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Details include schedule (MWF 10:00–10:50am at RLM 5.122), faculty and office hours, prerequisite requirements, and course description linking life contingencies (CAS Exam 3L) and SOA Exam MLC topics such as life insurance, survival models, life tables, annuities, and premium calculation. Learning outcomes cover decrement models, Markov chain approaches, present/accumulated value methods, reserves and benefit reserves, universal life contract account values, expense cash flows, and quantitative reasoning expectations.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/m-339u-actuarial-contingent-payments-i-course-syllabus-fall-2012/399346/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/m-339u-actuarial-contingent-payments-i-course-syllabus-fall-2012/399346.png","ImageObject",300,407,{"name":92,"@type":93},"Stanley","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-05","2026-09-27",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",17,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What topics are covered in M 339U Actuarial Contingent Payments I?","Question",{"text":113,"@type":114},"The course covers life insurance and life contingencies, including survival models, life tables, insurance benefits, annuities, and premium calculation, in conjunction with related SOA/CAS exam content. Quantitative reasoning and core assumptions in calculus, probability, and interest theory are emphasized.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What models and methods are included in the learning outcomes?",{"text":118,"@type":114},"Learning outcomes include decrement models for insurances and annuities, probability and moment calculations, and present value/accumulated value under non-stochastic interest models. Markov chain models and discrete approximations are used to transition between states and to compute cash-flow present values.",{"name":120,"@type":111,"acceptedAnswer":121},"How are reserves and benefit reserves treated in this course?",{"text":122,"@type":114},"Reserves are used as an accounting entry to allocate income across the contract life. The outcomes specify calculating benefit reserves and premiums, including equivalence principles and extensions to secondary guarantees and Markov-chain-based reserve computations. The syllabus also includes expense cash-flow modeling.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},399346,1790528077,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":29,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145,"preview_page_count":4},2336477405376,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","University of Texas, Austin Course Syllabus Department of Mathematics M 339U (56090): Actuarial Contingent Payments I  \nFall 2012  \nI. Course Title: M 339U Actuarial Contingent Payments I (Unique 56090)  \nII. Location, Days, and Time: RLM 5.122 MWF 10:00am-10:50am  \nIII. Faculty: Alisa Havens, MA Lecturer of Mathematics  \nCAS Exams: 1-5, 7, C1, C2, COP, VE, VF, VS  \nOffice: RLM 13.148  \nOffice Hours: MWF 9:00am-9:30am  \nand MW 2:30pm-3:30pm  \nAdditional hours available by appointment  \nNote: Students are expected to bring their class notes with them to office hours.  \nE-mail: [ahavens@math.utexas.edu](ahavens@math.utexas.edu) (best way to communicate)  \nTelephone: (512) 232-6189 – UT (I never check the voice mail)  \nIV . Prerequisites: M 362K, ACF 329, and either M340L or M341 with a grade of ‘C- ’ or better.  \nV . Description of the Course: In conjunction with M 339V, these two courses cover the content of SOA Exam MLC and the life contingencies material on CAS Exam 3L. Topics covered: life insurance, survival models, life tables, insurance benefits, annuities, and premium calculation.  \nIn addition, this course carries the Quantitative Reasoning Flag. Quantitative Reasoning courses are designed to equip you with skills that are necessary for understanding the types of quantitative arguments you will regularly encounter in your adult and professional life. You should therefore expect a substantial portion of your grade to come from your use of quantitative skills to analyze real-world problems.  \nA thorough knowledge of calculus, probability, and interest theory is assumed.  \nKnowledge of risk management at the level of Exam P/1 is also assumed.  \nVI . Calculators: Any approved calculator can be used for this class (approved list: [http://www.soa.org/education/exam-req/exam-day-info/edu-calculators.aspx](http://www.soa.org/education/exam-req/exam-day-info/edu-calculators.aspx)) . It is strongly recommended that you use the Texas Instruments BAII Plus or Texas Instruments BAII Plus Professional. My personal favorite calculator is the Texas Instruments 30XS Multiview, but it does not have the same financial capabilities of the BAII’s. If I was taking this class, I would use both.  \nVII . Learning Outcomes:  \n1) Describe the common decrements and their application to insurances and annuities. (0-5%)  \n2) Models used to model decrements used in insurances and annuities. (10-20%)  \na. Calculate single, joint, marginal, and conditional probabilities, as applicable, and moments for the time-to-decrement, age-at-decrement, and cause-of-decrement random variables based on single decrement on single life models, multiple decrements on single life models, and single decrement on multiple lives models.  \nb. Calculate the probability of being in a particular state and transitioning between states based on continuous-time Markov chain models, discrete approximations of continuous-time Markov chain models and discretetime Markov chain models.  \n3) Calculate present values and accumulated values using non-stochastic interest rate models. (0-5%)  \n4) Models used to model cash flows of traditional life insurances and annuities.(15-20%  \na. Calculate single, joint, marginal, and conditional probabilities, as applicable, and moments of the present-value-of-benefits and presentvalue-of-premium random variables based on single decrement on single life models, multiple decrements on single life models, and single decrement on multiple lives models.  \nb. Calculate present values of cash flows.  \nc. Calculate present values of cash flows by redefining the present-value-ofbenefit and present-value-of-premium random variables to Markov chain models.  \n5) Describe how reserves are used as an accounting entry to allocate income over the life of a contract. (0-5%)  \n6) Benefit reserves for traditional life insurances and annuities. (15-25%)  \na. Calculate moments of the loss-at-issue random and future-loss random variables based on single decrement on sin","cbCaih1pcDjMWeO7","https://ap.wps.com/l/cbCaih1pcDjMWeO7","pdf",232349,"English","# Course Information\n## Location, Days, and Time\n## Faculty and Office Hours\n## Contact Information\n# Course Requirements\n## Prerequisites\n## Calculators\n# Course Description and Outcomes\n## Description\n## Learning Outcomes","[{\"question\":\"What topics are covered in M 339U Actuarial Contingent Payments I?\",\"answer\":\"The course covers life insurance and life contingencies, including survival models, life tables, insurance benefits, annuities, and premium calculation, in conjunction with related SOA/CAS exam content. Quantitative reasoning and core assumptions in calculus, probability, and interest theory are emphasized.\"},{\"question\":\"What models and methods are included in the learning outcomes?\",\"answer\":\"Learning outcomes include decrement models for insurances and annuities, probability and moment calculations, and present value/accumulated value under non-stochastic interest models. Markov chain models and discrete approximations are used to transition between states and to compute cash-flow present values.\"},{\"question\":\"How are reserves and benefit reserves treated in this course?\",\"answer\":\"Reserves are used as an accounting entry to allocate income across the contract life. The outcomes specify calculating benefit reserves and premiums, including equivalence principles and extensions to secondary guarantees and Markov-chain-based reserve computations. The syllabus also includes expense cash-flow modeling.\"}]","M 339U Actuarial Contingent Payments I - Course Syllabus - Fall 2012 | PDF",1790496329,15]