under the terms of the ansys , inc . long-term incentive plan , in the first quarter of 2012 , 2011 and 2010 , the company granted 100000 , 92500 and 80500 performance-based restricted stock units , respectively . vesting of the full award or a portion thereof is based on the company 2019s performance as measured by total shareholder return relative to the median percentage appreciation of the nasdaq composite index over a specified measurement period , subject to each participant 2019s continued employment with the company through the conclusion of the measurement period . the measurement period for the restricted stock units granted pursuant to the long-term incentive plan is a three-year period beginning january 1 of the year of the grant . each restricted stock unit relates to one share of the company 2019s common stock . the value of each restricted stock unit granted in 2012 , 2011 and 2010 was estimated on the grant date to be $ 33.16 , $ 32.05 and $ 25.00 , respectively . the estimate of the grant-date value of the restricted stock units was made using a monte carlo simulation model . the determination of the fair value of the awards was affected by the grant date and a number of variables , each of which has been identified in the chart below . share-based compensation expense based on the fair value of the award is being recorded from the grant date through the conclusion of the three-year measurement period . on december 31 , 2012 , employees earned 76500 restricted stock units , which will be issued in the first quarter of 2013 . total compensation expense associated with the awards recorded for the years ended december 31 , 2012 , 2011 and 2010 was $ 2.6 million , $ 1.6 million and $ 590000 , respectively . total compensation expense associated with the awards granted for the years ending december 31 , 2013 and 2014 is expected to be $ 2.2 million and $ 1.2 million , respectively. .

year ended december 31 , 2012: risk-free interest rate: -0.16
expected dividend yield: 0
expected volatility 2014ansys stock price: -28
expected volatility 2014nasdaq composite index: -20
expected term: 2.8
correlation factor: 0.75
year ended december 31 , 2011 and 2010: risk-free interest rate: -1.35
expected dividend yield: 0
expected volatility 2014ansys stock price: -40
expected volatility 2014nasdaq composite index: -25
expected term: 2.9
correlation factor: 0.7

in accordance with the merger agreement , the company granted performance-based restricted stock units to key members of apache management and employees , with a maximum value of $ 13.0 million to be earned annually over a three-fiscal-year period beginning january 1 , 2012 . additional details regarding these awards are provided within note 3 . 14 . stock repurchase program in february 2012 , ansys announced that its board of directors approved an increase to its authorized stock repurchase program . under the company 2019s stock repurchase program , ansys repurchased 1.5 million shares during the year ended december 31 , 2012 at an average price per share of $ 63.65 , for a total cost of $ 95.5 million . during the year ended december 31 , 2011 , the company repurchased 247443 shares at an average price per share of $ 51.34 , for a total cost of $ 12.7 million . as of december 31 , 2012 , 1.5 million shares remained authorized for repurchase under the program . 15 . employee stock purchase plan the company 2019s 1996 employee stock purchase plan ( the 201cpurchase plan 201d ) was adopted by the board of directors on april 19 , 1996 and was subsequently approved by the company 2019s stockholders . the stockholders approved an amendment to the purchase plan on may 6 , 2004 to increase the number of shares available for offerings to 1.6 million shares . the purchase plan was amended and restated in 2007 . the purchase plan is administered by the compensation committee . offerings under the purchase plan commence on each february 1 and august 1 , and have a duration of six months . an employee who owns or is deemed to own shares of stock representing in excess of 5% ( 5 % ) of the combined voting power of all classes of stock of the company may not participate in the purchase plan . during each offering , an eligible employee may purchase shares under the purchase plan by authorizing payroll deductions of up to 10% ( 10 % ) of his or her cash compensation during the offering period . the maximum number of shares that may be purchased by any participating employee during any offering period is limited to 3840 shares ( as adjusted by the compensation committee from time to time ) . unless the employee has previously withdrawn from the offering , his accumulated payroll deductions will be used to purchase common stock on the last business day of the period at a price equal to 90% ( 90 % ) of the fair market value of the common stock on the first or last day of the offering period , whichever is lower . under applicable tax rules , an employee may purchase no more than $ 25000 worth of common stock in any calendar year . at december 31 , 2012 , 1233385 shares of common stock had been issued under the purchase plan , of which 1184082 were issued as of december 31 , 2011 . the total compensation expense recorded under the purchase plan during the years ended december 31 , 2012 , 2011 and 2010 was $ 710000 , $ 650000 and $ 500000 , respectively . table of contents .

Questions:
what is the sum of compensation expense associated with the awards granted for 2013 and 2014?
what is the average per year?

Answers:
3.4
1.7