative) on a share for a
period measures how much a shareholder has benefited from
dividends and appreciation (or depreciation) of the share
price.
B24 The expected
annualised volatility of a share is the range within which
the continuously compounded annual rate of return is
expected to fall approximately two-thirds of the time. For
example, to say that a share with an expected continuously
compounded rate of return of 12 per cent has a volatility of
30 per cent means that the probability that the rate of
return on the share for one year will be between – 18 per
cent (12 % – 30 %) and 42 per cent (12 % + 30 %) is
approximately two-thirds. If the share price is CU100 at the
beginning of the year and no dividends are paid, the yearend
share price would be expected to be between CU83,53 (CU100 ×
e– 0,18) and CU152,20 (CU100 × e0,42) approximately
two-thirds of the time.
B25 Factors to
consider in estimating expected volatility include:
(a) implied
volatility from traded share options on the entity’s
shares, or other traded instruments of the entity that
include option features (such as convertible debt), if
any.
(b) the
historical volatility of the share price over the most
recent period that is generally commensurate with the
expected term of the option (taking into account the
remaining contractual life of the option and the effects
of expected early exercise).
(c) the length
of time an entity’s shares have been publicly traded. A
newly listed entity might have a high historical
volatility, compared with similar entities that have
been listed longer. Further guidance for newly listed
entities is given below.
(d) the
tendency of volatility to revert to its mean, ie its
long-term average level, and other factors indicating
that expected future volatility might differ from past
volatility. For example, if an entity’s share price was
extraordinarily
volatile for some identifiable period of time because of
a failed takeover bid or a major restructuring, that
period could be disregarded in computing historical
average annual volatility.
(e)
appropriate and regular intervals for price observations.
The price observations should be consistent from period
to period. For example, an entity might use the closing
price for each week or the highest price for the week,
but it should not use the closing price for some weeks
and the highest price for other weeks. Also, the price
observations should be expressed in the same currency as
the exercise price.
Newly listed
entities
B26 As noted in
paragraph B25, an entity should consider historical
volatility of the share price over the most recent period
that is generally commensurate with the expected option
term. If a newly listed entity does not have sufficient
information on historical volatility, it should nevertheless
compute historical volatility for the longest period for
which trading activity is available. It could also consider
the historical volatility of similar entities following a
comparable period in their lives. For example, an entity
that has been listed for only one year and grants options
with an average expected life of five years might consider
the pattern and level of historical volatility of entities
in the same industry for the first six years in which the
shares of those entities were publicly traded.
Unlisted
entities
B27 An unlisted
entity will not have historical information to consider when
estimating expected volatility. Some factors to consider
instead are set out below.
B28 In some cases,
an unlisted entity that regularly issues options or shares
to employees (or other parties) might have set up an
internal market for its shares. The volatility of those
share prices could be considered when estimating expected
volatility.
B29 Alternatively,
the entity could consider the historical or implied
volatility of similar listed entities, for which share price
or option price information is available, to use when
estimating expected volatility. This would be appropriate if
the entity has based the value of its shares on the share
prices of similar listed entities.
B30 If the entity
has not based its estimate of the value of its shares on the
share prices of similar listed entities, and has instead
used another valuation methodology to value its shares, the
entity could derive an estimate of expected volatility
consistent with that valuation methodology. For example, the
entity might value its shares on a net asset or earnings
basis. It could consider the expected volatility of those
net asset values or earnings.
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