INCOME PER COMMON SHARE

Reconciliations of the numerators and denominators used in the computations of basic and diluted income per common share were as follows, in millions:



	Three Months Ended September 30,				Nine Months Ended September 30,
	2018		2017		2018		2017
Numerator (basic and diluted):
Net income	$	180	$	152	$	540	$	453
Less: Allocation to unvested restricted stock awards	1		1		5		4
Net income available to common shareholders	$	179	$	151	$	535	$	449

Denominator:
Basic common shares (based upon weighted average)	304		313		307		315
Add: Stock option dilution	2		3		2		4
Diluted common shares	306		316		309		319

For the three-month and nine-month periods ended September 30, 2018 and 2017, we allocated dividends and undistributed earnings to the unvested restricted stock awards.

Additionally, 667,586 and 626,734 common shares for the three-month and nine-month periods ended September 30, 2018, respectively, and 397,000 and 339,000 common shares for the three-month and nine-month periods ended September 30, 2017, respectively, related to stock options were excluded from the computation of diluted income per common share due to their antidilutive effect.

In May 2017, our Board of Directors authorized the repurchase, for retirement, of up to $1.5 billion of shares of our common stock in open-market transactions or otherwise, replacing the previous Board of Directors authorization established in 2014. In the first nine months of 2018, we repurchased and retired 9.0 million shares of our common stock (including 0.6 million shares to offset the dilutive impact of long-term stock awards granted in the first nine months of the year). At September 30, 2018, we had $936 million remaining under the 2017 authorization.

On the basis of amounts paid (declared), cash dividends per common share were $0.105 ($0.120) and $0.315 ($0.330) for the three-month and nine-month periods ended September 30, 2018, respectively, and $0.100 ($0.105) and $0.300 ($0.305) for the three-month and nine-month periods ended September 30, 2017, respectively.