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Stock option and award plan:
12 Months Ended
Dec. 31, 2017
Stock option and award plan:  
Stock option and award plan:

8. Stock option and award plan:

Incentive award plan

        The Company grants restricted stock and options for common stock under its award plan, as amended (the "Award Plan"). In May 2017, the Company's shareholders approved a 1.2 million share increase to the authorized shares under the Award Plan. Stock options granted under the Award Plan generally vest over a four-year period and have a term of ten years. Grants of shares of restricted stock granted under the Award Plan generally vest over periods ranging from three to four years. Compensation expense for all awards is recognized over the service period. Awards with graded vesting terms that are subject only to service conditions are recognized on a straight-line basis. Certain option and share grants provide for accelerated vesting if there is a change in control, as defined. For grants of restricted stock, when an employee terminates prior to full vesting the employee retains their vested shares and the employees' unvested shares are returned to the plan. For grants of options for common stock, when an employee terminates prior to full vesting, the employee may elect to exercise their vested options for a period of ninety days and any unvested options are returned to the plan. Shares issued to satisfy awards are provided from the Company's authorized shares. In May 2016 the Company granted 73,450 restricted shares under the Award Plan with a grant date fair value of $2.9 million that are subject to certain performance conditions and cliff vesting based upon certain of the Company's operating metrics and will be recognized as equity-based compensation expense on a straight line basis over the service period. In the second quarter of 2017 the Company granted a total of 470,404 shares under the Award Plan to certain of its employees and directors with a grant date fair value of $19.0 million. The grant date fair value will be recognized as equity-based compensation expense on a straight line basis over the respective service periods. The vesting of certain of these shares (24,050) granted to the Company's executives is subject to performance conditions and the vesting of 105,000 shares granted to the Company's CEO are subject to the total shareholder return of the Company's common stock compared to the total shareholder return of the Nasdaq Telecommunications Index.

        The accounting for equity-based compensation expense requires the Company to make estimates and judgments that affect its financial statements. These estimates include the following.

        Expected Dividend Yield—The Company uses an expected dividend yield based upon expected annual dividends and the Company's stock price.

        Expected Volatility—The Company uses its historical volatility for a period commensurate with the expected term of the option.

        Risk-Free Interest Rate—The Company uses the zero coupon US Treasury rate during the quarter having a term that most closely resembles the expected term of the option.

        Expected Term of the Option—The Company estimates the expected life of the option term by analyzing historical stock option exercises.

        Forfeiture Rates—The Company estimates its forfeiture rate based on historical data with further consideration given to the class of employees to whom the options or shares were granted.

        The weighted-average per share grant date fair value of options was $7.06 in 2017, $6.23 in 2016 and $6.29 in 2015. The following assumptions were used for determining the fair value of options granted in the three years ended December 31, 2017:

                                                                                                                                                                                    

 

 

Years Ended
December 31,

 

Black-Scholes Assumptions

 

2017

 

2016

 

2015

 

Dividend yield

 

 

4.1

%

 

3.7

%

 

3.8

%

Expected volatility

 

 

27.1

%

 

30.8

%

 

32.5

%

Risk-free interest rate

 

 

2.0

%

 

1.4

%

 

1.5

%

Expected life of the option term (in years)

 

 

4.5

 

 

4.6

 

 

4.6

 

        Stock option activity under the Company's Award Plan during the year ended December 31, 2017, was as follows:

                                                                                                                                                                                    

 

 

Number of
Options

 

Weighted-Average
Exercise Price

 

Outstanding at December 31, 2016

 

 

183,322

 

$

32.35

 

Granted

 

 

81,236

 

$

43.93

 

Cancelled and expired

 

 

(35,340

)

$

38.72

 

Exercised—intrinsic value $0.5 million; cash received $1.2 million

 

 

(39,289

)

$

31.12

 

​  

​  

Outstanding at December 31, 2017—$1.8 million intrinsic value and 7.5 years weighted-average remaining contractual term

 

 

189,929

 

$

36.37

 

​  

​  

Exercisable at December 31, 2017—$1.4 million intrinsic value and 6.4 years weighted-average remaining contractual term

 

 

109,084

 

$

32.85

 

​  

​  

Expected to vest—$1.7 million intrinsic value and 7.3 years weighted-average remaining contractual term

 

 

168,762

 

$

35.63

 

​  

​  

​  

​  

        A summary of the Company's non-vested restricted stock awards as of December 31, 2017 and the changes during the year ended December 31, 2017 are as follows:

                                                                                                                                                                                    

Non-vested awards

 

Shares

 

Weighted-Average
Grant Date
Fair Value

 

Non-vested at December 31, 2016

 

 

908,761

 

$

35.94

 

Granted

 

 

499,654

 

$

40.52

 

Vested

 

 

(286,083

)

$

35.35

 

Forfeited

 

 

(10,181

)

$

39.88

 

​  

​  

​  

​  

Non-vested at December 31, 2017

 

 

1,112,151

 

$

38.11

 

​  

​  

​  

​  

​  

​  

​  

​  

        The weighted average per share grant date fair value of restricted stock granted was $40.52 in 2017 (0.5 million shares) $38.87 in 2016 (0.4 million shares) and $33.19 in 2015 (0.1 million shares). The fair value was determined using the quoted market price of the Company's common stock on the date of grant. The fair value of shares of restricted stock vested in 2017, 2016 and 2015 was $12.6 million $12.0 million and $14.3 million, respectively.

        Equity-based compensation expense related to stock options and restricted stock was $13.3 million, $10.7 million, and $11.5 million for 2017, 2016, and 2015, respectively. The income tax benefit related to stock options and restricted stock was $2.5 million, $2.8 million, and $1.8 million for 2017, 2016, and 2015, respectively. The Company capitalized compensation expense related to stock options and restricted stock for 2017, 2016, and 2015 of $1.2 million, $1.2 million and $1.0 million, respectively. As of December 31, 2017, there was $26.4 million of total unrecognized compensation cost related to non-vested equity-based compensation awards. That cost is expected to be recognized over a weighted average period of 2.1 years.