The following discussion and analysis of our financial condition and results of operations should be read in conjunction with our audited consolidated financial statements (and notes thereto) for the year ended December 31, 2022 included elsewhere in this Annual Report on Form 10-K. This discussion contains forward-looking statements that involve risks and uncertainties. Our actual results could differ materially from those discussed below. Factors that could cause or contribute to such differences include, but are not limited to, those identified below and those discussed in "Risk factors" and "Cautionary Note Regarding Forward-Looking Statements" included elsewhere in this Annual Report on Form 10-K.

Overview

We are a global leader in computational science and artificial intelligence enabling organizations across broad industry segments to drive smarter decisions in an increasingly connected world. We deliver software and cloud solutions in the areas of simulation, high-performance computing ("HPC"), data analytics, and artificial intelligence ("AI"). Our products and services leverage computational science to drive innovation and intelligent decisions for a more connected, safe, and sustainable future.

Our simulation and AI-driven approach to innovation is powered by our broad portfolio of high-fidelity and high-performance physics solvers, our market-leading technology for optimization and HPC, and our end-to-end platform for developing AI and Internet of Things ("IoT") solutions. Our integrated suite of software optimizes design performance across multiple disciplines encompassing structures, motion, fluids, thermal, electromagnetics, system modeling, and embedded systems, while also providing AI solutions and true-to-life visualization and rendering. Our HPC solutions maximize the efficient utilization of complex compute resources and streamline the workflow management of compute-intensive tasks for applications including AI, modeling and simulation, and visualization. Our data analytics, AI and IoT products include data preparation, data science, MLOps, orchestration, and visualization solutions that fuel engineering, scientific, and business decisions.

Altair's software products represent a comprehensive, open architecture solution for simulation, HPC, data analytics, and AI to empower decision making for improved product design and development, manufacturing, energy management and exploration, financial services, health care, and retail operations. We believe Altair's solutions are compelling due to their openness and usability.

Altair's products offer a comprehensive set of technologies to design and optimize high-performance, efficient, innovative and sustainable products and processes in an increasingly connected world. Our products are categorized by:

Physics Simulation and Concept Design;

High Performance and Cloud Computing; and

Data Analytics, AI, IoT and Smart Product Development.

Altair also provides Client Engineering Services, or CES, to support our customers with long-term ongoing expertise. This has the benefit of embedding us within customers, deepening our understanding of their processes, and allowing us to more quickly perceive trends in the overall market. Our presence at our customers' sites helps us to better tailor our software products' research and development, or R&D, and sales initiatives.

Licensing

There are two licensing methods we employ to deliver our software solutions:

Most products are available under our unique, patented units-based licensing model known as Altair Units.

A small subset of our products is available on a node-locked, or hardware specific, and named-user basis. This is especially true for our high-performance computing solutions.

Altair pioneered Altair Units, a patented units-based subscription licensing model for software and other digital content. This units-based subscription licensing model allows flexible and shared access to our offerings, along with more than 150 partner products. Our customers license a pool of units for their organizations giving individual users access to our portfolio of software applications as well as our growing portfolio of partner products. We believe our units-based subscription licensing model lowers barriers to adoption, creates broad engagement, encourages users to work within our ecosystem, and increases revenue. This, in turn, helps drive our recurring software license rate which has been on average approximately 90% over the past five years. Historically, approximately 60% of new software revenue comes from expansion within existing customers.



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Recent Business Developments

Business combinations

In September 2022, we acquired RapidMiner, a leader in advanced data analytics and machine learning software. RapidMiner will be integrated with existing tools, such as Altair Knowledge Studio, Altair SmartWorks, and Altair SLC, to provide a comprehensive, code-optional, multi-language, SaaS-ready, cloud-scale platform for enterprise data analytics and data science.

RapidMiner's low-code platform is used to develop production-scale data pipelines and ML models, putting advanced data analytics into the hands of those who know the domain problems best. It provides powerful, drag-and-drop building blocks to transform and augment data, and its flexible delivery models provide users and enterprises with the scale they need, from a user's desktop to on-premises servers to secure, multi-tenant cloud. The acquisition of RapidMiner strengthens our end-to-end data analytics portfolio.

In June 2022, we acquired Concept Engineering, a leading provider of electronic system visualization software that accelerates the development, manufacture, and service of complex electrical and electronic systems. Most of Concept Engineering's software will be integrated into Altair's Electronic System Design suite and is available via Altair Units.

We believe that our recent acquisitions result in certain benefits, including expanding our portfolio of software and products and enabling us to better serve our customer's requests for data analytics and simulation technology. However, to realize some of these anticipated benefits, the acquired businesses must be successfully integrated. The success of these acquisitions will depend in part on our ability to realize these anticipated benefits. We may fail to realize the anticipated benefits of these acquisitions for a variety of reasons.

Convertible Senior Notes

2027 Notes

In June 2022, we issued $230.0 million aggregate principal amount of 1.750% convertible senior notes due in 2027 (the "2027 Notes"), which includes the initial purchaser's exercise in full of its option to purchase an additional $30.0 million principal amount of the 2027 Notes, in a private offering. The net proceeds from the issuance of the 2027 Notes was approximately $224.3 million after deducting discounts, commissions and estimated issuance costs.

We entered into an Indenture relating to the issuance of the 2027 Notes dated June 14, 2022 (the "Indenture"), by and between the Company and U.S. Bank Trust Company, National Association, as trustee. The Indenture includes customary covenants and sets forth certain events of default after which the 2027 Notes may be declared immediately due and payable and sets forth certain types of bankruptcy or insolvency events of default involving the Company after which the 2027 Notes become automatically due and payable. The 2027 Notes are senior unsecured obligations of the Company.

The 2027 Notes mature on June 15, 2027, unless earlier repurchased, redeemed or converted. We may redeem for cash all or, subject to certain limitations, any portion of the 2027 Notes, at our option, on or after June 20, 2025, if the last reported sale price of our Class A Common Stock has been at least 130% of the conversion price then in effect for at least 20 trading days (whether or not consecutive) during any 30 consecutive trading day period, at a redemption price equal to 100% of the principal amount of the notes to be redeemed, plus accrued and unpaid interest to, but excluding, the redemption date. The 2027 Notes bear interest at a rate of 1.750% per year, payable semiannually in arrears on June 15 and December 15 of each year, which commenced on December 15, 2022.

The 2027 Notes have an initial conversion rate of 13.9505 shares of our Class A common stock per $1,000 principal amount of 2027 Notes, which is equivalent to an initial conversion price of approximately $71.68 per share of Class A common stock. The conversion rate will be subject to adjustment upon the occurrence of certain events specified in the Indenture but will not be adjusted for any accrued and unpaid interest. In addition, upon the occurrence of a make whole fundamental change or a redemption period (each as defined in the Indenture), we will, in certain circumstances, increase the conversion rate by a specified number of additional shares for a holder who elects to convert its 2027 Notes in connection with such make whole fundamental change or during the relevant redemption period.

Holders of the 2027 Notes may convert all or any portion of their 2027 Notes at any time prior to the close of business on the business day immediately preceding December 15, 2026, in integral multiples of $1,000 principal amount, only under the following circumstances:

during any calendar quarter, if the last reported sale price of the Class A Common Stock for at least 20 trading days (whether or not consecutive) during a period of 30 consecutive trading days ending on, and including, the last trading day



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of the immediately preceding calendar quarter is greater than or equal to 130% of the conversion price on each applicable trading day;

during the five business day period after any five consecutive trading day period (the "measurement period") in which the trading price (as defined in the Indenture) per $1,000 principal amount of the 2027 Notes for each trading day of the measurement period was less than 98% of the product of the last reported sale price of the Class A Common Stock and the conversion rate on each such trading day;

if we call the 2027 Notes for redemption (which we may not do prior to June 20, 2025), at any time prior to the close of business on the scheduled trading day immediately preceding the redemption date but only with respect to the 2027 Notes called (or deemed called) for redemption; or

upon the occurrence of specified corporate events.

