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Share-Based Payments (Tables)
9 Months Ended
Sep. 30, 2019
Share-based Payment Arrangement [Abstract]  
Summary of shares available for grant and stock option activity A summary of awards by type and related activity is detailed below.

 
 
 
Options Outstanding
 
Shares
Available
For Grant
 
Shares
 
Weighted-
Average
Exercise
Price
 
 
 
 
 
 
Stock Options:
 
 
 
 
 
Balance at January 1, 2019
291,000

 

 
$

Exercised

 

 
$

Forfeited

 

 
$

Expired

 

 
$

Stock options granted

 

 
$

 
 
 
 
 
 
Balance at September 30, 2019
291,000

 

 
$



Schedule of activity
 
Liability Awards
 
SAR
 
RSU
 
PSU
 
 
 
 
 
 
Other Share/Unit Awards:
 
 
 
 
 
Balance at January 1, 2019
89,443

 
13,170

 
19,122

Exercised

 
(3,051
)
 
(5,426
)
Forfeited
(1,230
)
 
(307
)
 
(616
)
Granted

 

 

 
 
 
 
 
 
Balance at September 30, 2019
88,213

 
9,812

 
13,080


Summary of information about stock options and SARs outstanding
The following table summarizes information about SARs outstanding at September 30, 2019. There were no options outstanding as of September 30, 2019.

 
 
SARs Outstanding
 
 
Number
Outstanding
 
Weighted-
Average
Remaining
Contractual Life
 
Number
Exercisable
 
 
 
 
 
 
 
Exercise prices:
 
 
 
 
 
$132.56
 
19,568

 
2.2 years
 
19,568

$210.22
 
25,000

 
4.2 years
 
16,400

$216.48
 
11,649

 
6.4 years
 
11,649

$311.16
 
10,162

 
7.4 years
 
6,753

$310.55
 
203

 
7.6 years
 
135

$334.34
 
9,557

 
8.2 years
 
3,180

$303.77
 
12,074

 
9.2 years
 

 
 
 
 
 
 
 
Totals
 
88,213

 
 
 
57,685

 
 

 
 
 
 

Aggregate intrinsic value (in thousands)
$
4,716

 
 
 
$
4,216


Summary of assumptions employed using Black-Scholes option pricing model
In estimating the fair value of the share-based awards outstanding at September 30, 2019 and December 31, 2018, the Company employed the Black-Scholes option pricing model with assumptions detailed below.

 
September 30,
2019
 
December 31,
2018
 
 
 
 
Expected term
2.2 to 9.2 years

 
3.0 to 10.0 years

Expected volatility weighted-average
21.93
%
 
22.14
%
Expected dividend yield
0.13
%
 
0.12
%
Risk-free rate weighted-average
1.70
%
 
2.58
%