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Stock-based Compensation and Equity Grants
6 Months Ended
Mar. 31, 2021
Share-based Payment Arrangement [Abstract]  
Stock-based Compensation and Equity Grants Stock-based Compensation and Equity Grants
Stock-based compensation expense
 
Options issued under equity incentive plans were designated as either incentive stock or non-statutory stock options. No option is granted with a term of more than 10 years from the date of grant. Exercisability of option awards may depend on achievement of certain performance measures determined by the Compensation Committee of our Board. Shares issued upon option exercise are newly issued shares. As of March 31, 2021, there were 2.0 million shares available for grant.

Stock-based compensation expense, shown in the table below, is recorded in general and administrative expenses included in our Consolidated Statements of Operations:
Three Months EndedSix Months Ended
 RefMarch 31,March 31,
(Amounts in thousands)2021202020212020
DLH employees(a)$270 $95 $612 $211 
Non-employee directors(b)116 87 232 173 
Total stock option expense$386 $182 $844 $384 
Ref (a): Equity grants of restricted stock units were made in accordance with the DLH long-term incentive compensation policy for Named Executive Officers ("NEO") and totaled 147,431 restricted stock units issued and outstanding at March 31, 2021.

Ref (b): Equity grants of restricted stock units were made in accordance with DLH compensation policy for non-employee directors and totaled 63,177 restricted stock units issued and outstanding at March 31, 2021.

Unrecognized stock-based compensation expense (in thousands)
 March 31,
 Ref2021
Unrecognized expense for DLH employees(a)$3,888 
Unrecognized expense for non-employee directors234 
Total unrecognized expense$4,122 

Ref (a): The remaining compensation expense is recognized as the requisite service is rendered. The compensation expense for that portion of awards has been based on the grant-date fair value of those awards as calculated for recognition purposes under applicable guidance. For options that vest based on the Company's common stock achieving and maintaining defined market prices, the Company values the awards with a Monte Carlo binomial model that utilizes various probability factors and other criterion in establishing fair value of the grant. The related compensation expense is recognized over the derived service period determined in the valuation. On a weighted average basis, this expense is expected to be recognized within the next 4.39 years.

Stock option activity for the six months ended March 31, 2021

The aggregate intrinsic value in the table below represents the total pretax intrinsic value (i.e., the difference between the Company’s closing stock price on the last trading day of the period and the exercise price, times the number of shares) that would have been received by the option holders had all option holders exercised their in the money options on those dates. This amount will change based on the fair market value of the Company’s stock.
(in years)
Weighted
WeightedAverage(in thousands)
(in thousands)AverageRemainingAggregate
Number ofExerciseContractualIntrinsic
SharesPriceTermValue
Options outstanding, September 30, 20202,129 $6.14 7.4$6,593 
Exercised(63)$3.62 — — 
Granted245 $10.04 — — 
Cancelled(25)$6.28 — — 
Options outstanding, March 31, 20212,286 $7.03 7.5$11,407 
Stock options shares outstanding, vested, and unvested for the periods ended
(in thousands)
March 31,September 30,
Ref20212020
Vested and exercisable(a)1,362 1,213 
Unvested(b)924 916 
Options outstanding2,286 2,129 

Ref (a): Weighted average exercise price of vested and exercisable shares was $2.75 and $2.25 at March 31, 2021 and September 30, 2020, respectively. Aggregate intrinsic value was approximately $9.8 million and $6.1 million at March 31, 2021 and September 30, 2020, respectively. Weighted average contractual term remaining was 4.6 and 4.6 years at March 31, 2021 and September 30, 2020, respectively.

Ref (b): Certain awards vest upon satisfaction of certain performance criteria.