On or after December 15, 2026, until the close of business on the business day immediately preceding the maturity date, holders may convert their 2027 Notes at any time, regardless of the foregoing circumstances. Upon conversion, we will pay or deliver, as the case may be, cash, shares of Class A Common Stock or a combination of cash and shares of Class A Common Stock, at our election, in the manner and subject to the terms and conditions provided in the Indenture.

2024 Notes

In June 2022, using proceeds from the issuance of the 2027 Notes, we retired approximately $148.2 million principal amount of our convertible senior notes which mature in 2024 (the "2024 Notes" and together with the 2027 Notes, the "Convertible Notes"), by paying cash of approximately $192.4 million including accrued and unpaid interest.

Credit Agreement

On November 7, 2022, we exercised the $50.0 million accordion feature of our credit facility in accordance with the terms and conditions set forth in the credit agreement, for an aggregate revolving commitment of $200.0 million available to us ("2019 Amended Credit Agreement"). In June 2022, we amended our credit facility to, among other things, permit the issuance of the 2027 Notes and extend the maturity date of the credit facility to December 15, 2025.

Impact of COVID-19

In March 2020, The World Health Organization declared the outbreak of COVID-19, a pandemic and a public health emergency of international concern. The global spread of COVID-19, including new and emerging variants, has created significant volatility and uncertainty since March 2020 and may continue into the future.

We have converted our business to being capable of operating nearly 100% remote as required or recommended under COVID-19 restrictions, leveraging our global technology infrastructure. Our culture, technology, and people allowed us to react quickly when the crisis initially emerged. As a result, we maintained high levels of productivity and employee engagement. As the COVID-19 pandemic continued to affect many global regions through 2022, our workforce remained in a hybrid mode of remote and in-person working. We have gradually resumed normal operations, when permitted, based on local conditions and restrictions, with the primary focus of preserving employee welfare, while continuing to support customers.

Factors affecting our performance

We believe that our future success will depend on many factors, including those described below. While these areas present significant opportunity, they also present risks that we must manage to achieve successful results. If we are unable to address these challenges, our business, operating results and prospects could be harmed. See Part I, Item 1A. - Risk Factors included elsewhere in this Annual Report on Form 10-K.



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Seasonality and quarterly results

Our billings have historically been highest in the first and fourth quarters of any calendar year and may vary in future quarters. The timing of recording billings and the corresponding effect on our cash flows may vary due to the seasonality of the purchasing patterns of our customers. In addition, the timing of the recognition of revenue, the amount and timing of operating expenses, including employee compensation, sales and marketing activities, and capital expenditures, may vary from quarter-to-quarter which may cause our reported results to fluctuate significantly. Furthermore, we may choose to grow our business for the long-term rather than optimize for profitability or cash flows for a particular shorter-term period. This seasonality or the occurrence of any of the factors above may cause our results of operations to vary and our financial statements may not fully reflect the underlying performance of our business.

Foreign currency fluctuations

Because of our substantial international operations, we are exposed to foreign currency risks that arise from our normal business operations, as well as our transactions that are denominated in foreign currencies, including the Euro, British Pound Sterling, Indian Rupee, Japanese Yen, and Chinese Yuan. To identify changes in our underlying business without regard to the impact of currency fluctuations, we evaluate certain of our operating results both on an as reported basis, as well as on a constant currency basis. Our 2022 revenue and profit were adversely affected relative to the prior year by changes in foreign currency rates and we anticipate that this may continue in 2023.

Business segments

We have identified two reportable segments: Software and Client Engineering Services:

Software -Our Software segment includes software, software services, and software related services. The software component of this segment includes our portfolio of software products including our solvers and optimization technology products, high-performance computing software applications and hardware products, modeling and visualization tools, data analytics and analysis products, IoT platform and analytics tools as well as support and the complementary software products we offer through our Altair Partner Alliance, or APA. The APA includes technologies ranging from computational fluid dynamics and fatigue to manufacturing process simulation and cost estimation. The software services and related services component of this segment includes consulting, implementation services, and training focused on product design and development expertise and analysis from the component level up to complete product engineering at any stage of the lifecycle.

Client Engineering Services - Our client engineering services, or CES, segment provides client engineering services to support our customers with long-term, ongoing expertise. We operate our CES business by hiring engineers and data scientists for placement at a customer site for specific customer-directed assignments. We employ and pay them only for the duration of the placement.

Our other businesses which do not meet the criteria to be separate reportable segments are combined and reported as "Other" which represents innovative services and products, including toggled, our LED lighting business. toggled is focused on developing and selling next-generation solid state lighting technology along with communication and control protocols based on our intellectual property for the direct replacement of fluorescent light tubes with LED lamps. Other businesses combined within Other include potential services and product concepts that are still in their development stages.

For additional information about our reportable segments and other businesses, see Note 17 in the Notes to consolidated financial statements in Item 15, Part IV of this Annual Report on Form 10-K.

Components of results of operations

Revenue

We primarily derive revenue from the licensing of our software, which includes our units-based subscription licensing model for term and perpetual software licenses, as well as software related services. Our CES business derives revenue from providing engineers and data scientists to support our customers' long-term, ongoing projects.



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Software

Software revenue is principally comprised of subscription licenses, and to a lesser extent, perpetual licenses and associated maintenance and support fees. Subscriptions are typically governed by contracts with annual terms which include product updates, maintenance and support. We generally recognize software license revenue up front, while maintenance and support revenue are generally recognized over the term of the contract. To a much lesser extent, Software also includes revenue from the sale of hardware products.

Software includes consulting, implementation services and training. We generally recognize revenue for software services as those services are performed.

Software related services

Consulting services from product design and development projects are considered distinct performance obligations and are provided to customers on a time-and-materials, or T&M, or fixed-price basis. Altair recognizes services revenue from our T&M contracts using input-based estimates, utilizing direct labor and contractually agreed-upon hourly rates as the input measure. For fixed-price contracts, software services revenue is recognized over time using a method that measures the extent of progress towards completion of a performance obligation, generally using a cost-input method where revenue is recognized based on the proportion of total cost incurred to estimated total costs at completion. If output or input measures are not available or cannot be reasonably estimated, revenue is recognized upon completion of the services.

Client engineering services

We operate our CES business by hiring engineers and data scientists for placement at a customer site for specific customer-directed assignments. We employ and pay them only for the duration of the placement.

Our CES business generates revenue from placing simulation specialists, industrial designers, design engineers, materials experts, development engineers, manufacturing engineers, and information technology specialists. We recognize CES revenue based upon hours worked and contractually agreed-upon hourly rates.

Other

Our Other revenue consists primarily of revenue related to our LED lighting business operated out of our wholly-owned subsidiary, toggled. toggled designs, and sources through contract manufacturers, LED lighting and related products for sale to consumers and businesses. We also generate revenue through royalties from licensing toggled technology to third-party manufacturers and resellers.

Cost of revenue

Cost of software

Cost of software revenue consists of expenses related to software licensing, hardware sales and customer support. Significant expenses include employee compensation and related costs for support team members, including salaries, benefits, bonuses and stock-based compensation, as well as hardware costs, travel costs, certain data center and facility costs and royalties for third-party software products available to customers through our products or as part of our APA.

