Contingencies: The Company is involved in various investigations, claims and legal proceedings that arise in the ordinary course of business including alleged infringement of intellectual property rights, commercial disputes, labor and employment matters, tax audits and other matters.
The Company reviews the status of these matters, assesses its financial exposure and records a related accrual if the potential loss from an investigation, claim or legal proceeding is probable and the amount is reasonably estimable.
Significant judgment is involved in the determination of probability and in the determination of whether an exposure is reasonably estimable.
As a result of the uncertainties involved in making these estimates, the Company may have to revise its estimates as facts and circumstances change.
The revision of these estimates could have a material impact on the Company’s financial position and results of operations.
Stock-based Compensation: The Company grants options and other stock awards to employees and directors under the Company’s stock option and grant plan.
Eligible employees can also purchase shares of the Company’s common stock at a discount under the Company’s employee stock purchase plan.
The benefits provided under these plans are share-based payments subject to the provisions of share-based payment accounting guidance.
The Company uses the fair value method to apply the provisions of share-based payment accounting guidance.
Stock-based compensation expense for 2013, 2012 and 2011 was $35.3 million, $32.4 million and $23.1 million, respectively.
As of December 31, 2013, total unrecognized estimated compensation expense related to unvested stock options granted prior to that date was $39.9 million, which is expected to be recognized over a weighted average period of 1.7 years.
The value of each stock-based award was estimated on the date of grant or date of acquisition for options issued in a business combination using the Black-Scholes option pricing model (“Black-Scholes model”).
The determination of the fair value of share-based payment awards using an option pricing model is affected by the Company’s stock price as well as assumptions regarding a number of complex and subjective variables.
These variables include the Company’s expected stock price volatility over the term of the awards, actual and projected employee stock option exercise behaviors, risk-free interest rates and expected dividends.
The table below presents the weighted average input assumptions used and resulting fair values for options granted or issued in business combinations during each respective year.
The stock-based compensation expense for options is recorded ratably over their requisite service period.
The interest rate assumptions were determined by using the five-year U. S.  Treasury Note yield on the date of grant or date of acquisition.
## Table 0 ##
Prior to 2012, the Company issued both non-qualified and incentive stock options; however, the Company no longer issues incentive stock options.
The tax benefits associated with the outstanding incentive stock options are unpredictable, as they are predicated upon an award recipient triggering an event that disqualifies the award and that then results in a tax deduction to the Company.
Share-based payment accounting guidance requires that these tax benefits be recorded at the time of the triggering event.
The triggering events for each option holder are not easily projected.
In order to estimate the tax benefits related to incentive stock options, the Company makes many assumptions and estimates, including the number of incentive stock options that will be exercised during the period by U. S.  employees, the number of incentive stock options that will be disqualified during the period and the fair market value of the Company’s stock price on the exercise dates.
Each of these items is subject to significant uncertainty.
Additionally, a significant portion of the tax benefits related to disqualified incentive stock options is accounted for as an increase to equity (additional paid-in capital) rather than as a reduction in income tax expense.
Although all such benefits continue to be realized through the Company’s tax filings, there is no corresponding benefit to income tax expense.
For example, the Company realized a tax benefit of $6.1 million during the year ended December 31, 2013 related to disqualified dispositions of incentive stock options; however, only $1.8 million of such amount was recorded as a reduction in income tax expense.
## Table 1 ##
(1) Amount represents the revenue not reported during the period as a result of the acquisition accounting adjustment associated with the accounting for deferred revenue in business combinations.
(2) Amount represents $58.1 million of amortization expense associated with intangible assets acquired in business combinations, $34.0 million of stock-based compensation expense, the $1.7 million adjustment to revenue as reflected in (1) above and $0.8 million of transaction expenses related to business combinations.
(3) Amount represents the impact of the adjustments to operating income referred to in (2) above, adjusted for the related income tax impact of $33.8 million.
(4) Amount represents the revenue not reported during the period as a result of the acquisition accounting adjustment associated with the accounting for deferred revenue in business combinations.
(5) Amount represents $61.0 million of amortization expense associated with intangible assets acquired in business combinations, $36.9 million of stock-based compensation expense, the $5.4 million adjustment to revenue as reflected in (4) above and $1.1 million of transaction expenses related to business combinations.
