In connection with the preparation of its financial statements for the quarter ended June 30, 2019, the Company identified and corrected certain errors that were immaterial to previously-reported consolidated financial statements. These errors related primarily to i) the cumulative effective adjustment for the income tax effect of intercompany transactions resulting from the adoption of Accounting Standards Codification (“ASC”) No. 606, Revenue from Contracts with Customers (ASC 606) on January 1, 2018, and ii) income tax accounting for acquisitions. The Company evaluated the materiality of these errors both qualitatively and quantitatively in accordance with Staff Accounting Bulletin (“SAB”) No. 99, Materiality, and SAB No. 108, Considering the Effects of Prior Year Misstatements When Quantifying Misstatements in Current Year Financial Statements, and determined the effect of these corrections were not material to the previously issued financial statements. However, the effect of correcting these errors in the current period would be material to the current period financial statements. Therefore, the amounts in the previous periods have been revised to reflect the correction of these errors. These revisions do not impact amounts previously reported in the consolidated statements of operations for the three months ended March 31, 2019 and 2018, the three and six months ended June 30, 2018, or for total operating, investing, or financing activities on the consolidated statements of cash flows for any previously reported period.

The following table presents the effect of the error corrections on the Company’s consolidated balance sheet for the period indicated (in thousands):

	December 31, 2018
	As Reported			Adjustments			As Corrected
Deferred tax assets	$	1,373		$	3,981		$	5,354
Total assets	$	483,216		$	3,981		$	487,197
Other accrued expenses and current liabilities	$	27,565		$	(526	)	$	27,039
Total current liabilities	$	127,758		$	(526	)	$	127,232
Other long-term liabilities	$	28,153		$	(2,397	)	$	25,756
Total liabilities	$	194,082		$	(2,923	)	$	191,159
Accumulated deficit	$	(82,005	)	$	7,142		$	(74,863	)
Accumulated other comprehensive loss	$	(11,052	)	$	(238	)	$	(11,290	)
Total stockholders' equity	$	286,782		$	6,904		$	293,686
Total liabilities, mezzanine equity and stockholders' equity	$	483,216		$	3,981		$	487,197

The adjustments for amounts similar to the above were also made to the Company’s consolidated balance sheets as of March 31, 2018, June 30, 2018, September 30, 2018, and March 31, 2019, respectively. Additionally, the Company revised goodwill, total assets, and total liabilities, mezzanine equity and stockholders’ equity on the consolidated balance sheet as of December 31, 2017, to correct these errors, resulting in a decrease of $1.6 million from the previously reported amounts. The consolidated statements of changes in stockholders’ equity (deficit) for the three month periods ended March 31, 2018 and 2019 have been corrected to reflect the adjustments described herein.

The following tables present the effect of the error corrections on the consolidated statements of operations for the periods indicated (in thousands, except per share data):

	Year Ended December 31, 2018
	As Reported		Adjustments			As Corrected
Income before income taxes	$	27,024	$	—		$	27,024
Income tax expense	$	13,309	$	(1,820	)	$	11,489
Net income	$	13,715	$	1,820		$	15,535
Net income per share attributable to common stockholders, basic	$	0.20	$	0.03		$	0.23
Net income per share attributable to common stockholders, diluted	$	0.18	$	0.03		$	0.21

	Year Ended December 31, 2017
	As Reported			Adjustments			As Corrected
Loss before income taxes	$	(36,411	)	$	—		$	(36,411	)
Income tax expense	$	62,996		$	2,534		$	65,530
Net loss	$	(99,407	)	$	(2,534	)	$	(101,941	)
Net income per share attributable to common stockholders, basic	$	(1.89	)	$	(0.05	)	$	(1.94	)
Net income per share attributable to common stockholders, diluted	$	(1.89	)	$	(0.05	)	$	(1.94	)

Additionally, the Company revised income tax expense, net income, and net income per share attributable to common stockholders (basic and diluted) on the consolidated statement of operations for the year ended December 31, 2016, to correct these errors, resulting in an increase of $0.2 million, a decrease of $0.2 million and a decrease of $0.01, respectively, from the previously reported amounts.