Cost of software related services

Cost of software related services revenue consists of personnel and related costs, such as salaries, benefits, bonuses and stock-based compensation, as well as travel expenses.

Cost of client engineering services

Cost of engineering services revenue consists primarily of employee compensation and related costs. We employ and pay them only for the duration of the placement at a customer site.



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Cost of other

Cost of other revenue includes the cost of LED lighting products and freight related to products sold to retail and commercial sales channels.

Operating expenses

Operating expenses, as defined and discussed below, support all the products and services that we provide to our customers and, as a result, they are presented in aggregate.

Research and development

Research and development expenses consist primarily of employee compensation and related costs associated with our development team, including salaries, benefits, bonuses, professional consulting and development fees, and stock-based compensation expense. Our research and development efforts are focused on enhancing the functionality, breadth and scalability of our software, addressing new use cases, and developing additional innovative technologies. Timely development of new products is essential to maintaining our competitive position, and we release new versions of our software on a regular basis. All software development costs are expensed as incurred as our current software development process is essentially completed concurrent with the establishment of technological feasibility.

Sales and marketing

Sales and marketing expenses consist primarily of employee compensation and related costs associated with our sales and marketing staff, including salaries, benefits, bonuses, commissions and stock-based compensation, as well as costs relating to our marketing and business development programs including trade shows and events. We intend to continue to invest resources in our sales and marketing initiatives to drive growth and extend our market position.

General and administrative

General and administrative expenses consist of employee compensation and related costs for executive, finance, legal, human resources, recruiting, and employee-related information technology and administrative personnel, including salaries, benefits, bonuses and stock-based compensation expense, professional fees for external legal and accounting services, depreciation, facilities, recruiting and other consulting services.

Amortization of intangible assets

Amortization of intangible assets consists primarily of amortization of intangibles associated with acquisitions. We expect to incur additional amortization expense resulting from future strategic acquisitions.

Other operating income, net

Other operating income, net consists primarily of government subsidies, primarily in France, in the form of grant income associated with certain of our research and development activities, mark-to-market adjustments for contingent consideration, and other items as disclosed.

Interest expense

Interest expense consists of interest expense on our outstanding indebtedness and amortization of debt issuance costs.

Other expense, net

Other expense, net is comprised primarily of foreign currency exchange gains and losses generated from the settlement and remeasurement of transactions denominated in currencies other than the functional currency of our operating units, expense on the repurchase of our 2024 Notes, and interest income on invested cash.



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Income tax expense

Income tax expense is comprised primarily of income taxes related to United States, foreign, and state jurisdictions in which we conduct business. Income tax expense also includes taxes withheld outside of the United States attributable to remittances to the Company from certain foreign subsidiaries. We record interest and penalties related to income tax matters as income tax expense. We expect the amount of income tax expense (benefit), if any, to vary each reporting period depending upon fluctuations in our quantum and tax jurisdictional mix of income (loss). We have substantial United States net operating loss carryforwards with no expiration period for losses generated 2018 onwards, and tax credit carryforwards which began to expire in 2018. The ability to utilize these tax attributes is highly dependent upon our ability to generate taxable income in the United States in the future.

Our future effective annual tax rate may be materially impacted by the amount of benefits and charges from tax amounts associated with our foreign earnings that are taxed at rates different from the federal statutory rate, the taxation of the foreign earnings in the U.S. under the Global Intangible Low-Taxed Income, or GILTI, and Foreign Derived Intangible Income, or FDII, regimes, changes in valuation allowances, level of profit before tax, accounting for uncertain tax positions, stock-based compensation, business combinations, payments to the Company from certain foreign subsidiaries, closure of statute of limitations, settlements of tax audits, and changes in tax laws including United States tax law changes that were enacted in December 2017. A significant amount of our earnings is generated in our EMEA and APAC regions. Our future effective tax rates may be adversely affected to the extent earnings are lower than anticipated in countries where we have lower statutory tax rates.

As of December 31, 2022 and 2021, we had gross deferred tax assets, or DTAs, of $179.8 million and $153.7 million, respectively, primarily related to capitalized research and development expenses, net operating loss carryforwards, tax credits, share-based compensation, lease obligations and employee benefits. We are entitled to a United States federal tax deduction when non-qualified stock options, or NSOs, are exercised. For 2022 tax year, we recorded an increase in the valuation allowance by $29.5 million for the gross DTAs. Our ability to utilize any net operating losses or tax credits may be limited under provisions of the Code if we undergo an ownership change after our IPO (generally defined as a greater than 50-percentage point cumulative change (by value) in the equity ownership of certain stockholders over a rolling three-year period). We also inherited net operating losses, or NOLs, from the acquisitions of Datawatch, Univa, and RapidMiner, which are subject to specific limitations on usage. We may also be unable to realize our tax credit carryforwards which began to expire in 2018.

For tax years beginning on or after January 1, 2022, the Tax Act eliminates the option to currently deduct research and development expenses and requires taxpayers to capitalize and amortize them over five years for research activities performed in the United States and 15 years for research activities performed outside the United States pursuant to Section 174 of the Code. Although Congress is considering legislation that would repeal or defer this capitalization and amortization requirement, it is not certain that this provision will be repealed or otherwise modified. If the requirement is not repealed or replaced, it will increase our U.S. federal and state cash taxes and reduce cash flows in fiscal year 2023 and future years.

Based on the evidence available, including a lack of taxable earnings in the United States, we recorded a valuation allowance against substantially all of our net deferred tax assets in the United States. If a change in judgment regarding this valuation allowance were to occur in the future, we will record a potentially material deferred tax benefit, which could result in a favorable impact on our effective tax rate in that period. The utilization of tax attributes to offset taxable income reduces the amount of deferred tax assets subject to a valuation allowance.




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Results of operations

The following table sets forth our results of operations and certain financial data for the years ended December 31, 2022 and 2021:



                                              Year ended December 31,
(in thousands)                                  2022             2021
Revenue:
Software                                    $    506,508       $ 453,746
Software related services                         30,661          31,823
Total software and related services              537,169         485,569
Client engineering services                       28,883          39,282
Other                                              6,169           7,328
Total revenue                                    572,221         532,179
Cost of revenue:
Software                                          72,443          67,791
Software related services                         21,858          23,205
Total software and related services               94,301          90,996
Client engineering services                       23,577          31,710
Other                                              5,011           6,960
Total cost of revenue                            122,889         129,666
Gross profit                                     449,332         402,513
Operating expenses:
Research and development                         185,863         151,049
Sales and marketing                              155,245         132,750
General and administrative                        97,606          91,500
Amortization of intangible assets                 27,510          18,357
Other operating income, net                       (9,955 )        (3,482 )
Total operating expenses                         456,269         390,174
Operating (loss) income                           (6,937 )        12,339
Interest expense                                   4,377          12,065
Other expense, net                                16,899             562
Loss before income taxes                         (28,213 )          (288 )
Income tax expense                                15,216           8,506
Net loss                                    $    (43,429 )     $  (8,794 )
Other financial information:
Billings (1)                                $    607,602       $ 539,855
Adjusted EBITDA (2)                         $    108,600       $  85,253

Net cash provided by operating activities $ 39,570 $ 61,623 Free cash flow (3)

$     29,922       $  53,774





(1)

Billings consists of our total revenue plus the change in our deferred revenue, excluding deferred revenue from acquisitions. For more information about Billings and our other non-GAAP financial measures and reconciliations of our non-GAAP financial measures to the most directly comparable financial measures calculated and presented in accordance with GAAP, see "Non-GAAP financial measures" contained herein.