(6) Amount represents the impact of the adjustments to operating income referred to in (5) above, adjusted for the related income tax impact of $35.7 million.
Non-GAAP Measures Management uses non-GAAP financial measures (a) to evaluate the Company's historical and prospective financial performance as well as its performance relative to its competitors, (b) to set internal sales targets and spending budgets, (c) to allocate resources, (d) to measure operational profitability and the accuracy of forecasting, (e) to assess financial discipline over operational expenditures and (f) as an important factor in determining variable compensation for management and its employees.
In addition, many financial analysts that follow the Company focus on and publish both historical results and future projections based on non-GAAP financial measures.
The Company believes that it is in the best interest of its investors to provide this information to analysts so that they accurately report the non-GAAP financial information.
Moreover, investors have historically requested and the Company has historically reported these non-GAAP financial measures as a means of providing consistent and comparable information with past reports of financial results.
While management believes that these non-GAAP financial measures provide useful supplemental information to investors, there are limitations associated with the use of these non-GAAP financial measures.
These non-GAAP financial measures are not prepared in accordance with GAAP, are not reported by all of the Company's competitors and may not be directly comparable to similarly titled measures of the Company's competitors due to potential differences in the exact method of calculation.
The Company compensates for these limitations by using these non-GAAP financial measures as supplements to GAAP financial measures and by reviewing the reconciliations of the non-GAAP financial measures to their most comparable GAAP financial measures.
## Table 2 ##
The Company issued 35,000, 115,485 and 39,900 performance-based restricted stock awards during 2016, 2015 and 2014, respectively.
Of the cumulative performance-based restricted stock awards issued, defined operating metrics were assigned to 63,462, 51,795 and 20,667 awards with grant-date fair values of $84.61, $86.38 and $81.52 during 2016, 2015 and 2014, respectively.
The grant-date fair value of the awards is being recorded from the grant date through the conclusion of the measurement period associated with each operating metric based on management's estimates concerning the probability of vesting.
As of December 31, 2016, 7,625 units of the total 2014 awards granted were earned and will be issued in 2017.
Total compensation expense associated with the awards recorded for the years ended December 31, 2016, 2015 and 2014 was $0.4 million, $0.4 million and $0.1 million, respectively.
In addition, in 2016, 2015 and 2014, the Company granted restricted stock units of 488,622, 344,500 and 364,150, respectively, that will vest over a three- or four-year period with weighted-average grant-date fair values of $88.51, $86.34 and $82.13, respectively.
During 2016 and 2015, 162,019 and 85,713 shares vested and were released, respectively.
As of December 31, 2016, 2015 and 2014, 838,327, 571,462 and 344,750 units were outstanding, respectively.
Total compensation expense is being recorded over the service period and was $19.1 million, $12.5 million and $5.8 million for the years ended December 31, 2016, 2015 and 2014, respectively.
In conjunction with a 2015 acquisition, ANSYS issued 68,451 shares of replacement restricted stock with a weighted-average grant-date fair value of $90.48.
Of the $6.2 million grant-date fair value, $3.5 million, related to partially vested awards, was recorded as non-cash purchase price consideration.
The remaining fair value will be recognized as stock compensation expense through the conclusion of the service period.
During the years ended December 31, 2016 and 2015, the Company recorded $1.2 million and $0.6 million, respectively, of stock compensation expense related to these awards.
In conjunction with a 2011 acquisition, the Company granted performance-based restricted stock awards.
Vesting was determined based on the achievements of certain revenue and operating income targets of the entity post-acquisition.
Total compensation expense associated with the awards recorded for the year ended December 31, 2014 was $4.7 million.
The Company has granted deferred stock awards to non-affiliate Independent Directors, which are rights to receive shares of common stock upon termination of service as a Director.
In 2015 and prior, the deferred stock awards were granted quarterly in arrears and vested immediately upon grant.
Associated with these awards, the Company established a non-qualified 409(a) deferred compensation plan with assets held under a rabbi trust to provide Directors an opportunity to diversify their vested awards.
During open trading windows and at their elective option, the Directors may convert their Company shares into a variety of non-Company-stock investment options in order to diversify their holdings.
