For a discussion of our share-based compensation plans, please see Note 14 in our Annual Report on Form 10-K for the fiscal year ended February 2, 2019.

The following table summarizes the activity of time-based and performance-based awards (collectively, "DSUs") for the six months ended August 3, 2019:

(1)	Includes 137,694 shares relinquished for tax payments related to vested DSUs for the six months ended August 3, 2019.

As of August 3, 2019, we have unrecognized compensation expense related to non-vested DSUs of $9.5 million, which is expected to be recognized over a weighted-average period of 1.3 years.

Stock Options and Stock Appreciation Rights (“SARs”)

The following table summarizes the activity of stock options for the six months ended August 3, 2019:




		Weighted-
	Number of	Average
	Shares	Exercise Price
Outstanding at February 2, 2019	1,252,072	$	23.64
Granted	3,050,974		7.61
Exercised	—		—
Forfeited	(171,812)		11.02
Expired	(43,268)		28.28
Outstanding at August 3, 2019	4,087,966	$	12.16
Exercisable at August 3, 2019	912,456	$	24.91

During the first quarter of 2019, we granted SARs, which vest ratably over a period of three years, and will be settled in stock. Each vested SAR entitles the holder to the right of the difference between the value of our common stock on the date of exercise and the common stock price on the date of grant. We use the Black-Scholes option pricing model to estimate the fair value of SARs on the date of grant.

The following table summarizes the activity of SARs for the six months ended August 3, 2019:



		Weighted-
	Number of	Average
	Shares	Exercise Price
Outstanding at February 2, 2019	—	$	—
Granted	414,476		7.62
Exercised	—		—
Forfeited	—		—
Expired	—		—
Outstanding at August 3, 2019	414,476	$	7.62
Exercisable at August 3, 2019	—	$	—

The weighted-average grant date fair value of the 3,050,974 stock options and 414,476 SARs granted during the six months ended August 3, 2019 was $3.00 and $3.01 per share, respectively. The following table summarizes the weighted-average assumptions used to fair value the stock options and SARs at the date of grant using the Black-Scholes option model for the six months ended August 3, 2019:


		For the Six Months Ended
		August 3,
		2019
Risk-free interest rate		2.39%
Expected lives		5.0 years
Dividend yield		4.34%
Expected volatility		62.32%

As of August 3, 2019, we have unrecognized compensation expense related to non-vested stock options and SARs of $10.6 million, which is expected to be recognized over a weighted-average period of 1.7 years.

Cash Settled Awards

We have granted stock-based awards to certain employees, which vest over a period of three years, and will be settled in cash ("cash settled awards"). The fair value of the cash settled awards at each reporting period is based on the price of our common stock. The fair value of the cash settled awards will be remeasured at each reporting period until the awards are settled. Cash settled awards are classified as liabilities in the condensed consolidated balance sheets. At August 3, 2019, the liability associated with the cash settled awards was $1.3 million with $1.2 million recorded in accrued expenses and other current liabilities and $0.1 million recorded in other liabilities in the condensed consolidated balance sheets.

The following table summarizes the activity of cash settled awards, based on their initial grant date values, for the six months ended August 3, 2019 (in thousands):


	Cash Settled Awards
Non-Vested at February 2, 2019	$	5,072
Granted		4,255
Vested		(2,350)
Forfeited		(514)
Non-Vested at August 3, 2019	$	6,463

As of August 3, 2019, we have unrecognized compensation expense related to non-vested cash settled awards of $3.0 million, which is expected to be recognized over a weighted-average period of 0.8 years.

Share-Based Compensation Expense

Share-based compensation expense, including cash settled awards, recognized for the three and six months ended August 3, 2019 was $2.4 million and $4.3 million, respectively. Share-based compensation expense, including cash settled awards, recognized for the three and six months ended August 4, 2018 was $5.5 million and $11.9 million, respectively.