(2)

We define Adjusted EBITDA as net income (loss) adjusted for income tax expense (benefit), interest expense, interest income and other, depreciation and amortization, stock-based compensation expense, restructuring charges, asset impairment charges and other special items as determined by management. For more information about Adjusted EBITDA and our other non-GAAP financial measures and reconciliations of our non-GAAP financial measures to the most directly comparable financial measure calculated and presented in accordance with GAAP, see "Non-GAAP financial measures" contained herein.

(3)

We define Free Cash Flow as net cash provided by operating activities less capital expenditures. For a reconciliation of Free Cash Flow to the most directly comparable financial measure calculated and presented in accordance with GAAP, see "Non-GAAP financial measures" contained herein.



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Years ended December 31, 2022 and 2021



Revenue

Software

                                                 Year ended
                                                December 31,                Change
(dollars in thousands)                       2022          2021           $          %
Software revenue                           $ 506,508     $ 453,746     $ 52,762       12 %

As a percent of software segment revenue 94 % 93 % As a percent of consolidated revenue

              89 %          85 %


Software revenue increased 12% for the year ended December 31, 2022, as compared to the year ended December 31, 2021, or 18% in constant currency. The increase was the result of growth across all three geographic regions, supported by increases in new and expansion business, as well as retention in our renewal base.



Software related services

                                                Year ended
                                               December 31,               Change
(dollars in thousands)                       2022         2021          $          %

Software related services revenue $ 30,661 $ 31,823 $ (1,162 ) (4 %) As a percent of software segment revenue 6 % 7 % As a percent of consolidated revenue

              5 %          6 %



Software related services revenue decreased 4% for the year ended December 31, 2022, as compared to the year ended December 31, 2021. This decrease was the result of lower customer demand in the last half of the current year.



Client engineering services

                                            Year ended
                                           December 31,                Change
(dollars in thousands)                   2022         2021           $           %

Client engineering services revenue $ 28,883 $ 39,282 $ (10,399 ) (26 %) As a percent of consolidated revenue 5 % 7 %

CES revenue decreased 26% for the year ended December 31, 2022, as compared to the year ended December 31, 2021. This decrease was the result of fluctuations in customer demand for these services and reduced CES staff working hours. In addition, we had difficulty filling some CES positions due to a challenging labor market in the U.S.



Other
                                           Year ended
                                          December 31,               Change
(dollars in thousands)                  2022        2021          $           %
Other revenue                          $ 6,169     $ 7,328     $ (1,159 )     (16 %)

As a percent of consolidated revenue 1 % 1 %

Other revenue decreased 16% for the year ended December 31, 2022, as compared to the year ended December 31, 2021, primarily due to reduced unit sales by toggled, our LED lighting business.



Cost of revenue

Software
                                            Year ended
                                           December 31,              Change
(dollars in thousands)                   2022         2021          $         %
Cost of software revenue               $ 72,443     $ 67,791     $ 4,652       7 %
As a percent of software revenue             14 %         15 %

As a percent of consolidated revenue 13 % 13 %






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Cost of software revenue increased $4.7 million, or 7%, for the year ended December 31, 2022, as compared to the year ended December 31, 2021. Employee compensation and related expense increased $2.8 million, stock-based compensation expense increased $2.7 million, third-party sales commissions increased $0.9 million and travel costs increased $0.5 million. The increase in employee compensation was primarily due to increased headcount in the current year. These increases were partially offset by decreases in restructuring costs, facilities costs, third-party consulting fees, and technology expenses of $1.0 million, $0.5 million, $0.5 million, and $0.4 million, respectively.



Software related services

                                                 Year ended
                                                December 31,                   Change
(dollars in thousands)                       2022          2021            $             %
Cost of software related services
revenue                                    $  21,858     $  23,205     $  (1,347 )          (6 %)
As a percent of software related
services revenue                                  71 %          73 %
As a percent of consolidated revenue               4 %           4 %



Cost of software related services revenue decreased 6% for the year ended December 31, 2022, as compared to the year ended December 31, 2021, primarily due to a decrease in employee compensation and related expense of $2.2 million, partially offset by an increase in facilities costs of $0.7 million.



Client engineering services

                                                 Year ended
                                                December 31,                   Change
(dollars in thousands)                       2022          2021            $             %
Cost of client engineering services
revenue                                    $  23,577     $  31,710     $  (8,133 )         (26 %)
As a percent of client engineering
services segment revenue                          82 %          81 %
As a percent of consolidated revenue               4 %           6 %



Cost of CES revenue decreased 26% for the year ended December 31, 2022, as
compared to the year ended December 31, 2021, consistent with the change in CES
revenue. We have managed CES headcount and compensation to match our customers'
demand for our staffing resources, and therefore our costs have moved
accordingly.

Other

                                           Year ended
                                          December 31,               Change
(dollars in thousands)                  2022        2021          $           %
Cost of other revenue                  $ 5,011     $ 6,960     $ (1,949 )     (28 %)
As a percent of other revenue               81 %        95 %

As a percent of consolidated revenue 1 % 1 %





Cost of other revenue decreased 28% for the year ended December 31, 2022, as
compared to the year ended December 31, 2021. This decrease was primarily a
result of the decrease in revenue and reduction in inventory obsolescence in the
current year.

Gross profit

                                             Year ended
                                            December 31,                Change
(dollars in thousands)                   2022          2021           $          %
Gross profit                           $ 449,332     $ 402,513     $ 46,819       12 %

As a percent of consolidated revenue 79 % 76 %

Gross profit increased $46.8 million, or 12%, for the year ended December 31, 2022, as compared to the year ended December 31, 2021. This increase in gross profit was primarily attributable to the increase in software revenue combined with a decrease in cost of revenue.



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Operating expenses

Operating expenses, as discussed below, support all the products and services
that we provide to our customers and, as a result, they are reported and
discussed in the aggregate.

Research and development

                                             Year ended
                                            December 31,                Change
(dollars in thousands)                   2022          2021           $          %
Research and development               $ 185,863     $ 151,049     $ 34,814       23 %

As a percent of consolidated revenue 32 % 28 %

Research and development expenses increased $34.8 million, or 23%, for the year ended December 31, 2022, as compared to the year ended December 31, 2021. Stock-based compensation expense increased $19.8 million and employee compensation and related expense increased $14.9 million, primarily due to increased headcount and compensation in the current year. The increases in stock-based compensation and headcount were driven by our current year acquisitions and the World Programming acquisition in December 2021.



In addition, cloud hosting and software maintenance expense, facilities costs,
and travel costs increased $1.3 million, $0.9 million, and $0.6 million,
respectively, in the current year. These increases were partially offset by
decreases in consulting fees and restructuring costs of $1.9 million and $1.7
million, respectively.

Sales and marketing

                                             Year ended
                                            December 31,                Change
(dollars in thousands)                   2022          2021           $          %
Sales and marketing                    $ 155,245     $ 132,750     $ 22,495       17 %

As a percent of consolidated revenue 27 % 25 %

Sales and marketing expenses increased $22.5 million, or 17%, for the year ended December 31, 2022, as compared to the year ended December 31, 2021. Stock-based compensation expense increased $15.6 million, selling expenses increased $2.5 million, and employee compensation and related expense increased $2.2 million for the year ended December 31, 2022. Additionally, cloud hosting and software maintenance expense increased $1.8 million and travel costs increased $1.6 million in the current year. These increases were partially offset by a decrease in restructuring costs of $1.8 million which were non-recurring in 2022.



