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SHARE-BASED AND OTHER COMPENSATION PLANS (Tables)
12 Months Ended
Dec. 31, 2017
SHARE-BASED AND OTHER COMPENSATION PLANS  
Schedule of share-based compensation expense recognized in Consolidated Statements of Income
Years Ended December 31,
(in millions)201720162015
Share-based compensation expense - pre-tax*$353$237$365
Share-based compensation expense - after tax229154237

* We recognized $141 million, $105 million and $147 million for immediately vested stock-settled awards issued to retirement eligible employees in 2017, 2016 and 2015, respectively. We also recognized $40 million of excess tax benefits due to share settlements occurring in 2017.

Schedule of assumptions used to estimate the fair value of PSUs based on AIG's TSR
201720162015
Expected dividend yield(a)2.37%2.17%1.78%
Expected volatility(b)17.58%24.55%22.71%
Risk-free interest rate(c)2.00%1.30%1.01%

(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, 2017(b)2017 LTI2016 LTI2015 LTI2014 LTI2013 LTI2017 LTI2016 LTI2015 LTI2014 LTI2013 LTI
Unvested, beginning of year-2,588,5982,176,5551,732,6161,581,904$-$51.12$55.52$48.88$38.03
Granted3,996,9782,806-122,378-64.8336.49-48.57-
Vested(c)(971,945)(182,938)(201,256)(957,045)(968,930)64.0960.2959.0448.8937.98
Forfeited(84,987)(138,263)(121,456)(74,638)(36,764)65.2451.1055.0149.0239.14
Unvested, at modification date2,940,0462,270,2031,853,843823,311576,210$65.07$50.37$55.17$48.81$38.04
Cancelled at modification date(1,082,417)(2,951,417)(2,229,873)--67.4752.0054.56--
Granted at modification date1,082,4172,646,8662,094,629--62.1362.1362.13--
Sub-total, net impact of modification-(304,551)(135,244)---55.0156.33--
Vested - post-modification(c)(766,931)(495,222)(424,788)--64.0162.1361.82--
Forfeited - post-modification-(2,685)(2,023)---62.1362.13--
Unvested, end of year(d)2,173,1151,467,7451,291,788823,311576,210$62.78$60.90$60.02$48.81$38.04

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

(b) Except for the 2013 and 2014 LTI award, 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, 2017, the total unrecognized compensation cost for outstanding LTI awards was $237 million and the weighted-average and expected period of years over which that cost is expected to be recognized are 1.02 years and 3 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, 2017UnitsExercise PriceContractual Life(in millions)
Outstanding, beginning of year-$-
Granted2,500,00062.90
Exercised--
Forfeited or expired--
Outstanding, end of year2,500,000$62.906.48$-
Exercisable, end of year-$--$-
Schedule of weighted-average assumptions

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

2017
Expected annual dividend yield(a)2.03%
Expected volatility(b)20.96%
Risk-free interest rate(c)1.94%
Expected term(d)4.5years

(a) The dividend yield is based on the current quarterly dividend payment of $0.32 and the Valuation Date stock price.

(b) The expected volatility is the 1080-day implied volatility as seen in the open marketplace on the Valuation Date.

(c) The risk-free interest rate range is 1.76 percent to 2.14 percent.

(d) The contractual term of the option is 7 years from the grant date.