The accompanying unaudited consolidated financial statements have been prepared in accordance with United States generally accepted accounting principles (“GAAP”) and applicable rules and regulations of the Securities and Exchange Commission (“SEC”) regarding interim financial information. Accordingly, the accompanying statements do not include all the information and notes required by GAAP for complete financial statements. The accompanying unaudited consolidated financial statements should be read in conjunction with the Company’s audited consolidated financial statements (and notes thereto) for the year ended December 31, 2018, included in the most recent Annual Report on Form 10-K filed with the SEC. In the opinion of management, all adjustments considered necessary for a fair presentation of the financial statements have been included, and all adjustments are of a normal and recurring nature. The preparation of the financial statements in conformity with GAAP requires management to make estimates and assumptions that affect the reported amounts of assets and liabilities, and disclosures of contingent assets and liabilities at the date of the financial statements, and reported amounts of revenue and expenses during the reporting periods. Considerable judgment is often involved in making these determinations; use of different assumptions could result in significantly different results. Management believes its assumptions and estimates are reasonable and appropriate. However, actual results may differ from those estimates. In addition, the results of operations for the six months ended June 30, 2019, are not necessarily indicative of the results that may be expected for any future period.

The Company adopted Accounting Standards Update (“ASU”) No. 2016-02, Leases (Topic 842), and its related amendments, on January 1, 2019. See Note 3 – Recent accounting guidance and Note 9 – Leases for additional information. There have been no other material changes to Altair’s significant accounting policies as compared to the significant accounting policies described in the Company’s Annual Report on Form 10-K for the year ended December 31, 2018.

In the fourth quarter of fiscal 2018, the Company adopted ASC 606 effective on January 1, 2018, using the modified retrospective approach for all contracts not completed as of the date of adoption. Results for the three and six months ended June 30, 2018, have been modified to reflect the adoption of ASC 606 on January 1, 2018.

The Company recorded a decrease to accumulated deficit of $84.6 million, or $77.7 million net of tax, on January 1, 2018, due to the cumulative effect of the ASC 606 adoption, with the impact primarily derived from revenue related to software licenses recognized at a point in time under ASC 606 that were historically recognized over time. There was no impact on Client Engineering Services or Other revenue upon the adoption of ASC 606.

The Company has concluded that all material transactions that have occurred that require disclosure or adjustments to the consolidated financial statements have been reported herein.

Certain prior period amounts included in the 2018 consolidated statement of operations and consolidated balance sheet have been reclassified to conform to the current year presentation.

The preparation of the consolidated financial statements in conformity with GAAP requires management to make estimates and assumptions that affect the reported amounts of assets and liabilities and disclosures of contingent assets and liabilities at the date of the financial statements, and reported amounts of revenue and expenses during the reporting periods. On an ongoing basis, management evaluates its significant estimates including the stand alone selling price, or SSP, for each distinct performance obligation included in customer contracts with multiple performance obligations, the incremental borrowing rate used in the valuation of lease liabilities, the determination of the period of benefit for capitalized costs to obtain a contract, fair value of convertible senior notes, provision for doubtful accounts, tax valuation allowances, liabilities for uncertain tax provisions, impairment of goodwill and intangible assets, retirement obligations, useful lives of intangible assets, revenue for fixed price contracts, valuation of common stock, and stock-based compensation. Actual results could differ from those estimates.

The Company considers all highly liquid investments with original or remaining maturities of 90 days or less at the date of purchase to be cash equivalents. Cash and cash equivalents are recorded at cost, which approximates fair value.

Restricted cash is included in other long-term assets on the consolidated balance sheets. The following table provides a reconciliation of cash, cash equivalents and restricted cash reported in the consolidated balance sheet that sum to the total of the amounts reported in the consolidated statement of cash flows (in thousands):

Restricted cash represents amounts required for a contractual agreement with an insurer for the payment of potential health insurance claims, and term deposits for bank guarantees.

Inventory was $2.8 million and $2.0 million at June 30, 2019 and December 31, 2018, respectively, and is included in prepaid expenses and other current assets in the consolidated balance sheets. Inventory consist of finished goods and is stated at the lower of cost and net realizable value. Cost is determined using the first-in, first-out method. Net realizable value is the estimated selling prices in the ordinary course of business, less reasonable predictable costs of completion, disposal and transportation. The valuation of inventory requires management to estimate excess inventory as well as inventory that is not of saleable quality. The determination of obsolete or excess inventory requires management to estimate market conditions and future demand for the Company’s products.