General and administrative

                                            Year ended
                                           December 31,              Change
(dollars in thousands)                   2022         2021          $         %
General and administrative             $ 97,606     $ 91,500     $ 6,106       7 %

As a percent of consolidated revenue 17 % 17 %

General and administrative expenses increased $6.1 million, or 7%, for the year ended December 31, 2022, as compared to the year ended December 31, 2021. Professional fees increased $2.8 million, stock-based compensation expense increased $2.5 million, cloud hosting and software maintenance expense increased $1.6 million, and travel costs increased $0.9 million for year ended December 31, 2022. These increases were partially offset by decreases in facilities costs, employee compensation and related expense, and restructuring costs of $0.8 million, $0.5 million and $0.5 million, respectively.

Amortization of intangible assets



                                            Year ended
                                           December 31,               Change
(dollars in thousands)                   2022         2021          $         %

Amortization of intangible assets $ 27,510 $ 18,357 $ 9,153 50 % As a percent of consolidated revenue 5 % 3 %

Amortization of intangible assets increased $9.2 million for the year ended December 31, 2022, as compared to the year ended December 31, 2021. Amortization of intangible assets in the current year increased primarily as a result of recent acquisitions, partially offset by a reduction in amortization because of fully amortized intangibles.



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Other operating income, net

                                             Year ended
                                            December 31,                Change
(dollars in thousands)                   2022          2021           $          %
Other operating income, net            $ (9,955 )    $ (3,482 )    $ 6,473       186 %

As a percent of consolidated revenue (2 %) (1 %)

Other operating income, net increased $6.5 million for the year ended December 31, 2022, as compared to the year ended December 31, 2021, primarily due to a $7.2 million gain recognized on the mark-to-market adjustment of contingent consideration associated with the World Programming acquisition. This gain was partially offset by a $0.7 million decrease in grant income for the year ended December 31, 2022.



Interest expense

                                            Year ended
                                           December 31,               Change
(dollars in thousands)                  2022         2021          $           %
Interest expense                       $ 4,377     $ 12,065     $ (7,688 )     (64 %)

As a percent of consolidated revenue 1 % 2 %

Interest expense decreased $7.7 million for the year ended December 31, 2022, as compared to the year ended December 31, 2021, primarily due to the adoption of ASU 2020-06 on January 1, 2022. As a result of this adoption, we account for the 2024 Notes as a single liability, which eliminates the amortization of the debt discount. Prior to January 1, 2022, the carrying amount of the equity component was recorded as a debt discount and amortized to interest expense. Interest expense related to the amortization of debt issuance costs was $1.8 million for the year ended December 31, 2022, while interest expense related to the amortization of debt discount and issuance costs was $11.4 million for the year ended December 31, 2021. Interest costs on the 2027 Notes were $2.2 million for the year ended December 31, 2022.



Other expense, net

                                           Year ended
                                          December 31,            Change
(dollars in thousands)                   2022       2021         $         %
Other expense, net                     $ 16,899     $ 562     $ 16,337     NM

As a percent of consolidated revenue 3 % 0 %

Other expense, net increased by $16.3 million for the year ended December 31, 2022, as compared to the year ended December 31, 2021. We recognized expense of $16.6 million on the repurchase of a portion of our 2024 Notes, and an increase of $3.3 million in net foreign currency losses during the year ended December 31 2022, as compared to the year ended December 31, 2021. These losses were partially offset by a $3.6 million increase in interest income in the current year.



Income tax expense

                              Year ended
                             December 31,              Change
(dollars in thousands)     2022        2021          $         %
Income tax expense       $ 15,216     $ 8,506     $ 6,710       79 %


The effective tax rate was (54%) and (2,953%) for the year ended December 31, 2022 and 2021, respectively. The tax rate is affected by the Company being a U.S. resident taxpayer, the tax rates in the U.S. and other jurisdictions in which the Company operates, the relative amount of income earned by jurisdiction and the relative amount of losses or income for which no benefit or expense is recognized due to a valuation allowance. The effective tax rate was impacted by the geographic income mix in 2022 as compared to 2021, primarily related to a United States pre-tax loss of $62.7 million for the year ended December 31, 2022, for which a tax benefit was not recognized due to the valuation allowance, compared to a United States pre-tax loss of $27.9 million for the year ended December 31, 2021, for which a tax benefit was not recognized due to the valuation allowance. Income tax expense also includes taxes withheld outside of the United States attributable to remittances to the Company from certain foreign subsidiaries for which offsetting tax credits are not recognizable due to valuation allowance considerations.



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Net loss

                               Year ended
                              December 31,                 Change
(dollars in thousands)     2022          2021           $           %
Net loss                 $ (43,429 )   $ (8,794 )   $ (34,635 )     (394 %)

Net loss increased by $34.6 million for the year ended December 31, 2022, as compared to the year ended December 31, 2021. The increase in net loss was largely attributable to expense recognized on the repurchase of a portion of our 2024 Notes, increased stock-based compensation expense and increased foreign currency losses in the current year, partially offset by an increase in revenue and a gain on the mark-to-market adjustment of contingent consideration, as described above.

For information regarding the comparison of results of operations for the years ended December 31, 2021 and 2020, please see Item 7 of our Annual Report on Form 10-K for the year ended December 31, 2021.

Non-GAAP financial measures

We monitor the following key non-GAAP (United States generally accepted accounting principles) financial and operating metrics to help us evaluate our business, measure our performance, identify trends affecting our business, formulate business plans and make strategic decisions. In analyzing and planning for our business, we supplement our use of GAAP financial measures with non-GAAP financial measures, including Billings as a liquidity measure, Adjusted EBITDA as a performance measure and Free Cash Flow as a liquidity measure.




                         Year ended December 31,

(in thousands) 2022 2021 2020 Billings $ 607,602 $ 539,855 $ 480,447 Adjusted EBITDA $ 108,600 $ 85,253 $ 57,288 Free Cash Flow $ 29,922 $ 53,774 $ 26,789

Billings. Billings consists of our total revenue plus the change in our deferred revenue, excluding deferred revenue from acquisitions during the period. Given that we generally bill our customers at the time of sale but typically recognize a portion of the related revenue ratably over time, management believes that Billings is a meaningful way to measure and monitor our ability to provide our business with the working capital generated by upfront payments from our customers.

Billings increased by $67.7 million, or 13%, for the year ended December 31, 2022, as compared to the year ended December 31, 2021. This increase in Billings was attributable to an increase in Software segment billings.

Adjusted EBITDA. We define Adjusted EBITDA as net income (loss) adjusted for income tax expense (benefit), interest expense, interest income and other, depreciation and amortization, stock-based compensation expense, restructuring charges, asset impairment charges and other special items as determined by management. We believe that Adjusted EBITDA is a meaningful measure of performance as it is commonly utilized by us and the investment community to analyze operating performance in our industry.

Adjusted EBITDA increased by $23.3 million, or 27%, for the year ended December 31, 2022, as compared to the year ended December 31, 2021. This increase in Adjusted EBITDA was primarily attributable to the increase in gross profit, partially offset by an increase in operating expenses.

Free Cash Flow. Free Cash Flow is a non-GAAP financial measure that we calculate as cash flow provided by operating activities less capital expenditures. We believe that Free Cash Flow is useful in analyzing our ability to service and repay debt, when applicable, and return value directly to stockholders.