As of December 31, 2016, 5,000 shares have been diversified and 184,099 undiversified deferred stock awards have vested with the underlying shares remaining unissued until the service termination of the respective Director owners.
In May 2016, the Company granted 38,400 deferred stock awards which will vest in full on the one-year anniversary of the grant.
Total compensation expense associated with the awards recorded for the years ended December 31, 2016, 2015 and 2014 was $1.9 million, $4.0 million and $3.5 million, respectively.
17.
Unconditional Purchase Obligations The Company has entered into various unconditional purchase obligations which primarily include software licenses and longterm purchase contracts for network, communication and office maintenance services.
The Company expended $7.2 million, $5.3 million and $2.9 million related to unconditional purchase obligations that existed as of the beginning of each year for the years ended December 31, 2016, 2015 and 2014, respectively.
Future expenditures under unconditional purchase obligations in effect as of December 31, 2016 are as follows:

<table><tr><td></td><td colspan="3">Year Ended December 31,</td></tr><tr><td>Risk-free interest rate</td><td>2013 0.68% to 1.48%</td><td>2012 0.59% to 1.04%</td><td>2011 0.91% to 2.11%</td></tr><tr><td>Expected dividend yield</td><td>—%</td><td>—%</td><td>—%</td></tr><tr><td>Expected volatility</td><td>37%</td><td>38%</td><td>39%</td></tr><tr><td>Expected term</td><td>5.8 years</td><td>6.0 years</td><td>5.8 years</td></tr><tr><td>Weighted average fair value per share</td><td>$29.85</td><td>$24.82</td><td>$25.84</td></tr></table>
<table><tr><td></td><td colspan="8">Year Ended December 31,</td></tr><tr><td></td><td colspan="4">2015</td><td colspan="4">2014</td></tr><tr><td>(in thousands, except percentages and per share data)</td><td>AsReported</td><td>Adjustments</td><td></td><td>Non-GAAPResults</td><td>AsReported</td><td>Adjustments</td><td></td><td>Non-GAAPResults</td></tr><tr><td>Total revenue</td><td>$942,753</td><td>$1,725</td><td>-1</td><td>$944,478</td><td>$936,021</td><td>$5,421</td><td>-4</td><td>$941,442</td></tr><tr><td>Operating income</td><td>353,679</td><td>94,665</td><td>-2</td><td>448,344</td><td>347,450</td><td>104,403</td><td>-5</td><td>451,853</td></tr><tr><td>Operating profit margin</td><td>37.5%</td><td></td><td></td><td>47.5%</td><td>37.1%</td><td></td><td></td><td>48.0%</td></tr><tr><td>Net income</td><td>$252,521</td><td>$60,854</td><td>-3</td><td>$313,375</td><td>$254,690</td><td>$68,719</td><td>-6</td><td>$323,409</td></tr><tr><td>Earnings per share – diluted:</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>Earnings per share</td><td>$2.76</td><td></td><td></td><td>$3.42</td><td>$2.70</td><td></td><td></td><td>$3.43</td></tr><tr><td>Weighted average shares</td><td>91,502</td><td></td><td></td><td>91,502</td><td>94,194</td><td></td><td></td><td>94,194</td></tr></table>
<table><tr><td></td><td>Year Ended December 31,</td></tr><tr><td>Assumptions used in Monte Carlo lattice pricing model</td><td>2016</td><td>2015</td><td>2014</td></tr><tr><td>Risk-free interest rate</td><td>1.0%</td><td>1.1%</td><td>0.7%</td></tr><tr><td>Expected dividend yield</td><td>—%</td><td>—%</td><td>—%</td></tr><tr><td>Expected volatility—ANSYS stock price</td><td>21%</td><td>23%</td><td>25%</td></tr><tr><td>Expected volatility—NASDAQ Composite Index</td><td>16%</td><td>14%</td><td>15%</td></tr><tr><td>Expected term</td><td>2.8 years</td><td>2.8 years</td><td>2.8 years</td></tr><tr><td>Correlation factor</td><td>0.65</td><td>0.60</td><td>0.70</td></tr></table>

Question: what was the average total compensation expense associated with the awards from 2014 to 2016 in millions
Answer: 3.13333