The French government provides a research and development (“R&D”) tax credit known as Credit Impôt Recherche, or CIR, in order to encourage Companies to invest in R&D activities. The tax credit is deductible from French income tax and any excess is carried forward three years. After three years, any unused credit may be reimbursed to the Company by the French government. As of June 30, 2019, the Company had approximately $12.0 million receivable from the French government related to CIR, of which $1.3 million was recorded in income tax receivable and the remaining $10.7 million was recorded in other long-term assets. As of December 31, 2018, the Company had approximately $11.7 million receivable from the French government related to CIR, of which $2.6 million was recorded in income tax receivable and the remaining $9.1 million was recorded in other long-term assets. CIR is subject to customary audit by French tax authorities.

In 2017, the Company issued 200,000 shares of Class A common stock to a third party as partial consideration for the purchase of developed technology. These shares have a put right that can be exercised by the holder five years from date of purchase at $12.50 per share that requires the shares to be recorded at fair value at the issuance date and classified as mezzanine equity in the consolidated balance sheet. The put right option is terminated if the shareholders sell their shares. As of December 31, 2017, the Company concluded that it is no longer probable that the put option will be exercised as the put value is substantially below market value and subsequent adjustment is not required.

Classification of the of instrument shall remain as mezzanine equity until one of the following three events take place: (1) shares are sold on the open market; (2) a redemption feature lapses; or (3) there is a modification of the terms of the instrument. As none of these events have taken place as of June 30, 2019, the classification remains as mezzanine equity.

The Company determines if an arrangement is a lease at inception. Operating leases are included in operating lease right-of-use (“ROU”) assets, current portion of operating lease liabilities, and operating lease liabilities, net of current portion on the Company’s consolidated balance sheets. Finance leases are included in property and equipment, current portion of long-term debt, and long-term debt, net of current portion on the consolidated balance sheets.

Basic (loss) income per share attributable to common stockholders is computed using the weighted average number of shares of common stock outstanding for the period, excluding stock options and restricted stock units (“RSUs”). Diluted (loss) income per share attributable to common stockholders is based upon the weighted average number of shares of common stock outstanding for the period and potentially dilutive common shares, including the effect of stock options and RSUs under the treasury stock method. The following table sets forth the computation of the numerators and denominators used in the basic and diluted (loss) income per share amounts (in thousands, except per share data):

	Three Months Ended June 30,						Six Months Ended June 30,
	2019			2018			2019		2018
Numerator:
Net (loss) income	$	(3,120	)	$	(1,080	)	$	9,899	$	23,604
Denominator:
Denominator for basic (loss) income per share— weighted average shares		71,373			65,580			71,081		64,614
Effect of dilutive securities, stock options and RSUs		—			—			5,936		8,267
Denominator for dilutive (loss) income per share		71,373			65,580			77,017		72,881
Net (loss) income per share attributable to common stockholders, basic	$	(0.04	)	$	(0.02	)	$	0.14	$	0.37
Net (loss) income per share attributable to common stockholders, diluted	$	(0.04	)	$	(0.02	)	$	0.13	$	0.32

The computation of diluted (loss) income per share does not include shares that are anti-dilutive under the treasury stock method because their exercise prices are higher than the average fair value of the Company’s stock during the period or due to a net loss in the period. For the three months ended June 30, 2019, there were 5.6 million anti-dilutive stock options excluded from the computation of (loss) income per share. For the three months ended June 30, 2018, there were 7.8 million anti-dilutive stock options excluded from the computation of (loss) income per share. For both the six months ended June 30, 2019 and 2018, there were no anti-dilutive shares excluded from the computation of (loss) income per share.

The Company expects to settle the principal amount of the Convertible Notes (as defined in Note 8) in cash, and therefore, the Company uses the treasury stock method for calculating any potential dilutive effect of the Conversion Option (as defined in Note 8) on diluted net (loss) income per share, if applicable. The Conversion Option will have a dilutive impact on net income per share of common stock when the average market price of the Company’s Class A common stock for a given period exceeds the conversion price of the Convertible Notes of $46.50 per share. During the three months ended June 30, 2019, the Company's weighted average common stock price was below the conversion price of the Convertible Notes.