Net cash provided by operating activities for the year ended December 31, 2022, was $39.6 million, which reflects a decrease of $22.1 million compared to the year ended December 31, 2021. Free Cash Flow decreased by $23.9 million, or 44%, for the year ended December 31, 2022, as compared to year ended December 31, 2021. This decrease in Free Cash Flow was primarily attributable to a $65.9 million payment in January 2022, for a damages judgement assumed in an acquisition in December 2021, partially offset by an increase in our cash-related profitability and changes to our working capital position for the year ended December 31, 2022.



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These non-GAAP financial measures reflect an additional way of viewing aspects of our business that, when viewed with our GAAP results and the accompanying reconciliations to corresponding GAAP financial measures included in the tables below, may provide a more complete understanding of factors and trends affecting our business. These non-GAAP financial measures should not be relied upon to the exclusion of GAAP financial measures and are by definition an incomplete understanding of the Company and must be considered in conjunction with GAAP measures.

We believe that the non-GAAP measures disclosed herein are only useful as an additional tool to help management and investors make informed decisions about our financial and operating performance and liquidity. By definition, non-GAAP measures do not give a full understanding of the Company. To be truly valuable, they must be used in conjunction with the comparable GAAP measures. In addition, non-GAAP financial measures are not standardized. It may not be possible to compare these financial measures with other companies' non-GAAP financial measures having the same or similar names. We strongly encourage investors to review our consolidated financial statements and the notes thereto in their entirety and not to rely on any single financial measure.

Reconciliation of non-GAAP financial measures



The following tables provide reconciliations of revenue to Billings, net loss to
Adjusted EBITDA, and net cash provided by operating activities to Free Cash
Flow:

Billings
                                    Year ended December 31,
(in thousands)                  2022          2021          2020
Revenue                      $  572,221     $ 532,179     $ 469,921
Ending deferred revenue         144,460       106,032        95,079
Beginning deferred revenue     (106,032 )     (95,079 )     (83,567 )
Deferred revenue acquired        (3,047 )      (3,277 )        (986 )
Billings                     $  607,602     $ 539,855     $ 480,447


Adjusted EBITDA

                                                           Year Ended December 31,
(in thousands)                                         2022          2021         2020
Net loss                                             $ (43,429 )   $ (8,794 )   $ (10,500 )
Income tax expense                                      15,216        8,506        12,532
Stock-based compensation                                84,787       44,549        21,355
Interest expense                                         4,377       12,065        11,598
Depreciation and amortization                           35,504       25,644        23,806
Restructuring expense                                        -        5,053             -

Special adjustments, interest income and other (1) 12,145 (1,770 ) (1,503 ) Adjusted EBITDA

$ 108,600     $ 85,253     $  57,288

(1)

The year ended December 31, 2022, includes $16.6 million expense on repurchase of convertible senior notes, $6.8 million currency losses on acquisition-related intercompany loans, $7.2 million gains from the mark-to-market adjustment of contingent consideration associated with the World Programming acquisition, and $4.1 million of interest income. The year ended December 31, 2021, includes $1.2 million currency gains on acquisition-related intercompany loans and the year ended December 31, 2020, includes $1.0 million of proceeds from settlements related to an historical acquisition and $0.6 million of severance expense.




Free Cash Flow

                                                 Year ended December 31,
(in thousands)                                2022         2021         2020
Net cash provided by operating activities   $ 39,570     $ 61,623     $ 32,882
Capital expenditures                          (9,648 )     (7,849 )     (6,093 )
Free Cash Flow                              $ 29,922     $ 53,774     $ 26,789

Recurring Software License Rate. A key factor to our success is our recurring software license rate which we measure through billings, primarily derived from annual renewals of our existing subscription customer agreements. We calculate our recurring software license rate for a particular period by dividing (i) the sum of software term-based license billings, software license maintenance billings, and 20% of software perpetual license billings which we believe approximates maintenance as an element of the



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arrangement by (ii) the total software license, including all term-based subscriptions, maintenance and perpetual license billings from all customers for that period. Our recurring software license rate was 92% for each of the years ended December 31, 2022, 2021 and 2020.

Liquidity and capital resources

As of December 31, 2022, our principal sources of liquidity were $316.1 million in cash and cash equivalents and $200.0 million availability on our credit facility. As of December 31, 2022, our outstanding debt consists of $81.8 million and $230.0 million convertible notes due in 2024 and 2027, respectively.

During the period ended December 31, 2022, the conditions allowing holders of the Convertible Notes to convert were not met. Therefore, the Convertible Notes were classified as long-term debt on the consolidated balance sheet as of December 31, 2022. We have the ability to settle the Convertible Notes in cash, shares of our common stock, or a combination of cash and shares of our common stock at our own election.

During the year ended December 31, 2022, under our stock repurchase program, we repurchased 460,950 shares of our Class A Common Stock at an average price of $46.99 per share for a total cost of approximately $21.7 million. As of December 31, 2022, approximately $28.3 million of shares remained available for repurchase under the program.

We continue to evaluate possible acquisitions and other strategic transactions designed to expand our business. As a result, our expected uses of cash could change, our cash position could be reduced, or we may incur additional debt obligations to the extent we complete additional acquisitions.

Our existing cash and cash equivalents may fluctuate during fiscal 2023, due to changes in our planned cash expenditures, including changes in incremental costs such as direct costs and integration costs related to acquisitions. Cash from operations could also be affected by various risks and uncertainties, including, but not limited to, the effects of COVID-19 and global unrest. It is possible that certain customers may unilaterally decide to extend payments on accounts receivable, however our customer base is comprised primarily of larger organizations with typically strong liquidity and capital resources.

We believe that our existing cash balances, together with funds generated from operations and amounts available under our credit facility, will be sufficient to finance our operations and meet our foreseeable cash requirements for the next twelve months. We also believe that our financial resources, along with managing discretionary expenses, will allow us to manage the impact of COVID-19 on our business operations for the foreseeable future and withstand global unrest, which could include reductions in revenue and delays in payments from customers and partners. We will continue to evaluate our financial position as developments evolve relating to COVID-19 and global unrest.

Revolving credit facility

On November 7, 2022, we exercised the $50.0 million accordion feature of our credit facility in accordance with the terms and conditions set forth in our credit agreement. In June 2022, we amended our credit agreement to, among other things, permit the issuance of the 2027 Notes and extend the maturity date of the credit facility to December 31, 2025.

As of December 31, 2022, there were no outstanding borrowings under the 2019 Amended Credit Agreement and there was $200.0 million available for future borrowing. The 2019 Amended Credit Agreement is available for general corporate purposes, including working capital, capital expenditures and permitted acquisitions.

The 2019 Amended Credit Agreement is secured by collateral including (i) substantially all of our properties and assets, and the properties and assets of our domestic subsidiaries but excluding any patents, copyrights, patent applications or copyright applications or any trade secrets or software products and (ii) pledges of the equity interests in all present and future domestic subsidiaries (subject to certain exceptions as provided for under the 2019 Amended Credit Agreement). Our direct and indirect domestic subsidiaries are guarantors of all of the obligations under the 2019 Amended Credit Agreement. In addition, the 2019 Amended Credit Agreement contains financial covenants which require, as of the end of each fiscal quarter, a Senior Secured Leverage Ratio not greater than 3.0 to 1.0, as such terms are defined in the 2019 Amended Credit Agreement. As of December 31, 2022, we were in compliance with all financial covenants. For additional information about the 2019 Amended Credit Agreement, see Note 7 in the Notes to consolidated financial statements in Item 15, Part IV of this Annual Report on Form 10-K.



