Stock-based Compensation (Tables)


	Three Months Ended				Six Months Ended
	January 31, 2021		January 26, 2020		January 31, 2021		January 26, 2020
Total pre-tax stock-based compensation expense	$	18	$	18	$	34	$	31
Tax-related benefits	$	3	$	3	$	6	$	6

Total pre-tax stock-based compensation expense and tax-related benefits recognized in Earnings from discontinued operations were as follows:


	January 26, 2020
	Three Months Ended		Six Months Ended
Total pre-tax stock-based compensation expense	$	1	$	2
Tax-related benefits	$	—	$	—

The following table summarizes stock option activity as of January 31, 2021:


	Options	Weighted- Average Exercise Price		Weighted- Average Remaining Contractual Life	Aggregate Intrinsic Value
	(Options in thousands)			(In years)
Outstanding at August 2, 2020	1,423	$	45.42
Granted	—	$	—
Exercised	—	$	—
Terminated	—	$	—
Outstanding at January 31, 2021	1,423	$	45.42	6.4	$	7
Exercisable at January 31, 2021	1,130	$	48.00	6.1	$	3

The following table summarizes time-lapse restricted stock units, EPS performance restricted stock units and FCF performance restricted stock units as of January 31, 2021:


	Units	Weighted-Average Grant-Date Fair Value
	(Restricted stock units in thousands)
Nonvested at August 2, 2020	1,866	$	43.18
Granted	876	$	48.43
Vested	(731)	$	42.73
Forfeited	(94)	$	46.75
Nonvested at January 31, 2021	1,917	$	45.58

The following table summarizes TSR performance restricted stock units as of January 31, 2021:


	Units	Weighted-Average Grant-Date Fair Value
	(Restricted stock units in thousands)
Nonvested at August 2, 2020	1,254	$	47.83
Granted	521	$	54.93
Vested	(236)	$	39.39
Forfeited	(273)	$	41.57
Nonvested at January 31, 2021	1,266	$	53.67

Assumptions used in the Monte Carlo simulation were as follows:


	2021	2020
Risk-free interest rate	0.15%	1.48%
Expected dividend yield	2.85%	2.95%
Expected volatility	29.99%	27.01%
Expected term	3 years	3 years