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SHARE-BASED COMPENSATION PLANS (Tables)
12 Months Ended
Dec. 31, 2018
SHARE-BASED COMPENSATION PLANS  
Schedule of share-based compensation expense recognized in Consolidated Statements of Income
Years Ended December 31,
(in millions)201820172016
Share-based compensation expense - pre-tax(a)$337$353$237
Share-based compensation expense - after tax(b)266229154

(a) We recognized $48 million, $141 million and $105 million for immediately vested stock-settled awards issued to retirement eligible employees in 2018, 2017 and 2016, on their respective grant dates. It is our policy to reverse compensation expense for forfeited awards when they occur.

(b) We also recognized $9 million of excess tax benefits due to share settlements occurring in 2018.

Schedule of assumptions used to estimate the fair value of PSUs based on AIG's TSR
20172016
Expected dividend yield(a)2.37%2.17%
Expected volatility(b)17.58%24.55%
Risk-free interest rate(c)2.00%1.30%

(a) The dividend yield is the projected annualized AIG dividend yield estimated by Bloomberg Professional service as of the valuation date.

(b) The expected volatility is based on the historical volatility of the stock price for the 360 most recent trading days prior to the valuation date estimated by Bloomberg Professional service.

(c) The risk-free interest rate is the continuously compounded interest rate for the term between the valuation date and the end of the performance period that is assumed to be constant and equal to the interpolated value between the closest data points on the U.S. dollar LIBOR-swap curve as of the valuation date

Summary of outstanding share-settled LTI awards
Weighted Average
As of or for the YearNumber of Units Grant-Date Fair Value
Ended December 31, 2018(b)2018 LTI2017 LTI2016 LTI2015 LTI2014 LTI2018 LTI2017 LTI2016 LTI2015 LTI2014 LTI
Unvested, beginning of year-2,173,1151,467,7451,291,788823,311$-$62.78$60.90$60.02$48.81
Granted4,640,72243,792---55.4758.52---
Vested(c)(1,205,653)(530,388)(728,576)(266,184)(793,955)55.8563.6760.2857.8748.81
Forfeited(113,041)(106,524)(98,509)(753,272)(29,356)55.9263.1362.1354.4648.84
Unvested, end of year(d)3,322,0281,579,995640,660272,332-$55.32$62.32$61.55$60.51$-

(a) Excludes stock options and DSUs, which are discussed under Stock Options and Non-Employee Plan, respectively.

(b) Except for the 2014 LTI and 2015 LTI awards, PSUs represent target amount granted, and does not reflect potential increases or decreases that could result from the final outcome of the performance goals for the respective awards, which is determined in the quarter after the applicable performance period ends.

(c) Also reflects units that vest as a result of an accelerated vesting event that occurred prior to the specified vesting date.

(d) At December 31, 2018, the total unrecognized compensation cost for outstanding RSUs and PSUs was $215 million and the weighted-average and expected period of years over which that cost is expected to be recognized are 0.96 year and 2 years.

Schedule of weighted-average assumptions

The following weighted-average assumptions were used for stock options granted:

20182017
Expected annual dividend yield(a)2.32%2.03%
Expected volatility(b)23.29%20.96%
Risk-free interest rate(c)2.83%1.94%
Expected term(d)4.50 - 6.47years4.5years

(a) The dividend yield is the projected annualized AIG dividend yield estimated by Bloomberg Professional service as of the valuation date.

(b) The expected volatility is based on the implied volatility of 24 months stock option estimated by the Bloomberg Professional service as of the valuation date.

(c) The risk-free interest rate is the continuously compounded interest rate for the term between the valuation date and the expiration date that is assumed to be constant and equal to the interpolated value between the closet data points on the U.S. dollar LIBOR-swap curve as of the valuation date.

(d) The contractual terms are 7 and 10 years.

Schedule of stock option activity

The following table provides a rollforward of stock option activity:

Weighted Average Aggregate
As of or for the YearWeighted Average RemainingIntrinsic Values
Ended December 31, 2018UnitsExercise PriceContractual Life(in millions)
Outstanding, beginning of year2,500,000$62.906.48
Granted2,752,09855.38
Exercised--
Forfeited or expired(46,299)55.94
Outstanding, end of year5,205,799$58.997.38$-
Exercisable, end of year486,229$59.904.07$-