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Cash flows

As of December 31, 2022 and 2021, respectively, we had an aggregate of cash and cash equivalents of $316.1 million and $413.7 million, which we held for working capital purposes, acquisitions, and capital expenditures. As of December 31, 2022 and 2021, respectively, $222.0 million and $348.0 million of this aggregate amount was held in the United States, and $88.3 million and $60.2 million was held in the APAC and EMEA regions combined, with the remainder held in Canada, Mexico, and South America.

Other than statutory limitations, there are no significant restrictions on the ability of our subsidiaries to pay dividends or make other distributions to Altair. Based on our current liquidity needs and repatriation strategies, we expect that we can manage our global liquidity needs without material adverse tax implications.

The following table summarizes our cash flows for the periods indicated:



                                                         Year ended December 31,
(in thousands)                                      2022           2021         2020 (1)

Net cash provided by operating activities $ 39,570 $ 61,623 $ 32,882 Net cash used in investing activities

              (154,511 )      (62,482 )      (49,092 )
Net cash provided by financing activities            22,981        175,947         31,250
Effect of exchange rate changes on cash, cash
equivalents and restricted cash                      (5,094 )       (2,623 )        3,010
Net (decrease) increase in cash, cash
equivalents and restricted cash                  $  (97,054 )   $  172,465     $   18,050

_____________________________

(1)

For information regarding a comparison of net cash provided/used in operating activities, investing activities and financing activities for the years ended December 31, 2021 and 2020, please see Item 7 of our Annual Report on Form 10-K for the year ended December 31, 2021.

Net cash provided by operating activities

Net cash provided by operating activities for the year ended December 31, 2022, was $39.6 million, which reflects a decrease of $22.1 million compared to the year ended December 31, 2021. This decrease was the result of a $65.9 million payment in January on an existing damages judgment against World Programming, and changes to our working capital position for the year ended December 31, 2022.

Net cash used in investing activities

Net cash used in investing activities for the year ended December 31, 2022, was $154.5 million, which reflects an increase of $92.0 million compared to the year ended December 31, 2021. For the year ended December 31, 2022, we paid $96.7 million for the acquisition of RapidMiner, and an additional $47.8 million related to other business acquisitions and investments.

Net cash provided by financing activities

Net cash provided by financing activities for the year ended December 31, 2022, was $23.0 million, which reflects a decrease in cash provided of $153.0 million compared with the year ended December 31, 2021. For the year ended December 31, 2022, we received aggregate proceeds of $224.3 million from the issuance of our 2027 Notes, net of certain discounts and commissions, partially offset by $192.4 million proceeds used for the repurchase of a portion of our 2024 Notes. In addition, we used $19.7 million to repurchase shares of our Class A Common Stock under our stock repurchase program in the current year.

Effect of exchange rate changes on cash, cash equivalents and restricted cash

There were adverse effects of exchange rate changes on cash, cash equivalents and restricted cash of $5.1 million and $2.6 million for the years ended December 31, 2022 and 2021, respectively.

Commitments

As of December 31, 2022, our principal commitments consist of our $81.8 million and $230.0 million convertible notes due in 2024 and 2027, respectively.

As of December 31, 2022, we have recorded a $12.0 million liability as part of the acquisition consideration of World Programming that is contingent upon the results of certain legal matters and will be settled in the Company's Class A common stock.



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As of December 31, 2022, we had a net benefit liability of $13.1 million associated with our pension and post-retirement benefit plans. For additional information on pension and other post-retirement benefits, including expected benefit payments for the next 10 years, see Note 14 in the Notes to consolidated financial statements included elsewhere in this Annual Report on Form 10-K.

We have non-cancelable contractual agreements primarily related to the hosting of our data storage processing, storage, and other computing services, as well as other commitments. We had $26.3 million in non-cancelable contractual agreements as of December 31, 2022, primarily due within three years.

We also have approximately $30.0 million of tax liabilities associated with uncertain tax positions. There is a high degree of uncertainty regarding the future cash outflows associated with these amounts. For additional discussion of uncertain tax positions, see Note 12 in the Notes to consolidated financial statements included elsewhere in this Annual Report on Form 10-K.

Critical accounting estimates

Our management's discussion and analysis of our financial condition and results of operations is based on our financial statements, which have been prepared in accordance with GAAP. The preparation of these financial statements requires us to make estimates and assumptions that affect the reported amounts of assets and liabilities and the disclosure of contingent assets and liabilities at the date of the financial statements, as well as the reported revenues generated and expenses incurred during the reporting periods. Our estimates are based on our historical experience and on various other factors that we believe are reasonable under the circumstances, the results of which form the basis for making judgments about the carrying value of assets and liabilities that are not readily apparent from other sources. Actual results may differ from these estimates under different assumptions or conditions. We believe that the accounting estimates discussed below are critical to understanding our historical and future performance, as these estimates relate to the more significant areas involving management's judgments and assumptions. Refer to Note 2 to our consolidated financial statements for our significant accounting policies related to our critical accounting estimates.

Revenue recognition

We generate revenue from our Software and CES segments and our other businesses. Revenue is recognized by identifying a contract with a customer, identifying the performance obligations in the contract, determining the transaction price, allocating the transaction price to the performance obligations in the contract, and recognizing revenue when (or as) we satisfy a performance obligation.

Software

Software revenue includes product revenue from software product licensing arrangements, related services consisting of software maintenance and support in the form of post-contract customer support (PCS or maintenance) and professional services such as consulting and training services. Software products are sold to customers primarily under a term-based software licensing model and to a lesser degree, perpetual software licenses. We enter into contracts that include combinations of products, maintenance and services, which are accounted for as separate performance obligations with differing revenue recognition patterns.

Most term-based software license agreements include our patented units-based subscription model which allows customers to license a pool of units for their organizations, providing individual users flexible access to our portfolio of engineering software applications as well as to our growing portfolio of partner products. The amount of software usage is limited by the number of the units licensed by the customer. Revenue from these arrangements is fixed (based on the units licensed) and is not based on actual customer usage of each software product.

Revenue from term-based software licenses is classified as license software revenue. Term-based licenses are sold only as a bundled arrangement that includes the rights to a term software license and PCS, which includes unspecified technical enhancements and customer support. Maximizing the use of observable inputs, we determined that a majority of the estimated standalone selling price of the term-based license is attributable to the term license and a minority is attributable to the PCS. The license component is recognized as revenue upon the later of delivery of the licensed product or the beginning of the license period. The PCS is classified as maintenance revenue and is recognized ratably over the term of the contract, as we provide the PCS benefit over time.

In addition to term-based software licenses, we sell perpetual licenses. Typically, our perpetual licenses are sold with PCS, which includes unspecified technical enhancements and customer support. Revenue from the software component is classified as license software revenue and is recognized upon the later of delivery of the licensed product or the beginning of the license period. We allocate values in bundled perpetual and PCS arrangements based on the standalone selling prices of the perpetual license and PCS. Revenue from PCS is classified as maintenance revenue and is recognized ratably over the term of the contract, as we satisfy the PCS performance obligation over time.



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Revenue from training, consulting and other services is recognized as the services are performed. For contracts in which the service consists of a single performance obligation, such as providing a training class to a customer, we recognize revenue upon completion of the performance obligation. For service contracts that are longer in duration and often include multiple performance obligations (for example, both training and consulting), we measure the progress toward completion of the obligations and recognize revenue accordingly. In measuring progress towards the completion of performance obligations, we typically utilize output-based estimates for services with contractual billing arrangements that are not based on time and materials, and estimate output based on the total tasks completed as compared to the total tasks required for each work contract. Input-based estimates are utilized for services that involve general consultations with contractual billing arrangements based on time and materials, utilizing direct labor as the input measure.

