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SHARE-BASED COMPENSATION PLANS
6 Months Ended
Mar. 31, 2020
Share-based Payment Arrangement [Abstract]  
SHARE-BASED COMPENSATION PLANS SHARE-BASED COMPENSATION PLANSWe issue share-based awards under the following programs: our Cabot Microelectronics Corporation 2012 Omnibus Incentive Plan, as amended effective March 7, 2017 (OIP); our Cabot Microelectronics Corporation 2007 Employee Stock Purchase Plan, as Amended and Restated January 1, 2010 (ESPP); and, pursuant to the OIP, our Directors' Deferred Compensation Plan, as amended September 23, 2008 (DDCP), and our 2001 Executive Officer Deposit Share Program (DSP).  In March 2017, our stockholders approved the material terms of performance-based awards under the OIP for purposes of complying with Section 162(m) of the Internal Revenue Code of 1986, as amended.  For additional information regarding these programs, refer to Note 16 of "Notes to the Consolidated Financial Statements" included in Item 8 of Part II of our Annual Report on Form 10-K for the fiscal year ended September 30, 2019. 
We record share-based compensation expense for all share-based awards, including stock option grants, and restricted stock, restricted stock unit and performance share unit ("PSU") awards, and employee stock purchase plan purchases.  We calculate share-based compensation expense using the straight-line approach based on awards ultimately expected to vest, which requires the use of an estimated forfeiture rate.  Our estimated forfeiture rate is primarily based on historical experience, but may be revised in future periods if actual forfeitures differ from the estimate.  We use the Black-Scholes option-pricing model to estimate the grant date fair value of our stock options and employee stock purchase plan purchases.  This model requires the input of highly subjective assumptions, including the price volatility of the underlying stock, the expected term of our stock options, expected dividend yield and the risk-free interest rate.  We estimate the expected volatility of our stock options based on a combination of our stock's historical volatility and the implied volatilities from actively-traded options on our stock.  We calculate the expected term of our stock options using historical stock option exercise data, and for stock option grants made prior to December 2017, we have added a slight premium to this expected term for employees who meet the definition of retirement-eligible pursuant to their stock option grants during the contractual term of the grant.  As of December 2017, the provisions of stock option grants and restricted stock unit awards stated that, except in certain circumstances including termination for cause, once an employee meets the retirement eligibility requirements, any remaining unvested share-based awards will continue to vest regardless of termination of service. Consequently, the requisite service period for the award is satisfied upon retirement eligibility. Therefore, we record the total share-based compensation expense upon award for those employees who have met the retirement eligibility at the grant date. The expected dividend yield represents our annualized dividend in dollars divided by the stock price on the date of grant.  The risk-free interest rate is derived from the U.S. Treasury yield curve in effect at the time of grant.
The PSUs that have been awarded may be subject to downward or upward adjustment depending on the total shareholder return achieved by the Company during the particular performance period related to the PSUs, relative to the total shareholder return of an established market index.  We use a third-party service provider to estimate the fair value of the PSUs at grant date by using a Monte Carlo simulation model. This model simulates the stock price movements of the Company and Index constituents using certain assumptions, including the stock price of the Company and index constituents, the risk-free interest rate and stock price volatility.  Subsequent to the Acquisition, the performance metrics of the PSUs awarded in December 2017 were modified to reflect the performance metrics expected due to the Acquisition for the post-Acquisition time period subject to the PSUs.
KMG awards granted subsequent to the entry into the definitive agreement for the Acquisition, but prior to the Acquisition Date, were converted to our restricted stock units (“Replacement Awards”), with vesting in three equal installments on the first three anniversaries of the original award date. If the recipient is terminated without cause or resigns with good reason during the 18 months following the Acquisition Date, the Replacement Award will vest as of such termination date in a number of shares equal to 150% of the Replacement Award.
The share-based compensation expense of $3,253 related to the Replacement Awards, including accelerated vesting, for the first quarter of fiscal 2019 is included in the table below. The expense for the second quarter of fiscal 2019 and the first and second quarters of fiscal 2020 included in the table below is not material.
Share-based compensation expense for the three and six months ended March 31, 2020 and 2019, was as follows:
Three Months Ended March 31,Six Months Ended March 31,
2020201920202019
Cost of sales$617  $574  $1,529  $1,629  
Research, development and technical403  442  1,207  1,343  
Selling, general and administrative3,214  2,522  6,261  8,736  
Total share-based compensation expense4,234  3,538  8,997  11,708  
Tax benefit(833) (761) (1,771) (2,452) 
Total share-based compensation expense, net of tax$3,401  $2,777  $7,226  $9,256  

For additional information regarding the estimation of fair value, refer to Note 16 of "Notes to the Consolidated Financial Statements" included in Item 8 of Part II of our Annual Report on Form 10-K for the fiscal year ended September 30, 2019.