We also execute arrangements through indirect channel partners in which the channel partners are authorized to market and distribute our software products to end users of our products and services in specified territories. In sales facilitated by channel partners, the channel partner generally bears the risk of collection from the end-user customer. We recognize revenue from transactions with channel partners in a manner consistent with the direct sales described above for both perpetual and term-based licenses. Revenue from channel partner transactions is the amount remitted to us by the channel partners. This amount includes a fee for PCS that is compensation for providing technical enhancements and the second level of technical support to the end user, which is recognized over the period that PCS is to be provided. We do not offer right of return, product rotation or price protection to any of its channel partners.

Some of our contracts with customers contain multiple performance obligations. Judgment is required in determining whether each performance obligation is distinct. We allocate the transaction price for each contract to each performance obligation based on the relative standalone selling price, or SSP, for each performance obligation within each contract. The SSP is the price that we would sell a promised service separately to one of our customers. Judgment is required to determine the SSP for each distinct performance obligation. We estimate SSP using information such as past transactions, internally approved pricing guidelines related to the performance obligations and other information reasonably available to us.

Non-income related taxes collected from customers and remitted to governmental authorities are recorded on the consolidated balance sheet as accounts receivable, net and other accrued expenses and current liabilities. These amounts are reported on a net basis in the consolidated statements of operations and do not impact reported revenues or expenses. Certain hardware revenue is included within software revenue and is recognized when all revenue recognition criteria stated above are met, which is generally when the products are delivered to end customers.

Acquisitions

We account for acquisitions of entities that include inputs and processes and have the ability to create outputs as business combinations. We allocate the fair value of purchase consideration of acquired businesses to the identifiable tangible and intangible assets acquired and liabilities assumed in the transaction based upon their estimated fair values as of the acquisition date. The excess of the purchase price over those fair values is recorded as goodwill. During the measurement period, which may be up to one year from the acquisition date, we may record adjustments to the assets acquired and liabilities assumed with the corresponding offset to goodwill. Upon the conclusion of the measurement period or final determination of the values of assets acquired or liabilities assumed, whichever comes first, any subsequent adjustments are recorded to the consolidated statements of operations.

We determine the estimated fair values using information available to us and engage independent third-party valuation specialists when necessary. We generally use an income approach to determine the fair value of intangible assets acquired. Estimating fair values can be complex and subject to significant business judgment. Critical estimates in valuing certain of the intangible assets we have acquired include, but are not limited to, future expected cash flows from product sales, customer contracts and acquired technologies, expenses to operate the acquired business, and discount rates. Unanticipated events and circumstances may occur that could affect either the accuracy or validity of such assumptions, estimates or actual results. Although we believe the assumptions and estimates we have made in the past have been reasonable and appropriate, these estimates are based on historical experience and information obtained from the management of the acquired companies and are inherently uncertain.

Income taxes

We utilize the asset and liability method of accounting for income taxes in accordance with ASC 740, Accounting for Income Taxes. Under this method, deferred tax assets and liabilities are determined based on differences between the financial reporting and tax basis of assets and liabilities. Deferred tax assets and liabilities are measured using the enacted tax rates and statutes that will be in effect when those differences are expected to reverse. Deferred tax assets can result from unused operating losses, research and development credits, foreign tax credit carryforwards, and deductions recorded for financial statement purposes prior to them being deductible on a



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tax return. Valuation allowances are provided against net deferred tax assets if, based upon the available evidence, it is more likely than not that some or all of the deferred tax assets will not be realized.

The ultimate realization of deferred tax assets is dependent upon the generation of future taxable income and the reversal of taxable temporary differences. We consider, among other available information, scheduled reversals of deferred tax liabilities, projected future taxable income, limitations on the availability of tax credit carryforwards, and other evidence assessing the potential realization of deferred tax assets. Adjustments to the valuation allowance are included in the tax provision in our consolidated statements of operations in the period they become known or can be estimated.

The valuation allowance is based on our estimates of taxable income for jurisdictions in which we operate and the period over which our deferred tax assets may be recoverable. Historically, we have had substantial United States tax credit carryforwards which began to expire in 2018. The ability to utilize these DTAs is highly dependent upon our ability to generate taxable income in the United States in the future.

We apply a more-likely-than-not recognition threshold to our accounting for tax uncertainties. We review all of our tax positions and make determinations as to whether our tax positions are more likely than not to be sustained upon examination by the relevant taxing authorities. Only those benefits, or exposures, that have a greater than fifty percent likelihood of being sustained upon examination by taxing authorities are recognized. Interest and penalties related to uncertain tax positions are recorded in income tax expense (benefit) in the consolidated statements of operations.

Recently issued accounting pronouncements

For information regarding recent accounting guidance and the impact of this guidance on our consolidated financial statements, see Note 2 of the Notes to consolidated financial statements in Item 15, Part IV of this Annual Report on Form 10-K, which is incorporated by reference. Item 7A. Quantitative and Qualitative Disclosures About Market Risk

We are exposed to certain global market risks, including foreign currency exchange risk and interest rate risk associated with our debt.

Foreign Currency Risk

As a result of our substantial international operations, we are exposed to foreign currency risks that arise from our normal business operations, including in connection with our transactions that are denominated in foreign currencies. In addition, we translate sales and financial results denominated in foreign currencies into United States dollars for purposes of our consolidated financial statements. As a result, appreciation of the United States dollar against these foreign currencies generally will have a negative impact on our reported revenue and operating income while depreciation of the United States dollar against these foreign currencies will generally have a positive effect on reported revenue and operating income.

As of December 31, 2022, we do not have any foreign currency hedging contracts. Based on our current international operations, we do not plan on engaging in hedging activities in the near future.

Market Risk and Interest Rate Risk

In June 2022, we issued $230.0 million aggregate principal amount of 1.750% convertible senior notes due in 2027 (the "2027 Notes"). In June 2019, we issued $230.0 million aggregate principal amount of 0.250% convertible senior notes due 2024 (the "2024 Notes" together with the 2027 Notes "Convertible Notes"), of which approximately $148.2 million aggregate principal amount had been repurchased as of December 31, 2022. The 2027 Notes and 2024 Notes have fixed annual interest rates at 1.750% and 0.250%, respectively, and, therefore, we do not have interest rate exposure on our Convertible Notes. However, the value of the Convertible Notes is exposed to interest rate risk. Generally, the fair market value of our fixed interest rate Convertible Notes will increase as interest rates fall and decrease as interest rates rise. In addition, the fair values of the Convertible Notes are affected by our stock price. The fair value of the Convertible Notes will generally increase as our Class A common stock price increases in value and will generally decrease as our Class A common stock price declines in value. Additionally, we carry the Convertible Notes at face value less unamortized issuance costs on our balance sheet, and we present the fair value for required disclosure purposes only.

As of December 31, 2022, we had cash, cash equivalents and restricted cash of $317.0 million, consisting primarily of bank deposits and money market funds. As of December 31, 2022, we had no borrowings outstanding under our 2019 Amended Credit Agreement. Such interest-bearing instruments carry a degree of interest rate risk; however, historical fluctuations of interest expense have not been significant.



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Interest rate risk relates to the gain/increase or loss/decrease we could incur on our debt balances and interest expense associated with changes in interest rates. Changes in interest rates would impact the amount of interest income we realize on our invested cash balances. It is our policy not to enter into derivative instruments for speculative purposes, and therefore, we hold no derivative instruments for trading purposes.

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